A particle of mass m1 with an initial kinetic energy T1 makes an elastic collision with a particle of mass m2 initially at rest. m1 is deflected from its original direction with a kinetic energy T′1 through an angle φ1 as in Figure 7.6.1. Letting α = m2/m1 and γ= cos φ1, show that the fractional kinetic energy lost by m1, ΔT1/T1 = (T1 − T′1)/T1 is given by
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