1. A 1.88 kg ball is tied to a 2.90 m long string. The ball is spun in a horizontal circle with a constant speed of 4.62 m/s. What is the tension in the string?

2. A 0.45 kg ball is tied to a 0.84 m long string. The ball is spun in a vertical circle with a constant speed of 3.55 m/s. What is the maximum tension in the string?

3. A 1,920 kg car is turning to the left on a curved road with a radius of 35.0 m. The car travels at a constant speed of 12.5 m/s around the curve. What is the coefficient of static friction between the road and the tires if the car is traveling at the maximum speed before it begins to slide on the road?

4. A 1,540 kg car will attempt a loop-the-loop. The loop has a radius of 35 m. The car travels at a constant speed of 16 m/s as it approaches the loop. What minimum speed must the car have to make it around the loop?

5. A 1,625 kg car will attempt a loop-the-loop. The loop has a radius of 26.4 m. The car travels at a constant speed of 39.5 m/s as it approaches the loop. What is the normal force exerted on the car by the loop at the top of the loop?

6. A 18,120 N car is driving over hilly roads at a constant speed of 13.0 m/s, one such hilltop road has a radius of curvature of 117 meters. What is the normal force of the car at the top of the hill?

7. A conical pendulum is created by attaching a 3.40 kg mass to a long string and giving the mass a sideways push. The ball and string thus form a conical shape as the ball traverses a horizontally circular path. The mass is given a speed of 9.1 m/s that we may assume to be relatively constant. The angle of the cone () formed by the string is 35.5. What is the tension in the string?

8. A child is riding the Gravitron at the carnival. The ride spins just fast enough for the child to stick to the wall when the floor drops out, completing a revolution every 9.67 s. What is the radius of the ride if the coefficient of friction between the wall and the child is equal to 0.60?

9. A pendulum on a planet with an acceleration due to gravity of 4.0 m/s/s is suspended from a ceiling with a 2.3m long string and the 6.5kg bob is displaced 5.5 degrees. A long rod protrudes from the wall behind, extending to where it is 0.60m underneath the pendulum's attachment to the ceiling. The bob is then released and the pendulum is free to swing. How long does it take for the pendulum to return to the location from which it was released?

10. A child of mass 58kg is riding a Ferris wheel. Where the child is sitting is 8.4m from the axis of rotation. The operator is new at his job and set the ride at its highest setting, so that the Ferris wheel rotates twice every 7.0s. What normal force does the seat exert on the child when it is at location A in the diagram below?

11. A small object of mass 1.60kg is suspended from a string of length 0.60m that make an angle 15.0 degrees with the vertical. The object revolves with constant speed in a horizontal circle of radius R, as shown below. What is the period of the conical pendulum?