A 900-kg roller coaster car is initially at the top of a rise, at point. It then

Question

A 900-kg roller coaster car is initially at the top of a rise, at point. It then moves 125 ft, at an angle of 40.0 degree below the horizontal, to a lower point Choose the car at point to be the zero configuration for gravitational potential energy of the roller coaster? Earth system. Find the potential energy of the system when the car is at points and , and the change in potential energy as the coaster moves between these points. Repeat part (a), setting the zero configuration with the car at point

Explanation / Answer

a) As L = 125 feet = 38.2 meter

The vertical height of a from b (h) = L x sin40* = 38.2x 0.64 = 24.44m

PE at a = mgh = 900 x 9.8 x 24.44 = 215560 J

PE at b = 0

=>delta PE = PE(final) - PE(initial) = -215560 J

(b) PE at a =0

PE at b = -215560 J

=>delta PE = PE(final) - PE(initial) = -215560 J

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