Loop the Loop (Figure 1)A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R, as shown. Assume that the initial height his great enough so that the car never loses contact with the track Figure -M₂ < 1 of 1 > ▾ Part A Find an expression for the kinetic energy of the car at the top of the loop. Express the kinetic energy in terms of m, g, h, and R. ▸ View Available Hint(s) IVE ΑΣΦ K Submit Part B Find the minimum initial height at which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express the minimum height in terms of R. ▸ View Available Hint(s) 197| ΑΣΦ huin Submit Provide Feedback ?

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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Loop the Loop
(Figure 1)A roller coaster car may be approximated by a block of mass m. The car, which starts
from rest, is released at a height above the ground and slides along a frictionless track. The car
encounters a loop of radius R, as shown. Assume that the initial heighth is great enough so that
the car never loses contact with the track
Figure
h
-M₂
=
< 1 of 1
▾ Part A
Find an expression for the kinetic energy of the car at the top of the loop.
Express the kinetic energy in terms of m, g, h, and R.
▸ View Available Hint(s)
K=
Submit
Part B
■
huin
135) ΑΣΦ
Submit
Find the minimum initial height hat which the car can be released that still allows the car to stay in contact with the track at the top of the loop.
Express the minimum height in terms of R.
▸ View Available Hint(s)
[Π| ΑΣΦ
+ → O M
Provide Feedback
?
?
Transcribed Image Text:Loop the Loop (Figure 1)A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height above the ground and slides along a frictionless track. The car encounters a loop of radius R, as shown. Assume that the initial heighth is great enough so that the car never loses contact with the track Figure h -M₂ = < 1 of 1 ▾ Part A Find an expression for the kinetic energy of the car at the top of the loop. Express the kinetic energy in terms of m, g, h, and R. ▸ View Available Hint(s) K= Submit Part B ■ huin 135) ΑΣΦ Submit Find the minimum initial height hat which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express the minimum height in terms of R. ▸ View Available Hint(s) [Π| ΑΣΦ + → O M Provide Feedback ? ?
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