# A Guide to Physics Problems: Mechanics, Relativity, and by Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang

By Sidney B. Cahn, Boris E. Nadgorny, C.N. Yang

So as to arm hopeful graduate scholars with the information essential to go the qualifying exam, the authors have assembled and solved normal and unique difficulties from 4 significant American universities and Moscow Phys-Tech. a variety of fabric is roofed and comparisons are made among related difficulties of diverse colleges to supply the scholar with sufficient details to suppose cozy and assured on the examination.

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**Extra resources for A Guide to Physics Problems: Mechanics, Relativity, and Electrodynamics **

**Example text**

Find the expression for the apparent rotation and indicate the sign of the rotation with respect to the direction of motion of the cube and the line from the cube to the observer. 5 Relativistic Rocket (Rutgers) A rocket having initially a total mass ejects its fuel with constant velocity relative to its instantaneous rest frame. According to Newtonian mechanics, its velocity V , relative to the inertial frame in which it was originally at rest, is related to its mass M(V) by the formula a) Derive this result.

17 Proton–Proton Collision (MIT) A proton with collides elastically with a proton at rest. If the two protons rebound with equal energies, what is the angle between them?

3 Photon Box (Stony Brook) An empty box of total mass M with perfectly reflecting walls is at rest in the lab frame. 3). RELATIVITY 35 a) State what the rest mass of the system (box + photons) will be when the photons are present. b) Show that this answer can be obtained by considering the momentum and/or energy of the box-plus-photon system in any inertial frame moving along the axis. 4 Cube’s Apparent Rotation (Stanford, Moscow Phys-Tech) A cube with 1-meter edges in its rest frame moves along a straight line at velocity An observer is located in the laboratory frame, and the distance of closest approach is much greater than 1 m.