1. Intro to Physics Units

Convert 850 ft to km.

The speed of light is approximately 3.00×10⁸ m/s. Convert this speed to yards/week (yd/wk).

How many gallons are in 1 cubic meter (m³)?

Convert

2.5 m^{3}

{cm}^{3}

203

Convert the following to basic SI units or a combination of basic SI units: (d) 2.2 x 10^4 mi^2

190

Using the approximate conversion factors in Table 1.5, convert the following SI units to English units without using your calculator. (b) 25 m/s

214

Convert the following to basic SI units or a combination of basic SI units: (c) 62 ft/day

398

Bacteria vary in size, but a diameter of 2.0μm is not unusual. What are the volume (in cubic centimeters) and surface area (in square millimeters) of a spherical bacterium of that size?

368

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.

595

(d) The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.

537

A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) 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).

725

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?

377

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.

1015

The density of gold is 19.3 g/cm3. What is this value in kilograms per cubic meter?

4281

How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)

584

Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile

531

rank

Express the following angles in radians: 45.0°. Give as numerical values and as fractions of π.

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?

113

An intravenous saline drip has 9.0 g of sodium chloride per liter of water. By definition, 1 mL = 1 cm³. Express the salt concentration in kg/m³.

The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min). What is the angular velocity (rad/s) of the platter?

114

(II) An average active person consumes about 2500 Cal a day. (a) What is this in joules? (b) What is this in kilowatt-hours? (c) If your power company charges about per kilowatt-hour, how much would your energy cost per day if you bought it from the power company? Could you feed yourself on this much money per day?

100

Determine the conversion factor between km/h and m/s.

How many years are there in 1.00 second?

What is the conversion factor between ft² and yd²

A light-year is the distance light travels in one year (at speed = 2.998 x 10⁸ m/s). How many meters are there in 1.00 light-year?

123

How much longer (percentage) is a one-mile race than a 1500-m race ('the metric mile')?

A passenger jet uses about 12 liters of fuel per km of flight. What is that value expressed as miles per gallon?

140

American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0 m long. Which field is longer, and by how much (give yards, meters, and percent)?

Computer chips (Fig. 1–15) can be etched on circular silicon wafers of thickness 0.300 mm that are sliced from a solid cylindrical silicon crystal of length 25 cm. If each wafer can hold 750 chips, what is the maximum number of chips that can be produced from one entire cylinder?

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115

An angstrom (symbol Å) is a unit of length, defined as 10^-10, which is on the order of the diameter of an atom. How many nanometers are in 1.0 angstrom?

105

Noah's ark was ordered to be 300 cubits long, 50 cubits wide, and 30 cubits high. The cubit was a unit of measure equal to the length of a human forearm, elbow to the tip of the longest finger. Express the dimensions of Noah's ark in meters, and estimate its volume (m³) .

148