College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 1, Problem 4P
Each of the following equations was given by a student during an examination: (a)
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Which of the following is/are NOT acceptable if a and b are two quantities with distinct dimensions? (There may be many right answers.)
Choices:a. a x bb. a / bc. a - bd. a + b
Each of the following equations was given by a student during an examination. Do a dimensional analysis of each equation and explain why the equation can't be correct.
(2) m² = mv,+ Vmgh
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(b) v = vo + at?
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(c) ma = v2
Using dimensional analysis, determine the unit of the physical quantity, C in the equation A=B+CD; where A=B=m/s and D=s.
Chapter 1 Solutions
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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- Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103arrow_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_forwardUnits and Standards What is the difference between a base unit and a derived unit? (b) What is the difference between a base quantity and a derived quantity? (c) What is the difference between a base quantity and a base unit?arrow_forward
- Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/arrow_forwardA sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forward
- A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51arrow_forwardOne student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardA surveyor measures the distance across a straight river by the following method (Fig. P1.6). 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 0 = 35.0. How wide is the river? Figure P1.6arrow_forward
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