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This Test Contains Conceptual Questions from Physics.
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When a certain truck stands on a level roadway, its front wheels support 1.11 kN, and
its rear wheels support 18.9 kN. If the front and rear axles are 3.66 m apart, the
horizontal distance between the rear axle and the center of gravity of the truck is
approximately
The center of gravity and the center of mass coincide if
If the weight of the uniform boom shown in the figure is 2.00 kN, the tension in the
horizontal guy wire supporting the boom and the 5.60-kN weight is
What is the magnitude of the force the contact point c exerts on the ball when the
applied force F just lifts the ball off the floor?
A uniform beam of length L = 3 m and mass M = 12 kg
is leaning against a frictionless vertical wall. The
bottom of the beam makes an angle of 60° with the
horizontal ground. Assuming the beam is in static
equilibrium, what is the magnitude of the frictional
force F between the beam and the ground?
. A 10-m long plank (of negligible mass) is supported at each end by vertical cables. A
person of unknown weight sits on the plank between the cables. The tension in the
left cable is 300 N, and in the right cable it is 200 N. How far is the person sitting
from the left cable?
The sign shown in the figure weighs 200 N. The boom is of uniform construction. If
the force exerted by the hinge on the boom is 300 N and acts at an angle of 20º
above the horizontal, the tension in the tie cable is
A ladder is extended to a length of 8 m. It rests against a smooth frictionless vertical
wall at an angle of 55 degrees to the horizontal. The ladder has a mass of 30 kg, and
its center of mass is three-eighths of the way up the ladder from the floor. If the
coefficient of static friction between the ladder and the floor is 0.2, calculate how far
a man of 80 kg can stand along the ladder without it slipping away at the floor.
The object shown in the diagram is a cube of uniform density resting on a rough
surface. The applied force is balanced by the frictional force When the block
is on the verge of tipping, the point of application of the normal force acting on the cube will be
Large cranes have stabilizers that extend beyond the wheels of the machines. If a
crane has stabilizers that extend out by the width of the machine, by what factor can the load be increased before it tips over? Assume that the center of gravity of the crane without the load is in the middle of the crane.
An 800-kg mass is hung from a 2-m steel wire with a cross-sectional area of 0.25
cm2. Young’s modulus for steel is 2.0 × 1011 N/m2. How much does the wire stretch?
A 3-m long wire with a diameter of 1.5 mm has a Young’s modulus of 9 × 1010 N/m2.
What mass hung from the wire would extend it by 3 mm?
A piece of wood is floating at the surface of some water as illustrated. The wood has
a circular cross section and a height h = 3.0 cm. The density of the wood is 0.41
g/cm3. The distance y from the surface of the water to the bottom of the wood is
What is the gauge pressure at a depth of 6 cm in a glass filled with 4 cm of mercury
and 4 cm of water? Water has a density of 1000 kg/m3, and mercury has a density
13.6 times as great.
The left-hand side of an open U-tube has a radius r1 = 0.82 cm, and the right-hand side has a radius r2 = 0.41 cm. Mercury and oil are poured into the U-tube. The density of mercury is 13.6 g/cm3. The heights shown in the diagram are h1 = 3.50 cm and h2 = 57.3 cm. The density of the oil is approximately
A small sphere of wood with a density ρ = 0.40 g/cm3 is held at rest well under the
surface of a pool of water. The magnitude of the initial acceleration of the sphere
when it is released is
Two pistons of a hydraulic lift have radii of 2.67 cm and 20.0 cm. The downward
force on the 2.67-cm piston that is required to lift a mass of 2000 kg supported by
the 20-cm piston is
A ball bearing that has a density of 5.16 g/cm3 is held at rest under the surface of a
liquid that has a density of 2.50 g/cm3. The magnitude of the acceleration of the ball bearing just after it is released is
If a column of liquid 52 cm high supports a column of mercury (ρ = 13.6 g/cm3) 10
cm high, the density of the liquid is
Pressure as a function of depth for a certain liquid is plotted on the graph. What is
the density of the liquid?
A block of ice 30.5 cm thick floating in fresh water just supports a man weighing 801
N. If the specific gravity of ice is 0.917, the smallest area the block can have is
A solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged
in a liquid of density 800 kg/m3. A lightweight cord is now tied to the sphere and is
used to pull the sphere under the surface and hold it completely submerged. What is
the tension in the cord?
A block of wood of relative density 0.750 and dimensions 20.3 cm ∞ 30.5 cm ∞ 40.6
cm is tossed into a choppy freshwater lake. After a reasonable time, the
approximate vertical dimension above the water will be
A metal block suspended from a spring balance is submerged in water. You observe
that the block displaces 55 cm3 of water and that the balance reads 4.3 N. What is
the density of the block?
A block of wood of mass 300 g and density 0.75 g/cm3
is floating on the surface of a
liquid of density 1.1 g/cm3
. What mass of lead (density = 11.3 g/cm3
) must be added
to the block in order for the combination just to be submerged?
A raft of density 700 kg/m3
has a surface area of 7.0 m2
and a volume of 0.7 m3
.
What depth does it sink into water of density 1000 kg/m3
?
A large spherical air balloon is filled with helium. If the balloon is to lift three
people, each approximately 80 kg, plus a basket and balloon outer covering material
of mass 50 kg, calculate the minimum radius of the balloon. Assume values of the
density of air and helium to be 1.29 kg/m3
and 0.18 kg/m3
respectively.
Water from a tap is flowing at a uniform rate of 24 cm3
/s into a cylindrical container.
An exit tube is mounted on the side of the container at height h/2 from the base.
The height h of the water remains constant. The volume flow at which the water
leaves the container is
The drag force on a plane is proportional to the density of the air. By what factor
does the drag force change if a plane goes from an altitude 5.5 km to 11 km? The
atmospheric pressure goes from to atm in going from 5.5 km to 11 km. Assume
that the plane is at level flight and flies at the same speed
Water flows at speed v in a pipe of radius r. Neglecting viscosity, at what speed does
the water flow through a constriction in which the radius of the pipe is r/3?
Cities across the U.S. supply fresh water to the residents at constant pressure by the
use of water towers. If the diameter, d2, of the pipe coming out of the tower is 25
cm, and the diameter, d1, of the pipe at your home is 2.0 cm, what is the ratio of the
velocity of the water at d1 compared to d2? Assume that all the taps are off except
yours.
A pipe of 2.54 cm inside diameter has a constriction in which the inside diameter is
1.27 cm. If water is flowing through this pipe with a velocity of 1.22 m/s in the main section, the velocity in the constricted section is
horizontal pipe of 30 cm2 cross-sectional area carries water at a speed of 2.5 m/s.
This pipe feeds a smaller pipe of cross section 10 cm2. Find the speed of water flow
in the smaller pipe.
As part of a science project you investigate the effect of punching holes in a plastic
container of water and observing the flow of liquid out of the different holes. If the
container has a water level 20 cm above the base and you punch a hole in the side
12 cm high, calculate the speed at which water will initially flow out of the hole.
A hypodermic needle can be thought of as a large area pipe leading to a small area
pipe that opens into the vein. The diameter of the plunger is 1.2 cm and the needle
diameter is 0.15 cm. If the gauge pressure in the vein is 25 mmHg, what minimum
force is needed on the plunger in order for a fluid flow into the vein to occur?
A pump is used to circulate oil in an engine. If the diameter of the tube connecting
the pump to the engine is increase by a factor of 2, the resulting pressure drop at the end of the tube changes by a factor of
. In simple harmonic motion, the displacement x = A cos ωt and the acceleration a = –
ω2x. If A = 0.25 m and the period is 0.32 s, the acceleration when t = 0.12 s is
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