## Potential Energy Questions and Answers

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A rocket of mass m is trying to escape the gravitational attraction of a planet with mass M and radius RP, (a) What is the gravitational potential of the rocket at the surface of the planet? (b) Wh...

A 4.80-kg block is set into motion up an inclined plane with an initial speed of vi = 7.60 m/s (see the picture below). The block comes to rest after traveling d = 3.00 m along the plane, which is...

When an electron moves from A to B along an electric field line in the figure, the electric field does 5.10 x 10^-19 J of work on it. What is the electric potential difference between VC - VA?

A 4.80-kg block is set into motion up an inclined plane with an initial speed of vi = 7.60 m/s (see the figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is i...

A small block of mass m = 48 g can slide along the frictionless loop-the-loop, with loop radius R = 29 cm. The block is released from rest at point P at the height h = 7.0R above the bottom of the...

Asteroids X, Y, and Z have an equal mass of 3.0 kg each. They orbit around a planet with M = 6.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

Asteroids X, Y, and Z have an equal mass of 3.0 kg each. They orbit around a planet with M = 5.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

The circuit below contains ideal batteries with zero internal resistance, electrically identical bulbs when they carry the same current (or have the same voltage across them), ideal wires with zero...

Asteroids X, Y, and Z have an equal mass of 3.0 kg each. They orbit around a planet with M = 3.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

Asteroids X, Y, and Z have an equal mass of 7.0 kg each. They orbit around a planet with M = 7.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

Two concentric conducting spherical shells (thickness is neglected) are separated by a vacuum. One of the shells has a radius of 4 m, the other has a radius of 9 m. The total charge of one of the s...

A 50.0 kg skier with an initial speed of 13.0 m/s coasts up a 2.50 m high rise, as shown in the following figure. Find her final speed at the top (in m/s), given that the coefficient of friction be...

The figure shows a mass m on an inclined plane connected by an inextensible string over a smooth pulley to a r mass M. When the mass M falls through a distance x, the mass m moves up a vertical dis...

A circular loop of radius 0.17 m lies in the xy-plane and carries a current of 8.3 A in the direction shown in the figure. The loop is placed in a uniform magnetic field vector B = -4.7 cap k T. Wh...

A 2k particle moves under the following piecewise continuous potential: V(x) = 100 x less than or equal to -3; 50x + 250 -3 < x less than or equal to -2; 25x^2 _ 50 -2 < x less than or equal to 2;...

A 0.8 kg bead slides on a curved wire, starting from rest at point A as shown in the below figure. The segment from A to B is frictionless, and the segment from B to C is rough. The point A is at h...

A bead of mass m = 50 g is moving on the track shown in the below figure. What is the change in its potential energy as it moves from point A to point C? (a) -98 J (b) -20 J (c) -78 J (d) +78 J (e)...

A 12.5 kg crate slides along a horizontal frictionless surface at a constant speed of 4.0 m/s. The crate then slides down a frictionless incline and across a second horizontal surface as shown in t...

Asteroids X, Y, and Z have an equal mass of 9.0 kg each. They orbit around a planet with M = 5.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

A 2.23 kilogram object is 81.12 meters above the ground. What is the object's gravitational potential energy at this height? Round your final answer to two decimal places.

A 1.45 kg block slides with a speed of 0.925 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 721 N/m. The block comes to rest after compressing the sp...

Find the intensity of the gravitational field and gravitational potential of the earth at a height h = 600 km above the surface of the earth. (Use R = 6.4 times 10^6 m}, g = 9.8 m/s^{-2}.)

The food calorie, equal to 4,186 J, is a measure of how much energy is released when food is metabolized by the body. A certain brand of the fruit-and-cereal bar contains 160 food calories per bar....

The energy diagram below is for the molecular bond in an HCl molecule. In a very simplified model of the oscillations in the bond, we assume that the Cl atom is at rest while the H atom oscillates...

The image shows a setup of a spring system. Before the bird lands on the perch, the spring stretches 5 cm. The bird then falls onto the perch from a height of 16.3 cm. The mass of the bird is 2.5 k...

What are the three forms of potential energy that can be used in society today and give an example of an energy source associated with each form?

You drop a 1.50 kg book to a friend who stands on the ground at a distance D = 13.0 m below. If your friend's outstretched hands are at a distance d = 1.50 m above the ground see the below figure....

A 92.0 kg mail bag hangs by a vertical rope 3.9 m long. A postal worker then displaces the bag to a position 2.9 m sideways from its original position, always keeping the rope taut. (a) As the bag...

Asteroids X, Y, and Z have an equal mass of 8.0 kg each. They orbit around a planet with M = 4.20E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

In the absence of air resistance, a ballplayer tosses a ball straight up. a) By how much does the speed increase while it is ... i) descending? ii) ascending? b) How does the time of ascent compare...

A 1.80-kilogram object is 74.94 meters above the ground. What is the object's potential energy (in joules) at this height? Round your final answer to two decimal places.

A square wire with a side length of 1 cm is in the x-y plane with a current of 2.25 A running counterclockwise, as seen from above. A constant magnetic field of magnitude 85 T points in the positiv...

The coil in the below figure carries a current i = 1.81 A in the direction indicated, is parallel to an xz plane, has 6 turns, and has an area of 5.65 x 10^-3 m^2, and lies in a uniform magnetic fi...

A rocket with a mass of 5.00 x 10^3 kg is in a circular orbit of radius 7.30 x 10^6 m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.90 x 10^6 m, with...

An object having mass m at some height above the ground h has gravitational potential energy of mgh, where g is the acceleration due to gravity (~9.8 m/s^2). Explain why objects moving back and for...

Asteroids X, Y, and Z have an equal mass of 3.0 kg each. They orbit around a planet with M = 4.20 E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

A block of mass m = 2.00 kg is attached to a spring of force constant k = 535 N/m as shown in the figure below. The block is pulled to a position xi = 4.20 cm to the right of equilibrium and releas...

A marble of mass 50 g is released from rest at point A, 2 m above ground on a smooth surface as shown in the figure below. The marble then passes through point B at ground level and point C, 1 m ab...

How much work is done against gravity in lifting a 5 kg object through a distance of 40 cm?

A 50.0 kg student climbs a 5.00 m long rope and stops at the top. What must her average speed be in order to match the power output of a 200 W lightbulb?

Consider the circuit shown below. The capacitor is initially uncharged and the switch S is open. At time t = 0, the switch is closed. Find the energy stored in the capacitor a long time after the s...

A 50 micro C charged sphere of mass 0.050 kg is 2.0 m away from a -30 micro C charged sphere. The 50 micro C charged sphere is moved at a steady speed to a point of 1.2 m. What is the change in the...

Find the potential energy of an arrangement with three particles with charges q = 2 micro C and located at the points x1 = 0, x2 = 3 and x3 = 5, where the positions are in meters.

In the figure, a 2.10 g ice flake is released from the edge of a hemispherical bowl whose radius r is 32 cm. The flake-bowl contact is frictionless. If we substituted a second flake with 6 times th...

The figure shows a horizontal force F pushes a 20 kg box to move it up a smooth inclined plank from position X to position Y. The magnitude of the force F is 200 N. Find the potential energy at Y....

A ball of mass m = 0.127 kg is dropped from a height of h1 = 3.05 m above the ground. After it bounces, it only reaches a height of h2 = 2.14 m above the ground. How much energy, in Joules, does th...

A 70 kg hiker climbs to the top of a 4200 m high mountain. The climb is made in 4.0 h starting at an elevation of 3200 m. Calculate the work done against gravity.

A massless rod of length L has a mass 2m fastened at its center and another mass m fastened at one end. On the opposite end from the mass m, the rod is hinged with a frictionless hinge. The rod is...

A small block of mass m = 39 g can slide along the frictionless loop-the-loop, with loop radius R = 17 cm. The block is released from rest at point P, at height h = 6.0R above the bottom of the loo...

A ball of mass 1.95 kg is tied to a string of length 5.45 m, as shown in the figure below. The ball is initially hanging vertically and is given an initial velocity of 9.7 m/s in the horizontal dir...

Considering the process used to produce energy, which of the following does not use potential energy predominantly? a. Fossil fuel. b. Hydroelectric. c. Burning natural gas. d. Windmills on wind fa...

If for some inexplicable reason Earth was to suddenly stop orbiting the sun, what would be its impact velocity at the point just as its surface contacted the sun's surface?

What is the gravitational potential energy of the moon with respect to the Earth? (Assume the surfaces of these two very large bodies are to remain intact.)

Consider the following diagram. Ball A has stopped moving in the final setup, but energy must be conserved. What happened to the potential energy of ball A?

Consider the following diagram. Compare balls A and B in terms of potential energy in both the initial and final setups.

Asteroids X, Y, and Z have an equal mass of 7.0 kg each. They orbit around a planet with M = 5.20 E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

A spring is mounted at an angle of theta = 25 degrees on a frictionless incline as illustrated in the figure given below. The spring is compressed by 15 cm where it is allowed to propel a mass of 5...

A 4.2-kg block is pushed 2.2 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of theta = 30 degrees with the horizontal, as shown in the diagram. If t...

A 15.0 kg stone slides down a snow-covered hill, leaving point A with a speed of 10.0 m/s. There is no friction on the hill between points A and B but there is friction on the level ground at the b...

In a show, a 75.0-kg man swings from a 10.8 m-long rope that is initially horizontal. At the lowest point of the swing, he picks up a 51.5-kg woman in a perfectly inelastic collision. Ignoring any...

A child of mass m starts from rest and slides without friction from a height along a curved waterslide (see figure). She is launched from a height of h/5 into the pool. Determine her initial speed...

Asteroids X, Y, and Z have an equal mass of 4.0 kg each. They orbit around a planet with M = 4.20 E + 24 kg. The orbits are in the plane of the paper and are drawn to scale. The potential energy of...

A pole having a length of 3.400 m is balanced vertically on its tip. It starts to fall and its lower end does not slip. If the mass of the pole is 12.60 kg, what will be the change in gravitational...

A skater (69 kg) starts at rest on the tall end of an asymmetric half-pipe (8 m). They skate down into the half-pipe and up the other side. At the short end of the half-pipe of 3 meters, they measu...

A skater of 69 kg starts at rest on the tall end of an asymmetric half-pipe of 8 m. They skate down into the half-pipe and up the other side. At the short end of the half-pipe (3 m), they measure t...

A skater (69 kg) starts at rest on the tall end of an asymmetric half-pipe (8 m). They skate down into the half-pipe and up the other side. At the short end of the half-pipe (3 meters), they measur...

A skater of 69 kg starts at rest on the tall end of an asymmetric half-pipe (8 m). They skate down into the half-pipe and up the other side. At the short end of the half-pipe (3 m), they measure th...

A skater (69 kg) starts at rest on the tall end of an asymmetric half-pipe 8 m. They skate down into the half-pipe and up the other side. At the short end of the half-pipe (3 m), they measure their...

A 120 g ball is dropped off a 20 meter cliff. Assuming that all of the ball's potential energy is converted to kinetic energy, what would its velocity be right before hitting the ground?

How high in the air is a bird with a mass of 1kg and gravitational energy of 40J ?

A rollercoaster car is moving at 20 m/s along a straight horizontal track. Ignoring friction, predict its speed after climbing a 15 m hill.

A man with a mass of 85 Kg is painting the outside of his house. Calculate the difference in potential energy he had acquired when he is 1.5m above the ground and when he is 3.5m above the ground.

An apple with a mass of 154g is placed 1.5m above the ground. What is its gravitational potential energy?

A satellite of mass 236 kg is in a circular orbit around the earth at an altitude of 2500 miles. Find the gravitational potential energy using the equation that we know for earth U=mgh, and the uni...

A point charge q = 40.0 C moves from A to B separated by a distance d = 0.180 m in the presence of an external electric field E of magnitude 275 N/C directed toward the right as in t figure below....

Use the diagram of the rollercoaster below to answer the question. What happens to the potential energy of an object when it rolls downhill? a. Increases. b. Decreases.

Use the diagram of the rollercoaster below to answer the question. What happens to the potential energy of an object when it rolls uphill? a. Increases. b. Decreases.

Use the diagram of the rollercoaster below to answer the question. Where is potential energy highest?

Use the diagram of the rollercoaster below to answer the question. Where is PE the lowest? a. A. b. B. c. C. d. D.

Use the diagram of the rollercoaster below to answer the question. Where is PE the highest? a. A. b. B. c. C. d. D.

As shown, a block (mass = 1.50 kg) sits on an inclined plane (theta = 30 degrees) with coefficients of friction mu s = mu k = 0.400. A uniform force F of 15 N (parallel to the plane) pulls a massle...

A 0.5 kg ball is thrown vertically down from a 300 m tall building with an initial seed of 15 m/s. After the ball has traveled 7.0 m how much potential energy has been lost? a 22.03 J b. 34.3 J c...

Use the following image of a roller coaster cart on a frictionless track. At what point does the coaster cart have the most gravitational potential energy? 1. A 2. B 3. C 4. D 5. E

Find the potential energy of an arrangement with three particles with charges q=2\mu C and located at the points x_1 =0, x_2 =3andx_3 =5, where the positions are in meters.

Early one October, you go to a pumpkin patch to select your Halloween pumpkin. You lift the 3.5 kg pumpkin to a height of 1.5 m, then carry it 50.0 m (on level ground) to the check-out stand. Calcu...

A steel ball (m=0.025 kg) is shown at rest (v = 0) at the top of a ramp (h = 0.5 m). Before the ball begins to roll, how much potential energy, PE = mgh, does the ball possess?

Leaving the ISS in orbit, which is moving at 17,000 miles an hour, a 1.8*10^6 kg shuttle must drop from 100 miles above the Earth's surface to the ground. How much energy does it have to lose to ge...

A dock worker uses the ideal pulley system shown in the figure below to lift boxes from the dock onto a ship, a height of 20.0 m. Each box has a mass of 5.00 X 103 kg. How much work must be done to...

The figure shows part of a roller coaster ride seen from the side. The car enters a pool of water at R. It slows down and stops at S. Describe how the total energy of the system is conserved as the...

The figure shows part of a roller coaster ride seen from the side. Calculate the height h, shown in the figure below. (Given: Car's mass = 580 kg, gravitational field strength, g = 10 N/kg, and car...

The figure shows part of a roller coaster ride seen from the side. The roller coaster car rolls down towards P. The car has mass, m kg, and velocity v m/s. Which of these is the correct equation fo...

What is meant by potential energy? Give an example of an object or material that possesses potential energy.

Where is the minimum potential energy in this energy diagram? If the object is at rest at x position of 2.5 m, is it in equilibrium? If it is true, what kind of equilibrium?

A suitcase of mass, m = 2.15 kg, slides down an inclined plane of length, L = 7.08, m and height, h = 3.49 m, starting with zero initial velocity. At the bottom of the incline, the suitcase continu...

A small block of mass m slides to the left on a frictionless, horizontal surface with speed nu. Then, the block slides up a rough ramp that has an incline angle of alpha. The coefficient of kinetic...

A 4.7 kg block is pushed 3.6 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of theta = 30 degrees with the horizontal, as shown in the below figure....

An 11.0 kg stone slides down a snow covered hill, leaving point A with a speed of 12.0 m/s. There is no friction on the hill between points A and B, but there is friction on the level ground at the...

Two point charges 20 cm apart have electric potential energy of -150 mu J. The total charge is 27 nC. What are the two charges?

A man pulls a suitcase with a horizontal force, F, as shown in the figure below. Two other forces acting on the suitcase are labeled P and Q. The man lifts his suitcase. The increase in gravitation...

Tarzan (80.0 kg) stands at rest on a cliff that is 40.0 m tall, holding a long vine. He (purposefully) falls off the cliff and swings toward Jane (60.0 kg), who is standing at rest on a smaller cli...

Find the Minimum speed needed for an object to escape from the surface of a planet of Outer Space, given its mass M=9 times 10^{24} kg and radius R=7.2 times 10^6 m.

In the diagram below, a small block of mass m = 0.023 kg can slide along the frictionless loop the loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5.9 R...

In the figure below, a small block of mass m = 0.023 kg can slide along the frictionless loop the loop, with loop of radius R = 13 cm. The block is released from rest at point P, at height h = 5.9...

In the figure below, a small block of mass m = 0.023 kg can slide along the frictionless loop the loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5.9 R a...

An object with mass 8.6 kg moves from a location (24, 32, minus 33) m near the earth's surface to location (minus 34, 12, 40) m. What is the change in the potential energy of the system consisting...

Using Newton's law of gravity and the relationship between force and potential energy, the gravitational potential energy can be written as V=-Gm1m2/r. Use the masses of the electron and the proton...

The diagram below shows a section of the circuit that has four air filled capacitors. (This section is connected to a larger circuit.) The graph above the circuit shows the electric potential V plo...

Consider the arrangement of charges shown below. What is the electric potential energy of this system of charges?

The superheroine Xanax, who has a mass of 60.7 kg, is pursuing the 77.7 kg arch-villain Lexlax. She leaps from the ground to the top of a 177 m high building then dives off it and comes to rest at...

Explain the reason why the kinetic energy operator part of the Schrodinger equation is a derivative, whereas the potential energy operator part of the Schrodinger equation is simply 'multiplication...

What is the potential of a 10 kg sack of flour that is on the floor, measured with respect to the ceiling of the room, the ceiling is 3 m from the floor.

How much energy (in Joules) is required to move a 1050 kg object from the Earth's surface to an altitude twice the Earth's radius?

A block of weight 3.70 N sits on a plane inclined at an angle theta = 21 degrees, as shown below. The coefficient of kinetic friction between the plane and the block is 0.55. A force F is applied t...

A 2 kg mass is attached to a spring with k = 44 N/m. To what distance must the spring be stretched in order to store 0.5 J of potential energy? A) 15 cm. B) 0.568 cm. C) 2.27 cm. D) 7.54 cm

A 4.80 kg block is set into motion up an inclined plane with an initial speed of v1 = 7.40 m/s. The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of...

A frictionless roller coaster cart is moving at 6.7 m/s when it is 49.9 m above the ground. It coasts along the hilly track, at one point reaching a height of 17.2m above the ground. Find the cart'...

What does the given figure tells us about the attractive and repulsive forces in a hydrogen molecule?

A small asteroid that has a mass of 100 kg is moving at 200 m/s when it is 1550 km above the Moon. 1) How fast will the meteorite be traveling when it impacts the lunar surface if it is heading str...

A helicopter lifts a load of supplies through a vertical distance of 500 meters. What potential energy does the load acquire if its mass is 100 kilograms?

Are mathematical expressions for the following potential energies positive or negative? Explain why in each case. (a) The force of gravity between the Sun and Earth (b) A rock perched on the edge...

Are mathematical expressions for the following potential energies positive or negative? Explain why in each case. (a) The attraction between an electron and a helium nucleus (b) The repulsion bet...

A 500-gram mass drops from a height of 10.0 meters. What is its kinetic energy just before it hits the ground?

Calculate the electrostatic potential energy V between an electron and a proton if the electron is at a distance of 1 Bohr radius (0.529 Angstroms) from the proton. Be careful that the correct unit...

Jupiter has a mass approximately 300 times greater than Earth's and a radius about 11 times greater. How will the gravitational acceleration at the surface of Jupiter compare to that at the surface...

A small block of mass m = 35 g can slide along the frictionless loop the loop, with loop radius R = 39 cm. The block is released from rest at point P, at height h = 6.0 R above the bottom of the lo...

A 75.0 kg man climbs a staircase 7.00 m high. How much energy (in calories) does he expend?

A particle with charge q= 10^{-6}C starts at rest at a distance of 10cm from a fixed charge Q= 3\times 10^{-6}C . Find the kinetic energy of the charge q when it is very far away. Express your...

A 60.0 g ball is dropped 100 m from rest. How much potential energy is lost in the fall?

A 2.00 kg block is released from rest on a ramp that is inclined at an angle of 60.0 degrees below the horizontal. The initial position of the block is a vertical distance of 2.00 m above the botto...

A 5kg weight is pushed 4m up a ramp that creates a 10-degree angle with the horizontal. How much gravitational potential energy does the weight have?

A 435-kg satellite is launched into a circular orbit that has a period of 714 min and a radius of 20,900 km around Earth. A) Determine the gravitational potential energy U_orbit of the satellite's...

Two objects are connected by a light string passing over a light, frictionless pulley. The object of mass m1 = 7.00 kg is released from rest at a height h = 4.80 m above the table. Using the isola...

A shot-putter puts a shot (weight = 74.3 N) that leaves his hand at a distance of 1.89 m above the ground. (a) Find the work done by the gravitational force when the shot has risen to a height of 2...

An object is sliding down a frictionless incline at an angle of 46.2 degrees. Given the potential energy of object at the top of the incline of 8.84 Joules and the length of the base of the incline...

A square wire with a side length of 1 cm is in the x-y plane with a current of 2.25 A running counterclockwise as seen from above. A constant magnetic field of magnitude 0.85 T points in the positi...

A 163.51 kg rocket rises from 10.58 meters height to 403.12 meters height in 2.9 seconds. What is the change in the rocket's gravitational potential energy in Joules?

A satellite has a mass of 479 kg and is located at 2.05 times 10^6 m above the surface of Earth. (a) What is the potential energy associated with the satellite at this location? (b) What is the mag...

How far above the ground (in ft) does a 10.3 lb object have to be in order to have 577 foot pounds of gravitational potential energy?

Tarzan swings on a 32.0-m-long vine initially inclined at an angle of 39.0 degrees with the vertical. What is his speed at the bottom of the swing if he pushes off with a speed of 6.00 m/s?

A) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egypt pyramid, given its mass is about 8 x 10^9 kg and its center of mass is 34.0 m above th...

A 3.6-kg block is pushed 25 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of theta = 30 degrees with the horizontal. If the coefficient of kinetic...

At a carnival, you can try to ring a bell by striking a target with a 10.6-kg hammer. In response, a 0.375-kg metal piece is sent upward toward the bell, which is 5.46 m above. Suppose that 19.3 pe...

If you drop a 13.0-kg ball from a height of 30 m (neglect friction), how many joules of kinetic energy will it have when it is halfway through its fall?

If you drop a 13.0-kg ball from a height of 30 m (neglect friction), how many joules of potential energy does it have at the moment before dropping it?

A 3-kg projectile moves from its initial position to a point that is displaced 26 m horizontally and 22 m above position. What is the change in its gravitational potential energy?

How much work is done in raising a 12-kg backpack from the floor to a shelf 1.4 m above the floor?

A 3 kg mass is resting on a spring of k = 2000 N/m. If the spring is compressed by 25 cm and the mass is fired off it. a. How fast will the ball be travelling after it has moved 10 cm? b. How high...

A 305-kg satellite is launched into a circular orbit that has a period of 696 min and a radius of 19,500 km around Earth. Estimate the energy \Delta E required to place the satellite in orbit aroun...

A 305-kg satellite is launched into a circular orbit that has a period of 696 min and a radius of 19,500 km around Earth. Determine the gravitational potential energy U_{\textrm {orbit}} of the sat...

If a hammer (mass of 0.45kg) is 1.7m high on a shelf, how much potential energy does it have?

The potential energy of a system is described by the expression U = alpha x3 - beta x. At what values of x is this system in equilibrium?

The loop is placed halfway into a constant magnetic field B in the +z direction. Note, that many of the quantities below maybe 0. You may give directions in words (up, into the page, etc.) or with...

Which of the following is an example of potential energy? a) gasoline in the tank of an automobile b) the engine of an auto running c) a skier moving downhill d) pushing a desk across a room

A 62 kg woman cheats on her diet and eats a 660 Calorie (660 kcal) jelly doughnut for breakfast. How many stairs must the woman climb to perform an amount of mechanical work equivalent to the food...

An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.75 kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of p...

A helicopter lifts a 62 kg astronaut 14 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/14. How much work is done on the astronaut by (a) the force from the...

(a) Calculate the potential energy of a 10.0 kg mass on the surface of the Earth and at an altitude of 400 km, respectively. (b) Calculate the speed needed to move this mass from surface of the Ea...

A commonly used potential energy function to describe the interaction between two atoms is the Lennard-Jones 6, 12 potential (see the figure): U(r)= ((r0r)12-2(ror)6) Find the normal mode frequenci...

A commonly used potential energy function to describe the interaction between two atoms is the Lennard-Jones 6, 12 potential (see the figure): U(r)= [(r0r)12-2(ror)6] Show that the radius at the po...

A solid uniform 3.25 kg cylinder, 75.0 cm in diameter and 12.4 cm long, is connected to a 1.50 kg weight over two massless frictionless pulleys as shown in the figure below. The cylinder is free to...

A ping-pong ball with a mass of 5.0 g is dropped from a height of 2.0 m. The ball loses 20 percent of its kinetic energy with each bounce. How many bounces would it take for the ping-pong ball to l...

Two spheres have equal radius R=13.9 m. The mass of one sphere is m=842 kg and the other sphere is twice as massive or 2 m. Their centers are separated a distance 8R. The spheres are released from...

An ice block of mass 5.0 kg slides down a rough surface of a ramp with an angle \theta = 48 degrees while an ice worker pulls on the block by a rope of a force \vec(F)_(r) = 45 N and is directed up...

If the mass of an object is 15 LBm and it is 10 ft off the ground, what is the potential energy in \dfrac{ft}{LBf}?

A ball of mass 100 g, is dropped from a height of 22 m and moving vertically down. Ignoring the air resistance, calculate the total energy of the ball just before it strikes the ground. a. 216 J. b...

A block of mass m = 5.70 kg is released from rest from point circled A and slides on the frictionless track shown in the figure below. (Assume ha = 5.40 m.) Determine the net work done by the gravi...

In the figure below, point P is at a distance d1 = 5.25 m from particle 1 (q1 = -6e) and distance d2 = 3.08 m from particle 2 (q2 = +6e), with both particles fixed in place. What is the potential e...

Rank the following positions of the roller coaster on the right from least (Rank 1) to greatest (Rank 4) Potential Energy.

A small block of mass m = 0.029 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5R above the bottom of the l...

Two snow-covered peaks are at elevations of 850 and 750 m above the valley between them. Both elevations have an incline of 30 degrees. A ski-run extends from the top of the higher peak to the top...

In the figure, a particle of charge q2 = +7e is brought along the dashed line from infinity to the indicated point near two fixed particles of charges q1 = +2e and q3 = minus q1. What is the ratio...

The superheroine Xanaxa, who has a mass of 60.7 kg, is pursuing the 78.5 kg archvillain Lexlax. She leaps from the ground to the top of a 181 m high building then dives off it and comes to rest at...

What is the potential energy in Joules (J) due to gravity of a 81 kg boulder resting on the edge of a cliff which is 103 m above sea level? Note: Use sea level as 'zero' height.

Calculate the height that a 2500 kg airplane is flying if it has 9.8*10^7 J of gravitational energy.

A force of 570 N keeps a certain ideal spring stretched a distance of 0.300 m. What is the potential energy of the spring when it is stretched 0.300 m?

A satellite in a circular orbit 1000 km above Earth s surface has total mechanical energy U = -1.8 GJ. Find the kinetic energy.

An object is sliding down a frictionless incline of an angle of 47.3 degrees. Given the potential energy of the object at the top of the incline is 8.67 Joules and the length of the base of the inc...

A double-well potential ranges from x = 0 to x = 2 L and has a thin (width = 0.01 L) rectangular barrier of finite height centred at L. a) Sketch the wavefunction that goes with the fourth energy l...

A small asteroid that has a mass of 1.00 times 10^2 kg is moving at 4.00 times 10^2 m/s when it is 1.00 times 10^3 km above the Moon. The radius of the Moon is 1.74 times 10^6 m. (a) At what speed...

A student lifts a 1.26-kg book from her desk to a bookshelf. If the gravitational potential energy of the Book-Earth system increases by 9.10 J, how high is the bookshelf above the desk?

Two electrons are 6.92 m apart. Another electron is shot from infinity and conies to rest midway between the two. What must its initial velocity be (in meters/second)?

A shot-putter puts a shot (weight = 74.9 N) that leaves his hand at a distance of 1.54 m above the ground. (a) Find the work done by the gravitational force when the shot has risen to a height of 2...

The lowest point in Death Valley is 85 m below sea level. The summit of nearby Mt. Whitney has an elevation of 4420 m above sea level. What is the change in potential energy of an energetic 70 kg h...

A person hits a ball with mass 0.140 kg straight upward with an initial speed of 290 m/s. (a) Calculate work done by gravity on the ball when it reaches a height of 30.0 m. (b) Calculate the speed...

A man drags a 60-kg lump of flour 8 meters across the floor with a force of 30 N and then lifts it onto a truck 70 cm above the ground. a) Calculate the work done by the man. b) What is the power d...

A wire is formed into a circle having a diameter of 20.0 cm and placed in a uniform magnetic field of 2.80 mT. The wire carries a current of 5.00 A. a) Find the maximum torque on the wire. Answer s...

The coil in the figure carries a current I = 2.28 A in the direction indicated, is parallel to an XZ plane, has 3 turns and an area of 3.23 x 10-3 m2, and lies in a uniform magnetic field B = (1.73...

A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (a) What is the gravitational potential energy relative to the generators of a...

The potential energy is considered a conservative force, Select one. False True

A small block of mass m = 46 g can slide along the frictionless loop-the-loop, with loop radius R = 32 cm. The block is released from rest at point P, at height h = 6.0R above the bottom of the loo...

A piece of chocolate cake contains about 400 Calories. A nutritional Calorie is equal to 1000 calories (thermochemical calories), which is equal to 4.184 kJ. How many 9-inch-high steps must a 180-p...

A 41 kg person drinks 440.0 g of milk, which has a "caloric" value of approximately 3.0 kJ/g. If only 17% of the energy in milk is converted to mechanical work, how high (in meters) can the person...

How much metabolic energy must a bird of mass 200 g expend to fly to a height of 20 m ? neglect all losses due to friction, physiological imperfection, and the acquisition of kinetic energy.

Calculate the work required to empty the water tank pictured below by a spout at the level of its top. Assume that the height of the tank is 6 meters, and the top is a circle with a 4 meter radius.

As shown in the figure below, You need to arrange three point charges at the corners of a square of side l. You bring these charges from infinity, where potential V = 0. Next, you bring charge Q2,...

You need to arrange three-point charges at the corners of a square of side l as shown in the figure. You bring these charges from infinity, where potential V = 0. First, you bring charge Q1, to the...

The average person generates about 2500 Kcal of heat a day. How many kilowatt-hours of energy is this? If walking briskly dissipates energy at 500 W, what fraction of the day's energy does walking...

The bicyclist is stopped at the entrance to a valley, as sketched below. Would the bicyclist's potential energy be higher at B or C?

The bicyclist is stopped at the entrance to a valley, as sketched below. Where would the bicyclist have the lowest potential energy?

The bicyclist is stopped at the entrance to a valley, as sketched below. Where would the bicyclist have the highest potential energy?

A roller coaster of mass of 1000kg sits at the top of a 70.0m tall hill (point A) I. It has zero speed at that point. It then travels a distance d = 300.0m along a track to reach a point that is 5....

The figure shows a thin rod, of length L = 1.70 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 12.0 kg is attached to the other end. Th...

As shown in the figure a thin rod, of length L = 1.70 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 12.0 kg is attached to the other e...

A spring with k = 200 N/m is at the base of a frictionless incline. A 0.50 kg block is pressed against the spring, compressing it 0.10 m from its equilibrium position. The block is then released. H...

Why does the solvation energy of a large hydrophobic solute (much bigger than a single water molecule) depend on the solvated surface area and not on the volume of the molecule?

A projectile is shot straight up from the Earth's surface at a speed of 9640 km/hr. How high does it go?

You and your friend (same masses) want to go to the top of the Eiffel Tower. Your friend takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare t...

An object is sliding down a frictionless incline of angle 51 degrees. Given the potential energy of object at the top of the incline of 7.78 Joules and the length of the base of the incline of 3.34...

An object experiences a potential energy given by U (x) = A x^3 - B x where A = 0.8 J/m^3, and B = 3 J/m A. Calculate the work done on this object traveling from x = 1 m to x = 3 m. B. Derive an ex...

The work required to bring two equal negative charges -Q from infinity to a distance of a from one another is found to be W. What is the work required to bring two charges -Q and one change +Q from...

A sample of 0.25 moles of an ideal gas expands from 72 milliliters to 10 liters. If the gas expands isothermally in a reversible manner at 19 degrees Celsius, calculate the work involved.

Consider a simple pendulum (an inelastic, massless cord connected to a ball) swinging back and forth. If at the lowest point of the swing, the ball has a speed of 20 m/s, what is the maximum height...

A chair lift did 5.60 times 10^5 J of work on a 64 kg skier to carry her to the top of the mountain. How high is the top of the mountain relative to the base of the lift?

While a child is swinging on a playground swing, she reaches a height of 2.8 m above the ground. If she had 604 J of gravitational potential energy relative to the ground at the highest point, what...

Two skiers, with masses of 72 kg and 58 kg, are at the top of a ski hill. The altitude at the top of the hill is 3782 m, and the altitude at the ski lodge below is 2926 m. How much more GPE, relati...

A 3.0 times 10^(-4) kg flea can jump to a certain height. It has a potential energy of 2.21 times 10^(-3) J at the top of its jump. How high is this jump?

A 580 kg satellite circles at an altitude above the surface of the Earth. If its potential energy is 6.83 times 10^3 J, at what distance is it circling the Earth?

A falcon has gained an altitude of 875 m and has a potential energy of 1.03 times 10^4 J. What is the falcon's weight? What is the falcon's mass?

For a 100 kg satellite orbiting Earth in a circular orbit of radius 6500 km, determine the following: Part A) Its kinetic energy, K. Part B) Its potential energy, U (U = 0 at infinity). Part C) The...

Consider a meteorite of mass 750 kg that is traveling at 100 m/s when 950 km above the Earth. The meteorite falls vertically downward (ignore air resistance). Part A) What is the speed of the meteo...

You drop a ball from a height of 4.0 m and it bounces back to a height of 1.5 m. Part A) What percentage of its initial energy is lost during the bounce? Use '%' as your units. Part B) What is the...

An object attached to a spring (k = 125 N/m) will oscillate with a period of 0.889 seconds. What is the mass of the object? a. 2.50 kg b. 5.00 kg c. 15.7 kg d. 7.86 kg

A particle of mass m moves in one dimension under the influence of a conservative force: F(x, t) = k / x^3 e^-a t a_x where k and a are positive constants. Find the potential energy of the particle.

(A) Draw a potential energy diagram for the reaction between 1-butanol and hydrobromic acid. On your diagram indicate the structures of key reaction intermediates that correspond to energy maxima a...

A capacitor has a charge of 5.5 μC when connected to a 10-V battery. How much energy (in μJ) is stored in this capacitor?

A small asteroid that has a mass of 1.00 times 10^2 kg is moving at 4.00 times 10^2 m/s when it is 1.00 times 10^3 km above the Moon, The radius of the Moon is 1.74 times 10^6 m. a. At what speed v...

A 3.00 g bullet is fired horizontally into a 1.50 kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.30. The bullet remains embedded...

In a spring-loaded gun, a ball is launched horizontally by compressing a horizontal spring with the ball and releasing it. If the spring constant of the spring is 340 N/m, the ball compresses the s...

(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 9 times 10^9 kg and its center of mass is...

A 28.0 kg child plays on a swing having support ropes that are 2.40 m long. A friend pulls her back until the ropes are at an angle phi = 39.0 degrees from the vertical and releases her from rest....

Make a graph of potential energy versus angle of bond rotation for propane, and assign values to the energy maxima.

Draw a potential-energy diagram for a molecule such as Cl2. Indicate the bond length (194 pm) and the bond dissociation energy (240 kJ/mol).

How much energy is stored by the electric field between two square plates, 80 mm on a side, separated by a 1.3 mm air gap? The charges on the plates are equal and opposite and of magnitude 420 mu C.

A 0.00542-kg bullet is fired straight up at a falling wooden block that has a mass of 4.99 kg. The bullet has a speed of 867 m/s when it strikes the block. The block originally was dropped from res...

A ball and a block, both of mass m, are released from the top of an inclined plane. At the top of the incline, the potential energy of the ball and block are identical. a. True. b. False.

Two rocks are held at the top of a building and released. If the mass of rock one is smaller than the mass of rock two, then the potential energy of rock one is smaller than the potential energy of...

An electric winch with a power rating of 480 W is used to lift a 100 kg object for 20 seconds. Determine the final height of the object, in meters. Assume 100% efficiency.

Newton's Law of Gravitation states that two bodies with masses m_1 and m_2 attract each other with a force F, where is the distance between the bodies and G is the gravitational constant. F=G\frac{...

A roller coaster (418 kg) moves from A (5.20 m above the ground) to B (27.8 m above the ground). Two non-conservative forces are present: friction does - 2.44 times 10^4 J of work on the car, and a...

A small asteroid that has a mass of 100 kg is moving at 200 m/s when it is 1,770 km above the Moon. 1) How fast will the meteorite be traveling when it impacts the lunar surface if it is heading st...

A particle is acted on by a conservative force, vector F = (-A x + B x^6) i N, where A and B are constants, and x is in meters. (For your answers, use the following as necessary: A, B, and x.) (a)...

Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance. The driver lets the car coast farther...

The chin-up is one exercise that can be used to strengthen the biceps muscle. This muscle can exert a force of approximately 800 N as it contracts a distance of 7.8 cm in a 73 kg male. How much wor...

You are loading a refrigerator weighing 2,377 N onto a truck, using a wheeled cart. The refrigerator is raised 1.05 m to the truck bed when it is rolled up a ramp. (Assume that there is no friction...

A particle of mass m moves along a curve given by y = - ln(x). At any time, t, discuss the following point of the system: Potential energy.

Jess Engineering Consultants Ltd is designing a mine hoist for the Dark mining project. Given the hoist must be capable of lifting a total mass of 30 tonnes from a depth of 1,400 m to surface in 20...

A 1.6-kg ball is attached to the end of a string (0.40 m) to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving hor...

A capacitor is charged until its stored energy is 6.12 J. A second capacitor is then connected to it in parallel. If the charge distributes equally, what is the total energy stored in the electric...

The maximum mass allowed for a bowling ball in ten-pin bowling is 16 lb. The average speed of the ball, when released during a game, is between about 17 to 19 mph. Imagine that a 16.0-lb bowling ba...

True or False: Potential energy is proportional to an object's mass and inversely proportional to its height from the ground.

A 4.7 g marble is fired vertically upward using a spring gun. The spring must be compressed 9.8 cm if the marble is to just reach a target 18 m above the marble's position on the compressed spring...

Jonathan is riding a bicycle and encounters a hill of height 9.20 meters. At the base of the hill, he is traveling at 8.00 m/s. When he reaches the top of the hill, he is traveling at 3.00 m/s. Jon...

A 90 kg mass with a heat capacity of 100 kJ/kg-K is dropped from 40,000 m. What is the temperature change of the mass immediately after it hits the ground?

Starting from rest, a 4.1-kg block slides 2.40 m down a rough 30-degree incline. The coefficient of friction between the block and the incline is 0.436. Determine the work done by the force of grav...

A 650 kg satellite is to be placed into synchronous orbit around Earth. a. Calculate the gravitational potential energy of the satellite on Earth's surface. b. Calculate the total energy of the s...

A spring with a spring constant of 40 N/m is suspended from the ceiling with a 2.0 kg wood block hanging from the bottom. When a 10 g bullet is fired vertically upward into the block, stopping insi...

A 0.5-kg object is suspended from a massless spring whose constant is 500 N/m. Let the zero of gravitational potential energy be at the end of the spring where the object is attached. If the 0.5-kg...

A 0.500-kg object is suspended from a massless spring whose constant is 500 N/m. Let the zero of gravitational potential energy be at the end of the spring where the object is attached. If the 0.50...

A 61.5-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.48 \times 10^3\ \rm{N/m}....

If I used 460 joules of energy to lift a 2.6 kg bucket of water out a well, how high did I have to raise the bucket?

The awe-inspiring Great Pyramid of Cheops was built more than 4500 years ago. Its square base, originally 230 m on a side, covered 13.1 acres, and it was 146 m high, with a mass of about 7x10^9 kg....

The desperate contestants on a TV survival show are very hungry. The only food they can see is some fruit hanging on a branch high in a tree. Fortunately, they have a spring they can use to launch...

Suppose the potential energy function for two particles is given by: U ( x ) = k times (m1times m)2 per x Where k is a constant and x represents the particle separation. Write the force between th...

A diver of mass 50-kg jumps from a cliff at 5.00m/s upward at an angle of 30 degrees as measured from the horizontal surface of the cliff. The cliff is 20 m above the surface of a body of water. (F...

If you jump off a 3 meter high diving board and do a cannonball into the pool, what happened? \\ A. The water will get colder. B. The temperature of the water will increase by your mass times the...

A magnet of mass 0.10 kg is dropped from rest and falls vertically through a 35.0 cm copper tube. Eddy currents are induced, causing the copper to warm up. The speed of the magnet as it emerges fro...

A 3.00 kg object is located 9.00 m above the ground. What is its gravitational potential energy?

Describe a system in which elastic potential energy is stored.

The potential energy of an object in the gravitational field of the earth is Ep = mgh. What must be the SI unit of g if this equation is to be consistent with the SI unit of energy for Ep?

A block of a mass of 50 g is connected to two springs. The force constant of one spring is three times greater than that of the other spring. The block oscillates over a frictionless surface with a...

Identical point charges (+46 mu C) are placed at the corners of an equilateral triangle with sides of a = 2.0 m length. How much work is required by the field to bring a charge of -15 mu C from inf...

A ball is dropped from a height of 100 feet. One second later, another ball is dropped from a height of 75 feet. Which ball hits the ground first?

(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 5 times 10^9 kg and its center of mass is 22.0 m...

To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?

How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?

How many joules of energy (work) are required to raise a mass of 2,500 kg by a height of 5 meters against gravity at the surface of the earth?

A 2.5-kg stone is released from rest and falls toward Earth. After 4.0 s, the force effect on the Earth during this time: a. 49 N. b. 98 N. c. 12.25 N. d. 24.5 N.

A particle P of mass m is free to move inside a sphere with center O and radius r. The particle starts from the lowest point, directly below O, with a speed v. As long as the particle stays on the...

A service elevator is used to transport packets of cement in a worksite. The loaded elevator has a mass of 5024.5 kg and moves 85.0 m up in 17.4 s at a constant speed. At what average rate does the...

Consider a 200 kg satellite orbiting Earth in a circular orbit of radius 6500 km. What is the total mechanical energy of the satellite?

How much energy is required to move a 1075 kg object from the Earth's surface to an altitude three times the Earth's radius?

Determine the electric potential energy (in mJ) for the system of three charges in the figure.

A service elevator is used to transport packets of cement to a worksite. The loaded elevator has a mass of 8777.7 kg and moves 119.1 m up in 9.2 s at a constant speed. At what average rate does the...

The pump in a water tower lifts water with a density of rho_W = 1.0 kg/liter from a filtered pool at the bottom of the tower up h_T = 23 m to the top of the tower. The water begins at rest in pol a...

Answer true or false: In order to attain stability, bodies try to minimize their potential energy.

What is the increase in gravitational potential energy of an object of mass 30.5 kg when it is raised from a height of 300 m to a height of 306 m at a constant speed, in units of joules?

When an elastic body bounces up, its \\ Select one: \\ a) gravitational potential energy changes to kinetic energy b) kinetic energy increases c) elastic potential energy increases d) kinetic...

In order to attain stability, an object always proceeds in the direction that increases the potential energy of the object. (a) True (b) False.

What is the potential energy of a 62 kg person in a skyscraper that is 227 m above the street?

What is the potential energy of a 63 kg person in a skyscraper if he is 482 m above the street?

What is the potential energy of a 62 kg person in a skyscraper if he is 462 m above the street?

During a lightning discharge, 30 C of charge moves through a potential difference of 1.0 times 10^8 V in 2.0 times 10^{-2} s. The potential energy released by this lightning discharge is _____. a....

A body possessing potential energy but not kinetic energy might easily be \\a. at rest. \\b. revolving around the Earth. \\c. falling freely. \\d. accelerating. \\e. in motion.

Nitric oxide (NO) is a paramagnetic compound. The magnetic moment of each NO molecule has a maximum component in any direction of about one Bohr magnetron. Compare the interaction energy of such ma...

Two 0.56 kg basketballs, each with a radius of 20 cm, are just touching. \\ A. How much energy is required to change the separation between the centers of the basketballs to 1.4 m? \\ B. How much...

A particle of mass m = 1.0 kg moves along the x-axis through a region in which its potential energy U(x) varies as shown in the Figure. When the particle is at x = 9.5 m, its velocity is 5.148 m/s...

As a mass is displaced parallel to the surface of the Earth, its gravitational potential energy (a) decreases (b) increases (c) remains the same

A book of mass 0.328 kg is raised from the ground to a height of 1.91 m. What is the gravitational potential energy of the book relative to the ground, in units of joules?

A ball falls from rest straight down at a distance of 5 meters, what is its final speed when it reaches the ground (m/s)? Select one: a. 98.1. b. 99. c. 9.9. d. zero.

A venturesome woman plans to bungee jump from a cliff 66.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 13.0 m above t...

An object has a gravitational potential energy U when it is at a height of h above the ground. What is its gravitational potential energy when it is at a height of 2h above the ground? a. 4 U. b. U...

An object has a gravitational potential energy U when it is at a height of h above the ground. What is its gravitational potential energy when it is at a height of 2h above the ground?

A 2.00E+4 kg satellite is orbiting Earth. It has a potential gravitational energy of 1.11E+12 J. Find the altitude of the satellite above the surface of the Earth.

A weightlifter lifts a set of 50 kg weights to a height of 3.5 m. Assume that she lifts them at a constant speed. a) How much work does gravity do when she lifts the weights? b) How much work does...

In order to attain stability, an object always proceeds in the direction that: a) reduces kinetic energy b) increases kinetic energy c) reduces potential energy d) increases potential energy

A ball held at a height has gravitational potential energy. A. True B. False

A 90 kg mountain climber falls from the top of a 200 m cliff. If their safety rope is 30 m long, what kinetic energy will they reach before the rope stops their fall?

State true or false: The nucleon-nucleon central potential is similar to the gravitational potential, which has a repulsive core and attractive tail, but is much stronger.

A construction worker is standing on a platform suspended from the roof of a building to repair some bricks. The platform and worker have a combined mass of 355 kg. The worker raises the platform f...

A horizontal spring-mass system has low friction, spring stiffness 190 N/m, and mass 0.2 kg. The system is released with an initial compression of the spring of 10 cm and an initial speed of the ma...

400 J of fuel is used to launch a 0.1-kg model rocket. What is the highest height it can reach? (a) 9.81 m, (b) 100 m, (c) 200 m, (d) 400 m

A satellite is orbiting the Earth at a distance of 3.05 RE and with a speed of 4.09 km/s. With what speed would the satellite hit the Earth's surface if somehow it suddenly stopped and fell to Eart...

If a 0.15 kg ball is dropped from 1.6 m and rebounds to a height of 1.0 m, how much (in Joules) of the original potential energy of the ball-earth system was transformed into thermal energy?

If the ball is dropped from 0.85 m and returns to a height of 0.62 m, what fraction of the original energy was transformed to thermal energy? (a) 0.73 or 73 percentage (b) 0.58 or 58 percentage (c)...

A child's toy car runs off a battery that can supply 105 Wh of energy. If all losses (including friction) consume 70.0% of the energy available and the rider and car have a combined weight of 360 N...

An alpha particle of (q = +2e') in a nuclear accelerator moves from one terminal at potential of + 6.5 times 10^5 V to another potential V_b = 0. (a) What is the corresponding change of potential e...

(a) What is the escape speed on a spherical asteroid whose radius is 933 km and whose gravitational acceleration at the surface is 1.41 m/s^2? (b) How far from the surface will a particle go if it...

Two neutron stars are separated by a distance of 1.0 * 10^12 m. They each have a mass of 1.0 * 10^32 kg and a radius of 1.0 * 10^6 m. They are initially at rest with respect to each other. As measu...

A 20-kg object is resting at the top of a table 1.6 m above ground level. The object is then picked up and moved to a height of 8.7 m above ground level. What is the change in the gravitational pot...

Estimate the energy required from fuel to launch a 1500 kg satellite into orbit 1360 km above the Earth's surface. (a) Consider the case when the satellite is launched into an equatorial orbit from...

An object of mass m is at the top of a frictionless incline. The object starts at a height H above the bottom of the incline and is pushed with an initial speed v_0, down the incline. The object em...

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 \times 10^{10} \; m (inside the orbit of Mercury), at which point its speed is 8.9 \times 10^4...

Two Earth satellites, A and B, each of mass m = 980 kg, are launched into circular orbits around the Earth's center. Satellite A orbits at an altitude of 4300 km, and satellite B orbits at an altit...

A 500.0-kg cow is standing at the top of a muddy hill on a rainy day. The hill is 100.0 m long with a vertical drop of 30.0 m. The cow slips and begins to slide down the hill. What is the cow's spe...

Relative to the floor, what potential energy does a 2.5-kg package have that sits on a shelf 2.2 m high?

A 28-kg child on a swing is traveling at 4.2 m/s and has 315 J of total mechanical energy. What is his gravitational potential energy? How high is he above the ground?

The potential energy of a 40-kg cannonball is 14000 J. How high was the cannon ball to have this much potential energy?

If you stand on the surface of the Earth and shoot a bullet straight up into the sky at v_i = 2,500 m/s, then how far up (measured from the Earth's surface) will the bullet go before falling back t...

A stone is held at a height of h above the ground. A second stone with twice the mass of the first one is held at the height of h/2. The gravitational potential energy of the second stone compared...

(A) What is the electric potential that the electron feels in a hydrogen atom? (B) What is the potential energy of the electron at this point? Hint: phi = kqp/r, U = qe * phi. Use for r the radius...

A 75 kg mountain climber has an average power output of 0.18 hp. (a) How much work does she perform in climbing a mountain 2500 m high? (b) How long does it take to climb the mountain? (c) What is...

A 670 g block is released from rest at height h_0 above a vertical spring with spring constant k = 420 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressin...

A space vehicle is launched vertically upward from the Earth's surface with an initial speed of 8.10 km/s, which Is less than the escape speed of 11.2 km/s. What maximum height does it attain?

A thin rod whose length is 60 inches whose mass is 2 kg pivoted at one end and can rotate in a vertical circle. The rod is pulled aside through an angle theta = 30 degrees. a. What will be its grav...

A 220 g rubber ball is dropped from height 4.24 m, hits the ground, and rebounds upward. If during the interaction with the ground it loses 1/6.48 of its energy, how high will the ball rise, in m,...

A 65 kg hiker starts at an elevation of 1500 m and climbs to the top of a 2600 m peak. a) What is the hiker's change in potential energy? b) What is the minimum work required of the hiker? c) Consi...

You forget to deploy the emergency brake when parking your car on a steep hill with icy pavement. Ignore friction between the car's tires and the pavement. Before you can get out, the car starts to...

A 0.425 kg can of beans sits on a 2.25 m high shelf. What is its gravitational potential energy?

A 16-kg block rests on a frictionless table and is accelerated by a spring (spring constant = 5072 N/m) after being compressed a distance 0.568 m from the spring's unstretched length. The floor is...

Determine whether the statement is true or false. Briefly explain why. The potential energy for a two-object system is plotted as a function of their separation. The force between the objects is st...

In order better to map the surface features of the Moon, a 379 kg imaging satellite is put into circular orbit around the Moon at an altitude of 103 km. Calculate the satellite's kinetic energy, g...

Suppose you climb the stairs of an eight-story building, about 24 m high, and your mass is 70 kg. The gravitational potential energy you gain is about _______. (a) 16,500 calories (b) 40 calories (...

A toy gun is loaded with a suction-cup dart of mass 25.0 g, compressing a spring by 4.50 cm. The spring has a stiffness of 275 N/m.(A) How much energy is initially stored in the spring? (B) When t...

The potential energy at a function of position is U(x,y) = ax^3y-bx. What is the force (vector) as a function of position?

What is internal potential energy?. a. Stored energy that you cannot see with the naked eye (a.k.a. microscopic). b. Stored energy that you can see with the naked eye (a.k.a. microscopic). c. All f...

The potential energy of a molecule can be found in: A. its location relative to the ground B. its bonds C. its speed D. both A and B E. none of above

A spring has a natural length of 0.1250 m and a spring constant of 2550 N/m. How much potential energy will the spring have if it is compressed to a length of 0.1125 m?

A + 6.0 nC charge is located at the origin and a -2.00 nC charge is at (-4.00 cm, 0.00 cm) a) Draw the configuration. b) What is the electric potential at the point (x,y)= ( -4.00 cm,6.00 cm)?

Instead, the spring has only compressed a distance x_2 = 0.111 m before being released. How far into the rough path does the block slide before coming to rest?

Two aqueous solutions are both at room temperature and are then mixed in a coffee cup calorimeter. The reaction causes the temperature of the resulting solution to rise above room temperature. Whi...

A carpenter swings a 5.2-kg hammer so that its speed is 8.1 m/s just before it strikes a nail. Assuming that a constant force of 2,952.6 N resisted the motion of the nail, what is the distance (in...

A Plummer sphere is a crude model for star clusters and round galaxies with a gravitational potential at a distance r given by Phi (r) = -GM (r^2+a_p^2)^{-1/2}. Find the total mass as a function o...

A Plummer sphere is a crude model for star clusters and round galaxies with a gravitational potential at a distance r given by phi (r) = -GM (r^2+a_p^2)^{-1/2}. Find the density rho_p(r).

Consider a body of mass m moving with a speed v in the vicinity of a large mass me (mass of the earth). Assuming me is at rest, determine a) the kinetic energy of the two body system b) the potenti...

Three equal point charges, each with charge 2.00 mu C, are placed at the vertices of an equilateral triangle whose sides are of length 0.650 m. What is the electric potential energy U of the system?

Calculate the rest mass energies of a) the proton, b) an electron, c) a neutral H^1 atom.

A uniform electric field has a magnitude 240 N/C and is directed to the right A particle with charge +4.90 nC moves in this field along a straight line from a to b. Find the change in the particle'...

A 4.90-kg block, starting from rest, slides down a frictionless incline of length 1.70 m. When it arrives at the bottom of the incline, its speed is v_f. At what distance from the top of the inclin...

Which of the following is not an example of potential energy? a. The energy stored in a pile driver. b. The energy stored in a stretched spring. c. The energy of a body moving across a horizontal s...

Which of the following is being described by the statement: Stored energy? a. Energy b. Work c. Kinetic energy d. Potential energy e. Conservation of energy f. Power g. Weightless h. Law of Univer...

By how much does the gravitational potential energy of a 57-kg pole vaulter change if her center of mass rises about 4.0 m during the jump? Express your answer to two significant figures and includ...

Pilings are driven into the ground at a building site by dropping a 2150 kg object onto them. What change in gravitational potential energy does the object undergo if it is released from rest 16.0...

A baseball player throws a ball at a nearby boulder. The ball hits the boulder with a speed of 35 m/s and then bounces straight up to a height of 21 m above the boulder. Assuming that the rotationa...

A wrecking ball of mass 190 kg strikes a concrete pile from a vertical height of 5 m. Determine the velocity that it strikes the pile with, and the energy released if it reaches a height of 2 m aft...

A small conducting sphere (radius = 50.0 cm) contains a charge of +8.0 muC. What is the potential energy of a charge of +3.0 muC at r = 84.0 cm?

Two blocks are connected together by a light, inextensible cord of length 25 cm, which passes through an ideal frictionless pulley. The bottom of block B is 10 cm above the floor at the instant blo...

A crate with a mass of 100kg is lifted onto a loading dock 2m above ground level. How much potential energy has been gained?

A boy observes a cricket ball move up and down past a window 2 m high. If the total time the ball is in sight is 1.0 s, find the height above the window that the ball rises.

The potential energy of an apple is 4.5 joules. The apple is 3.2 meters high. What is the mass of the apple?

Mechanical equivalent of heat You attempt to boil water by shaking it in an (insulated) thermos. Assume you have 500 cm^3 of water at an initial temperature of 30^\circ C. The waterfalls 30 cm eac...

A 1.0-kg ball falls to the floor. When it is 0.70 m above the floor, its potential energy exactly equals its kinetic energy. How fast is it moving at that moment? a) 3.7 m/s. b) 45 m/s. c) 14 m/s....

How much work does it take to lift a 180 kg weight 3/2 m ?

How do you calculate the potential energy of a 0.1 kg bird sitting on a tree limb 5 meters off the ground?

a) Calculate the gravitational potential energy __U__ of this system. Take the potential energy to be zero when the two objects are far apart. b) Show that the answer to (a) reduces to the expected...

Considering the potential energy of the interacting particles, how does covalent bonding lower the energy of a system?

A pendulum bob with a mass of 0.32 kg is attached to a 1.5 m long string as shown. As the pendulum bob swings from point A, where the angle theta = 39 degrees, to point B at the bottom of its arc,...

Two positive charges each of charge q are fixed on the y-axis, one at y = d and the other at y = -d as in Figure. A third positive charge 2q located on the x-axis at x = 2d is released from rest. F...

Energy that an object has by virtue of its position is called ______. a. heat. b. kinetic energy. c. thermal energy. d. mechanical energy. e. potential energy.

A 4 kg block is attached to a spring that stretches vertically a distance (Delta x) of 20 cm to its new equilibrium position. What is the maximum energy of the system if the spring is stretched ano...

In a nuclear physics experiment, a proton (mass 1.67 x 10^(-27) kg, charge +e = +1.60 x 10^(-19) C) is fired directly at a target nucleus of unknown charge. (You can treat both objects as point cha...

A 1.90 m tall person lifts a 1.25 kg book off the ground so it is 2.30 m above the ground. a) What is the potential energy of the book relative to the ground? b) What is the potential energy of th...

If your gravitational potential energy in your classroom located on the first floor is zero, on the second floor your gravitational potential energy is _________. (a) zero (b) less than zero (c) th...

Define equipotential surfaces.

Derive an expression for the elastic potential energy of wire under stress.

A 0.29 kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 4.5 m. (a) Relative to the configuration with the stone at the top edge of the wel...

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