A 1500 kg roller coaster (including riders) starts from rest at a height of 25 m. Itgoes down a hill and into a circular loop that is 10 m high. When it comes out of theloop, it encounters friction (µk=0.5) for 30 m to slow it down before going up an8.0m rise and stopping by compressing a spring 2.0 m.Point 1a. Make a table for each labeled point 1-7similar to the one shown anddetermine the kinetic energy,gravitational potential energy, springpotential energy, and total mechanicalenergy (K+Us+Ug) assuming energyconservation in the system at eachpoint.b. What is the speed of the roller coasterat points 3, 4, 5, and 6c. As the roller coaster goes into the circular loop at the bottom, what is theKineticEnergyGravitationalPE|Spring PEMechanicalEnergyforce 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 thetop of the loop (point 3)?e. Find the spring constant of the spring?136 7frictiony=0 m2

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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 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.

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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Chapter1: Units, Trigonometry. And Vectors

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Question

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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