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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 be zero",),((D),"Velocity of an individual particle of the system",(s),"May be constant",):}`

Text Solution

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The correct Answer is:
A -q, B-r, C`r`r,D`rightarrow`s
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Velocity Of Centre Of Mass Of System

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",):}

Knowledge Check

  • If net force on a system of particles is zero, then match the following columns

    A
    B
    C
    D
  • If the net external forces acting on the system oif particles is zero, then which of the following may vary?

    A
    Momentum of the system
    B
    Velocity of center of mass
    C
    Position of center of mass
    D
    None of the above
  • If the net external force acting on a system is zero, then the centre of mass?

    A
    must not move
    B
    must not accelerate
    C
    may move
    D
    may accelerate
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    A balloon rises up with constant net acceleration of 10 m//s^(2) . After 2 s a particle drops from the balloon. After further 2 s match the following : ("Take" g=10 m//s^(2)) {:(,"Column I",,,"Column II"),((A),"Height of perticle from ground",,(p),"Zero"),((B),"Speed of particle",,(q),10 SI "units"),((C),"Displacement of Particle",,(r),40 SI "units"),((D),"Acceleration of particle",,(s),20 SI "units"):}

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