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A sphere of mass m and radius r rolls on...

A sphere of mass `m` and radius `r` rolls on a horizontal plane without slipping with a speed `u`. Now it rolls up vertically, then maximum height it would be attain will be

A

`3u^(2)//4g`

B

`5u^(2)//2g`

C

`7u^(2)//10g`

D

`u^(2)//2g`

Text Solution

Verified by Experts

The correct Answer is:
C
Law of conservation of energy
`(1)/(2) m u^(2) (1+ (K^(2))/(R^(2)))= mgh`
`rArr (1)/(2) u^(2) (1+ (2)/(5))= gh`
`rArr h= (7u^(2))/(10g)`
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