Answer all This problem concerns three collision experiments performed on a fric

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This problem concerns three collision experiments performed on a frictionless surface with gliders A and B, with masses mA and mB, respectively. In all three experiments, the instantaneous speeds of gliders A and B are initially vo and 0, respectively. If not given enough information is given to answer any of the parts, state so explicity. In experiment 1, the track is level, and the gliders are repelled by magnets, so they do not come into contact. At time magnitude tf, glider A moves to the left and glider B to the right, both with speed vo/2, as shown at right. Is the magnitude of the momentum of the system of both gliders at time tf, greater than, less than, or equal to mAvo? Explain. Is , the magnitude of the momentum of glider B at time tf, greater than, less than, or equal to , the magnitude of the momentum of glider A at time tf? Explain. In experiment 2, the track is inclined, as shown. At time tf, glider A has an instantaneous speed of 0. Is the magnitude of the momentum of the system of two gliders at time tf, in experiment 2, greater than, less than, or equal to mAvo? Explain. In experiment 3, the track is again level, and glider B' s magnet is replaced by a spring-loaded plunger. (The mass of glider B is unchanged.) The plunger is initially compressed, and it is released when the gliders come into contact. At time tf, glider A moves to the left with speed greater than v0. Is the magnitude of the momentum of the system of the two gliders at time tf in experiment 3 greater than, less than, or equal to mAVo? Explain.

Explanation / Answer

In part 1

the net magnitude of momentum of the final system at t=Tf is same as previous (initial ) momentum of A=Ma*Vo

this is because no , net external force acts on the system, as magnetic repulsion is a internal force of the system rather like a spring,

now

ii) as initial momentum =final in x direction= Ma*Vo=Pb-Pa [as Pa is negative as is in -x direction]

so Pb=Pa+Ma*Vo so Pb>Pa

in part b)

here we have external net force acting in direction of motion [ the component of gravity along incline.. gravity was acting in parta too but there it was not along displacemnet eather perpendicular to it]

so, the final momentum of system is greater than initial as force in acting along incline and thus increasing the velocity of the blocks , and thus helping in increasing the momentum.

part c)

this is again same as part a , as spring force is internal , and it does not affect the net moemntuum of system

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