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Ballistic Pendulum measures projectile speeds

A ballistic pendulum is a great device for measuring projectile speeds that are relatively large. You launch a small mass m into a large mass M, and it swings up a height h where the two masses stick together. Show that the velocity of the projectile (mass m) is given by v= (m+M)/m) times the square root of 2gh

Solution Summary

With formulas and a diagram, the problem is solved.