Answered: If the 5-foot woman has a terminal…

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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By comparing the surface area of a sphere with its volume and assuming that air resistance is proportional to the square of velocity, it is possible to make a heuristic argument to support the following premise: For similarly shaped objects, terminal velocity varies in proportion to the square root of the length. Expressed in a formula, this is

T = kL^0.5,

where L is length, T is terminal velocity, and k is a constant that depends on the shape, among other things. This relation can be used to help explain why small mammals easily survive falls that would seriously injure or kill a human. (Round your answers to two decimal places.)

(a) A 5-foot woman is 20 times as long as a 3-inch mouse (neglecting the tail). How does the terminal velocity of a woman compare with that of a mouse?

The terminal velocity of the woman is ________ times that of the mouse?

(b) If the 5-foot woman has a terminal velocity of 120 miles per hour, what is the terminal velocity of the 3-inch mouse? (unit is mph)

(c) Neglecting the tail, a squirrel is about 6 inches long. Again assuming that a 5-foot woman has a terminal velocity of 120 miles per hour, what is the terminal velocity of a squirrel? (unit is mph)

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