Q.

A sphere of mass 0.3 kg moving with a velocity of 4 m/s collides with another sphere of mass 0.5 kg which is at rest. Assuming the collision to be elastic, their velocities after the impact are

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a

4 m/s and 0 ms-1

b

-1 m/s and 3 m/s

c

2 m/s and 2 m/s

d

4 m/s and 8 ms-1

answer is B.

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Detailed Solution

Alternative Solutions : -0.3 X V1 + 0.5 X V2 = 0.3 X 4 + 0.5 X 0⇒ 3 V1+ 5 V2 = 12 ---------- (1)V2 -V1 / 4-0 = 1 ⇒ V2 -V1 = 4 -----------------(2)Solving , V1 = -1 m/s and V2 = 3 m/s
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