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

Options

A. `3u^(2)//4g`
B. `5u^(2)//2g`
C. `7u^(2)//10g`
D. `u^(2)//2g`

Answer

C

Explanation

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)`