# Its just a collision

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.

Try my set

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