A steel sphere of mass 100 gm moving with a velocity of 2 m/s collides with a dust particle elastically moving in the same direction with a velocity of 1 m/s. The velocity of the dust particle after the collision is

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7 m/s

3 m/s

6 m/s

4 m/s

answer is B.

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Detailed Solution

m1>>m2 V2=2m1m1+m2u1+m2−m1m1+m2u2 =2u1−u2 =2×2−1⇒3ms−1

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