1. A 1000kg convertible on the way to Pikes Peak stops on a 14.1% incline. Calculate the friction force between the tires and the road and the minimum coefficient of friction necessary to keep the car from sliding down the hill.
2. A 5000kg truck is being pulled up a 15 degree ramp by a cable which is parallel to the surface of the ramp. If the coefficient of friction u between the wheels of the truck and the ramp is 0.100 and the truck is being pulled at a constant velocity, calculate the tension in the cable.
3. A 500kg vehicle is being driven up a 10 degree slope, propelled by a 2500N force acting parallel to the road surface.