Physics - W.E.P. Question with Solution | TestHub

By the principle of conservation of mechanical energy, the maximum kinetic energy of the block is equal to the maximum potential energy stored in the spring at maximum compression.

$\frac{p^2}{2m}=\frac{1}{2}K{x}^2$

$p^2=mK{x}^2$

$p=\sqrt{mK}x$

The maximum momentum of the block after the collision is equal in magnitude to its initial momentum, which is $\sqrt{mK}x$.

Answer: $\sqrt{\text{km}}x$