Fred\'s ball and Barney\'s ball have the same size, but Barney\'s ball is hollow

Question

Fred's ball and Barney's ball have the same size, but Barney's ball is hollow. Betty's ball and Wilma's ball are scaled down versions of Fred's ball and Barney's ball respectively. They all place their bowling balls on the same pitch incline and release them from rest at the same time. (Select G-Greater than, L-Less than, E-Equal to, ). Please see diagram printed on your homework page. The order of the objects in the diagram is Fred, Betty, Barney, Wilma.

Please see diagram printed on your homework page.
The order of the objects in the diagram is Fred, Betty, Barney, Wilma.

A) The time it takes for Wilma's ball to hit the pins is .... that for Fred's ball to hit.

B) The time it takes for Betty's ball to hit the pins is .... that for Barney's ball to hit.

C) The time it takes for Betty's ball to hit the pins is .... that for Fred's ball to hit.

D) The time it takes for Barney's ball to hit the pins is .... that for Wilma's ball to hit.

E) The time it takes for Wilma's ball to hit the pins is .... that for Betty's ball to hit.

F) The time it takes for Fred's ball to hit the pins is .... that for Barney's ball to hit.

Explanation / Answer

this all depends upon the rotational inertia.

-> rotational inertia increases as the mass of the body increases.

-> rotational intertia increases as distance from the plane to the point of rotation increases.

A) G (as Fred's ball is solid and it has more mass)

B) L (as radius is more in case of barney's ball)

C) G (fred's ball has more mass and larger radius)

D) L (barney's ball seems to have more mass and larger radius)

E) G (betty's ball is solid so it has more mass)

F) L (again, fred's ball is solid, it has more mass)

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