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Two particles are shown in the figure. At t=0, a constant force F=6 N starts acting on the 3 kg man.

Find the velocity of the centre of mass of these particles at t=5 s

a
5 m/s
b
4 m/s
c
6 m/s
d
3 m/s

detailed solution

Correct option is C

Method 1: Acceleration of 3 kg:  a2=63=2m/s2 Velocity of 3kg at t=5s:v2=u2+a2t=0+2×5=10m/svCM(t=5s)=2×0+3×102+3=6m/sMethod 2:aCM=Fm1+m2=62+3=1.2m/s2vCM=uCM+aCMt=0+1.2×5=6m/s

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