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Question

Two balls A and B having masses m kg and 2m kg, moving with speeds 21 m/s and 4 m/s respectively in opposite direction, collide head on. After collision A moves with a speed of 1 m/s in the same direction, then incorrect statement is :

A
The velocity of B after collision is 6 m/s opposite to the direction before collision.
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B
The coefficient of resitution is 0.2
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C
The loss of kinetic energy due to collision is (200 m)J.
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D
The impulse of the force between the two ball is (40 m) Ns.
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Solution

The correct option is B The impulse of the force between the two ball is (40 m) Ns.Using Momentum Conservation:⇒m1u1+m2u2=m1v1+m2v2⇒m(21)+2m(−4)=m(1)+2mv2⇒v2=6m/sCoefficient of Restitution:e=v2−v1u1−u2=6−121+4=0.2Kinetic Energy lost:=12m1(v21−u21)+12m2(v22−u22)=12m(1−441)+122m(36−16)=−200mJImpulse of Force: I=(Δmv)1=m(1−21)=−20m=(Δmv)2=2m(6−(−4))=20m

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