How do the physics laws apply to the roller coaster?

If the tracks tilt up, gravity applies a downward force on the back of the coaster, so it decelerates. Since an object in motion tends to stay in motion (Newton's first law of motion), the coaster car will maintain a forward velocity even when it is moving up the track, opposite the force of gravity.



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The speed is then obtained directly from the conservation of energy, i.e. mv2/2=mg h. At any given part of the frictionless roller coaster, the centripetal acceleration is thus given by ac= v2/r = 2gh/r where h is the distance from the highest point of the roller coasters and r is the local radius of curvature.

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When the coaster moves down a hill and starts its way up a new hill, the kinetic energy changes back to potential energy until it is released again when the coaster travels down the hill it just climbed. Gravity and inertia are big players when it comes to how you experience the ride.

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For a roller coaster, gravity pulls down on the cars and its riders with a constant force, whether they move uphill, downhill, or through a loop. The rigid steel tracks, together with gravity, provide the centripetal force needed to keep the cars on the arching path as they move through the loop.

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If you enjoy studying physics (and who doesn't), there are few more exhilarating classrooms than roller coasters. Roller coasters are driven almost entirely by basic inertial, gravitational and centripetal forces, all manipulated in the service of a great ride.

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Roller coasters are designed to run on two basic scientific principles: 1) gravity and 2) the transfer of energy. On Earth, gravity is the force that pulls objects toward the ground. The transfer of energy is what causes objects at rest to move and objects in motion to slow or stop.

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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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By the laws of conservation of energy and momentum, however, the total energy of the car cannot exceed the initial given energy. Hence, the first hill must always be the highest, and each subsequent hill cannot exceed the height of the one before it if the car is to successfully go over the peak.

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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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Friction against the track and air resistance act against inertia, so each subsequent hill is lower. Early coasters were very slow, so coasters were engineered for the illusion of speed through low hanging ceilings and deliberately swaying tracks.

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A roller coaster ride is a thrilling experience which involves a wealth of physics. Part of the physics of a roller coaster is the physics of work and energy. The ride often begins as a chain and motor (or other mechanical device) exerts a force on the train of cars to lift the train to the top of a very tall hill.

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The coaster will roll on indefinitely, or until of course the end of the track, where unbalanced forces like friction between the track and the wheels slow the coaster ultimately to a stop. The riders, which have inertia, are also acted on by unbalanced forces throughout the ride, causing them to change their motion.

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The roller coaster train reaches its maximum speed and maximum centripetal acceleration at the bottom of the loop, which can be obtained from energy considerations. In this way, the maximum centripetal acceleration is found to be 5g (upwards) at the bottom of a circular loop, if it is g downwards in the highest point.

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