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

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Consider a one-dimensional, head-on elastic collision. One
object has a mass m1 and an initial velocity v1; the other has a mass
m2 and an initial velocity v2. Use momentum conservation and
energy conservation to show that the final velocities of the two
masses are
v1,f = a
m1 - m2
m1 + m2
bv1 + a 2m2
m1 + m2
bv2
v2,f = a 2m1
m1 + m2
bv1 + a
m2 - m1
m1 + m2
bv

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