Problems14 - Chapter 14 Problems 1, 2, 3 = straightforward,...
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Chapter 14 Problems
= straightforward, intermediate,
Section 14.1 Pressure
Calculate the mass of a solid iron sphere
that has a diameter of 3.00 cm.
Find the order of magnitude of the
density of the nucleus of an atom. What does
this result suggest concerning the structure of
matter? Model a nucleus as protons and
neutrons closely packed together. Each has
kg and radius on the order of
A 50.0-kg woman balances on one heel
of a pair of high-heeled shoes. If the heel is
circular and has a radius of 0.500 cm, what
pressure does she exert on the floor?
The four tires of an automobile are
inflated to a gauge pressure of 200 kPa. Each
tire has an area of 0.024 0 m
in contact with the
ground. Determine the weight of the
What is the total mass of the Earth's
atmosphere? (The radius of the Earth is
m, and atmospheric pressure at the
surface is 1.013
Section 14.2 Variation of Pressure with
(a) Calculate the absolute pressure at an
ocean depth of 1 000 m. Assume the density of
seawater is 1 024 kg/m
and that the air above
exerts a pressure of 101.3 kPa. (b) At this
depth, what force must the frame around a
circular submarine porthole having a diameter
of 30.0 cm exert to counterbalance the force
exerted by the water?
The spring of the pressure gauge shown
in Figure 14.2 has a force constant of 1 000
N/m, and the piston has a diameter of 2.00 cm.
As the gauge is lowered into water, what change
in depth causes the piston to move in by 0.500
The small piston of a hydraulic lift has a
cross-sectional area of 3.00 cm
and its large
piston has a cross-sectional area of
(Figure 14.4). What force must be
applied to the small piston for the lift to raise a
load of 15.0 kN? (In service stations, this force
is usually exerted by compressed air.)
What must be the contact area between a
suction cup (completely exhausted) and a
ceiling if the cup is to support the weight of an
(a) A very powerful vacuum cleaner has
a hose 2.86 cm in diameter. With no nozzle on
the hose, what is the weight of the heaviest brick
that the cleaner can lift? (Fig. P14.10a) (b)
A very powerful octopus uses one
sucker of diameter 2.86 cm on each of the two
shells of a clam in an attempt to pull the shells
apart (Fig. P 14.10b). Find the greatest force the
octopus can exert in salt water 32.3 m deep.
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