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Question

A steel ball of radius 2cm is initially at rest on a horizontal frictionless surface. It is struck head on by another steel ball of 4 cm radius travelling with a velocity of 81cm/s. The velocities of two balls after collision are-

A
72cm/s and 56cm/s
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B
144cm/s and 56cm/s
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C
144cm/s and 63cm/s
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D
63cm/s and 72cm/s
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Solution

The correct option is D 144cm/s and 63cm/s
radii give us their masses:8m and m
u1=81cm/s;u2=0
v1=(m2m1)u1/(m2+m1);v2=(2m1)u1/(m2+m1)
v1=7mu/9m=981/9=63cm/s;v2=1681/9=144cm/s

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