A proton is bombarded on a stationary lithium nucleus. As a result of the collision, two α particles are produced. If the directions of motion of the α particles make an angle cos−1(41) with the initial direction of motion, find the kinetic energy of the striking proton. Given that the binding energies per nucleon of Li7 and He4 are 5.60MeV and 7.06MeV, respectively. Assume the mass of a proton is approximately equal to the mass of a neutron.