Problem 2 An m travels down the w-axis at our favorite I) = gc. It decays in to two photons. (a) If the photons come out back to back, travelling in the +2: and :r directions, what are their energies? (b) If instead one of the photons comes out at angle 6 relative to the m-axis, what is its energy? (Of course you'll want to check that you reproduce the rst results when 0 = 0 and 9 = 1r.) Problem 3 An m starts at rest at a: = 0 at time t = 0 and is accelerated to relativistic speeds by a constant force F. (a) Use the concepts of work and impulse, and the familiar relation E2 (1126)2 = (mm?)2 to nd 330?). (b) Taylor expand mot) about t = O to order t4, thereby nding the leading relativistic correction to the nonrelativistic a: = %%t2. (c) For large times, 33(t) approaches the form at 3:0. Find the constant 2:0