A 1500 kg roller coaster (including riders) starts from rest at a height of 25 m. It goes down a hill and into a circular loop that is 10 m high. When it comes out of the oop, it encounters friction (µk=0.5) for 30 m to slow it down before going up an 3.0m rise and stopping by compressing a spring 2.0 m.

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Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
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A 1500 kg roller coaster (including riders) starts from rest at a height of 25 m. It
goes down a hill and into a circular loop that is 10 m high. When it comes out of the
loop, it encounters friction (µk=0.5) for 30 m to slow it down before going up an
8.0m rise and stopping by compressing a spring 2.0 m.
Point 1
a. Make a table for each labeled point 1-7
similar to the one shown and
determine the kinetic energy,
gravitational potential energy, spring
potential energy, and total mechanical
energy (K+Us+Ug) assuming energy
conservation in the system at each
point.
b. What is the speed of the roller coaster
at points 3, 4, 5, and 6
c. As the roller coaster goes into the circular loop at the bottom, what is the
Kinetic
Energy
Gravitational
PE
|Spring PE
Mechanical
Energy
force exerted on the roller coaster by the track?
d. What is the force exerted on the roller coaster by the track when it is at the
top of the loop (point 3)?
e. Find the spring constant of the spring?
1
3
6 7
friction
y=0 m
2
Transcribed Image Text:A 1500 kg roller coaster (including riders) starts from rest at a height of 25 m. It goes down a hill and into a circular loop that is 10 m high. When it comes out of the loop, it encounters friction (µk=0.5) for 30 m to slow it down before going up an 8.0m rise and stopping by compressing a spring 2.0 m. Point 1 a. Make a table for each labeled point 1-7 similar to the one shown and determine the kinetic energy, gravitational potential energy, spring potential energy, and total mechanical energy (K+Us+Ug) assuming energy conservation in the system at each point. b. What is the speed of the roller coaster at points 3, 4, 5, and 6 c. As the roller coaster goes into the circular loop at the bottom, what is the Kinetic Energy Gravitational PE |Spring PE Mechanical Energy force exerted on the roller coaster by the track? d. What is the force exerted on the roller coaster by the track when it is at the top of the loop (point 3)? e. Find the spring constant of the spring? 1 3 6 7 friction y=0 m 2
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