A particle of mass M originally at rest is struck by a particle of mass m moving with speed Vi. After the collision the two particles move in opposite directions with the same speed Vf. Assuming a relativistic, elastic collision, find the ratio of the masses M/m in terms of ß = vi/c. Show that this reduces to the nonrelativistic value of 3 as Vi 0.
A particle of mass M originally at rest is struck by a particle of mass m moving with speed Vi. After the collision the two particles move in opposite directions with the same speed Vf. Assuming a relativistic, elastic collision, find the ratio of the masses M/m in terms of ß = vi/c. Show that this reduces to the nonrelativistic value of 3 as Vi 0.
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A particle of mass M originally at rest is struck by a particle of mass m moving with speed Vi. After the collision the two particles move in opposite directions with the same speed Vf. Assuming a relativistic, elastic collision, find the ratio of the masses M/m in terms of ß = vi/c. Show that this reduces to the nonrelativistic value of 3 as Vi 0.
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