A 20 kg body and a 30 kg body are moving along the x axis. At a particular insta

Question

A 20 kg body and a 30 kg body are moving along the x axis. At a particular instant the 20 kg body is 10 m from the origin and has a velocity of 30 m/s and the 30 kg body is 20m from the origin and has a velocity of - 10 m/s find the position and velocity of the center of mass and also find the total momentum.

A 20 kg body and a 30 kg body are moving along the x axis. At a particular instant the 20 kg body is 10 m from the origin and has a velocity of 30 m/s and the 30 kg body is 20m from the origin and has a velocity of - 10 m/s find the position and velocity of the center of mass and also find the total momentum.

Explanation / Answer

Xcm = (m1x1+m2x2)/(m1+m2)

       = (20*10 + 30*20) / (20+30)

        = 16 m

Hence the position of center of mass is 16 m from the origin.

Vcm = (m1v1+m2v2)/(m1+m2)

       = (20*30 - 30*10) / (20+30)

        = 6 m/s

Hence, the velocity of center of mass is 6 m/s

Momentum of center of mass = m1v1 + m2v2

            P = 20*30 - 30*10 = 300 kg. m/s

Hence the momentum of the center of mass is 300 kg.m/s

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