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Question

A ball of mass 3 kg is moving with velocity 1.5 m/s towards a heavy block which is moving towards the ball with velocity 0.5 m/s as shown in the figure. Assuming the collision to be elastic, the velocity of the ball immediately after the collision is :


A
1.2 m/s
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B
2.5 m/s
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C
2 m/s
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D
3 m/s
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Solution

The correct option is B 2.5 m/s

Now, since the block is given to be heavy,we can assume m2>>m1
m1+m2m2

So, final velocity of m2 will remain 0.5 m/s towards left.
Let velocity of m1 after collision = v1 (towards right)
Now, e=vseparationvapproach=1 (given)
Taking rightward direction +ve,
v2v1u1u2=1
0.5v11.5(0.5)=1
v1=(2+0.5)=2.5 m/s
(-ve sign indicates velocity is towards left)

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