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... format_list_bulleted