HORIZONS (LL) W/WEBASSIGN ACCESS CARD
14th Edition
ISBN: 9780357537565
Author: Seeds
Publisher: CENGAGE L
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Chapter 15, Problem 9RQ
What is the difference between condensation and accretion?
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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…
8.13 A 2.00-kg stone is sliding Figure E8.13
F (kN)
to the right on a frictionless hori-
zontal surface at 5.00 m/s when
it is suddenly struck by an object
that exerts a large horizontal
force on it for a short period of 2.50
time. The graph in Fig. E8.13
shows the magnitude of this force
as a function of time. (a) What
impulse does this force exert on
t (ms)
15.0
16.0
the stone? (b) Just after the force stops acting, find the magnitude
and direction of the stone's velocity if the force acts (i) to the right
or (ii) to the left.
Chapter 15 Solutions
HORIZONS (LL) W/WEBASSIGN ACCESS CARD
Ch. 15 - What produced the helium now present in the Sun’s...Ch. 15 - What produced the iron and heavier elements like...Ch. 15 - What evidence can you cite that disks of gas and...Ch. 15 - According to the solar nebula theory, why is the...Ch. 15 - Why does the solar nebula theory predict that...Ch. 15 - Prob. 6RQCh. 15 - If you visited another planetary system, would you...Ch. 15 - Why is almost every solid surface in our Solar...Ch. 15 - What is the difference between condensation and...Ch. 15 - Why don’t Terrestrial planets have rings like the...
Ch. 15 - How does the solar nebula theory help you...Ch. 15 - How does the solar nebula theory explain the...Ch. 15 - What does the term differentiated mean when...Ch. 15 - What processes cleared the nebula away and ended...Ch. 15 - Why would astronomically short lifetime of gas and...Ch. 15 - Prob. 16RQCh. 15 - What evidence can you cite that planets orbit...Ch. 15 - Why is the existence of “hot Jupiters” puzzling?...Ch. 15 - How Do We know? The evidence is overwhelming in...Ch. 15 - How Do We know? How can scientists know anything...Ch. 15 - If you could visit another planetary system while...Ch. 15 - Prob. 2DQCh. 15 - If the solar nebula hypothesis is correct, do you...Ch. 15 - If you observed the Solar System from the nearest...Ch. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Suppose that Earth grew to its present size in 1...Ch. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 1LTLCh. 15 - Why do astronomers conclude that the surface of...Ch. 15 - Prob. 3LTL
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