Hello. Can someone please answer these physics questions on Circular Motion? I would appreciate if you can show all the work that leads to the answer. In addition, the answers are provided in small text right next to each question, so that you can check your answers, if needed.

Circular Motion Problems Fe=mv/r 1. An automobile moves at constant speed over the crest of a hill. The driver moves in a vertical circle of radius 18.0 m. At the top of the hill, she notices that she barely remains in contact with the seat. Find the speed of the vehicle. (13.3 m/s) 2. A coin placed 30 cm from the center of a rotating horizontal turntable slips when its speed is 50 cm/s. (a) What provides the force in the radial direction when before the coin slips? (b) What Is the coefficient of static friction between coin and turntable? 7= 30 em 3. A pail of water is rotated in a vertical circle of radius 1.0 m. What must be the minimum speed of the pail at the top of the circle if no water is to spill out? ( 13 m/s] 4. A roller-coaster vehicle has a mass of 500 kg when fully loaded with passengers. (a) If the vehicle has a speed of 20.0 m/s at point A, what is the force exerted by the track on the vehicle at this point? (b) What is the maximum speed the vehicle can have at B and still remain on the track? also 2490ON, 12.12m/'s] 5. An air puck of mass 0.25 kg is tied to a string and allowed to revolve in a circle of radius 1.0 m on a frictionless, horizontal table. The other end of the string passes through a hole in the center of the table and a mass of 1.0 kg is tied to it (Fig P6.38). The suspended mass remains in equilibrium while the puck on the tabletop revolves. What are (a) the tension in the string (b) the central force exerted on the puck, and (c) the speed of the puck? (9.8N.SEN. 6.26 m/s) 6. An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between the person and, the wall is 0.30, and the radius of the cylinder is 2.5 m. What is the minimum tangential speed of the cylinder so that you can stay in the bottomless room? (30m/) 7. A block of mass m slides down an inclined plane into a loop-the-loop of radius 0.5 m. Neglecting friction what is the minimum speed the block must have at the highest point of the loop to stay in the loop? (2.2 m/'s) 8. What is the highest speed an automobile can have in travelling around a curve of radius 80 m on a level road if the coefficient of static friction between the tires and the road is 0.49 ? (19.6 m/] 9. A 0.6 kg pendulum bob hangs by a cord from the roof of a moving can. If the van is traveling 20 m/sec around a curve of radius 300 m, find the angle which the cord makes with the vertical. What is the tension in the cord? (7.74",5.90%)