Consider the diagram for question 2. A person of mass 70.5 kg is on a roller coaster at the top of the first hill with speed 4.29 m/s. The top of the first hill is at a height of 20.4 Im above the ground. Position B is situated atop a hill that we can approximate using a circle of radius 13.9 m. At B, the person experiences a net force precisely equal to the force of gravity, Fg = mg[down]. Througout the ride, assume perfect conservation of mechanical energy. a) Calculate the total work done on the person from the starting position to position B. Hint: Find the speed at B and use the work-energy theorem. b) Calculate the height of B above the ground. A B
Consider the diagram for question 2. A person of mass 70.5 kg is on a roller coaster at the top of the first hill with speed 4.29 m/s. The top of the first hill is at a height of 20.4 Im above the ground. Position B is situated atop a hill that we can approximate using a circle of radius 13.9 m. At B, the person experiences a net force precisely equal to the force of gravity, Fg = mg[down]. Througout the ride, assume perfect conservation of mechanical energy. a) Calculate the total work done on the person from the starting position to position B. Hint: Find the speed at B and use the work-energy theorem. b) Calculate the height of B above the ground. A B
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 10P
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![QUESTION 2
Consider the diagram for question 2.
A person of mass 70.5 kg is on a roller coaster at the top of the first
hill with speed 4.29 m/s. The top of the first hill is at a height of 20.4
Im above the ground. Position B is situated atop a hill that we can
approximate using a circle of radius 13.9 m. At B, the person experiences a
net force precisely equal to the force of gravity, Fg = mg[down].
Througout the ride, assume perfect conservation of mechanical energy.
a) Calculate the total work done on the person from the starting position
to position B.
Hint: Find the speed at B and use the work-energy theorem.
b) Calculate the height of B above the ground.
A
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84d3133e-efa9-4642-b55d-83025f18a2db%2F267a37b7-9465-40c4-9031-7f3d15496581%2Fizjy7b8h_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 2
Consider the diagram for question 2.
A person of mass 70.5 kg is on a roller coaster at the top of the first
hill with speed 4.29 m/s. The top of the first hill is at a height of 20.4
Im above the ground. Position B is situated atop a hill that we can
approximate using a circle of radius 13.9 m. At B, the person experiences a
net force precisely equal to the force of gravity, Fg = mg[down].
Througout the ride, assume perfect conservation of mechanical energy.
a) Calculate the total work done on the person from the starting position
to position B.
Hint: Find the speed at B and use the work-energy theorem.
b) Calculate the height of B above the ground.
A
B
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