EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100454897
Author: Jewett
Publisher: YUZU
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Textbook Question
Chapter 1, Problem 1.1CQ
Suppose the three fundamental standards of the metric system were length, density, and time rather than length, mass, and time. The standard of density in this system is to be defined as that of water. What considerations about water would you need to address to make sure that the standard of density is as accurate as possible?
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Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the
physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
Lo = mur
[Lo] =
W = mar
[W] =
T
The SI units of mass density are kg/m3, but there are several other common units. One of the most commonly used units of mass density is gram per cubic centimeter, or g/cc. This is because pure water has a mass density of 1 g/cc. It turns out that 1 mL of liquid is equal to 1 cc of volume. So it is also possible to express the mass density of water as 1 g/mL. This makes water a useful tool since it is possible to use graduated cylinders to measure volumes.An object with a mass of 61.0 g displaces 785.0 ml of water when it is completely immersed. What is the buoyant force on the mass? (Use g = 9.8 N/kg
as necessary.)
You are a team leader at a pharmaceutical company. Several technicians are
preparing samples, and you want to compare the densities of the samples (density = mass/volume)
by using the mass and volume values they have reported. Unfortunately, you did not specify
what units to use. The technicians used a variety of units in reporting their values, as shown
in the following table.
Sample ID
Mass
Volume
A
8.00 g
1.67 × 10–6 m³
9.38 x 106um³
6.00µg
8.00mg
9.00 × 10-4 kg 2.81 × 10³ mm³
9.00 x 104ng
6.00 x 10-2mg 1.25 × 10 µm³
В
C
2.50 x 10¬3 cm³
3
E
1.41 x 10-2 mm3
3
F
List the sample IDs in order of increasing density of the sample.
Chapter 1 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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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...
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