The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards the right with constant speed V 0 = 2 m s - 1 . At t = 0 s , the spring of constant k =

Question

The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards the right with constant speed $V_{0} = 2 m s^{- 1}$ . At $t = 0 s$ , the spring of constant $k = 100 N c m^{- 1}$ is unstretched and the block has a speed $1 m s^{- 1}$ to left. The maximum extension of the spring will be

TestHub · Accepted Answer

In the frame (inertial w.r.t. earth) of the free end of spring, the initial velocity of the block is $3 m / s$ to left and the spring is unstretched.

Applying conservation of energy between initial and maximum extension state,

$\frac{1}{2} m V^{2} = \frac{1}{2} k A^{2}$

$A = \sqrt{\frac{m}{k}} V = \sqrt{\frac{4}{10000}} \times 3 = 6 c m$

Physics - SHM Question with Solution | TestHub

Options:

Doubts & Discussion