Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
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?
To maintain a constant speed, the force provided by a car's engine must equal the drag force plus the force of friction of the road (the rolling resistance). The density of air is 1.2 kg/m.
(a) What are the drag forces in newtons at 75 km/h and 104 km/h for a Toyota Camry? (Drag area = 0.70 m? and drag coefficient = 0.28.)
at 75 km/h
at 104 km/h
(b) What are the drag forces in newtons at 75 km/h and at 104 km/h for a Hummer H2? (Drag area = 2.44 m2 and drag coefficient = 0.57.)
at 75 km/h
at 104 km/h
N
Additional Materials
A small diamond of mass 10.0 g drops from a swimmer’s earring and falls through the water, reaching a terminal velocity of 2.0 m/s. (a) Assuming the frictional force on the diamond obeys f = −bv, what is b? (b) How far does the diamond fall before it reaches 90 percent of its terminal speed?
Chapter 5 Solutions
Essential University Physics (3rd Edition)
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