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A child of mass me = 44 kg is in a roller coaster car that travels in a loop of radius R = 7 m. At point A the speed of the car is VA= 10 m/s, and at point B, the speed is vg 10.4 m/s. Assume the child is not holding on and does not wear a seat belt. Assume all quantities are correct to 3 significant figures. B A 30° l.a) Draw a FBD Let NA be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. radial direction p 0 (1.b) Set-up Newton's Second Law along the radial direction at point A in terms of the normal force at A, NA, and the weight of the child, mog, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ZF, F+NA-mg=mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above.

A child of mass me = 44 kg is in a roller coaster car that travels in a loop of radius R = 7 m. At point A the speed of the car is VA= 10 m/s, and at point B, the speed is vg 10.4 m/s. Assume the child is not holding on and does not wear a seat belt. Assume all quantities are correct to 3 significant figures. B A 30° l.a) Draw a FBD Let NA be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. radial direction p 0 (1.b) Set-up Newton's Second Law along the radial direction at point A in terms of the normal force at A, NA, and the weight of the child, mog, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ZF, F+NA-mg=mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above.

College Physics
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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A child of mass mc = 44 kg is in a roller coaster car that travels in a loop of radius R = 7 m. At point A the speed of the car is VA= 10 m/s, and at point B, the speed is VB = 10.4 m/s. Assume the child is not holding on and does not wear a seat belt. Assume all quantities are correct to 3 significant figures. B R A 30° (I.a) Draw a FBD Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A me radial direction ac (I.a) Draw a FBD A Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A R me TFV 298 radial direction ac 0.-) (1.b) Set-up Newton's Second Law along the radial direction at point A in terms of the normal force at A, NA, and the weight of the child, mcg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ZF, F+NA-mg x = mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. done WOA
Transcribed Image Text:A child of mass mc = 44 kg is in a roller coaster car that travels in a loop of radius R = 7 m. At point A the speed of the car is VA= 10 m/s, and at point B, the speed is VB = 10.4 m/s. Assume the child is not holding on and does not wear a seat belt. Assume all quantities are correct to 3 significant figures. B R A 30° (I.a) Draw a FBD Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A me radial direction ac (I.a) Draw a FBD A Let NÅ be the force of the roller coaster car on the child. In your notebook, draw a free body diagram of the child at point A. Draw the vector for the centripetal acceleration at A in the box. A R me TFV 298 radial direction ac 0.-) (1.b) Set-up Newton's Second Law along the radial direction at point A in terms of the normal force at A, NA, and the weight of the child, mcg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ZF, F+NA-mg x = mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. done WOA
(1.c) What is the force of the car seat on the child at point A? Enter to 3 significant figures NA = 197 (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures V min = 8.28 N m S (II.a) Draw a FBD B In your notebook, draw a free body diagram of the child at point B. Let Ng be the normal force at B. Draw the vector for the centripetal acceleration at B in the box. B me R ac 0: radial direction (II.b) Set-up Newton's Second Law along the radial direction at point B in terms of the normal force at B, NB, the weight of the child meg, and 0 SYMBOLICALLY Note: The radial direction at B (direction along the radius and towards the center is positive) is shown in the figure above. = mcac ΣF,= Do not forget the subscripts "c" for the child's mass and the susbcript "B" for the normal when answering the question above.
Transcribed Image Text:(1.c) What is the force of the car seat on the child at point A? Enter to 3 significant figures NA = 197 (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures V min = 8.28 N m S (II.a) Draw a FBD B In your notebook, draw a free body diagram of the child at point B. Let Ng be the normal force at B. Draw the vector for the centripetal acceleration at B in the box. B me R ac 0: radial direction (II.b) Set-up Newton's Second Law along the radial direction at point B in terms of the normal force at B, NB, the weight of the child meg, and 0 SYMBOLICALLY Note: The radial direction at B (direction along the radius and towards the center is positive) is shown in the figure above. = mcac ΣF,= Do not forget the subscripts "c" for the child's mass and the susbcript "B" for the normal when answering the question above.
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