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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(5 gh //7)`

D

`sqrt(2 gh)`

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))`
`mgh = (7)/(10) mv^(2)`
` v= sqrt((10gh)/(7)`
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