An 800 kg car traveling in a straight line at a speed of 30 m/s applies its brakes. During...

Question:

An 800 kg car traveling in a straight line at a speed of 30 m/s applies its brakes. During braking there is a net force of 2000 N in the horizontal direction on the car.

What distance will the car move from the time it applies its brakes until it has stopped?

Equations of Motion:

Newton gave three equations of motion for a moving object which shows the relation between acceleration, initial and final velocities, time and the distance traveled by the object.

1. The first equation of motion shows the relation between the initial velocity (u), final velocity (v), acceleration (a) and the time (t). $$\boxed{v=u+at} $$

2. The second equation of motion shows the relation between the initial velocity (u), distance traveled (s), acceleration (a) and the time (t).

$$\boxed{s=ut+\frac{1}{2}{at^2}} $$

3. The third equation of motion shows the relation between the initial velocity (u), final velocity (v), acceleration (a) and the distance traveled (s).

$$\boxed{v^2=u^2+2as} $$

Answer and Explanation: 1

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Given:

  • The initial velocity of the car {eq}u=30 \ \text{m/s} {/eq}.
  • The mass of the car {eq}m=800 \ \text{kg} {/eq}
  • The force due to brakes...

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What is Kinematics? - Studying the Motion of Objects

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Chapter 3 / Lesson 1
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Kinematics is a branch of classical mechanics that is concerned with the study of the motion of objects or systems, without considering the forces involved or the causes of the motion. Explore the languages of science, learn about the definition of kinematics, and be able to tell what factors are considered under kinematics.


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