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While dealing with collision between par...

While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision.
If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever
From CM frame, after a head-on elastic collision:

A

velocity of particles change in direction but not in magnitude

B

velocity of particles gets. interchanged

C

velocity remains unchanged

D

momentum of each particle remains conserved

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While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision. If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever From CM frame, after a perfectly inelastic head-on collision:

While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision. If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever Two particles of mass 2 kg and 1kg as shown in the figure make a perfectly inelastic collision. Then if we are dealing with center of mass reference frame, the velocity of B before collision is:

Knowledge Check

  • In perfectly inelastic collision

    A
    Only momentum is conserved
    B
    Momentum and total energy both are conserved,
    C
    Momentum 'and kinetic energy both are conserved
    D
    Only kinetic energy is conserved.

  • In perfectly elastic collision

    A
    Only momentum is conserved
    B
    Momentum and kinetic energy both are conserved
    C
    Neither momentum nor kinetic energy is conserved
    D
    Only kinetic energy is conserved.

  • For perfectly elastic collision

    A
    `v_(2)-v_(1)=u_(2)-u_(1)`
    B
    `v_(1)-v_(2)=u_(1)-u_(2)`
    C
    `v_(2)-v_(1)=u_(1)-u_(2)`
    D
    `v_(2)-v_(1)=(u_(1)+u_(2))/(2)`

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    Explore conceptually related problems

    While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision. If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever If collision were elastic in above question then velocity of B after collision in CM reference frame will be:

    While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision. If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever After collision, the velocity of B in CM reference frame will be

    Reference Frame

    After perfect inelastic collision

    In an elastic collision between two particles

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