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Question

Two balls of masses 2 kg and 5 kg moving on a frictionless surface, collide head-on with speeds 2 m/s and 3 m/s as shown in figure. If the coefficient of restitution is 0.25, then the kinetic energy lost by the balls is



Your Answer
A
0.65 J
Your Answer
B
0.35 J
Your Answer
C
0 J
Correct Answer
D
16.74 J

Solution

The correct option is D 16.74 J
Given,
m1=2 kg; m2=5 kg
u1=2 m/s; u2=3 m/s and e=0.25

Loss in kinetic energy
=12(m1m2m1+m2)(u1u2)2(1e2)
=12×(2×52+5)(2+3)2(1116)
=12×107×25×(1516)
=16.74 J

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