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A child of mass m = 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 30° (I.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 R m (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, meg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ΣΕ, Β -mac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. (1.c) What is the force of the car seat on the child at point A? Enter to 3 significant figures NA N (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures Vmin (II.a) Draw a FBD 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 m R radial direction

A child of mass m = 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 30° (I.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 R m (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, meg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ΣΕ, Β -mac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. (1.c) What is the force of the car seat on the child at point A? Enter to 3 significant figures NA N (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures Vmin (II.a) Draw a FBD 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 m R radial direction

University Physics Volume 1
University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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1. 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. • radial . direction .. a (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, meg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ΣF= = mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. (1.c) What is the force f the car seat on the child at point A? Enter to 3 significant figures NA = (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures V min = N m S (II.a) Draw a FBD 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 (m₂) R radial direction
Transcribed Image Text:1. 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. • radial . direction .. a (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, meg, SYMBOLICALLY Note: The radial direction at A (direction along the radius and towards the center is positive) is shown in the figure above. ΣF= = mcac Do not forget the subscripts "c" for the child's mass and the susbcript "A" for the normal when answering the question above. (1.c) What is the force f the car seat on the child at point A? Enter to 3 significant figures NA = (1.d) What minimum speed is required to keep the child in his seat at point A? Enter to 3 significant figures V min = N m S (II.a) Draw a FBD 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 (m₂) R 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. ΣF,= ✔=mcac Do not forget the subscripts "c" for the child's mass and the susbcript "B" for the normal whe answering the question above. (II.c) What is the force of the car seat on the child at point B? Enter to 3 significant figures NB= ✔N
Transcribed Image Text:(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. ΣF,= ✔=mcac Do not forget the subscripts "c" for the child's mass and the susbcript "B" for the normal whe answering the question above. (II.c) What is the force of the car seat on the child at point B? Enter to 3 significant figures NB= ✔N
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