Consider a photon with wavelength 2.00 pm which scatters from a particle at rest with unknown mass. A detector measures the wavelength of the scattered photon to be 3.00 pm when the scattering angle is 120.0. (a) Use conservation of energy to determine the kinetic energy of the particle after the collision. (b) Use conservation of momentum to determine the magnitude and direction of the momentum of the particle after the collision. (c) Use the classical relationship between kinetic energy and momentum to calculate a mass for the particle. (d) Use the relativistic relationship between kinetic energy and momentum to calculate a mass for the particle. (e) How close are the values found in (c) and (d)? Is one a more accurate calculation of the mass?