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A solid sphere is rolling without slippi...

A solid sphere is rolling without slipping on rough ground as shown in figure. If collides elastically with an identical another sphere at rest. There is no friction between the two spheres . Radius of each sphere is R and mass is m.

What is the net angular impulse imparted to second sphere by the external forces?

A

`2/7 m RV`

B

`5/7 mRV`

C

`2/5 m RV`

D

`7/10 m Rv`

Text Solution

Verified by Experts

The correct Answer is:
A
Thinking on the same concept as discussed above `L_(i) = L_(s)`
`therefore mRv =2/5 (ln R^(2))omega^('') + mR(omega^('')R)` or `omega^('') = 5/7 v/R`

`omega^(') = v^(')/R therefore v^(') = 2/7 omega R`
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