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A block of mass M slides along a horizon...

A block of mass M slides along a horizontal table with speed `v_(0)`. At `x=0`, it hits a spring with spring constant k and begins to experience a friction force. The coefficient of friction is variable and is given by `mu=bx`, where b is a positive constant. Find the loss in mechanical energy when the block has first come momentarily to rest.
.

A

`(gbMv_(0)^(2))/(2k)`

B

`(Mgbv_(0)^(2))/(2(k+gb))`

C

`(gbMv_(0)^(2))/(k)`

D

`(M^(2)gbv_(0)^(2))/(2(k+Mgb))`

Text Solution

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The correct Answer is:
D
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