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

Become a Study.com member to unlock this answer!

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...

See full answer below.


Learn more about this topic:

Loading...
Net Force: Definition and Calculations

from

Chapter 5 / Lesson 10
41K

The 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.


Related to this Question

Explore our homework questions and answers library