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A block of mass m is attached to one end...

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is `mu` then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A

`(2mg mu)/(k)`

B

`(mg mu)/(k)`

C

`(4mg mu)/(k)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`E_(i)-E_(f) =` Work done againt fricion
`:. 1/2kx^(2)-1/2K(x/2)^(2) =mu mg (x+x/2)`
`:. x=(4mu mg)/k`.
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