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Question

A body of mass m1 moving with an unknown velocity of v1^i, undergoes a collinear collision with a body of mass m2 moving with a velocity v2^i. After collision, m1 and m2 move with velocities of v3^i and v4^i, respectively.
If m2=0.5 m1 and v3=0.5v1 then v1 is equal to,

A
v4v2
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B
v4v22
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C
v4+v2
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D
v4v24
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Solution

The correct option is A v4v2
According to conservation of momentum principle,

m1v1+m2v2=m1v3+m2v4

m1v1+(0.5m1)v2=m1(0.5v1)+(0.5m1)v4

v1+0.5v2=0.5v1+0.5v4

v1=v4v2

Hence, (B) is the correct answer.

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