Hi, I just wanted to verify that I have chosen the correct answer. Consider two

Question

Hi,

I just wanted to verify that I have chosen the correct answer.

Consider two uniform, solid spheres, a large, massive sphere, and asmaller, lighter sphere. They are released from rest simultaneouslyfrom the top of a hill and roll down without slipping. Which onereaches the bottom of the hill first?

(a)The large sphere reaches the bottom first.
(b) The small sphere reaches the bottom first.
(c) The sphere with the greatest density reaches the bottomfirst.
(d) The spheres reach the bottom at the same time.
(e) The answer depends on the values of the sphere's masses andradii.

I selected d. Please let me know what you think and if you differplease explain why.

Thanks,

Explanation / Answer

         Since noinitial push (Force) is given, and we are interested in thevertical motion only, which is due to gravitational acceleration,and that acceleration is same for all the bodies, whatever the massor mass density it has, the spheres will reach the bottom at thesame time. So, your choice is correct.

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