1. A 0.30 kg puck, initially at rest on a frictionless horizontal surface, is struck (inelastically) by a 0.20 kg puck that is initially moving along the x-axis with a velocity of 2.0 m/s. After the collision, the 0.20 kg puck has a speed of 1.0 m/s at an angle of 53° to the +x-axis. Determine the magnitude and direction of the velocity of the 0.30 kg puck after the collision.
2. A car with a speed of 40 km/h approaches the bottom of an icy hill. The hill has an angle of inclination of 10.5°. The driver applies the brakes, which causes the car to skid up the hill. If the coefficient of kinetic friction between the ice and the tires is 0.153, how far, measured up the incline, is the car on the hill when it stops?