Question

1. A circus performer is practicing riding a motorcycle in the Globe of Death, a hollow sphere you can ride a motorcycle from within if you manage to get your motorcycle fast enough. She estimates the radius to be round 4.0 m. The total mass of her motorcycle and her is 100 kg. As she safely completed her first vertical loop, returning to the bottom of the sphere at a speed of 25 m/s, how much force is the globe supporting her and her motorcycle, from underneath?

2. A roller coaster has just entered a vertical loop with an estimated radius of 8.0 m. An anxious rider with mass 78 kg is clinching onto the safety bar. As the roller coaster car is reaching the top of the loop at 25 m/s, how much force from the seat is supporting the rider, assuming the rider's force against the safety bar is entirely horizontal?

3. A satellite is orbiting the earth at 55,000 m above the earth's surface. What is its period in seconds?

The mass of the Earth is 5.98*10^24kg. The radius of the Earth is 6.37*10^6m. Gravitational constant G=6.67*10^-11 N*(m^2)/(kg^2)

4. You are swinging a conical pendulum with a string 0.8 m long and a bob with mass 0.5 kg. The string makes an angle of 20 degrees with the vertical down direction. How fast is the pendulum bob moving along its circular path, in m/s?

Answer 1