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Physics In Roller Coaster
Transcript of Physics In Roller Coaster
History of Roller Coaster
Roller Coasters started from ice slides that were popular in Russia in the 16th and 17th centuries. The idea of ice slides was then imported into France. Later on, French expanded the idea with multiple cars and the twists and turns. This idea soon spread all over the world. The first American roller coaster, Mauch Chunk Switchback Railway, was built in Pennsylvania in mid-1800s.
History of Roller Coaster
Mauch Chunk Switchback Railway
Ice slides in Russia in 1600s
"Amusement Park Physics -- Free Fall." Amusement Park Physics -- Free Fall. N.p., n.d. Web. 05 Jan. 2014.
Fuller, Simon. "The Effects on the Body of Riding Roller Coasters." EHow. Demand Media, 06 Apr. 2011. Web. 07 Jan. 2014.
Harris, Tom. "How Roller Coasters Work" HowStuffWorks.com. 09 August 2007. Web.17 December 2013
Myhr, Franklin Henry, Ph.D. "Gravitational Energy." Gravitational Energy. N.p., 28 Sept. 2000. Web. 05 Jan. 2014.
by Leann Liu and Selena Chiang
Kinetic Energy and Potential Energy
F = G
When the roller coaster is at the highest point, it has gravitation energy The gravitaional force is then turned into kinetic energy when the roller coaster comes down the hill and when it goes up the second hill, the kinetic energy gets turned into gravitational energy again. The second hill must be lower than the first because the kinetic energy at the bottom of the first hill is less than the gravitational energy at the top of the first hill. If the second hill has the same height with the first hill, the roller coaster is going to reach the top of the second hill, then start falling backwards.
E = mgh
The roller coaster first go up to the top then plunge downwards. According to Galileo and Newtown, the roller coaster accelerates at the same rate regardless of the number of people on it. It is designed to stop slowly after the plunge because riders can get injured if the roller coaster stops suddenly at the accelerated speed. Roller Coaster designers end the ride with tracks that curve toward the ground so that the roller coaster can slow down.
While the chain added the energy to lift the cart to the highest hill, the potential energy reached it's highest point. However, no matter how the loop twists or turns, it can never designed any higher then the first hill. Due to the friction of the wheel and the loop, some of the energy transferred into heat. However, according to the conservation of mechanical energy, the total energy before going down the hill will be the same as after
going down the hill.
lose PE gain KE
Roller Coaster In Modern Life
We often see roller coasters in amusement parks. Psychology is also applied to the question why people like to ride roller coasters; Just by lining up the queue, people might feel scared and worried. However, as people get onto the ride, the adrenaline from the fear will be sent the pleasure center of our brains. The adrenaline can sometimes be good to our bodies. After finishing the ride, people feel relieved and want to play again because it makes them happy.
the potential energy on the A point was :
PE = mgh = 10 x 9,81 x 40 = 3924 J
the kinetic energy on the lowest point was equal to he point A
the total energy of the point B was as same as point A
the sum of PE and KE of point B is 3924 J
PE = mgh = 10 x 9.81 x 25 = 2452.5 J
The formula of the Potential Energy and the Kinetic Energy
Potential Energy :
Kinetic Energy :
Conservation of mechanical energy :
Although the effect of roller coasters to our bodies might be good, it also has side effects. For example, the result of increasing heart rate might lead to irregular heatbeat and it is very dangerous to people who have heart problems and might suffer from a serious heart attack.
We could calculate the potential energy on the highest point and according to the conservation of energy, we could calculate the speed from the kinetic energy on the lower point.
On the roller coaster, people have the inertia of keep going forward. However, when the loop comes to a circle, people on the cart will experience the centripetal force by the cart while the cart experience the force by the loop.
Fc = m x v / r
v = 17 m/s
KE = 0.5mv = 3924 - 2452.5 = 1471.5J