h from point B. The car slides down a frictionless track with a loop as shown in the figure. TH loop is a vertical circle with a diameter of d. Take gravity as g. m C d B Figure 7 (a) Calculate the speed of the roller coaster car at point B in terms of h and g. (b) Caleulate the magnitude of the centripetal force on the car at point B in terms of h, d, g, and m. (c) Calculate the speed of the roller coaster car at point C in terms of h, d, and g. (d) Calculate the magnitude of the normal force on the car at point C in terms of h, d, g, and m. (c) If d = 12.0m, determine the minimum initial height, h of the car such that it can paso through point C succesafully.

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Chapter1: Units, Trigonometry. And Vectors
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A roller coaster car with a mass of m starts from rest at point A which has a vertical distance,
h from point B. The car slides down a frietionless track with a loop as shown in the figure. The
loop is a vertical cirele with a diameter of d. Take gravity as g.
m
C
h
d
B
Figure 7
(a) Calculate the speed of the roller coaster car at point B in terms of h and g.
(b) Calculate the magnitude of the centripetal force on the car at point B in
terms of h, d, g. and m.
(c) Calculate the speed of the roller coaster car at point C in terms of h, d, and
8-
(d) Calculate the magnitude of the normal force on the car at point C in terms
of h, d, g, and m.
(c) Ifd = 12.0m, determine the minimum initial height, h of the car such that it
can pass through point C succesafully.
Transcribed Image Text:A roller coaster car with a mass of m starts from rest at point A which has a vertical distance, h from point B. The car slides down a frietionless track with a loop as shown in the figure. The loop is a vertical cirele with a diameter of d. Take gravity as g. m C h d B Figure 7 (a) Calculate the speed of the roller coaster car at point B in terms of h and g. (b) Calculate the magnitude of the centripetal force on the car at point B in terms of h, d, g. and m. (c) Calculate the speed of the roller coaster car at point C in terms of h, d, and 8- (d) Calculate the magnitude of the normal force on the car at point C in terms of h, d, g, and m. (c) Ifd = 12.0m, determine the minimum initial height, h of the car such that it can pass through point C succesafully.
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