Q.

The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards right with constant speed v0 = 2 m/s. At t = 0 sec, the spring of constant k = 100 N/cm is unstretched and the block has a speed 1 m/s to the left. The maximum extension of the spring (in cm) is ________.

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answer is 6.

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Detailed Solution

In the frame (inertial) of the free end of spring, the initial velocity of block is 3 m/s to the left and the spring unstretched.Applying conservation of energy between initial and maximum extension state. 12mv2=12kA2 Or A=mkv=410,000×3=6 cm.
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