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.
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Chapter1: Units, Trigonometry. And Vectors
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I need i.b and ii.b please and i will rate highly! *32
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
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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