16) Thrill Ride: A loaded car of mass M in an amusement park ride rolls without friction around the track shown below. It starts from rest at point A, and goes through the loop, just barely making it at point B. at the top of the loop. The radius of the circular loop is R. At the end of the path, near point C, the car momentarily comes to rest after compressing the spring by a distance of Ax. Ignore friction. (Symbols first, then numbers: M = 800 kg, R = 10 m, Ar= 5.0 m) a) Determine (i) the radial acceleration, and (ii) the speed at B. (See PSL 6.12.) b) Determine the vertical height at A. Use WET (KE&PE). c) Determine the stiffness constant of the spring.
16) Thrill Ride: A loaded car of mass M in an amusement park ride rolls without friction around the track shown below. It starts from rest at point A, and goes through the loop, just barely making it at point B. at the top of the loop. The radius of the circular loop is R. At the end of the path, near point C, the car momentarily comes to rest after compressing the spring by a distance of Ax. Ignore friction. (Symbols first, then numbers: M = 800 kg, R = 10 m, Ar= 5.0 m) a) Determine (i) the radial acceleration, and (ii) the speed at B. (See PSL 6.12.) b) Determine the vertical height at A. Use WET (KE&PE). c) Determine the stiffness constant of the spring.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Transcribed Image Text:16) Thrill Ride: A loaded car of mass M in an amusement park ride rolls without friction around the track
shown below. It starts from rest at point A, and goes through the loop, just barely making it at point B,
at the top of the loop. The radius of the circular loop is R. At the end of the path, near point C, the car
momentarily comes to rest after compressing the spring by a distance of Ax. Ignore friction.
(Symbols first, then numbers: M = 800 kg, R = 10 m, Ar = 5.0 m)
a) Determine (i) the radial acceleration, and (ii) the speed at B. (See PSL 6.12.)
b) Determine the vertical height at A. Use WET (KE&PE).
c) Determine the stiffness constant of the spring.
d) Is this ride safe at C? Determine the maximum acceleration during the compression of the spring.
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