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)"mu"^(2)(1+(K^(2))/(R^(2))=mgh`
`implies(1)/(2)u^(2)(1+(2)/(5))=gh`
`impliesh=(7u^(2))/(10g)`.