What is Roller coaster: Definition and 228 Discussions
A roller coaster is a type of amusement ride that employs a form of elevated railroad track designed with tight turns, steep slopes, and sometimes inversions. People ride along the track in open cars, and the rides are often found in amusement parks and theme parks around the world. LaMarcus Adna Thompson obtained one of the first known patents for a roller coaster design in 1885, related to the Switchback Railway that opened a year earlier at Coney Island. The track in a coaster design does not necessarily have to be a complete circuit, as shuttle roller coasters demonstrate. Most roller coasters have multiple cars in which passengers sit and are restrained. Two or more cars hooked together are called a train. Some roller coasters, notably Wild Mouse roller coasters, run with single cars.
Homework Statement
THe length that the train is pulled up the lift hill is 120 meters. How much force did the lift chain apply to the coaster to pull it up the hill. Mass of the roller coaster = 4140 kg θ = 66°
Homework Equations
The Attempt at a Solution
I Tried F=ma to get...
Homework Statement
A roller coaster starts at the top of hill that is 10 m high. If it is to barely make it to the top of a second hill that is 20 m high, how fast must the initial speed of the roller coaster be? Assume that the roller coaster is frictionless.
Homework Equations
KE =...
Homework Statement
https://dl.dropbox.com/u/92857534/physicsproblem.png
Note: Solving for part D and EHomework Equations
Unsure. Langauge in the problem seems ambiguous.
Perhaps (KE + PE)b = (KE + PE)a
The Attempt at a Solution
So I think it's done this way.
From A to B and B to C, the...
Homework Statement
A roller coaster car (m = 750kg with passengers) starts with near zero velocity at the top of a 80m section of track that is inclined at -38 degrees from the horizontal. During the descent the average drag force acting on the car is 550 N. At the bottom of the descent is a...
Homework Statement
1.What is the highest potential energy?
2.What is the biggest change in kinetic energy?
3.If the track is only designed to uses electricity to pull the cars up the first incline, does the rollercoaster experience conservation of mechanical energy? Explain your...
Homework Statement
passengers cannot have a normal force equal to 0 or greater than 4 times their weight. What are the heights H1 and H2. Coaster starts at H1 and and ends at H2. H1>H2 and there is a low point between the two hills defined as zero height. The radius of the curve at the...
1. A diagram of a roller coaster is given. In the diagram, there are 3 humps in the track. At the top of the first hump(point A) the height is 60m from the ground. Point B is at the bottom of point A and is 5m below the ground. (height from point A to B is -65m). From point B to point C is 64m...
Homework Statement
You're at the amusement park and your friend wants to go on the "Barrel of Fun," where the ride is a cylinder with a vertical axis. You stand against the wall and after the ride is spinning fast enough, the floor drops out beneath you. What is the minimum coefficient of...
Homework Statement
A 120 pound person is sitting on a scale during a roller coaster ride. As the roller coaster goes over the top of a curve whose radius is 30 feet, the scale indicates a force of 25 pounds. The average speed of the roller coaster doesn't change while over this curve...
Homework Statement
Homework Equations
KE= 1/2 m v2
PE = mgy
The Attempt at a Solution
I'm not sure how to start this because there is no given mass. If I use a kinematics equation I don't have an acceleration.
Homework Statement
You have taken a job as senior
hench-person with Dr. Caasi Notwen, arch-nemesis of
James Bond. As with all of Bond’s enemies, Dr. Notwen
would like to develop an overly complicated method of
dispatching the British super-spy, so he has tasked you
with designing a...
Homework Statement
Homework Equations
ƩF = ma = (mv2) / r
The Attempt at a Solution
For part A:
Fn - Fg = (mv2) / r
Fn = ((mv2) / r ) + mg
Fn = (500x20^2) / 10 + 500x9.8
Fn = 24900
This seems too high to be true. But I'm unsure of what I did wrong. I know the normal force...
Homework Statement
The radius of curvature of a loop-the-loop for a roller coaster is 14.0 m. At the top of the loop, the force that the seat exerts on a passenger of mass m is 0.35mg. Find the speed of the roller coaster at the top of the loop. (Enter your answers from smallest to largest.)...
Homework Statement
http://img684.imageshack.us/img684/4316/capturerey.jpg
Homework Equations
The Attempt at a Solution
I am completely stuck on this. I thought I would use W=F=ma, but that wouldn't take the height into account. Any help would be greatly appreciated
Homework Statement
A roller coaster begins with a 90m hill followed by a 40m diameter loop. Unfortunately, the coaster hits a 20m long rough patch between the bottom of the hill and the loop. If the friction on the rough patch is .8, then can a roller coaster make it through the loop...
Homework Statement
A roller coaster rider has a mass of 80 kg and is riding in the coaster shown in the figure. If the vehicle has a speed of 10.0 m/s at the top of the first hill (assume same height as the top of the circle above Point A):
a) how "heavy" does the rider feel at point A?
b)...
Homework Statement
The PDF graph shows the g-force values of a roller coaster at specific times during the ride. The normal g-force value during this assignment is -1 because the acceleration due to gravity on Earth is -10 m/s^2. We have to assign each time value from the PDF graph to...
I have a physics assignment. Part of it is to calculate the speed throughout the rollercoaster and to not exceed 4.5g's of force. Anyway, I'm calculating the speed of the rollercoaster using the formula
0=g(h2-h1)+0.5(v2^2-v1^2)+μNd
(I have already simplified to not include the mass...
first off: hello, I'm new here.
Homework Statement
This is more of a personal quest than homework, a problem that I made into homework for myself. I set out to determine the equation(s) needed to determine speeds on a mountain bike at the bottom of dirt hills of varying grades and lengths...
Homework Statement
A roller coaster is moving past the top of a loop of diameter 14m. The Normal force (directed downwards) provided by the track at the top of the loop is equal to one-half the [B]weight[B] of the car. What is the speed of the coaster car at this point?Homework Equations
Only...
The attached problem has clearly confused me. I tried solving it, but I get to a point where I can't go any further. If someone could point me in the right direction I appreciate it. Also the calculations topwards the bottom of the page are from me attempting to solve.
Thanks in advance
For my grade 12 physics class, we need to build a roller coaster. We are given a marble weighing 5 grams and it must be projected at the end of the track. It needs to land 0.5 m at a target when it is projected. Since the coaster is made entirely by myself the ramp in which it will be projected...
Homework Statement
When riding a roller coaster, when you enter a double helix why does it feel as if you're speeding up? I'm in the rotational dynamics section, so the answer will most likely be about Conservation of Angular Momentum or something along those lines. I am really interested but...
Homework Statement
In a certain loop-the-loop roller coaster ride, the coaster is given an intial speed of v ms-1. The coaster then rolls freely under the influence of gravity. The coaster travels down a 10m high slope before arriving at the start of the loop. It then travels the loop which...
An explanation of how the ride uses forces and motion. What makes the motion start? What makes it stop? Does the ride move down? What force causes this motion? Does friction affect the ride? Where and how does the ride accelerate?
[b]1. Homework Statement [/b
]Here’s what you know: Mass is 750 Kg, Velocity is 20 m/s, Gravity remains at 10 m/s2 and Point B’s height is 15 m. Assume that Point A is the highest point and assume there is no friction for this problem.
Complete in the order that makes the best sense to...
Hello
I have a problem with this exam question does anyone now the solution.
Homework Statement
A roller coaster car has a mass of 800 kg.
The gravitational field strength is 10 N/kg.
It takes 20 s for the car to reach K from the start.
What is the average power required to raise...
Homework Statement
Suppose the vertical loop has a radius of 6.81 m. What is the apparent weight (Wap) of a rider on the roller coaster at the bottom of the loop? (Assume that friction between roller coaster and rails can be neglected. Give your answer in terms of m and g.)
R = 6.81 m...
Help me here.
I need to figure out how to launch a marble so it navigates a vertical loop, then follows projectile motion at the end of the loop
The design must use elastic potential energy to do this and must consistantly launch it consistantly to a specifyied location.
I can't figure...
Homework Statement
A 1000kg roller coaster, with its passengers, starts from rest at point A( h= 9.5 m) on a friction track whose profile is shown in the diagram above at right.
a) what is its maximum speed?
b) with what speed does the roller coaster arrive at point e?
c) What constant...
Homework Statement
a frictionless roller coaster car of mass m = 954 kg tops the first hill with speed v0 = 24.2 m/s at height h = 30.8 m. How much work does the gravitational force do on the car from that point to (a) point A. (same height)
Homework Equations
The Attempt at a...
Homework Statement
A roller-coaster car starts from rest at a high point 2 times as high as the top of the loop-the-loop. When it is just about to enter the loop from the bottom, a 100 lb bag of bricks fall on the car, causing it to lose 25% of its speed. Neglecting friction, do you think the...
Homework Statement
A roller coaster travels on a frictionless track as shown in the figure.
(a) If the speed of the roller coaster at Point A is 5.0 m/s, what is its speed at Point B?
(b) Will it reach Point C?
(c) What speed at Point A is required for the roller coaster to reach Point...
A roller caoster track has a hill with a circular curve of radius 20m. Determine the greatest speed that the roller coaster can travel at the top of the curve and not leave contact with the track.
I've got an answer to a question but I'm not sure if it's correct as i don't have the answers.
A roller coaster train is propelled at 57m/s and towards a vertical part of track which has a height of 139m, what is the velocity of the roller coaster train when it reaches the top of the tower...
Homework Statement
The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a 46m--diameter loop-the-loop.
Homework Equations
What is the car's speed at the top?
The Attempt at a Solution
the answer is in m/s
I have several...
Homework Statement
Consider a frictionless roller coaster such as
depicted below.
The acceleration of gravity is 9.8 m/s2.
Passenger cars start at point A with zero
initial speed, accelerate as they go down to
point B, swing around the circular vertical
loop B ! C ! B of radius 30 m...
Homework Statement
A roller coaster is at the top of a slope moving very slowly. There are three lengths in this problem: h = 53 m is the height of the hill; D = 65 m is the length of the hill; L = 43 m is the length of the coaster. Derive an equation for the speed v1 when the first car...
Homework Statement
Part of a roller-coaster ride involves coasting down an incline and entering a loop 8.00 m in diameter. For safety considerations, the roller coaster speed at the top of the loop must be such that the force of the seat on a rider is equal in magnitude to the rider's weigt...
A roller coaster (475kg) passes point C with a velocity of 10.0 ms-1, calculate the velocity of the roller coaster at point A.
mass = 475 kg
velocity at C = 10 ms-1
height at A = 30m
height at B = 0m
height at C = 25m
height at D = 12m
Ep = mgh
Ek = 1/2mv^2
The trolley is moving...
A roller coaster trolley and its passengers have a mass 840 Kg. The trolly comes over the top of the first hill with a speed of .200 m/s. The hill is 85.0 m above the ground. The trolley goes down the first hill and up the crest of the second hill 64.0 m above ground. Ignore the effects of...
I need some suggestions for how to create a model roller coaster that does not use additional energy (electricity, or touching the model in progress ) and can re-run the entire model twice.
Since creating a perpetual device with 100% efficiency is unfeasable, my instructor was generous enough...
A roller coaster car of mass 960 kg starts at a distance of H = 20 above the bottom of a loop 12 m in diameter. If the friction in negligible, find the normal force of the rails on the car when i it is a) pside down the top of the loop and b) at the bottom of hte loop
i have no idea how to do...
Hey guys!
Long time reader, first time poster. I have a lab that I'm trying to get done in Calculus 1 and I'm having a some problems. The basic idea is to come up with 2 equations that compliment a graph and are continuous.
Homework Statement
You are to design a small section of a...
I got a question:
If a roller coaster is going up the hill (potential energy) then when it goes down it gets converted into kinetic energy by gravity right?
Also As you go down the first big drop of the roller coaster (gravity going downwards 9.81 m/s2) how does acceleration come in play...
Not using template since it doesn't really fit.
I have to build a rollercoaster for school (grade 12) and it's due at the end of the month. There's no restrictions, so you can build it using whatever materials and such that you want.
It's graded based on loops and hills. Every loop is 20%...
Homework Statement
I performed an experiment with a plastic tube and a ball. The tube was shaped into a roller coaster track with a circular vertical loop of diameter 0.12 m. I have to calculate the centripetal acceleration of the ball while in motion within the loop. I have only studied...
Homework Statement
Imagine there is a piece of sine-shaped rollercoaster track. We compare trains of different length which all have the same average speed riding over the track. If all friction is neglected, is the difference between the maximum and minimum speed:
A. bigger for longer trains...