In the figure, a frictionless roller coaster car of mass m = 637 kg tops the fir

Question

In the figure, a frictionless roller coaster car of mass m = 637 kg tops the first hill with speed v0 = 19.3 m/s at height h = 37.2 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A?

In the figure, a frictionless roller coaster car of mass m = 637 kg tops the first hill with speed v0 = 19.3 m/s at height h = 37.2 m. How mu ch work does the gravitational force do on the car from that point to (a) point A, (b) point B, and © point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A?

Explanation / Answer

a) Wg = 0

b) Wg = m*g(h-(h/2))= 637*9.8*(37.2/2)= 116112.36 J

c) Wg = m*g*(h-0) = m*g*h = 232224.72 J

d) PE = m*g*h/2 = 116112.36 J

e) PE = m*g*h = 232224.72 J

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