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A solid sphere rolls without slipping, f...

A solid sphere rolls without slipping, first horizontal and then up to a point X at height h on an inclined plane before rolling down, as shown.

The initial horizontal speed of the sphere is

A

`sqrt((10gh)/(7))`

B

`sqrt((7gh)/(5))`

C

`sqrt((5gh)/(7))`

D

`sqrt(2gh)`

Text Solution

Verified by Experts

The correct Answer is:
A
`mgh = (1)/(2) mv^(2) + (1)/(2) (2)/(5) mR^(2) (v^(2))/(R^(2)) rArr mgh= (7)/(10) mv^(2)`
`rArr v= sqrt((10gh)/(7))`
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