A small compact car with a mass of 1000 kg is traveling north towards an intersection at a speed of 15 m/s. A truck with a mass of 2000 kg is traveling east at 10 m/s on the cross street approaching the same intersection. The two vehicles collide and the car moves away from the collision at a speed of 7.5 m/s in the direction 30° N of E.
a. What is the magnitude and direction of the velocity of the truck after the collision?
b. What is the impulse exerted on the car by the truck?
c. What is the impulse exerted on the truck by the car?
d. How much energy was lost during the collision?