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Question

In the figure shown below, two particles have masses 2 kg each and they are moving with velocities 4 m/s and 2 m/s respectively towards each other. Assume the collision between the particles is perfectly elastic. Find their respective magnitudes of velocities after the collision.


A
v1=3 m/s;v2=3 m/s
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B
v1=2 m/s;v2=3 m/s
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C
v1=2 m/s;v2=4 m/s
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D
v1=4 m/s;v2=4 m/s
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Solution

The correct option is C v1=2 m/s;v2=4 m/s
Given,
m1=2 kg ; m2=2 kg
u1=4 m/s ; u2=2 m/s
From principle of conservation of linear momentum:
m1u1+m2u2= m1v1+m2v2
v1+v2=2 -------(1)
Since nature of collision is perfectly elastic, we get
v2v1=u1u2
v2v1=6 ---------(2)
From (1) and (2)
v1=2 m/s and v2=4 m/s
(It means m1 will move towards left and m2 towards right after collision)

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