2. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. Gravity acts downward. See figure on the next page. (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in his seat at point A? In your solution, draw a free body diagram (FBD) using coordinates indicated for A and B. Break up the forces into components either on the FBD or make a table of the components. Note in A, the forces are radial, while in B the weight has both radial and tangential components.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 70AP: A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70....
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B
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Transcribed Image Text:B -+> 30° A
2. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius
7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5
m/s. Assume the child is not holding on and does not wear a seat belt. Gravity acts
downward.
See figure on the next page.
(a) What is the force of the car seat on the child at point A?
(b) What is the force of the car seat on the child at point B?
(c) What minimum speed is required to keep the child in his seat at point A?
In your solution, draw a free body diagram (FBD) using coordinates indicated for A
and B. Break up the forces into components either on the FBD or make a table of the
components.
Note in A, the forces are radial, while in B the weight has both radial and tangential
components.
Transcribed Image Text:2. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. Gravity acts downward. See figure on the next page. (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in his seat at point A? In your solution, draw a free body diagram (FBD) using coordinates indicated for A and B. Break up the forces into components either on the FBD or make a table of the components. Note in A, the forces are radial, while in B the weight has both radial and tangential components.
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