A large spring is used to launch a bobsled along an iced (frictionless) horizontal track, entering at the bottom of a vertical loop. The spring has a spring constant k, the bobsled has a mass m, and the circular portion of the track has a radius R. (a) Sketch the setup, labeling everything. (b) Draw a freebody diagram of the bobsled at the highest point on the track, and label all forces. (c) If you IGNORE FRICTION, how much must the spring be compressed in order to launch the bobsled fast enough to complete the inverted loop without falling off the track? Find an expression for the minimum compression of the spring, in terms of m, k, and R.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A large spring is used to launch a bobsled along an iced (frictionless) horizontal track, entering at the bottom of a vertical loop. The spring has a spring constant k, the bobsled has a mass m, and the circular portion of the track has a radius R. (a) Sketch the setup, labeling everything. (b) Draw a freebody diagram of the bobsled at the highest point on the track, and label all forces. (c) If you IGNORE FRICTION, how much must the spring be compressed in order to launch the bobsled fast enough to complete the inverted loop without falling off the track? Find an expression for the minimum compression of the spring, in terms of m, k, and R.
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