The Tower of Doom, at Elitch Gardens in Denver, Colorado, lifts 12 people 60 meters into the air. The engineers assume the average person has a mass of 60 kg.
A. How much rider weight does the ride lift into the air? (Neglect the weight of the cars.) (4 points)
B. How much force must the ride produce to do this? (4 points)
C. How much work does the ride do to lift the riders up to a height of 60 meters? (4 points)
D. How much work is done by gravity as the riders are lifted to a height of 60 meters? (4 points)
E. What is the potential energy of a single, average-weight person at the top of the ride? (4 points)
F. If the ride slows from its maximum speed of 30 m/s to zero in 2 seconds, how much power did it take? Hint: Use the combined mass of all 12 riders. (4 points)