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Question

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

A
Bob A comes to rest at lowest point and bob B move to the left attaining a maximum height h.
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B
Bob A and B both move to the left, each attaining a maximum height .
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C
Bob B moves to the left and bob A moves to the right, each attaining a maximum height .
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D
Both bobs come to rest.
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Solution

The correct option is A Bob A comes to rest at lowest point and bob B move to the left attaining a maximum height h.
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, 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. hence the correct choice is (a).

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