The bob A of a pendulum released from a height h hits head-on another bob B of the same mass of an identical pendulum initially at rest. What is the result of this collision? Assume the collision to be elastic.

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Bob A comes to rest at B and bob B moves to the left attaining a maximum height h.

Bobs A and B both move to the left, each attaining a maximum height $\frac{h}{2} .$

Bob B moves to the left and bob A moves to the right, each attaining a maximum height $\frac{h}{2}$ .

Both bobs come to rest.

answer is A.

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Detailed Solution

Suppose the bob A acquires a velocity v on reaching the bob B. In a head-on elastic collision between two bodies of the same mass when one of them is at rest, the velocities are exchanged after the collision. Hence the bob A will come to rest at the lowermost position (occupied by B before collision) and the bob B will move to the left attaining a maximum height h.

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