A pion has a rest energy of 135 mev. it decays into two gamma ray photons, bursts of electromagnetic radiation that travel at the speed of light. a pion moving through the laboratory at v = 0.98c decays into two gamma ray photons of equal energies, making equal angles θ with the original direction of motion. find the angle θ and the energies of the two gamma ray photons.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)

When the displacement of a mass on a spring is 12a the half of the amplitude, what fraction of the mechanical energy is kinetic energy? at what displacement, as a fraction of a, is the mechanical energy half kinetic and half potential?

What are some properties of transverse waves?