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Question

Two balls of masses 3 kg and 5 kg are moving towards each other with speeds 5 m/s and 3 m/s respectively on a frictionless surface as shown in figure. After collision, the 5 kg ball retraces its path with speed 2 m/s. Find the coefficient of restitution.


A
1
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B
13
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C
23
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D
83
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Solution

The correct option is C 23
Given,
m1=3 kg;m2=5 kg
u1=5 m/s;u2=3 m/s, v2=2 m/s
Let velocity of m1 after collision v1=v m/s
(taking rightward +ve)

Using PCLM,
m1u1+m2u2=m1v1+m2v2
3(5)+5(3)=3(v)+5(2)
v=103 m/s

Therefore, cofficient of restitution
e = v2v1u1u2=2+1035+3=23

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