A ball rolls without slipping down a tilted plane, starting from rest. At the sa

Question

A ball rolls without slipping down a tilted plane, starting from rest. At the same time, a box starts from rest and slides down the same plane, although we will assume that there is no friction for the box (note that friction is what allows the ball to roll). Which arrives at the bottom first?
The Box arrives first...

BUT

Which arrives at the bottom first if we include friction between the box and the plane?

A.) Ball B.) Box C.) Same Time D.) Depends on Mass of Box

Ive already chosen A and B... Its either C or D.

Help me and please explain why

Explanation / Answer

Answer is D) The think here is the effect that the friction force have depends on the mass, the angle also have a great effect in the answer, but it seems is not an option, what is worth noticing is that the mass doesn't have effect in the ball rolling given that the friction is only responsible of the rolling.

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