A 70-kg bicyclist is riding her 15-kg bicycle downhill on a road with a slope of 8° without pedaling or braking. The bicyclist has a frontal area of 0.45 m2 and a drag coefficient of 1.1 in the upright position, and a frontal area of 0.4 m2 and a drag coefficient of 0.9 in the racing position. Disregarding the rolling resistance and friction at the bearings, determine the terminal velocity of the bicyclist for both positions. Take the air density to be 1.25 kg/m3.

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
Section: Chapter Questions
Problem 40P
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A 70-kg bicyclist is riding her 15-kg bicycle downhill
on a road with a slope of 8° without pedaling or braking. The
bicyclist has a frontal area of 0.45 m2 and a drag coefficient
of 1.1 in the upright position, and a frontal area of 0.4 m2 and
a drag coefficient of 0.9 in the racing position. Disregarding
the rolling resistance and friction at the bearings, determine
the terminal velocity of the bicyclist for both positions. Take
the air density to be 1.25 kg/m3.

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