The Flintstones and Rubbles decide to try out the new inclined bowling alley, ``

Question

The Flintstones and Rubbles decide to try out the new inclined bowling alley, ``Bedslant Bowling''. Fred's ball and Barney's ball have the same size, but Barney's ball is hollow. Wilma's ball and Betty'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. (greater than,, less than, equal to)

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

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

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

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

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

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

Explanation / Answer

Here,

as the moment of inertia of hollow ball is more than the solid ball.

acceleration of the ball is lower for hollow ball

and the time taken will be higher for hollow ball.

Now , for the time taken

The time it takes for Wilma's ball to hit the pins is less than that for Barney's ball to hit.
The time it takes for Barney's ball to hit the pins is equal to that for Betty's ball to hit.
The time it takes for Fred's ball to hit the pins is less than that for Betty's ball to hit.
The time it takes for Fred's ball to hit the pins is equal to that for Wilma's ball to hit.
The time it takes for Fred's ball to hit the pins is less than that for Barney's ball to hit.
The time it takes for Wilma's ball to hit the pins is less than that for Betty's ball to hit.

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