Why is the second hill on a roller coaster never as high as the first?

(d) Due to frictional lost, the mechanical energy of the coaster has decreased, so the second hill has to be lower than the first one. Fig. 3 According to Newton's 1st law, if there is no external force, the roller coaster would move uniformly in a direction tangential to the rail.



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Because of friction between the coaster cars and the track (not to mention air resistance as the cars move forward at great speed), the amount of mechanical energy available decreases throughout the ride, and that is why the first hill of a roller coaster must always be the tallest.

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Roller coasters almost always begin with an initial vertical drop. A motor hauls the cars to the top of a high hill and from that point on gravity is doing all the work. Typical vertical drops might range in height from 50 - 80 meters.

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I the height of the second hill is higher than the first one, then it needs additional energy to climb the second hill. The coaster keeps on losing energy from air resistance and rolling friction between the rails and the coaster wheels and will eventually come to rest.

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Basic mathematical subjects such as calculus help determine the height needed to allow the car to get up the next hill, the maximum speed, and the angles of ascent and descent. These calculations also help make sure that the roller coaster is safe. No doubt about it--math keeps you on track.

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Suggested answer: Roller coaster designers include a second hill to build up more potential energy that can be converted to kinetic energy as the roller coaster goes down the hill. If there were only one hill, the ride would have less energy and would be shorter.

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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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It is impossible for the back of the train to exceed the speed of the front, because all of the cars are connected. However, the back may feel faster than the front at some points, due to the front pulling it. If the front is already going down a drop, than it is going to whip the back over the crest faster.

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This places some limits on the design. For example, the coaster car can't go through a loop or over a hill that is taller than the initial hill because going higher would require more energy than it has available. If the track is too long, friction might eventually cause the coaster car to come to a complete stop.

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It suggests that the chances of being killed on a rollercoaster are just one in 170 million, while the injury odds are approximately one in 15.5 million.

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Different types of brakes are used to stop the train at the end of a ride. These brakes use friction to slow down and stop a roller coaster's momentum by converting the train's kinetic energy into heat energy. For example, roller coasters are kind of like riding your bike down a hill.

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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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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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TMNT Shellraiser at 121.5 degrees It tops the list by dropping a mere half of a degree more than the coasters that follow it. To make the ride even more interesting, its cars hang over the edge of its 141-foot tower for 14 seconds before diving into the overbanked drop.

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Lift hills usually propel the train to the top of the ride via one of two methods: a chain lift involving a long, continuous chain which trains hook on to and are carried to the top; or a drive tire system in which multiple motorized tires (known as friction wheels) push the train upwards.

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The purpose of the coaster's initial ascent is to build up a sort of reservoir of potential energy. The concept of potential energy, often referred to as energy of position, is very simple: As the coaster gets higher in the air, gravity can pull it down a greater distance. You experience this phenomenon all the time.

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