Question

A solid spherical ball and a hollow spherical ball made out of the same material are released from rest at the top of a ramp. They roll down the ramp without slipping to the bottom. show answer Incorrect Answer 50% Part (a) On what quantities does the speed of each ball at the bottom of the ramp depend? Select all that apply. Radius of the ball Distribution of mass within the ball Mass of the ball Height of the ramp Grade Summary Deductions 4% Potential 96% Submissions Attempts remaining: 2 (4% per attempt) detailed view 1 4%

Answer 1

Answer:

1 ) Distribution of mass within the ball

2 ) Height of the ramp

Explanation:

Acceleration of a rolling body down an inclined plane is given by the following formula

a = g sinθ / ( 1 + k² / R² )

k is radius of gyration , R is radius of the spherical object ,

when acceleration is more , velocity will also be more .

for objects in which masses are lying in the periphery like in hollow sphere , the value of k²/R² will be high so denominator of the expression will be high so acceleration will be less , hence velocity on reaching the bottom will be less.

On mass of the ball , velocity will not depend .

If height is increased , ball will have acceleration for greater time so velocity will be high.

On radius it will not depend because , radius r and k increases proportionately.