Consider two uniform, solid spheres, a large, massive sphere and a smaller, ligh

Question

Consider two uniform, solid spheres, a large, massive sphere and a smaller, lighter sphere. They are released from rest simultaneously from the top of a hill and roll down without slipping. Which one reaches the bottom of the hill first?
a. The sphere with the greatest density reaches the bottom first.
b. The answer depends on the values of the spheres' masses and radii.
c. The small sphere reaches the bottom first.
d. The spheres reach the bottom at the same time.
e. The large sphere reaches the bottom first.

Explanation / Answer

Choice d, because Since the two spheres are uniform and solid they have the same translational speed at the bottom of the hill. The two spheres will also have same speed and will make the travel down the hill at the same rate and thus same time.

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