A roller coaster car with a mass of 1500kg starts out at point A with a speed of

Question

A roller coaster car with a mass of 1500kg starts out at point A with a speed of 4m/s. friction does -28884J of work on the car as it goes from A to B. how high can point B be if the car stops when it reaches point B? The diagram is not drawn to scale

A roller coaster car with a mass of 1500 kg starts out at point A with a speed of 4 m/s. Friction does-28884 J of work on the car as it goes from scale A to B. How high can point B be if the car stops when it reaches point B? The diagram is not drawn to 18 m Answer

Explanation / Answer

Applying work - energy theorem,

work done by gravity + work done by friction = change in KE

(1500 x 9.8 x (18 - h)) + (-28884) = 1500( vB^2 - vA^2) / 2

264600 - 14700 h - 28884 = 0 - (1500 x 4^2 / 2)

h = 16.85 m

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