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Q.

A sphere A of mass m moving with certain velocity hits another stationery sphere B of different mass.   If the ratio of velocities of the spheres after collision is  VAVB   =   1−e1+e,   where ‘e’ is coefficient of restitution.   The initial velocity of sphere A with which it strikes is,

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a

VA+VB

b

VA−VB

c

VB−VA

d

VB+VA2

answer is A.

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Detailed Solution

given VAVB   =     1−e1+e cross multiply⇒    e   =   VB−VAVA+VB---(1)            by definition , e   =   V2−V1u1−u2   =     VB−VAuA−0---(2) substitute eqn (1) in (2) ⇒uA=VA+VB
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