Roller coaster work gravitational energy.

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tebes
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Homework Statement


a frictionless roller coaster car of mass m = 954 kg tops the first hill with speed v0 = 24.2 m/s at height h = 30.8 m. How much work does the gravitational force do on the car from that point to (a) point A. (same height)


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The Attempt at a Solution


One question is baffling me, do I need to include kinetic energy when calculating using the change of gravitational potential energy? Does it mean that question (a), work does by the gravitational force is zero ?
 
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tebes said:
One question is baffling me, do I need to include kinetic energy when calculating using the change of gravitational potential energy?
No.
Does it mean that question (a), work does by the gravitational force is zero ?
That's what I would say. Going from one point to another of equal height, the change in gravitational PE (and thus the work done by gravity) is zero.