A block of mass \( 2 \mathrm{~kg} \) is attached with a spring of spring constant \( 4000 \mathr...

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A block of mass \( 2 \mathrm{~kg} \) is attached with a spring of spring constant \( 4000 \mathrm{Nm}^{-1} \) and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by \( 5 \mathrm{~cm} \) from its natural position and the block is at rest. Now suddenly an impulse of \( 4 \mathrm{~kg}-\mathrm{ms}^{-1} \) is given to the block towards the wall.

Approximate distance travelled by the block when it comes to rest for a second time (not including the initial one) will be (Take \( \sqrt{45}=6.70 \) )
(a) \( 30 \mathrm{~cm} \)
(b) \( 25 \mathrm{~cm} \)
(c) \( 40 \mathrm{~cm} \)
(d) \( 20 \mathrm{~cm} \)
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