10 m. (6) 15. A roller coaster is about to go over the top of a hill at point C as shown above. The hill is a section of a circle with radius 10 m. A) Draw a free body diagram of the forces that would be acting on the coaster at point C on the picture shown below and right. B) Write the equation that you would use to calculate the centripetal force acting on the coaster based on the free body diagram that you drew. Fc = C) If the coaster was travelling at the critical speed it would just about fly off the top of the hill. i) Is this critical speed the only allowed speed, the minimum allowed speed, or the maximum allowed speed to prevent this from happening? ii) Calculate the critical speed for this hill.

University Physics Volume 1
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Chapter13: Gravitation
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Problem 16P: A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00 of his weight....
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10 m.
15. A roller coaster is about to go over the top of a hill at point C as shown above. The hill is a
section of a circle with radius 10 m.
A) Draw a free body diagram of the forces that would be acting
on the coaster at point C on the picture shown below and right.
B) Write the equation that you would use to calculate the
centripetal force acting on the coaster based on the free body
diagram that you drew.
Fc =
C) If the coaster was travelling at the critical speed it would just
about fly off the top of the hill.
i) Is this critical speed the only allowed speed, the minimum
allowed speed, or the maximum allowed speed to prevent this
from happening?
ii) Calculate the critical speed for this hill.
Transcribed Image Text:10 m. 15. A roller coaster is about to go over the top of a hill at point C as shown above. The hill is a section of a circle with radius 10 m. A) Draw a free body diagram of the forces that would be acting on the coaster at point C on the picture shown below and right. B) Write the equation that you would use to calculate the centripetal force acting on the coaster based on the free body diagram that you drew. Fc = C) If the coaster was travelling at the critical speed it would just about fly off the top of the hill. i) Is this critical speed the only allowed speed, the minimum allowed speed, or the maximum allowed speed to prevent this from happening? ii) Calculate the critical speed for this hill.
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