4. An 8000 kg roller coaster, traveling along the frictionless track shown, has velocity v, = 30 mi/hr at the point shown. В h/2 A) Given that h = 20 meters is also the horizontal distance between points A and B, make a plot of the potential energy vs. horizontal distance that includes axes with numbers and units. B) Make a plot of the kinetic energy of the coaster vs. horizontal distance that includes axes with numbers and units. C) Calculate its velocity at point B. D) With the same initial condition of v, = 30 mi/hr, suppose the track does have friction and by the time the coaster reaches point B it has a speed of 15 mi/hr. How much work has the force of friction done from the initial point to this point? E) If it takes the coaster 10 seconds to go from its initial point to point B, what is the average power loss experienced by the coaster due to friction in Watts? F) Explain why in these calculations, one does not need to account for work done by the normal force on the coaster.

College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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Chapter5: Energy
Section: Chapter Questions
Problem 4P: a shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 below the...
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#4 A-C
4. An 8000 kg roller coaster, traveling along the frictionless track shown, has velocity v, = 30 mi/hr at
the point shown.
vo
B
h/2
A) Given that h = 20 meters is also the horizontal distance between points A and B, make a plot of
the potential energy vs. horizontal distance that includes axes with numbers and units.
B) Make a plot of the kinetic energy of the coaster vs. horizontal distance that includes axes with
numbers and units.
C) Calculate its velocity at point B.
D) With the same initial condition of v, = 30 mi/hr, suppose the track does have friction and by the
time the coaster reaches point B it has a speed of 15 mi/hr. How much work has the force of
friction done from the initial point to this point?
E) If it takes the coaster 10 seconds to go from its initial point to point B, what is the average power
loss experienced by the coaster due to friction in Watts?
F) Explain why in these calculations, one does not need to account for work done by the normal
force on the coaster.
Transcribed Image Text:4. An 8000 kg roller coaster, traveling along the frictionless track shown, has velocity v, = 30 mi/hr at the point shown. vo B h/2 A) Given that h = 20 meters is also the horizontal distance between points A and B, make a plot of the potential energy vs. horizontal distance that includes axes with numbers and units. B) Make a plot of the kinetic energy of the coaster vs. horizontal distance that includes axes with numbers and units. C) Calculate its velocity at point B. D) With the same initial condition of v, = 30 mi/hr, suppose the track does have friction and by the time the coaster reaches point B it has a speed of 15 mi/hr. How much work has the force of friction done from the initial point to this point? E) If it takes the coaster 10 seconds to go from its initial point to point B, what is the average power loss experienced by the coaster due to friction in Watts? F) Explain why in these calculations, one does not need to account for work done by the normal force on the coaster.
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