Two balls of masses 2kg and 4kg are moved towards each other with velocities 4m/s and 2m/s respectively on a frictionless surface. Find the impulse of maximum deformation for the ball of 4kg mass.
A
83N-s
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B
43N-s
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C
23N-s
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D
8N-s
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Solution
The correct option is D8N-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=0m/s
Impulse of deformation JD= change in momentum of any one body during deformation For 4kg,JD=m2(v−u2) =4(0−(−2))=8N-s