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.

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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

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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