Exam 1: Representing Motion

A large school district has 300 school buses. If each school bus is used 3.0 hours each day, the average speed of the school buses is 15 mi/h, and the fuel economy of the buses is 10 mi/gal. How much does it cost to run these buses for 22 school days if gasoline costs $4.10 a gallon?

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

Which of the following is the most reasonable estimate of the number of characters (typed letters or numbers) in a 609-page book? Assume an average of 194 words per page and a reasonable average number of letters per word.

The number 0.00325 × 10^-8 cm can be expressed in millimeters as

A reasonable estimate for the mass of a typical female college student is

The number of significant figures in 0.040 is

What is the result, expressed to the proper number of significant figures, of adding 23.4 to 91.237 and then subtracting 23.4?

A reasonable estimate for the height of the walls in an ordinary American home is

The density of water is 1.00 g/cm³. What is its density in kg/m³?

What is 56 + $\frac { 32.00 } { 1.2465 + 3.45 }$ written with the correct number of significant figures?

Leonardo da Vinci's Mona Lisa is 21 in. wide and 30.25 in. tall. What is the area of the painting in square centimeters? (1.00 m = 39.37 in.)

Which of the following numbers has 4 significant figures; which has 5 significant figures? (a) 3001 (b) 0.00370 (c) 4774.00 (d) 29.290

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \text { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} \text {. }$ What is this wavelength in nanometers? (1 nm = 10^-9m)

The mass of Mars, 6.40 × 10²³ kg, is about one-tenth that of Earth, and its radius, 3395 km, is about half that of Earth. What is the mean density (mass divided by volume) of Mars in kilograms per cubic meter?

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these numbers and multiplying by two. Your calculator's display reads 3.462. To the correct number of significant figures, the perimeter should be written as

A porch roof that slopes upward at 45° measures 3.0 m × 5.0 m. It is covered with a slab of insulating material that is 2.0 cm thick. If the density of the insulation is 15 kg/m³, what is the weight of the insulation, in pounds, on the roof? (1.00 kg weighs 2.2 lb and density is mass per unit volume.)

The tank of a certain car holds 16 gallons of gasoline. (1.00 gal = 3.785 L) (a) How many liters of gasoline does this tank hold? (b) How many kilometers can the car travel on one tank if it gets 25 miles per gallon?

Estimate the thickness, in meters, of an ordinary sheet of paper.