Its just a collision

Classical Mechanics Level 3

A ball of mass \(m\) falls vertically from a height \(42.05~m\) and collides with a block of equal mass \(m\) moving horizontally with a velocity \(v\) on a horizontal surface. The coefficient of kinetic friction is \(\mu_{k}=0.2\) while the coefficient of restitution between the block and ball is \(0.5\). There is no friction acting between the block and the ball. The velocity of the block just after the collision decreases by \(K~m/s\)

Find \(|K|\)

Details and Assumptions

Take acceleration due to gravity as \(10~m/s^{2}\)

The block doesn't bounces off the ground after collision.

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