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Problem 2 An m travels down the x-axis at our favorite v = c. It decays in to two photons. (a) If the photons come out back to back, travelling in the +x and -x directions, what are their energies? (b) If instead one of the photons comes out at angle relative to the x-axis, what is its energy? (Of course you'll want to check that you reproduce the first results when 0 = 0 and 0 = π.) Problem 3 An m starts at rest at x = 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 - (pc)² = (mc²)² to find x(t). (b) Taylor expand r(t) about t = 0 to order t4, thereby finding the leading relativistic correction to the nonrelativistic x = 1². 2 m (c) For large times, x(t) approaches the form ct-o. Find the constant ro.

Problem 2 An m travels down the x-axis at our favorite v = c. It decays in to two photons. (a) If the photons come out back to back, travelling in the +x and -x directions, what are their energies? (b) If instead one of the photons comes out at angle relative to the x-axis, what is its energy? (Of course you'll want to check that you reproduce the first results when 0 = 0 and 0 = π.) Problem 3 An m starts at rest at x = 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 - (pc)² = (mc²)² to find x(t). (b) Taylor expand r(t) about t = 0 to order t4, thereby finding the leading relativistic correction to the nonrelativistic x = 1². 2 m (c) For large times, x(t) approaches the form ct-o. Find the constant ro.

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Problem 2 An m travels down the x-axis at our favorite v = c. It decays in to two photons. (a) If the photons come out back to back, travelling in the +x and -x directions, what are their energies? (b) If instead one of the photons comes out at angle relative to the x-axis, what is its energy? (Of course you'll want to check that you reproduce the first results when 0 = 0 and 0 = π.) Problem 3 An m starts at rest at x = 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 – (pc)² = (mc²)² to find x(t). (b) Taylor expand x(t) about t 0 to order t4, thereby finding the leading relativistic correction to the nonrelativistic x = 1². F 2 m (c) For large times, x(t) approaches the form ct -xo. Find the constant xo. -
Transcribed Image Text:Problem 2 An m travels down the x-axis at our favorite v = c. It decays in to two photons. (a) If the photons come out back to back, travelling in the +x and -x directions, what are their energies? (b) If instead one of the photons comes out at angle relative to the x-axis, what is its energy? (Of course you'll want to check that you reproduce the first results when 0 = 0 and 0 = π.) Problem 3 An m starts at rest at x = 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 – (pc)² = (mc²)² to find x(t). (b) Taylor expand x(t) about t 0 to order t4, thereby finding the leading relativistic correction to the nonrelativistic x = 1². F 2 m (c) For large times, x(t) approaches the form ct -xo. Find the constant xo. -
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