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1. You have taken data in the laboratory with the following set up: Two identica

ID: 1372817 • Letter: 1

Question

1. You have taken data in the laboratory with the following set up: Two identical 0.170 kg gliders, glider A and glider B, can glide without friction on a horizontal air track. They are each given a push toward the center of the track, with glider B having velocity ! vB = (0.50 m/s)(-i) that has a magnitude twice that of glider A. When they collide, elastic bumpers make contact and an elastic collision occurs. (a) What is the initial momentum of the system of two gliders (just before the collision)? (b) What is the final momentum of the system of two gliders (just after the collision)? (c) Where is the center of mass of the system of two gliders, relative to glider A? (A number is not required in the answer.) (d) What is the velocity of the center of mass? (e) What is the (vector) velocity of each glider just after the collision?

Explanation / Answer

Initial momentum = maua + mbub

Final momentum = mb Vb + mb Vb

Xcm =( maxa +mbxb) / (ma + mb)

Vcm =( maVa + mbVv) /( ma + mb)

After collision the glider A will move in the direction of Ub and glider B will move in the direction of Ua.