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Question

Two balls of mass m and M are moving with horizontal speed of 16 m/s in the direction as shown in the figure. If m<<M, then for one dimensional elastic collision, the speed of lighter ball after collision will be


A
48 m/s
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B
16 m/s
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C
32 m/s
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D
0 m/s
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Solution

The correct option is A 48 m/s
Given, Velocity of mass m, u1=+16 m/s
Velocity of mass M, u2=16 m/s

In case of elastic collision, when m<<M, the velocity of heavier mass will remain constant.

Therefore velocity of masses after collision is shown below:


for perfectly elastic collision :
speed of separation = speed of approach
(v16)=(16+16)
Or, v16=32
v=48 m/s

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