A 1000kg convertible on the way to Pikes Peak stops on a 14.1% incline.

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.(20)

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.(20)

3. A 500kg vehicle is being driven up a 10 degree slope, propelled by a 2500N force acting parallel to the road surface.(20)

Draw or describe the free body diagram for the vehicle, showing all forces. Calculate these forces and list them with magnitude and direction. 

Calculate the coefficient of friction between the tires and the road if the vehicle is moving at constant speed.