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JEE 2022 | Center of Mass And Collision | Dravyaman Kendra Aur Sanghat | Collision | Physics

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A body of mass m_(1) moving at a constant speed undergoes an elastic head on collision with a body of mass m_(2) initially at rest. The ratio of the kinetic energy of mass m_(1) after the collision to that before the collision is -

A particle of mass m strikes a wedge of mass M horizontally as shown in the figure. Statement - 1 : If collision is perfectly inelastic then, it can be concluded that the particle sticks to the wedge. Statement - 2 : In perfectly inelastic collision velocity of both bodies is same along common normal just after 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:

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

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:

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