A simple pendulum consists of a particle of mass m attached to the end of a mass

Question

A simple pendulum consists of a particle of mass m attached to the end of a massless string.  Initially, the pendulum hangs vertically. A second particle of the same mass m moving at velocity v0 along a horizontal trajectory makes a head-on collision with the first particle.  Calculate the height h that the pendulum swings up from its initial position after the collision if

a) the collision is totally inelastic so that the two particles stick together after the collision.

b) the collision is elastic.

Explanation / Answer

a) .5m*vo^2 = 2m*g*h

h = vo^2/4g

b)h = vo^2/2g

since total KE converts to PE

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