A pendulum is fastened to a car on a horizontal frictionless surface. The pendul

Question

A pendulum is fastened to a car on a horizontal frictionless surface. The pendulum ball, mass m2, is released from rest at height h0 above its lowest position. The car, of mass m1, is held while the ball is descending, so the car does not move. At the instant the ball passes through its lowest position, the car is released. Find the height to which the ball rises on the other side of its swing. (Hint: Note that when the ball is at its final high position, both ball and car are moving with the same velocity.)

Explanation / Answer

intial kinetic energy = 0.5*m2 * 2*g*ho = final potential energy = (m1+m2)*g*h h = {m2/(m1+m2)}*ho

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