Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 6, Problem 23P
You can feel a force of air drag on your hand if you stretch your arm out of the open window of a speeding car. Note: Do not endanger yourself. What is the order of magnitude of this force? In your solution, state the quantities you measure or estimate and their values.
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A 60 kg skydiver can be modeled as a rectangular "box" with dimensions 22 cm × 40 cm × 1.8 m. What is his terminal speed if he falls feet first? Suppose that the density of air is 1.2 kg/m3.
The total aerodynamic force F acting on the airplane has a magnitude of 6250 lb. Resolve this force into vertical and horizontal components (called the liftand the drag, respectively)
Like friction, drag force opposes the motion of a particle in a fluid; however, drag force depends on the particle's velocity. Find the expression for the particle's velocity v(x) as a function of position at any point x in a fluid whose drag force is expressed as
Fdrag = kmv
where k is a constant, m is the mass of the particle and v is its velocity. Assume that the particle is constrained to move in the x-axis only with an initial velocity v0.
Solution:
The net force along the x-axis is:
ΣF = -F = m
then:
-mv = m
Since acceleration is the first time derivative of velocity a = dv/dt,
-mv = m
We can eliminate time dt by expressing, the velocity on the left side of the equation as v = dx/dt. Manipulating the variables and simplifying, we arrive at the following expression
/ = -k
"Isolating" the infinitesimal velocity dx and integrating with respect to dx, we arrive at the following:
= v0 -
which shows that velocity decreases in a linear manner.
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics
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