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A ball rolls down an inclined plane and ...

A ball rolls down an inclined plane and acquires a velocity `v_(r)` when it reaches the bottom of the plane. If the same ball slides without friction and acquires rolling from the same height down an equally inclined smooth plane and acquires a velocity `v_(s)` (then which of the following statements are not correct?

A

`v_(r)ltv_(s)`, because a work is done by the rolling ball against the frictional force

B

`v_(r)gtv_(s)`, because the angular velocity aquired markes the rolling ball to travel faster

C

`v_(r)=v_(s)`, because kinetic energy of the two balls is same at the bottom of the planes

D

`v_(r)ltv_(s)`, because the rolling ball acquires rotational as well as translational kinetic energy

Text Solution

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The correct Answer is:
A, B, C
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