Cross country runners must turn a corner around a tree obstacle, in the rain. a) The first runner takes a wide line to the tree and runs around a curve with a radius of 1.5 m and undergoes a radial acceleration of 10 m/s2. Determine their tangential velocity during the curve. b) The second runner is trying to catch up and so runs closer to the tree. If a loss of control (slip) occurs at a radial acceleration of 22 m/s2, does the runner manage to run around a curve with a radius of 0.50 m at a tangential velocity of 3.5 m/s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section5.3: Nonuniform Circular Motion
Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...
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Cross country runners must turn a corner around a tree obstacle, in the rain.

a) The first runner takes a wide line to the tree and runs around a curve with a radius of 1.5 m and undergoes a radial acceleration of 10 m/s2. Determine their tangential velocity during the curve.

b) The second runner is trying to catch up and so runs closer to the tree. If a loss of control (slip) occurs at a radial acceleration of 22 m/s2, does the runner manage to run around a curve with a radius of 0.50 m at a tangential velocity of 3.5 m/s?

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