Two pucks traveling at each other collide and deflect at 30.0° angles from their original velocities. The mass of Puck B is 20% greater than the mass of Puck A. Before colliding, the pucks approach each other with momenta of equal magnitudes and opposite directions. After colliding, half the kinetic energy is lost.
a) Derive an expression relating the initial velocities of both of the pucks before the collision.
b) Derive a different expression relating the y-components of the final velocities of both the pucks after the collision.
c) Derive a different expression relating the velocities before the collision with the velocities after the collision.
d) Combine your expressions from parts (a), (b), (c) to derive a relationship between the initial velocity and the final velocity of Puck A, and between the initial velocity and final velocity of Puck B.
e) If the initial velocity of Puck A is 10.0 m/s, calculate the velocities of each puck after the collision.