College Physics 10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Introduction 2 Motion In One Dimension 3 Vectors And Two-Dimensional Motion 4 The Laws Of Motion 5 Energy 6 Momentum And Collisions 7 Rotational Motion And The Law Of Gravity 8 Rotational Equilibrium And Rotational Dynamics 9 Solids And Fluids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Electric Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles Chapter1: Introduction
1.1 Standards Of Length, Mass, And Time 1.2 The Building Blocks Of Matter 1.3 Dimensional Analysis 1.4 Uncertainty In Measurement And Significant Figures 1.5 Conversion Of Units 1.6 Estimates And Order-of-Magnitude Calculations 1.7 Coordinate Systems 1.8 Trigonometry 1.9 Problem-SolvingStrategy Chapter Questions Section: Chapter Questions
Problem 1WUE: Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309 Problem 2WUE: Math Review Simplify the following expression in terms of the dimensions mass, length, and time... Problem 3WUE: Simplify the following expression, combining terms as appropriate and combining and canceling units.... Problem 4WUE: The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 2.00-m... Problem 5WUE: A house is advertised as having 1 420 square feet under roof. What is the area of this house in... Problem 6WUE: A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the... Problem 7WUE: Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 +... Problem 8WUE: Find the polar coordinates corresponding to a point located at (5.00, 12.00) in Cartesian... Problem 9WUE Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)... Problem 2CQ: What types of natural phenomena could serve as time standards? Problem 3CQ: Find the order of magnitude of your age in seconds. Problem 4CQ: An object with a mass of 1 kg weighs approximately 2 lb. Use this information to estimate the mass... Problem 5CQ: (a) Estimate the number of times your heart beats in a month, (b) Estimate the number of human... Problem 6CQ: Estimate the number of atoms in 1 cm5 of a solid. (Note that the diameter of an atom is about 1010... Problem 7CQ: The height of a horse is sometimes given in units of hands. Why is this a poor standard of length? Problem 9CQ Problem 10CQ: Why is the metric system of units considered superior to most other systems of units? Problem 11CQ: How can an estimate be of value even when it is off by on order of magnitude? Explain and give an... Problem 12CQ: Suppose two quantities, A and B, have different dimensions. Determine which of the following... Problem 13CQ: Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding... Problem 1P: The period of a simple pendulum, defined as the time necessary for one complete oscillation, is... Problem 2P: (a) Suppose the displacement of an object is related to time according to the expression x = Bt2.... Problem 3P: A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah... Problem 4P: Each of the following equations was given by a student during an examination: (a) 12mv2=12mv02+mgh... Problem 5P Problem 6P: Kinetic energy KE (Topic 5) has dimensions kg m2/s2. It can be written in terms of the momentum p... Problem 7P: A carpet is to be installed in a room of length 9.72 m and width 5.3 m. Find the area of the mom... Problem 8P Problem 9P: How many significant figures are there in (a) 78.9 0.2, (b) 3.788 109, (c) 2.46 1026, (d) 0.003 2 Problem 10P: The speed of light is now defined to be 2.997 924 58 108 m/s. Express the speed of light to (a)... Problem 11P: A block of gold has length 5.62 cm. width 6.35 cm, and height 2.78 cm. (a) Calculate the length... Problem 12P: The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the... Problem 13P: The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the... Problem 14P: Carry out the following arithmetic operations: (a) the sum of the measured values 756, 37.2, 0.83,... Problem 15P: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is... Problem 16P: A small turtle moves at a speed of 186 furlongs per fortnight. Find the speed of the turtle in... Problem 17P: A firkin is an old British unit of volume equal to 9 gallons. How many cubic meters are there in... Problem 18P: Find the height or length of these natural wonders in kilometers, meters, and centimeters: (a) The... Problem 19P: A car is traveling at a speed of 38.0 m/s on an interstate high-way where the speed limit is 75.0... Problem 20P: A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in... Problem 21P: The diameter of a sphere is measured to be 5.36 in. Find (a) the radius of the sphere in... Problem 22P: Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in... Problem 23P: The speed of light is about 3.00 108 m/s. Convert this figure to miles per hour. Problem 24P: A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the... Problem 25P: The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers... Problem 26P: The base of a pyramid covers an area of 13.0 acres (1 acre = 43 560 ft2) and has a height of 481 ft... Problem 27P: A quart container of ice cream is to be made in the form of a cube. What should be the length of a... Problem 28P: Estimate the number of steps you would have to take to walk a distance equal to the circumference of... Problem 29P: Estimate the number of breaths taken by a human being during an average lifetime. Problem 30P: Estimate the number of people in the world who are suffering from the common cold on any given day.... Problem 31P: (a) About how many microorganisms are found in the human intestinal tract? (A typical bacterial... Problem 32P: Treat a cell in a human as a sphere of radius 1.0 m. (a) Determine the volume of a cell. (b)... Problem 33P: An automobile tire is rated to last for 50 000 miles. Estimate the number of revolutions the tire... Problem 34P: Bacteria and other prokaryotes are found deep underground, in water, and in the air. One micron (106... Problem 35P: A point is located in a polar coordinate system by the coordinates r = 2.5 m and = 35. Find the x-... Problem 36P: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is... Problem 37P: Express the location of the fly in Problem 40 in polar coordinates. Problem 38P: Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (3.0, 4.0), where... Problem 39P: Two points are given in polar coordinates by (r, ) = (2.00 m, 50.0) and (r, ) = (5.00 m, 50.0),... Problem 40P: Given points (r1, 1) and (r2, 2) in polar coordinates, obtain a general formula for the distance... Problem 41P: For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent... Problem 42P: A ladder 9.00 m long leans against the side of a building. If the ladder is inclined at an angle of... Problem 43P: A high fountain of water is located at the center of a circular pool as shown in Figure P1.47. Not... Problem 44P: A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0. What are the... Problem 45P: In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c)... Problem 46P: In a certain right triangle, the two sides that are perpendicular to each other are 5.00 m and 7.00... Problem 47P: In Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side? Problem 48P Problem 49P: A surveyor measures the distance across a straight river by the following method: starting directly... Problem 50P Problem 51AP: (a) One of lire fundamental laws of motion states that the acceleration of an object is directly... Problem 52AP: (a) Find a conversion factor to convert from miles per hour to kilometers per hour. (b) For a while,... Problem 53AP: One cubic centimeter (10 cm3) of water has a mass of 1.0 103 kg. (a) Determine the mass of 1.0 m3... Problem 54AP Problem 55AP: The displacement of an object moving under uniform acceleration is some function of time and the... Problem 56AP: Assume it takes 7.00 minutes to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the... Problem 57AP: One gallon of paint (volume = 3.79 103 m3) covers an area of 25.0 m2. What is the thickness of the... Problem 58AP: A sphere of radius r has surface area A = 4r2 and volume V = (4/3)r3. If the radius of sphere 2 is... Problem 59AP: Assume there are 100 million passenger can in the United States and that the average fuel... Problem 60AP Problem 61AP: (a) How many seconds are there in a year? (b) If one micrometeorite (a sphere with a diameter on the... Problem 62AP: Imagine that you are the equipment manager of a professional baseball team. One of your jobs is to... Problem 63AP: The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away... Problem 12P: The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the...
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Concept explainers
Using partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N , the angular velocity w = (29.2 ± 0.3) rad/s , and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2 R). Express the result in the form m = m + Δm
ANSWER IS 0.20 +- 0.03 KG
Transcribed Image Text: Experimental Uncertainty
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Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path
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