How Does the Cyclone Roller Coaster at Six Flags Use Physics Principles?

[rottentreats64]

4. At Six Flags in Massachusetts, a ride called the Cyclone is a giant roller coaster that ascends a 34.1m hill and then drops 21.9m before ascending the next hill. The train of cars has a mass of 4727kg.

a. how much work is required to get an empty train of cars from the ground to the top of the first hill?

b. what power must be generated to bring the train to the top of the first hill in 30.0s?

c. how much PE is converted into KE from the top of the first hill to the bottom of the 21.9m drop?

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4. For this problem I used w=f*d but I needed to find out the force to find the work. So I did f=m*aà f=(4727)*-10(gravity) -47270. Then I just plugged in the force for the work equation and found out that the work required is -1611907 j .For part b I just used the power equation (work/time) therefore (5388.78*34.1)/(30) and you get the answer 6125.2466. For part c i don't know what to do

 

[Andrew Mason]

4. At Six Flags in Massachusetts, a ride called the Cyclone is a giant roller coaster that ascends a 34.1m hill and then drops 21.9m before ascending the next hill. The train of cars has a mass of 4727kg.

a. how much work is required to get an empty train of cars from the ground to the top of the first hill?

b. what power must be generated to bring the train to the top of the first hill in 30.0s?

c. how much PE is converted into KE from the top of the first hill to the bottom of the 21.9m drop?

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4. For this problem I used w=f*d but I needed to find out the force to find the work. So I did f=m*aà f=(4727)*-10(gravity) -47270. Then I just plugged in the force for the work equation and found out that the work required is -1611907 j .For part b I just used the power equation (work/time) therefore (5388.78*34.1)/(30) and you get the answer 6125.2466. For part c i don't know what to do

If you are going to round off g to 10 you are going to have to round it off to 1.6e6 J.

For part c, what is the height difference between the two points? What is the PE of a mass at height h relative to another point?

AM

 

[m2003]

I can provide a more detailed and precise response to this content. Work, power, and energy are all related concepts that describe the physical processes involved in moving objects. Work is defined as the force applied to an object multiplied by the distance it is moved. In this case, the work required to get the empty train of cars from the ground to the top of the first hill can be calculated by multiplying the force of gravity (4727 kg * 10 m/s^2) by the distance of 34.1m, resulting in a work of -1611907 joules (J). The negative sign indicates that work is being done against the force of gravity.

Power, on the other hand, is the rate at which work is done or energy is transferred. It is calculated by dividing work by time. In this scenario, the power required to bring the train to the top of the first hill in 30.0 seconds is 6125.2466 watts (W).

Finally, energy is the ability to do work and is measured in joules (J). In this case, potential energy (PE) is converted into kinetic energy (KE) as the train descends from the top of the first hill to the bottom of the 21.9m drop. The amount of PE converted into KE can be calculated by subtracting the PE at the top of the first hill (mgh = 4727 kg * 9.8 m/s^2 * 34.1m = 1611907 J) from the KE at the bottom of the drop (1/2mv^2 = 1/2 * 4727 kg * (2gh)^2 = 998774.8 J), resulting in a difference of 612132.2 J.

In conclusion, work, power, and energy are all important concepts in understanding the physical processes involved in moving objects. By using these equations and understanding their relationship, we can better analyze and predict the movements of objects, such as the train on the Cyclone roller coaster at Six Flags.