Problem 1a
Starting with the definition 1 in. = 2.54 cm, find the number of kilometers in 1.00 mile
Problem 1.4
The density of gold is 19.3 g/cm3. What is this value in kilograms per cubic meter?
Problem 2
According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.
Problem 3
How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)
Problem 5
The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
Problem 6
A square field measuring 100.0 m by 100.0 m has an area of 1.00 hectare. An acre has an area of 43,600 ft2. If a lot has an area of 12.0 acres, what is its area in hectares?
Problem 8
While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this?
Problem 9a
A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (L = liter).
Problem 11
In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?
Problem 12d
The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.
Problem 13
Bacteria vary in size, but a diameter of 2.0 μm is not unusual. What are the volume (in cubic centimeters) and surface area (in square millimeters) of a spherical bacterium of that size?
Ch 01: Units, Physical Quantities & Vectors