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A bal is thrown vertically upwards with ...

A bal is thrown vertically upwards with a velocity of 4 m/s. At what heiht will its K.E. reduce to half its initial value? `(g=10m//^(2)`)

A

0.1m

B

0.2m

C

0.3m

D

0.4m

Text Solution

Verified by Experts

The correct Answer is:
D
P.E=U=A-`Bx^2` but dU=Work done=Fdx
`:.` Force acting on the particle,
`F=(dU)/(dx)=-(d)/(dx)(A-Bx^2)=-(-2Bx)=2Bx`
`:.` The magnitude of the force is proportional to x or `Fpropx`.
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