1. a)What is the centripetal force necessary to keep an object of 20 kg traveling in a circle of radius 225m with a period of 30 mins? (b) what is the centripetal acceleration?

2. a) A 5 kg ball connected to a 3-meter rope is being swung horizontally. If the ball is traveling at 30 m/s, what is the tension on the rope? (b) If the rope at max can withstand 100N of force, what is the max speed the ball can travel?

3. a) A 650 kg car is traveling 100 m/s on a rough 500m circular track. What force is necessary to keep the car on the track? (b) If the coefficient of friction is .4, will the car remain on the track?

4. a) A 500 kg car is traveling 30 m/s at the bottom of a 30-meter radius valley, what is the normal force on the car? b) A 500 kg car is traveling 5 m/s at the top of a 50-meter radius hill, what is the normal force on the car?

5. A 750 kg rollercoaster is traveling 20 m/s through a 40-meter loop. If the rollercoaster is inside the loop what is the normal force on the rollercoaster at the top of the loop?