What does potential energy mean on a roller coaster?

In roller coasters, the two forms of energy that are most important are gravitational potential energy and kinetic energy. Gravitational potential energy is the energy that an object has because of its height and is equal to the object's mass multiplied by its height multiplied by the gravitational constant (PE = mgh).



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At the highest point on the roller coaster (assuming it has no velocity), the object has a maximum quantity of gravitational potential energy and no kinetic energy. As the object begins moving down to the bottom, its gravitational potential energy begins to decrease and the kinetic energy begins to increase.

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The roller coaster loses potential energy as it goes downhill. We neglect friction, so that the remaining force exerted by the track is the normal force, which is perpendicular to the direction of motion and does no work. The net work on the roller coaster is then done by gravity alone.

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Gravity applies a constant downward force on the cars. The coaster tracks serve to channel this force — they control the way the coaster cars fall. If the tracks slope down, gravity pulls the front of the car toward the ground, so it accelerates.

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At the bottom of the loop, gravity and the change in direction of the passenger's inertia from a downward vertical direction to one that is horizontal push the passenger into the seat, causing the passenger to once again feel very heavy.

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Most roller coaster rides begin with a lift hill, where a chain connects with the train and carries the riders to the first and tallest incline. As you reach the crest of the hill, the chain pushes the train over the hill. Gravity takes over and pulls the train down the hill into a controlled free fall.

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As you ride a roller coaster, its wheels rub along the rails, creating heat as a result of friction. This friction slows the roller coaster gradually, as does the air that you fly through as you ride the ride.

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The train of coaster cars speeds up as they lose height. Thus, their original potential energy (due to their large height) is transformed into kinetic energy (revealed by their high speeds).

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