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A 1200-kg frictionless roller coaster starts from rest at a height of 24 m. What is its kinetic energy when it goes over a spot that is 12 m high?

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PE=€mgh=1200 * 9.8 * 24=282,240 Joules.

KE = 0.

PE + KE = 282,340 J.

PE = 1200 * 9.8 * 12=141,120 J. @ 12 m.
141,120 + KE = 282,240
KE = 282,240 - 141,120 = 141,120 J.

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