Physics for Scientists and Engineers (AP Edition)
9th Edition
ISBN: 9781133953951
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 1, Problem 1.8OQ
(a)
To determine
Whether the equation must be true or not if it is dimensionally correct.
(b)
To determine
Whether the equation must be true or not if it is dimensionally incorrect.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A small cube of iron is observed under a microscope. The edge of the cube is 3.00 x 10-6 cm long. The atomic mass of iron is 55.9 u, and its density is 7.86 g/cm³.
(a) Find the mass of the cube.
(b) Find the number of iron atoms in the cube.
atoms
(a)
How many significant figures are in the numbers 999.0 and 1000.0?
999.01000.0
(b)
If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.)
999.0 %1000.0 %
(c)
Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
Which of the following equations are dimensionally consistent? (a) v = at, (b) v = 12at2, (c) t = a>v, (d) v2 = 2ax.
Chapter 1 Solutions
Physics for Scientists and Engineers (AP Edition)
Ch. 1 - In a machine shop, two cams are produced, one of...Ch. 1 - True or False: Dimensional analysis can give you...Ch. 1 - The distance between two cities is 100 mi. What is...Ch. 1 - One student uses a meterstick to measure the...Ch. 1 - A house is advertised as having 1 420 square feet...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...Ch. 1 - Rank the following five quantities in order from...Ch. 1 - Prob. 1.6OQCh. 1 - Prob. 1.7OQ
Ch. 1 - Prob. 1.8OQCh. 1 - Newtons second law of motion ((Chapter 5) says...Ch. 1 - A calculator displays a result as 1.365 218 0 X...Ch. 1 - Suppose the three fundamental standards of the...Ch. 1 - Why is the metric system of units considered...Ch. 1 - What natural phenomena could serve as alternative...Ch. 1 - Express the following quantities using the...Ch. 1 - Prob. 1.1PCh. 1 - The standard kilogram (Fig. 1.1a) is a...Ch. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - A crystalline solid consists of atoms stacked up...Ch. 1 - The mass of a copper atom is 1 06 10-25 kg, and...Ch. 1 - Prob. 1.9PCh. 1 - Figure P1.10 shows a frustum of a cone. Match each...Ch. 1 - Kinetic energy K (Chapter 7) has dimensions kg ...Ch. 1 - Prob. 1.12PCh. 1 - The position of a particle moving under uniform...Ch. 1 - (a) Assume the equation x = At3 + Bt describes the...Ch. 1 - A solid piece of lead has a mass of 23.94 g and a...Ch. 1 - An ore loader moves 1 200 tom/h from a mine to the...Ch. 1 - A rectangular building lot has a width of 75.0 ft...Ch. 1 - Suppose your hair grows at the rate 1/32 in. per...Ch. 1 - Why is the following situation impossible? A...Ch. 1 - A pyramid has a bright of 481 ft, and its base...Ch. 1 - The pyramid described in Problem 20 contains...Ch. 1 - Assume it takes 7.00 min to fill a 30.0-gal...Ch. 1 - A section of land has an area of 1 square mile and...Ch. 1 - A house is 50.0 ft long and 26 ft wide and has...Ch. 1 - Prob. 1.25PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - One gallon of paint (volume = 3.78 103 m3) covers...Ch. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Find the order of magnitude of the number of...Ch. 1 - (a) Compute the order of magnitude of the mass of...Ch. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 1.34PCh. 1 - A rectangular plate has a length of (21.310.2) cm...Ch. 1 - How many significant figures are in the following...Ch. 1 - The tropical year, the time interval from one...Ch. 1 - Carry out the arithmetic operations (a) the sum of...Ch. 1 - Review. In a community college parking lot, the...Ch. 1 - Review. While you arc on a trip to Europe, you...Ch. 1 - Review. A child is surprised that because of sales...Ch. 1 - Prob. 1.42PCh. 1 - Review. The ratio of the number of sparrows...Ch. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Review. Prove that one solution of the equation...Ch. 1 - Prob. 1.47PCh. 1 - Review. A highway curve forms a section of a...Ch. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Review. A student is supplied with a stack of copy...Ch. 1 - The radius of a uniform solid sphere is measured...Ch. 1 - A sidewalk is to be constructed around a swimming...Ch. 1 - Collectible coins are sometimes plated with gold...Ch. 1 - Prob. 1.55APCh. 1 - (a) What is the order of magnitude of the number...Ch. 1 - The diameter of our disk-shaped galaxy, the Milky...Ch. 1 - Why is the following situation impossible? In an...Ch. 1 - A high fountain of water is located at the center...Ch. 1 - A water fountain is at the center of a circular...Ch. 1 - The data in the following table represent...Ch. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Assume there are 100 million passenger cars in the...Ch. 1 - A spherical shell has an outside radius of 2.60 cm...Ch. 1 - Bacteria and other prokaryotes are found deep...Ch. 1 - Air is blown into a spherical balloon so that,...Ch. 1 - A rod extending between x = 0 and x = 14.0 cm has...Ch. 1 - In physics, it is important to use mathematical...Ch. 1 - The consumption of natural gas by a company...Ch. 1 - A woman wishing to know the height of a mountain...Ch. 1 - Prob. 1.71APCh. 1 - Prob. 1.72APCh. 1 - You stand in a flat meadow and observe two cows...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- One 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_forwardConsider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 . Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a)F=ma;(b)K=0.5mv2;(c)p=mv;(d)W=mas;(e)L=mvrarrow_forwardRoughly how many heartbeats are there in a lifetime?arrow_forward
- If an equation is not dimensionally correct, does that mean that the equation cannot be true? yes noarrow_forwardConsider the physical quantities m, s, v, a, t, and r with dimensions [m] = M, [s] = L, [v] = LT–1, [a] = LT–2, [t] = T, and [r] = L. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a) F = ma; (b) K = 0.5mv2; (c) p = mv; (d) W = mas; (e) L = mvr.arrow_forwardConsider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT–1, [a] = LT–2, and [t] = T. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a) F = ma; (b) K = 0.5mv2; (c) p = mv; (d) W = mas; (e) L = mvr.arrow_forward
- If an equation is dimensionally correct, does this mean that the equation must be true? If an equation is not dimensionally correct, does this mean the equation can’t be true?arrow_forward(a) Find a conversion factor to convert from miles per hour to kilometers per hour. 1 mi/h = km/h (b) In the past, a federal law mandated that highway speed limits would be 55 mi/h. Use the conversion factor of part (a) to find this speed in kilometers per hour. km/h (c) The maximum highway speed is now 70 mi/h in some places. In kilometers per hour, how much increase is this over the 55 mi/h limit? km/h Need Help? Read Itarrow_forwardA partly-full paint can has 0.711 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 10.6 m²), how thick is the layer of wet paint? Give your answer in meters. (a) Number i (b) Number i Units Units <arrow_forward
- The volume of the rectangular block in the figure is calculated from the following measurements of its dimensions: a 10.00 0.10 cm, b 5.00+0.06 cm and c-4.00+ 0.04 cm. Calculate the error in the value of the volume of the block assuming (a) the errors are independent (b) the errors are correlated such that they all push the estimate in the same directionarrow_forwardA shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah is dimensionally correct.arrow_forwardThe number of viruses (V , measured in trillions or 10¹²) that infect a person is a function of the degree of immunosuppression (I, the fraction of the immune system that is turned off by stress) according to V(I) = 5I². The fever (F, measured in ◦C) associated with an infection is a function of the number of viruses according to F(V) = 37 + 0.4V. Find fever as a function of immunosuppression. How high will the fever be if immunosuppression is complete (I = 1)?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning