College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 1, Problem 11CQ
How can an estimate be of value even when it is off by on order of magnitude? Explain and give an example.
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College Physics
Ch. 1 - Math Review Convert the following numbers to...Ch. 1 - Math Review Simplify the following expression in...Ch. 1 - Simplify the following expression, combining terms...Ch. 1 - The Roman cubitus is an ancient unit of measure...Ch. 1 - A house is advertised as having 1 420 square feet...Ch. 1 - A rectangular airstrip measures 32.30 m by 210 m,...Ch. 1 - Use the rules for significant figures to find the...Ch. 1 - Find the polar coordinates corresponding to a...Ch. 1 - Prob. 9WUECh. 1 - Estimate the order of magnitude of the length, in...
Ch. 1 - What types of natural phenomena could serve as...Ch. 1 - Find the order of magnitude of your age in...Ch. 1 - An object with a mass of 1 kg weighs approximately...Ch. 1 - (a) Estimate the number of times your heart beats...Ch. 1 - Estimate the number of atoms in 1 cm5 of a solid....Ch. 1 - The height of a horse is sometimes given in units...Ch. 1 - Prob. 9CQCh. 1 - Why is the metric system of units considered...Ch. 1 - How can an estimate be of value even when it is...Ch. 1 - Suppose two quantities, A and B, have different...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The period of a simple pendulum, defined as the...Ch. 1 - (a) Suppose the displacement of an object is...Ch. 1 - A shape that covers an area A and has a uniform...Ch. 1 - Each of the following equations was given by a...Ch. 1 - Prob. 5PCh. 1 - Kinetic energy KE (Topic 5) has dimensions kg ...Ch. 1 - A carpet is to be installed in a room of length...Ch. 1 - Prob. 8PCh. 1 - How many significant figures are there in (a) 78.9...Ch. 1 - The speed of light is now defined to be 2.997 924...Ch. 1 - A block of gold has length 5.62 cm. width 6.35 cm,...Ch. 1 - The radius of a circle is measured to be (10.5 ...Ch. 1 - The edges of a shoebox are measured to be 11.4 cm,...Ch. 1 - Carry out the following arithmetic operations: (a)...Ch. 1 - A fathom is a unit of length, usually reserved for...Ch. 1 - A small turtle moves at a speed of 186 furlongs...Ch. 1 - A firkin is an old British unit of volume equal to...Ch. 1 - Find the height or length of these natural wonders...Ch. 1 - A car is traveling at a speed of 38.0 m/s on an...Ch. 1 - A certain car has a fuel efficiency of 25.0 miles...Ch. 1 - The diameter of a sphere is measured to be 5.36...Ch. 1 - Suppose your hair grows at the rate of 1/32 inch...Ch. 1 - The speed of light is about 3.00 108 m/s. Convert...Ch. 1 - A house is 50.0 ft long and 26 ft wide and has...Ch. 1 - The amount of water in reservoirs is often...Ch. 1 - The base of a pyramid covers an area of 13.0 acres...Ch. 1 - A quart container of ice cream is to be made in...Ch. 1 - Estimate the number of steps you would have to...Ch. 1 - Estimate the number of breaths taken by a human...Ch. 1 - Estimate the number of people in the world who are...Ch. 1 - (a) About how many microorganisms are found in the...Ch. 1 - Treat a cell in a human as a sphere of radius 1.0...Ch. 1 - An automobile tire is rated to last for 50 000...Ch. 1 - Bacteria and other prokaryotes are found deep...Ch. 1 - A point is located in a polar coordinate system by...Ch. 1 - A certain corner of a room is selected as the...Ch. 1 - Express the location of the fly in Problem 40 in...Ch. 1 - Two points in a rectangular coordinate system have...Ch. 1 - Two points are given in polar coordinates by (r, )...Ch. 1 - Given points (r1, 1) and (r2, 2) in polar...Ch. 1 - For the triangle shown in Figure P1.45, what are...Ch. 1 - A ladder 9.00 m long leans against the side of a...Ch. 1 - A high fountain of water is located at the center...Ch. 1 - A right triangle has a hypotenuse of length 3.00...Ch. 1 - In Figure P1.49, find (a) the side opposite , (b)...Ch. 1 - In a certain right triangle, the two sides that...Ch. 1 - In Problem 50, what is the tangent of the angle...Ch. 1 - Prob. 48PCh. 1 - A surveyor measures the distance across a straight...Ch. 1 - Prob. 50PCh. 1 - (a) One of lire fundamental laws of motion states...Ch. 1 - (a) Find a conversion factor to convert from miles...Ch. 1 - One cubic centimeter (10 cm3) of water has a mass...Ch. 1 - Prob. 54APCh. 1 - The displacement of an object moving under uniform...Ch. 1 - Assume it takes 7.00 minutes to fill a 30.0-gal...Ch. 1 - One gallon of paint (volume = 3.79 103 m3) covers...Ch. 1 - A sphere of radius r has surface area A = 4r2 and...Ch. 1 - Assume there are 100 million passenger can in the...Ch. 1 - Prob. 60APCh. 1 - (a) How many seconds are there in a year? (b) If...Ch. 1 - Imagine that you are the equipment manager of a...Ch. 1 - The nearest neutron star (a collated star made...
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- (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?arrow_forwardThe purpose of this problem is to show the entire concept of dimensional consistency can be summarized but the old saying “You can’t add apples and oranges.” It you have studied power series expansions in a calculus course, you know the standard mathematical funstions such as trigonometric functions, logarithms, and exponential function can be expressed as infinite sums of the form where the an are dimensionless constants for all n = 0, 1, 2, … and x is the argument of the function. (If you have not studied power series in calculus yet, just trust us.) Use this fact to explain why the requirement that all terms in an equation have the same dimensions is sufficient as a definition of dimensional consistency. That is, it actually implies the arguments of standard mathematical funstions must be dimensional consistency. That is, it actually implies the arguments of standard mathematical functions must be dimensionless, so it is not really necessary to make this latter condition a separate requirement of the definition of dimensional consistency as we have done in this section.arrow_forwardIn general, when a derived unit becomes complicated (involves too many standard units), what is done?arrow_forward
- Suppose [V]=L3,[]=ML3, and [t]=T . (a) What is the dimension of dV? (b) What is the dimension of dV/dt? (c) What is the dimension of (dV/dt)?arrow_forwardIf you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. metersarrow_forwardCheck Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs to be mentioned is the effect of the operations of calculus on dimensions. We have seen that dimensions obey the rules of algebra, just like units, but what happens when we take the derivative of one physical quantity with respect to another or integrate a physical quantity over another? The derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities vand t , we hive that the dimension of the derivative of vwith respect to us just the ratio of the dimension of v over that of t : [dvdt]=[vt] . Similarly, since integrals are just sums of products, the dimension of the integral of vwith respect to t is simply the dimension of vtimes the dimension of t : [vdt]=[v][t] . By the same reasoning, analogous rules hold for the units of physical quantities derived from other quantities by integration or differentiation.arrow_forward
- How many significant figures does each number have? If the number is exact or if the number of significant figures is ambiguous, explain. a. 12 in the formula r12d, where r is radius and d is diameter b. 105 c. 150 d. 1.50 102 e. 1.5 102 f. 0.15 103arrow_forwardA surveyor measures the distance across a straight river by the following method (Fig. P3.7). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is = 35.0. How wide is the river?arrow_forward(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?arrow_forward
- (a) Estimate the number of times your heart beats in a month, (b) Estimate the number of human heartbeats in an average lifetime.arrow_forwardFind the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed). 18. (a) Compute the order of magnitude of the mass of a bath-arrow_forwardState how many significant figures are proper In the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) ; (b) (18.7)2 ; (c) (1.601019)(3712)arrow_forward
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