A photon moving in the +x-direction scatters off a free stationary electron. The wavelength of the incident photon is 0.0350 nm. After the collision, the electron moves at an angle α below the +x-axis, while the photon moves at an angle θ = 76.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slowly enough that the non-relativistic relationship between momentum and velocity can be used.)
(a) What is the angle α (in degrees)? Counterclockwise from the +x-axis.
(b) Determine the speed of the electron (in m/s).