# A solid, homogeneous sphere with a mass of m_0, a radius of r_0, and a density of rho_0 is placed...

## Question:

A solid, homogeneous sphere with a mass of {eq}m_0 {/eq}, a radius of {eq}r_0 {/eq}, and a density of {eq}\rho_0 {/eq} is placed in a container of water. Initially, the sphere floats, and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters?

a. The new sphere has a mass of {eq}m = m_0 {/eq} and a density of {eq}\rho < \rho_0 {/eq}.

b. The new sphere has a radius of {eq}r > r_0 {/eq} and a density of {eq}\rho = \rho_0 {/eq}.

c. The new sphere has a mass of {eq}m > m_0 {/eq} and a density of {eq}\rho = \rho_0 {/eq}.

## Archimedes' Principle:

According to Archimedes' principle, an object submerged in a particular liquid experiences an upward force proportional to the weight of the liquid that has been displaced. The floating of ships and heavy icebergs are based on this phenomenon.

## Answer and Explanation: 1

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View this answer**Given data:**

- The mass of the original sphere is {eq}{m_0}. {/eq}

- The radius of the original sphere is {eq}{r_0}. {/eq}

- The density of the original...

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Chapter 5 / Lesson 10The net force is the difference between two forces that are acting on an object. Understand the definition of net force in relation to forces and vectors, explore how to calculate net force, and examine how net force changes the state of motion and body-free diagrams.

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