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Question

Two balls of masses 2 kg and 4 kg are moved towards each other with velocities 4 m/s and 2 m/s respectively on a frictionless surface. Find the impulse of maximum deformation for the ball of 4 kg mass.

A
83 N-s
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B
43 N-s
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C
23 N-s
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D
8 N-s
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Solution

The correct option is D 8 N-s

Linear momentum is conserved for the system
Let v be the common velocity during maximum deformation.
Applying linear momentum conservation equation :
m1u1+m2u2=(m1+m2)v
v=(m1u1+m2u2)(m1+m2)=2×4+4×(2)2+4
v=0 m/s

Impulse of deformation
JD= change in momentum of any one body during deformation
For 4 kg,JD=m2(vu2)
=4(0(2))=8 N-s

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