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A small sphere of mass 1 kg is rolling w...

A small sphere of mass 1 kg is rolling without slipping with linear speed
`v=sqrt((200)/(7) m//s`

It leaves the inclined plane at point C.
Find the linear speed at point C.

A

`2//5`

B

`2//3`

C

`1//6`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
At point C total kinetic energy is 10 J. Ratio of `K_(R)/K_(T) ` is `2/3` .Therefore,
`K_(R) = 2/7 xx 10 = 20/7` J
this `K_(R)` will now remain constant because only weight act on the sphere in air which will pass through centre. Net torque will be zero. So, `K_(R)` can neither increases nor decreases. So, at the time striking with ground.
`K_(R) = 20/7 J `, while, `K_(T) =(20-20/7)_ = 120/7 J therefore K_(R)/K_(T) = 1/6`
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