Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 1, Problem 24EAP
Convert the following to SI units:
a. 8.0 in
b. 66 ft/s
c. 60 mph
d. 14 in2
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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 1 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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Ch. 1 - You are watching a jet ski race. A racer speeds up...Ch. 1 - a. Write a paragraph describing the particle...Ch. 1 - You drop a soccer ball from your third-story...Ch. 1 - A baseball player starts running to the left to...Ch. 1 - A softball player slides into second base. Use the...Ch. 1 - a. FIGURE EX1.8 shows the first three points of a...Ch. 1 - FIGURE EX1.9 shows five points of a motion...Ch. 1 - FIGURE EX1.10 shows two dots of a motion diagram...Ch. 1 - FIGURE EX1.11 shows two dots of a motion diagram...Ch. 1 - A speed skater accelerates from rest and then...Ch. 1 - A car travels to the left at a steady speed for a...Ch. 1 - A goose flies toward a pond. It lands on the water...Ch. 1 - You use a long rubber band to launch a paper wad...Ch. 1 - A roof tile falls straight down from a two-story...Ch. 1 - Your roommate drops a tennis ball from a...Ch. 1 - 18. FIGURE EX1.18 shows the motion diagram of a...Ch. 1 - Prob. 19EAPCh. 1 - Prob. 20EAPCh. 1 - Draw a pictorial representation for the following...Ch. 1 - Draw a pictorial representation for the following...Ch. 1 - How many significant figures are there in the...Ch. 1 - Convert the following to SI units: a. 8.0 in b. 66...Ch. 1 - Convert the following to SI units: a. 75 in b....Ch. 1 - Using the approximate conversion factors in Table...Ch. 1 - Using the approximate conversion factors in Table...Ch. 1 - Prob. 28EAPCh. 1 - Prob. 29EAPCh. 1 - Prob. 30EAPCh. 1 - Estimate the height of a telephone pole. Give your...Ch. 1 - Estimate the average speed with which the hair on...Ch. 1 - Motor neurons in mammals transmit signals from the...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 -
For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - For Problems 34 through 43, draw a complete...Ch. 1 - Problems 44 through 48 show a motion diagram. For...Ch. 1 - Problems 44 through 48 show a motion diagram. For...Ch. 1 - Problems 44 through 48 show a motion diagram. For...Ch. 1 - Problems 44 through 48 show a motion diagram. For...Ch. 1 - Problems 44 through 48 show a motion diagram. For...Ch. 1 - Problems 49 through 52 show a partial motion...Ch. 1 - Problems 49 through 52 show a partial motion...Ch. 1 - Problems 49 through 52 show a partial motion...Ch. 1 - Problems 49 through 52 show a partial motion...Ch. 1 - Prob. 53EAPCh. 1 - As an architect, you are designing a new house. A...Ch. 1 - 55. A 5.4-cm-diameter cylinder has a length of...Ch. 1 - An intravenous saline drip has 9.0 g of sodium...Ch. 1 - Prob. 57EAPCh. 1 - FIGURE P1.58 shows a motion diagram of a car...Ch. 1 - Write a short description of a real object for...Ch. 1 - Write a short description of a real object for...
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