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If net force on a system of particles is...

If net force on a system of particles is zero. Then
`{:(,"Column I",,"Column II",),((A),"Acceleration of centre of mass",(p),"Constant",),((B),"Velocity of centre of mass",(q),"Zero",),((C ),"Momentum of centre of mass",(r ),"May br zero",),((D),"Velocity of an individual particle of the system",(s),"May be constant",):}`

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If the total external forces on the system of particle is zero, then find the velocity and acceleration of its centre of mass.

Velocity Of Centre Of Mass Of System

Define centre of mass of a system of particles.

A particle of mass 1 kg has velocity vec(v)_(1) = (2t)hat(i) and another particle of mass 2 kg has velocity vec(v)_(2) = (t^(2))hat(j) {:(,"Column I",,"Column II",),((A),"Netforce on centre of mass at 2 s",(p),(20)/(9) unit,),((B),"Velocity of centre of mass at 2 s",(q),sqrt68 " unit",),((C ),"Displacement of centre of mass in 2s",(r ),(sqrt80)/(3) "unit",),(,,(s),"None",):}

A particle of mass 1 kg has velocity vec(v)_(1) = (2t)hat(i) and another particle of mass 2 kg has velocity vec(v)_(2) = (t^(2))hat(j) {:(,"Column I",,"Column II",),((A),"Netforce on centre of mass at 2 s",(p),(20)/(9) unit,),((B),"Velocity of centre of mass at 2 s",(q),sqrt68 " unit",),((C ),"Displacement of centre of mass in 2s",(r ),(sqrt80)/(3) "unit",),(,,(s),"None",):}

A particle of mass 1 kg has velocity vec(v)_(1) = (2t)hat(i) and another particle of mass 2 kg has velocity vec(v)_(2) = (t^(2))hat(j) {:(,"Column I",,"Column II",),((A),"Netforce on centre of mass at 2 s",(p),(20)/(9) unit,),((B),"Velocity of centre of mass at 2 s",(q),sqrt68 " unit",),((C ),"Displacement of centre of mass in 2s",(r ),(sqrt80)/(3) "unit",),(,,(s),"None",):}