Problem Diagram


After a particularly long lunch, an employee, in a hurry to return to work, slams his car (Car 1) into his boss's new Mercedes (Car 2), resulting in immediate termination of his employment.
What is known:
 Car 1 weight w_{1} = 2,500 lb
 Car 2 weight w_{2} = 3,500 lb
 Car 1 moment of inertia about the CG
I_{1cg} = 1,164.6 slugft^{2}
 Car 2 moment of inertia
I_{2cg} = 2,101.5 slugft^{2}
 Car 1 velocity v_{1} = 52 mph
 Car 2 velocity v_{2} = 0 mph
 impact angle α = 45°
 position vectors for Cars' CGs
r_{1/P} = (3sinα  6cosα)i + (6sinα + 3cosα)j ft
r_{2/P} = 5i  3j ft
 coefficient of restitution e = 0.2
