HORIZONS (LL) W/WEBASSIGN ACCESS CARD
14th Edition
ISBN: 9780357537565
Author: Seeds
Publisher: CENGAGE L
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Chapter 14, Problem 9RQ
What is the evidence that the Universe was very uniform during its first 400,000 years?
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In an isothermal process, you are told that heat is being added to the system. Which of the following is not true? (a) The pressure of the gas is decreasing. (b) Work is being done on the system. (c) The average kinetic energy of the particles is remaining constant. (d) The volume of the gas is increasing. (e) Work is being done by the system.
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8.114 CALC A Variable-Mass Raindrop. In a rocket-propul-
sion problem the mass is variable. Another such problem is a rain-
drop falling through a cloud of small water droplets. Some of these
small droplets adhere to the raindrop, thereby increasing its mass
as it falls. The force on the raindrop is
dp
dv
dm
Fext
=
+
dt
dt
dt
=
Suppose the mass of the raindrop depends on the distance x that it
has fallen. Then m kx, where k is a constant, and dm/dt = kv.
This gives, since Fext
=
mg,
dv
mg = m
+ v(kv)
dt
Or, dividing by k,
dv
xgx
+ v²
dt
This is a differential equation that has a solution of the form
v = at, where a is the acceleration and is constant. Take the initial
velocity of the raindrop to be zero. (a) Using the proposed solution
for v, find the acceleration a. (b) Find the distance the raindrop has
fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of
the raindrop at t = 3.00 s. (For many more intriguing aspects of
this problem, see K. S. Krane, American Journal of…
Chapter 14 Solutions
HORIZONS (LL) W/WEBASSIGN ACCESS CARD
Ch. 14 - How does the darkness of the night sky tell you...Ch. 14 - How can Earth be located at the center of the...Ch. 14 - Prob. 3RQCh. 14 - Prob. 4RQCh. 14 - Why couldn’t atomic nuclei exist when the e of the...Ch. 14 - Why are measurements of the present density of the...Ch. 14 - Prob. 7RQCh. 14 - Prob. 8RQCh. 14 - What is the evidence that the Universe was very...Ch. 14 - Prob. 10RQ
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