A roller coaster is moving at 22 m/s at the top of the first hill (h= 47 m). Ignoring friction and air resistance, how high will the roller coaster be when moving at 37 m/s on the top of the top of a subsequent hill?

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A roller coaster is moving at 22 m/s at the top of the first hill (h = 47 m). Ignoring friction and air resistance, how high will the roller coaster be when moving at 37 m/s on the top of a subsequent hill?
Transcribed Image Text:A roller coaster is moving at 22 m/s at the top of the first hill (h = 47 m). Ignoring friction and air resistance, how high will the roller coaster be when moving at 37 m/s on the top of a subsequent hill?
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The given roller coaster moves at a speed of 22 m/s when it is at the top of the first hill, at a height of 47 m from the ground.

The total energy of the roller coaster at this point is equal to the sum of the kinetic and potential energies at this point, which is

E1=K1+P1K1=12mv12P1=mgh1m is the mass of the coasterv1 is the velocity at point 1g is acceleration due to gravityh1 is the height of the first hillE1=12mv12+mgh1

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