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NEET 2010 (AIPMT, Prelims) · Collisions

Collisions question from NEET 2010 (AIPMT, Prelims)

Q13NEET 2010 · AIPMT · PRELIMSMedium

Collisions

A ball moving with velocity 2 m/s collides head on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m/s) after collision will be

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Answer: (a)

Momentum: $m(2) = m v_1 + 2m v_2 \Rightarrow v_1 + 2v_2 = 2$
Restitution: $v_2 - v_1 = e(2) = 1$
Solving: $3v_2 = 3 \Rightarrow v_2 = 1$ , $v_1 = 0$
So the answer is (a) 0, 1.

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