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A mass m is attached to a spring. The sp...

A mass `m` is attached to a spring. The spring is stretched to `x` by a force `F` and refeased. After being released, the mass comes to rest at the initial equilibrium position. The coeffiecient of friction, `mu_(k)` , is `:-`

A

`mu_(k)=(2Kx)/(mg)`

B

`mu_(k)=(2mg)/(F)`

C

`mu_(k)=(F)/(2mg)`

D

`mu_(k)=(mg)/(2Kx)`

Text Solution

Verified by Experts

The correct Answer is:
C
By using work energy theorm, `W=DeltaKE`
`Fx-mu_(k)mgx-mu_(k)mgx=0rArrmu_(k)=(F)/(2mg)`
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