Work and Energy Type Question: A rollercoaster comprises a complex path of varying slopes using a frictionless rail. The coaster begins with a 60 m powered rise, after which the carriages are released and travel the length of the track with no external power. At the track's lowest point, it is 10 m below ground level. a. What is the maximum velocity of the rollercoaster during its run. b. The highest point after the start is 55 m above ground level, where the track runs level for 20 m. How long does it take the carriages to cover this section? c. The roller coaster contains a loop which has its base at ground level. What is the maximum diameter of the loop such that the carriages will not detach from the track at the top of the loop? d. What would be the maximum g-force experienced by passengers as they travel round this loop? e. The steepest drop on the track has a gradient of 6:1. What is the acceleration at this point? f. It is discovered that over this part of the track, the cars are experiencing friction forces of 100 N. If the length of this drop is 40 m, what is the total work done on a carriage weighing 200 kg?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need answer to part d , e and f
To-19
T
XC
1. Work and Energy Type Question: A rollercoaster comprises a complex path of varying slopes
using a frictionless rail. The coaster begins with a 60 m powered rise, after which the
carriages are released and travel the length of the track with no external power. At the
track's lowest point, it is 10 m below ground level.
a. What is the maximum velocity of the rollercoaster during its run.
b.
The highest point after the start is 55 m above ground level, where the track runs
level for 20 m. How long does it take the carriages to cover this section?
c.
The roller coaster contains a loop which has its base at ground level. What is the
maximum diameter of the loop such that the carriages will not detach from the track
at the top of the loop?
d.
What would be the maximum g-force experienced by passengers as they travel
round this loop?
e. The steepest drop on the track has a gradient of 6:1. What is the acceleration at this
point?
f.
It is discovered that over this part of the track, the cars are experiencing friction
forces of 100 N. If the length of this drop is 40 m, what is the total work done on a
carriage weighing 200 kg?
Transcribed Image Text:To-19 T XC 1. Work and Energy Type Question: A rollercoaster comprises a complex path of varying slopes using a frictionless rail. The coaster begins with a 60 m powered rise, after which the carriages are released and travel the length of the track with no external power. At the track's lowest point, it is 10 m below ground level. a. What is the maximum velocity of the rollercoaster during its run. b. The highest point after the start is 55 m above ground level, where the track runs level for 20 m. How long does it take the carriages to cover this section? c. The roller coaster contains a loop which has its base at ground level. What is the maximum diameter of the loop such that the carriages will not detach from the track at the top of the loop? d. What would be the maximum g-force experienced by passengers as they travel round this loop? e. The steepest drop on the track has a gradient of 6:1. What is the acceleration at this point? f. It is discovered that over this part of the track, the cars are experiencing friction forces of 100 N. If the length of this drop is 40 m, what is the total work done on a carriage weighing 200 kg?
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