A photon and an object of mass m have the same momentum p.
(a)Assuming that the massive object is moving slowly, so that nonrelativistic formulas are valid, find in terms of in m, p, and c the ratio of the massive object’s kinetic energy to the photon’s kinetic energy, and argue that it is small,
(b)Find the same ratio found in part (a), but using relr ativistically correct formulas for the massive object. [Note: E2 = p2c2 + may be helpful.)
(c)Show that the low speed limit of the Tatio of part agrees with part (a) and that the high-speed limit is 1.
(d)Show that at very high speed, the kinetic energy of a massive object approaches pc.
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