College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 9, Problem 30P
The average human has a density of 945 kg/m3 after in haling and 1 020 kg/m3 after exhaling. (a) Without making any swimming movements, what percentage of the human body would be above the surface in the Dead Sea (a body of water with a density of about 1 230 kg/m3) in each of these cases? (b) Given that bone and muscle are denser than fat, what physical characteristics differentiate “sinkers” (those who tend to sink in water) from “floaters” (those who readily float)?
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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 9 Solutions
College Physics
Ch. 9.2 - Suppose you have one cubic meter of gold, two...Ch. 9.4 - The pressure at the bottom of a glass filled with...Ch. 9.5 - Several common barometers are built using a...Ch. 9.5 - Blood pressure is normally measured with the cuff...Ch. 9.6 - Atmospheric pressure varies from day to day. The...Ch. 9.6 - The density of lead is greater than iron, and both...Ch. 9.7 - You observe two helium balloons floating next to...Ch. 9 - Physics Review A soap bubble hovers motionlessly...Ch. 9 - Physics Review A team of huskies performs 7 440 J...Ch. 9 - Prob. 3WUE
Ch. 9 - Prob. 4WUECh. 9 - Humans can bite with a force of approximately 800...Ch. 9 - A hydraulic jack has an input piston of area 0.050...Ch. 9 - Prob. 7WUECh. 9 - Prob. 8WUECh. 9 - Prob. 9WUECh. 9 - A horizontal pipe narrows from a radius of 0.250 m...Ch. 9 - A large water tank is 3.00 m high and filled lo...Ch. 9 - Prob. 1CQCh. 9 - The density of air is 1.3 kg/m3 at sea level. From...Ch. 9 - Why do baseball home run hitters like to play in...Ch. 9 - Figure CQ9.4 shows aerial views from directly...Ch. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Suppose a damaged ship just barely floats in the...Ch. 9 - During inhalation, the pressure in the lungs is...Ch. 9 - The water supply for a city is often provided from...Ch. 9 - An ice cube is placed in a glass of water. What...Ch. 9 - Place two cans of soft drinks, one regular and one...Ch. 9 - Will an ice cube float higher in water or in an...Ch. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - A person in a boat floating in a small pond throws...Ch. 9 - One of the predicted problems due to global...Ch. 9 - Prob. 1PCh. 9 - Prob. 3PCh. 9 - Calculate the mass of a solid gold rectangular bar...Ch. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Suppose a distant world with surface gravity of...Ch. 9 - Evaluate Young's modulus for the material whose...Ch. 9 - The Deformation of Solids 65. A 200.-kg load is...Ch. 9 - Comic-book superheroes are sometimes able to punch...Ch. 9 - A plank 2.00 cm thick and 15.0 cm wide is firmly...Ch. 9 - Assume that if the shear stress in steel exceeds...Ch. 9 - For safety in climbing, a mountaineer uses a nylon...Ch. 9 - A stainless-steel orthodontic: wire is applied to...Ch. 9 - Bone has a Youngs modulus of 18 109 Pa. Under...Ch. 9 - A high-speed lifting mechanism supports an 800.-kg...Ch. 9 - Prob. 17PCh. 9 - The total cross-sectional area of the load-bearing...Ch. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - (a) Calculate the absolute pressure at the bottom...Ch. 9 - Mercury is poured into a U-tube as shown in Figure...Ch. 9 - A collapsible plastic bag (Fig. F9.11) contains a...Ch. 9 - Prob. 24PCh. 9 - A container is filled to a depth of 20.0 cm with...Ch. 9 - Blaise Pascal duplicated Torricellis barometer...Ch. 9 - Figure P9.27 shows the essential parts of a...Ch. 9 - Piston in Figure P9.16 has a diameter of 0.25...Ch. 9 - Buoyant Forces and Archimedes Principle A...Ch. 9 - The average human has a density of 945 kg/m3 after...Ch. 9 - A small ferryboat is 4.00 m wide and 6.00 m long....Ch. 9 - A 62.0-kg survivor of a cruise line disaster rests...Ch. 9 - A wooden block of volume 5.24 104 m3 floats in...Ch. 9 - A large balloon of mass 226 kg is filled with...Ch. 9 - A spherical weather balloon is filled with...Ch. 9 - A man of mass m = 70.0 kg and having a density of ...Ch. 9 - On October 21, 2001, Ian Ashpole of the United...Ch. 9 - The gravitational force exerted on a solid object...Ch. 9 - A cube of wood having an edge dimension of 20.0 cm...Ch. 9 - A light spring of force constant k = 160 N/m rests...Ch. 9 - A sample of an unknown material appears to weigh...Ch. 9 - An object weighing 300 N in air is immersed in...Ch. 9 - A 1.00-kg beaker containing 2.00 kg of oil...Ch. 9 - Wafer flowing through a garden hose of diameter...Ch. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - A hypodermic syringe contain a medicine with the...Ch. 9 - When a person inhales, air moves down the bronchus...Ch. 9 - A jet airplane in level flight has a mass of 8.66 ...Ch. 9 - An airplane has a mass M, and the two wings have a...Ch. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - A jet of water squirts out horizontally from a...Ch. 9 - A large storage tank, open to the atmosphere at...Ch. 9 - The inside diameters of the larger portions of the...Ch. 9 - Water is pumped through a pipe of diameter 15.0 cm...Ch. 9 - Old Faithful geyser in Yellowstone Park erupts at...Ch. 9 - The Venturi tube shown in Figure P9.48 may be used...Ch. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - A certain fluid has a density of 1.080 kg/m3 and...Ch. 9 - Whole blood has a surface tension of 0.058 N/m and...Ch. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - Spherical panicles of a protein of density 1.8...Ch. 9 - A hypodermic needle is 3.0 era in length and 0.30...Ch. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - The aorta in humans has a diameter of about 2.0...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Glycerin in water diffuses along a horizontal...Ch. 9 - Prob. 75PCh. 9 - Small spheres of diameter 1.00 mm fall through 20C...Ch. 9 - An iron block of volume 0.20 m5 is suspended from...Ch. 9 - The true weight of an object can be measured in a...Ch. 9 - As a first approximation. Earth's continents may...Ch. 9 - Prob. 80APCh. 9 - Prob. 81APCh. 9 - Superman attempts to drink water through a very...Ch. 9 - The human brain and spinal cord are immersed in...Ch. 9 - A Hydrometer is an instrument used to determine...Ch. 9 - Prob. 85APCh. 9 - A helium-filled balloon, whose envelope has a mass...Ch. 9 - A light spring of constant A = 90.0 N/m is...Ch. 9 - A U-tube open at both ends is partially filled...Ch. 9 - In about 1657. Otto von Guericke, inventor of the...Ch. 9 - Oil having a density of 930 kg/m3 floats on water....Ch. 9 - Prob. 91AP
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