The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 5, Problem 32RQ
If you hold this textbook out at shoulder height and let go, at the instant you let go, does the book have potential energy? Kinetic energy?
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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.
Please calculate the expectation value for E and the uncertainty in E for this wavefunction trapped in a simple harmonic oscillator potential
Chapter 5 Solutions
The Solar System
Ch. 5 - Prob. 1RQCh. 5 - Today, what do we call the Aristotelean violent...Ch. 5 - Which of Keplers or Newtons laws best describes...Ch. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - If you drop a feather and a steel hammer at the...Ch. 5 - What is the difference between mass and weight?
Ch. 5 - Prob. 8RQCh. 5 - An astronaut working in space near the...Ch. 5 - Prob. 10RQ
Ch. 5 - A car is on a circular off ramp of an interstate...Ch. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - An astronaut is in space with a baseball and a...Ch. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - Why did Newton conclude that some force had to...Ch. 5 - Why did Newton conclude that gravity has to be...Ch. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - You are sitting next to a person who has twice as...Ch. 5 - Prob. 23RQCh. 5 - Why cant a spacecraft go beyond Earths gravity?Ch. 5 - Prob. 25RQCh. 5 - Balance a pencil lengthwise on the side of your...Ch. 5 - Prob. 27RQCh. 5 - Why can’t you leave Earth’s gravitational field...Ch. 5 - Prob. 29RQCh. 5 -
How do planets orbiting the Sun and skaters doing...Ch. 5 - Prob. 31RQCh. 5 - If you hold this textbook out at shoulder height...Ch. 5 - Today at the beach you see the highest of all high...Ch. 5 - Why is the period of an open orbit undefined?
Ch. 5 - In what conditions do Newtons laws of motion and...Ch. 5 - Prob. 36RQCh. 5 - Prob. 37RQCh. 5 - Prob. 38RQCh. 5 - How is gravity related to acceleration? Are all...Ch. 5 - Prob. 40RQCh. 5 - Prob. 41RQCh. 5 - Prob. 42RQCh. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Compared to the strength of Earth’s gravity at its...Ch. 5 - Compare the force of gravity on a 1 kg mass on the...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - If a small lead ball falls from a high tower on...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - Prob. 9PCh. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - What is the orbital period of a satellite orbiting...Ch. 5 - What would be the escape velocity at the surface...Ch. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 1LLCh. 5 - Prob. 2LLCh. 5 - Why is it a little bit misleading to say that this...
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