1. A 1200 kg roller coaster is given an initial velocity of 28m/s (not the answer to problem 7) and travels uphill to aheight of 30m above the ground. What is the velocity at the top ofthe hill?

2. A 1200 kg roller coaster is given an initial velocity of 28m/s (not the answer to problem 7) and travels uphill to aheight of 30m above the ground, then drops to a height of 13m abovethe ground. What is the final velocity?

3. The speed of a 1200 kg roller coaster is clocked at 15 m/swhile at the top of hill of unknown height. To stop the ride, itruns into a large spring (k = 10000) and compresses it a distanceof 10m before locking in place (to keep it from springing back theother way). What was the height of the hill when its speed wasregistered?

4. A 1200 kg roller coaster is traveling at 10 m/s. What is themagnitude of its momentum?

5. A 1200 kg roller coaster is traveling at 10 m/s when thetrain breaks mid-ride. One third of it (400 kg) slows down to 6m/s. What is the velocity of the other two thirds (800 kg)?

6. A 1200 kg roller coaster train is traveling at 10 m/s when itcollides with another broken train of mass 1000kg (no people on it)that is at rest on the tracks. The two trains stick together(perfectly inelastic). What is the resulting velocity of thetwo-train combination?

7. A 1200 kg roller coaster is traveling at 10 m/s when itcollides with another broken train of mass 1000kg (no people on it)that is at rest on the tracks. The two trains bounce off each other(perfectly elastic). If the broken train (1000kg train) leaves at11 m/s, what is the resulting velocity of the 1200 kg train?