1. A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of 3.5 × 105 m/s and makes a collision with the second proton (At close separations, the protons exert a repulsive electrostatic force on each other.) After the collision, one proton moves off at an angle of 37° to the original direction of motion and the second deflects at an angle of a to the same axis. Find the final speeds of the two protons and the angle a.

Fig: 1