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The spring block system lies on a smooth...

The spring block system lies on a smooth horizontal surface. The free endof the spring is being pulled towards right with constant speed `v_(0) = 2m//s`. At `t = 0 sec`, the spring of constant `k = 100 N//cm` is unsttretched and the block has a speed `1 m//s` to left. The maximum extension of the spring is.
.

A

2 cm

B

4 cm

C

6 cm

D

8 cm

Text Solution

Verified by Experts

The correct Answer is:
C

In the frame (inertial w.r.t. earth) of free end of spring the initial velocity of block is `3(m)/(s)` to left and the spring unstretched. Applying conservation of energy between initial and maximum extension state.
`(1)/(2)mv^2=(1)/(2)kA^2`
or `A=sqrt((m)/(k))v=sqrt((4)/(1000))xx3=6cm`
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