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A body of mass m1 = 4 kg moves at 5i^ ms-1 and another body of mass m2 = 2 kg moves at 10i^ ms-1. The kinetic energy of centre of mass is 

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a
2003J
b
5003J
c
4003J
d
8003J

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detailed solution

Correct option is C

Velocity of centre of mass,          vCM=m1dr1dt+m2dr2dtm1+m2=4×5i^+2×10i^4+2=40i^6=203i^The kinetic energy of centre of mass,          K=12mvCM2=12×(4+2)×20×203×3              =12×6×20×203×3=4003 J

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