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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

A thin sheet of gold foil has an area of 3.12 cm2 and a mass of 6.50 mg. How thick is the sheet? The density of gold is 19 300 kg/m3.
A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.035 0 cm when a load of 8.00 kg is hung on its end. Find the stress, the strain, and the Young’s modulus for the material of the wire.
A solid cylindrical steel column is 4.0 m long and 9.0 cm in diameter. What will be its decrease in length when carrying a load of 80 000 kg? Y=1.9 × 1011 Pa.
Atmospheric pressure is about 1.01 × 105 Pa. How large a force does the atmosphere exert on a 2.0-cm2 area on the top of your head?
A 60-kg woman stands on a light, cubical box that is 5.0 cm on each edge. The box sits on the floor. What pressure does the box exert on the floor?
The bulk modulus of water is 2.1 GPa. Compute the volume contraction of 100 mL of water when subjected to a pressure of 1.5 MPa.
A box-shaped piece of gelatin dessert has a top area of 15 cm2 and a height of 3.0 cm. When a shearing force of 0.50 N is applied to the upper surface, the upper surface displaces 4.0 mm relative to
A vertical wire 5.0 m long and of 0.008 cm2 cross-sectional area has a modulus Y = 200 GPa. A 2.0-kg object is fastened to its end and stretches the wire elastically. If the object is now pulled down
The moon is approximately a sphere with a mean radius of 1.74 × 106 m. Determine its approximate volume and its mass.
What is the mass of a cubic block of ice, 100 cm on each side? How much does it weigh, in both newtons and pounds?
A cylindrical container 1.2 m high with a radius of 0.50 m is filled with olive oil. Compute the volume and the mass of the oil. How much does the oil weigh?
What is the value of the specific gravity of ether?
Find the density and specific gravity of ethyl alcohol if 63.3 g occupies 80.0 mL.
Determine the volume of 200 g of carbon tetrachloride, for which sp gr = 1.60.
The density of aluminum is 2.70 g/cm3. What volume does 2.00 kg occupy?
Determine the mass of an aluminum cube that is 5.00 cm on each edge. The density of aluminum is 2700 kg/m2.
A drum holds 200 kg of water or 132 kg of gasoline. Determine for the gasoline (a) Its specific gravity and (b) ρ in kg/m3.
Air has a density of 1.29 kg/m3 under standard conditions. What is the mass of air in a room with dimensions 10.0 m × 8.00 m × 3.00 m?
What is the density of the material in the nucleus of the hydrogen atom? The nucleus can be considered to be a sphere of radius 1.2 × 10-15 m and its mass is 1.67 × 10-27 kg. The volume of a sphere
To determine the inner radius of a uniform capillary tube, the tube is filled with mercury. A column of mercury 2.375 cm long is found to have a mass of 0.24 g. What is the inner radius r of the
Battery acid has a specific gravity of 1.285 and is 38.0 percent sulfuric acid by weight. What mass of sulfuric acid is contained in a liter of battery acid?
A thin, semitransparent film of gold (ρ = 19 300 kg/m3) has an area of 14.5 cm2 and a mass of 1.93 mg. (a) What is the volume of 1.93 mg of gold? (b) What is the thickness of the film in
In an unhealthy, dusty cement mill, there were 2.6 × 109 dust particles (sp gr = 3.0) per cubic meter of air. Assuming the particles to be spheres of 2.0 μm diameter, calculate the mass of
A gold wire fixed to a ceiling hook supports a load and experiences a strain of 5.0 × 10-3. Determine the stress in the wire.
A bronze rod fixed to a ceiling supports a load of 40.0 KN (17.8 × 104 lb). The rod is 30.0 m long and has a square cross-section of 1.00 cm by 1.00 cm. By how much has the rod been stretched by the
Determine the fractional change in volume as the pressure of the atmosphere (1 × 105 Pa) around a metal block is reduced to zero by placing the block in vacuum. The bulk modulus for the metal is 125
Compute the volume change of a solid copper cube, 40 mm on each edge, when subjected to a pressure of 20 MPa. The bulk modulus for copper is 125 GPa.
The compressibility of water is 5.0 × 10-10 m2/N. Find the decrease in volume of 100 mL of water when subjected to a pressure of 15 MPa.
Two parallel oppositely directed forces, each 4000 N, are applied tangentially to the upper and lower faces of a cubical metal block 25 cm on a side. Find the angle of shear and the displacement of
A 60-kg motor sits on four cylindrical rubber blocks. Each cylinder has a height of 3.0 cm and a cross-sectional area of 15 cm2. The shear modulus for this rubber is 2.0 MPa. (a) If a sideways force
An 80-kg metal cylinder, 2.0 m long and with each end of area 25 cm2, stands vertically on one end. What pressure does the cylinder exert on the floor?
Atmospheric pressure is about 1.0 × 105 Pa. How large a force does the still air in a room exert on the inside of a window pane that is 40 cm × 80 cm?
Find the pressure due to the fluid at a depth of 76 cm in still (a) Water (ρw = 1.00 g/cm3) and (b) Mercury (ρ = 13.6 g/cm3).
When a submarine dives to a depth of 120 m, to how large a total pressure is its exterior surface subjected? The density of seawater is about 1.03 g/cm3.
How high would water rise in the essentially open pipes of a building if the water pressure gauge shows the pressure at the ground floor to be 270 kPa (about 40 lb/in2.)?
A reservoir dam holds an 8.00-km2 lake behind it. Just behind the dam, the lake is 12.0 m deep. What is the water pressure (a) At the base of the dam and (b) At a point 3.0 m down from the lake’s
A mass (or load) acting downward on a piston confines a fluid of density ρ in a closed container, as shown in Fig. 13-2. The combined weight of the piston and load on the right is 200 N, and the
In a hydraulic press such as the one shown in Fig. 13-3, the large piston has cross-sectional area A1 = 200 cm2 and the small piston has cross-sectional area A2 = 5.0 cm2. If a force of 250 N is
For the system shown in Fig. 13-4, the cylinder on the left, at L, has a mass of 600 kg and a crosssectional area of 800 cm2. The piston on the right, at S, has a cross-sectional area of 25 cm2 and a
A barrel will rupture when the gauge pressure within it reaches 350 kPa. It is attached to the lower end of a vertical pipe, with the pipe and barrel filled with oil (ρ = 890 kg/m3). How long can
As shown in Fig. 13-5, a column of water 40 cm high supports a 31-cm column of an unknown liquid. What is the density of that liquid? 40 cm U A Fig. 13-5 31 cm
A vertical test tube has 2.0 cm of oil (ρ = 0.80 g/cm3) floating on 8.0 cm of water. What is the pressure at the bottom of the tube due to the liquid in it?
The U-tube device connected to the tank in Fig. 13-6 is called a manometer. As you can see, the mercury in the tube stands higher in one side than the other. What is the pressure in the tank if
The mass of a block of aluminum is 25.0 g. (a) What is its volume? (b) What will be the tension in a string that suspends the block when the block is totally submerged in water? The density of
Using a scale, a piece of alloy has a measured mass of 86 g in air and 73 g when immersed in water. Find its volume and its density.
The density of ice is 917 kg/m3. What fraction of the volume of a piece of ice will be above the liquid when floating in fresh water?
A 60-kg rectangular box, open at the top, has base dimensions of 1.0 m by 0.80 m and a depth of 0.50 m. (a) How deep will it sink in fresh water? (b) What weight FWb of ballast will cause it to
A foam plastic (ρp = 0.58 g/cm3) is to be used as a life preserver. What volume of plastic must be used if it is to keep 20 percent (by volume) of an 80-kg man above water in a lake? The average
A partly filled beaker of water sits on a scale, and its weight is 2.30 N. When a piece of metal suspended from a thread is totally immersed in the beaker (but not touching bottom), the scale reads
A piece of pure gold (ρ = 19.3 g/cm3) is suspected to have a hollow center. It has a mass of 38.25 g when measured in air and 36.22 g in water. What is the volume of the central hole in the gold?
A wooden cylinder has a mass m and a base area A. It floats in water with its axis vertical. Show that the cylinder undergoes SHM if given a small vertical displacement. Find the frequency of its
The sole of a man’s size-10 shoe is around 11.0 in. by 4.00 in. Determine the gauge pressure under the feet of a 200-lb man standing upright. Give your answer in both lb/in.2 and Pa. [1.00 lb/in2 =
A 60-kg performer balances on a cane. The end of the cane in contact with the floor has an area of 0.92 cm2. Find the pressure exerted on the floor by the cane.
What is the gauge pressure 1.00 m under pure water at around 4.0 °C?
During the Second World War, submarine S51 sank in 90 ft of water off Block Island. Divers passed cables under its hull. At what gauge pressure did they work?
In 2010 the U.S. Center for Coastal and Ocean Mapping measured the deepest known point of the Earth’s oceans in the Mariana Trench. It was 10 994 m (36 070 ft) deep, more than a mile taller than
A large tank of benzene is open on top. Determine the absolute pressure 10.0 m down from the surface in the liquid.
A large open rectangular tank 2.00 m by 2.00 m by 11.0 m deep is filled with ethyl alcohol to a depth of 10.0 m. What is the value of the net force exerted by the liquid on the bottom of the tank?
A certain town receives its water directly from a water tower. If the top of the water in the tower is 26.0 m above the water faucet in a house, what should be the water pressure at the faucet?
At a height of 10 km (33 000 ft) above sea level, atmospheric pressure is about 210 mm of mercury. What is the net resultant normal force on a 600 cm2 window of an airplane flying at this height?
A narrow tube is sealed onto a tank as shown in Fig. 13-8. The base of the tank has an area of 80 cm2.(a) Remembering that pressure is determined by the height of the column of liquid, find the force
Repeat Problem 13.35, but now find the force on the top wall of the tank due to the oil.Problem 13.35A narrow tube is sealed onto a tank as shown in Fig. 13-8. The base of the tank has an area of 80
Compute the pressure required for a water supply system that will raise water 50.0 m vertically.
The output area A1 of the piston in the hydraulic press in Fig. 13-3 is 400 cm2, and it supports a load of 600 kg. What must be the input area A2 if an input force of 100 N is to keep the load in
For the press in Fig. 13-3, the ratio of the output cross-sectional area to the input cross-sectional area is 1000:1.000. If the load is 10 000 N, what input force will hold it in equilibrium?
A cubic covered tank 5.00 m by 5.00 m by 5.00 m is completely filled with water through an 8.00-cm2 hole in its lid. A plug is then forced into the hole with a vertical force of 200 N. What change in
For the hydraulic press in Fig. 13-3, the ratio of the output force to the input force is 800:1.00. If the load is to be raised 2.00 m, how far must the input piston be moved downward? Assume there
The area of a piston of a force pump is 8.0 cm2. What force must be applied to the piston to raise oil (ρ = 0.78 g/cm2) to a height of 6.0 m? Assume the upper end of the oil is open to the
The diameter of the large piston of a hydraulic press is 20 cm, and the area of the small piston is 0.50 cm2. If a force of 400 N is applied to the small piston, (a) What is the resulting force
An iron cube 20.0 cm on each side is submerged in a tank filled with olive oil. Determine the buoyant force on the cube.
The cube in the previous problem is attached to a scale and weighed while it is submerged. Determine the scale reading.Previous problemAn iron cube 20.0 cm on each side is submerged in a tank filled
A metal cube, 2.00 cm on each side, has a density of 6600 kg. Find its apparent mass when it is totally submerged in water.
A solid wooden cube, 30.0 cm on each edge, can be totally submerged in water if it is pushed downward with a force of 54.0 N. What is the density of the wood?
A metal object “weighs” 26.0 g in air and 21.48 g when totally immersed in water. What is the volume of the object? What is its mass density?
A solid piece of aluminum (ρ = 2.70 g/cm3) has a mass of 8.35 g when measured in air. If it is hung from a thread and submerged in a vat of oil (ρ = 0.75 g/cm3), what will be the tension in the
A beaker contains oil of density 0.80 g/cm3. A 1.6-cm cube of aluminum (ρ = 2.70 g/cm3) hanging vertically on a thread is submerged in the oil. Find the tension in the thread.
A tank containing oil of sp gr = 0.80 rests on a scale and weighs 78.6 N. By means of a very fine wire, a 6.0 cm cube of aluminum, sp gr = 2.70, is submerged in the oil. Find (a) The tension in the
Downward forces of 45.0 N and 15.0 N, respectively, are required to keep a plastic block totally immersed in water and in oil, respectively. If the volume of the block is 8000 cm3, find the density
Determine the unbalanced force acting on an iron ball (r = 1.5 cm, ρ = 7.8 g/cm3) when just released while totally immersed in (a) Water and (b) Mercury (ρ = 13.6 g/cm3). What will be the
A 2.0-cm cube of metal is suspended by a fine thread attached to a scale. The cube appears to have a mass of 47.3 g when measured submerged in water. What will its mass appear to be when submerged in
A balloon and its gondola have a total (empty) mass of 2.0 × 102 kg. When filled, the balloon contains 900 m3 of helium at a density of 0.183 kg. Find the added load, in addition to its own weight,
A piece of metal has a measured mass of 5.00 g in air, 3.00 g in water, and 3.24 g in benzene. Determine the mass density of the metal and of the benzene.
A spring whose composition is not completely known might be either bronze (sp gr 8.8) or brass (sp gr 8.4). It has a mass of 1.26 g when measured in air and 1.11 g in water. Which is it made of?
What fraction of the volume of a piece of quartz (ρ = 2.65 g/cm3) will be submerged when it is floating in a container of mercury (ρ = 13.6 g/cm3)?
A cube of wood floating in water supports a 200-g mass resting on the center of its top face. When the mass is removed, the cube rises 2.00 cm. Determine the volume of the cube.
Suppose we have a spring scale that reads in grams and we measure the mass of a cork in air to be 5.0 g. Using the same scale, it is found that a sinker has an apparent mass of 86 g when completely
On a day when the pressure of the atmosphere is 1.000 × 105 Pa, a chemist distills a liquid under slightly reduced pressure. The pressure within the distillation chamber is read by an oil-filled
A wind tunnel is to be used with a 20-cm-high model car to approximately reproduce the situation in which a 550-cm-high car is moving at 15 m/s. What should be the wind speed in the tunnel? Is the
Oil flows through a 4.0-cm-i.d. (i.e., inner diameter) pipe at an average speed of 2.5 m/s. Find the flow in m3/s and cm3/s.
Compute the average speed of water in a pipe having an i.d. of 5.0 cm and delivering 2.5 m3 of water per hour.
The speed of glycerin flowing in a 5.0-cm-i.d. pipe is 0.54 m/s. Find the fluid’s speed in a 3.0-cm-i.d. pipe that connects with it, both pipes flowing full.
Gasoline flows through a pipe whose cross-sectional area is 100 cm2 at an average speed of 3.0 m/s. Determine the flow rate.
Water is delivered at an average speed of 4.0 m/s via a pipe with an open cross-sectional area of 25.0 cm2. How much water will arrive in 0.50 h?
Suppose a pipe having an opening of area 4.00 cm2 moves 2.00 m3 of oil in a time of 4.00 min. Compute the average speed of the oil along the pipe.
Wine is flowing at an average speed of 1.20 m/s through a pipe having a diameter of 4.00 cm. Near the storage vat the tube narrows to a diameter of 2.00 cm. What is the speed of the fluid in that
How long will it take for 500 mL of water to flow through a 15- cm-long, 3.0-mm-i.d. pipe, if the pressure differential across the pipe is 4.0 kPa? The viscosity of water is 0.80 cP.
A molten plastic flows out of a tube that is 8.0 cm long at a rate of 13 cm3/min when the pressure differential between the two ends of the tube is 18 cm of mercury. Find the viscosity of the
In a horizontal pipe system, a pipe (i.d. 4.0 mm) that is 20 cm long connects in line to a pipe (i.d. 5.0 mm) that is 30 cm long. When a viscous fluid is being pushed through the pipes at a steady
A hypodermic needle of length 3.0 cm and i.d. 0.45 mm is used to draw blood (η = 4.0 mPl). Assuming the pressure differential across the needle is 80 cmHg, how long does it take to draw 15 mL?
In a blood transfusion, blood flows from a bottle at atmospheric pressure into a patient’s vein in which the pressure is 20 mmHg higher than atmospheric. The bottle is 95 cm higher than the vein,

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