Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 5, Problem 70P

Moving through a liquid, an object of mass m experiences a resistive drag force proportional to its velocity, Fdrag = −bv, where b is a constant, (a) Find an expression for the object’s speed as a function of time, when it starts from rest and falls vertically through the liquid, (b) Show that it reaches a terminal velocity mg/b.

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The drag force for falling objects due to air friction depends on the velocity of the object and is given by the equation [Fdrag = bv] where b is a constant that depends on the fluid through which the object moves and the radius of the object. (a) Find the terminal speed (in m/s) of an object of mass 54 kg for which  b = 17 kg/s. (b) Will the terminal speed be different if the object's initial speed is different? Yes or No?
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The terminal velocity of a human being is 200 km/hr, and it takes about 12 seconds to achieve this. This calculation considers for air friction of course. What would a person’s speed be if they free fell for 12 seconds instead (no air friction present)?

Chapter 5 Solutions

Essential University Physics (3rd Edition)

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