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Physics Center of Mass JEE (Advanced) / IIT-JEE Problems (Previous Years) MCQ (Single Correct)

A particle of mass m is projected from the ground with an initial speed u 0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u 0 . The angle that the composite system makes with the horizontal immediately after the collision is :

A
B
C
D

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The correct answer is:
A

At the highest point

v 1 = (by applying momentum conservation in horizontal direction)

v 2 = (by applying momentum conservation in vertical direction)

(H = ) ⇒ θ = 45°

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