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If a spherical ball rolls on a table wit...

If a spherical ball rolls on a table without slipping, the fraction of its total energy associated with rotation is -
(a) `2/5` (b) `2/7` (c) `3/5` (d) `3/7`

A

`3/5`

B

`2/7`

C

`3/5`

D

`3/7`

Text Solution

Verified by Experts

The correct Answer is:
B
`f_(r)=(1/2Iomega^(2))/(1/2mv^(2)+1/2Iomega^(2)), where I=2/5mr^(2)`
`omega=v/r`
solve to get `f_(r)=2/7`
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