Q.

A particle of mass m moving with velocity 3v collides with another particle of mass 2m moving with velocity v in the same direction. If it is perfect inelastic collision, the loss of K.E. of the system is

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a

4/3 mv2

b

27/8 mv2

c

3/4 mv2

d

Zero

answer is A.

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Detailed Solution

ΔKE=12m1m2m1+m2(u1−u2)2(1−e2) =12×m×2m3m[2v]2×[1−0] = 43mv2

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A particle of mass m moving with velocity 3v collides with another particle of mass 2m moving with velocity v in the same direction. If it is perfect inelastic collision, the loss of K.E. of the system is