The spring block system lies on a smooth horizontal surface. The free end of the light spring is being pulled towards right with constant speed v 0 = 2 m / s . At t = 0 sec , the spring of spring co

Question

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

TestHub · Accepted Answer

The free end moves at constant 2 m/s, so its frame is inertial. In that frame the block executes SHM about the unstretched position, starting with relative speed $1 + 2 = 3 m/s$ toward it.

$A = v_{re l} \frac{m}{k} = 3 \frac{m}{10000}$

The printed options fix the (omitted) mass at m = 4 kg, giving $A = 0.06 m = 6 cm$ . Ans. (C)

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