BA ROLLING Measurement #1: Angle of Lift Hill = 250 Measurement #2: Lift Time = 32 seconds Question #1 The lift hill raises the rider a vertical height of 23 meters using a motor and chain. If the average rider's mass is 60 kg, how much work does the motor do on the rider? (a) 3000 J (b) 14,000 J (c) 25,000 J (d) 35,000 J (e) 50,000 J Question #2 Using the measured (or approximated) hill angle, calculate the approximate force that is exerted on the 60 kg rider to move them up the hill at constant speed. (a) 50 N (b) 250 N (c) 750 N (d) 1250 N (e) 1500 N Question #3 What is the approximate minimum amount of power that the motor must put out in order to deliver the 60 kg rider to the top of the lift hill in the amount of time you measured? (this is for a single rider - not the entire train) (a) 75 W (b) 450 W (c) 950 W (d) 1400 W (e) 2000 W Question #4 If the lift hill was steeper, how would the minimum power output required from the motor change? (Assume that the hill is still the same height and the time it takes to reach the top remains the same also) (a) less (b) more (c) same Question #5 Upon reaching the bottom of the first drop, the centripetal acceleration acting on a rider is about 27 m/s2. If the radius of curvature of the track at the bottom of this first drop is 23.5 meters, calculate the velocity of the rider at this point (a) 5 m/s (b) 15 m/s (c) 25 m/s (d) 35 m/s (e) 45 m/s 7