Consider a one-dimensional, head-on elastic collision. Oneobject has a mass m1 and an initial velocity v1; the other has a massm2 and an initial velocity v2. Use momentum conservation andenergy conservation to show that the final velocities of the twomasses arev1,f = am1 - m2m1 + m2bv1 + a 2m2m1 + m2bv2v2,f = a 2m1m1 + m2bv1 + am2 - m1m1 + m2bv

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