Two uniform solid spheres of the same size, but different mass, are released from rest simultaneously at the same height on a hill and roll to the bottom without slipping. Part A Which of the following statements about these spheres are true?

A. Both spheres reach the bottom at the same time.

B. The heavier sphere reaches the bottom ahead of the lighter one.

C. Both spheres arrive at the bottom with the same forward speed.

D. Both spheres arrive at the bottom with the same total kinetic energy.

Question

Physics

Shayna Wang

16 November, 02:36

Two uniform solid spheres of the same size, but different mass, are released from rest simultaneously at the same height on a hill and roll to the bottom without slipping. Part A Which of the following statements about these spheres are true?

A. Both spheres reach the bottom at the same time.

B. The heavier sphere reaches the bottom ahead of the lighter one.

C. Both spheres arrive at the bottom with the same forward speed.

D. Both spheres arrive at the bottom with the same total kinetic energy.

+5

Answers (1)

Know the Answer?

Noelle Meadows · Answer 1

options A and C

Explanation:

Since, the spheres are of same size and rotational speed of the sphere are not dependent on their masses. So, both the sphere will reach the bottom of the at the same time with the same speed. But their kinetic energies are different.

So, options A and C are correct.