A 1100-kg roller coaster car is initially at the top of a rise, at point circle

Question

A 1100-kg roller coaster car is initially at the top of a rise, at point circle A. It then moves 115 ft, at an angle of 40.0 degree below the horizontal, to a lower point circle B. (a) Choose the car at point circled B 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 circled A and circled B , and the change in potential energy as the coaster moves between these points. (b) Repeat part (a), setting the zero configuration with the car at point circled A.

Explanation / Answer

a)Ua=mgh=1100*9.81*115*Sin40*12*0.0254=2.43*10^5J

Ub=0

Change in potential energy=-2.43*10^5J

b)Ua=0

Ub=-1100*9.81*115*Sin40*12*0.0254=-2.43*10^5J

Change in potential energy=-2.43*10^5J

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