Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. D B LIT 17.76 up minimum What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 20 m and the downward acceleration of the car is 1.61 g? down C m/s What is the direction of the Normal Force acting on the car? Number maximum there is no normal force A If the mass of the car is 932 kg, what is the size of the Normal force acting on the car (in N)? 4

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Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at
the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration
due to gravity, keeping the passengers pressed firmly into their seats.
D
B
17.76
What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 20 m and the downward
acceleration of the car is 1.61 g?
up
minimum
down
m/s
What is the direction of the Normal Force acting on the car?
maximum
Othere is no normal force
Number
A
If the mass of the car is 932 kg, what is the size of the Normal force acting on the car (in N)?
Note: The labels on the figure do not relate to this problem. The image is simply a reference for what the loop looks like.
Transcribed Image Text:Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. D B 17.76 What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 20 m and the downward acceleration of the car is 1.61 g? up minimum down m/s What is the direction of the Normal Force acting on the car? maximum Othere is no normal force Number A If the mass of the car is 932 kg, what is the size of the Normal force acting on the car (in N)? Note: The labels on the figure do not relate to this problem. The image is simply a reference for what the loop looks like.
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