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- Carry out the following conversions. (c) How large in square meters is the land area of Australia (2,941,526 mi^2)?
Problem 94
- Carry out the following conversions. (b) How tall in meters is the Willis Tower, formerly called the Sears Tower, in Chicago (1454 ft)?
Problem 94
- Carry out the following conversions. (a) How many grams of meat are in a quarter-pound hamburger (0.25 lb)?
Problem 94
- A 1/4-inch-thick lead sheet is used for protection from medi-cal X rays. If a single lead atom has a diameter 350 pm, how many atoms thick is the lead sheet?
Problem 94
Problem 95a
Convert the following quantities into SI units with the correct number of significant figures. (a) 5.4 in.
Problem 95b
Convert the following quantities into SI units with the correct number of significant figures. (b) 66.31 lb
Problem 95c
Convert the following quantities into SI units with the correct number of significant figures. (c) 0.5521 gal
Problem 95d
Convert the following quantities into SI units with the correct number of significant figures. (d) 65 mi/h
Problem 95e
Convert the following quantities into SI units with the correct number of significant figures. (e) 978.3 yd3
Problem 95f
Convert the following quantities into SI units with the correct number of significant figures. (f) 2.380 mi2
- The world record for the women's outdoor 20,000-meter run, set in 2000 by Tegla Loroupe, is 1:05:26.6 (seconds are given to the nearest tenth). What was her average speed, expressed in miles per hour with the correct number of significant figures? (Assume that the race distance is accurate to 5 significant figures)
Problem 96
- In the United States, the emissions limit for carbon monoxide in motorcycle engine exhaust is 12.0 g of carbon monoxide per kilometer driven. What is this limit expressed in mg per mile with the correct number of significant figures?
Problem 97
- The volume of water used for crop irrigation is measured in acre-feet, where 1 acre-foot is the amount of water needed to cover 1 acre of land to a depth of 1 ft. (a) If there are 640 acres per square mile, how many cubic feet of water are in 1 acre-foot? (b) How many acre-feet are in Lake Erie (total volume = 116 mi^3)?
Problem 98
Problem 99a
The height of a horse is usually measured in hands instead of in feet, where 1 hand equals 1/3 ft (exactly). (a) How tall in centimeters is a horse of 18.6 hands?
Problem 99b
The height of a horse is usually measured in hands instead of in feet, where 1 hand equals 1/3 ft (exactly). (b) What is the volume in cubic meters of a box measuring 6 ⨉ 2.5 ⨉ 15 hands
- Weights in England are commonly measured in stones, where 1 stone = 14 lb. What is the weight in pounds of a person who weighs 8.65 stones?
Problem 100
Problem 101a
Concentrations of substances dissolved in solution are often expressed as mass per unit volume. For example, normal human blood has a cholesterol concentration of about 200 mg/100 mL. Express this concentration in the following units. (a) mg/L
Problem 101e
Concentrations of substances dissolved in solution are often expressed as mass per unit volume. For example, normal human blood has a cholesterol concentration of about 200 mg/100 mL. Express this concentration in the following units. (e) How much total blood cholesterol in grams does a per-son have if the normal blood volume in the body is 5 L?
- Administration of digitalis, a drug used to control atrial fibrilla-tion in heart patients, must be carefully controlled because even a modest overdose can be fatal. To take differences between patients into account, drug dosages are prescribed in terms of mg/kg body weight. Thus, a child and an adult differ greatly in weight, but both receive the same dosage per kilogram of body weight. At a dosage of 20 mg/kg body weight, how many mil-ligrams of digitalis should a 160 lb patient receive?
Problem 102
- Among many alternative units that might be considered as a measure of time is the shake rather than the second. Based on the expression 'faster than a shake of a lamb's tail,' we'll define 1 shake as equal to 2.5 * 10-4 s. If a car is traveling at 55 mi/h, what is its speed in cm/shake
Problem 103
Problem 104a
Which is larger in each pair, and by approximately how much? (a) A liter or a quart
Problem 104b
Which is larger in each pair, and by approximately how much? (b) A mile or a kilometer
Problem 104c
Which is larger in each pair, and by approximately how much? (c) A gram or an ounce
Problem 104d
Which is larger in each pair, and by approximately how much? (d) A centimeter or an inch
- The density of polystyrene, a plastic commonly used to make CD cases and transparent cups, is 0.037 lbs/in3. Calculate the density in units of g/cm3.
Problem 105
- The density of polypropylene, a plastic commonly used to make bottle caps, yogurt containers, and carpeting, is 0.55 oz/in3. Calculate the density in units of g/cm3
Problem 106
Problem 107a
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (a) What is the tanker's capacity in gallons?
Problem 107b
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (b) If the retail price of gasoline is $3.00 per gallon, what is the value of the truck's full load of gasoline?
- A 1.0-ounce piece of chocolate contains 15 mg of caffeine, and a 6.0-ounce cup of regular coffee contains 105 mg of caffeine. How much chocolate would you have to consume to get as much caffeine as you would from 2.0 cups of coffee?
Problem 108
- When an irregularly shaped chunk of silicon weighing 8.763 g was placed in a graduated cylinder containing 25.00 mL of water, the water level in the cylinder rose to 28.76 mL. What is the density of silicon in g/cm3?
Problem 109