Question

You are riding the new rollercoaster Fizzix Phun at your local amusement park. The technician with a mass of 100kg clears your car for 'takeoff'. The rollercoaster car full of people with a mass of 1000 kg is pulled up the initial hill by a lift device. The maintenance stairs up to the top of the hill consists of 11 flights of 30 stairs each wherein a single stair is 10cm high. The drop down the first hill is terrifyingly perpendicular to the ground. You drop down the first hill all the way to the ground and go through a perfectly circular vertical loop with 40% the height of the initial hill. After the vertical loop is a similarly shaped horizontal loop on the ground. This is banked to reduce the parallel shearing forces on the track leaving only the perpendicular supportive force on the car. At the end of the ride is a braking section which slows you to a stop over a distance of 8m. The rollercoaster is relatively frictionless except for the braking section. There are 4.184J in a calorie.

1. If the technician has to climb to the top of the first hill because a car gets stuck at the top and his body is 36% efficient, how many kcalories (Cal) does the technician burn climbing the stairs?

2. With what power in Watts does the GPE at the top of the first hill turn into KE at the bottom?

3. What is the maximum velocity of the coaster in m/s?

4. What is the speed at the top of the loop in m/s?

5. How much braking force must be exerted in Newtons?

Answer 1

2 2.6 1 000 к 9,7866 86.6 N