Physics test 1

72.0 ft^3/min

A cement truck can pour 160 cubic yards of cement per hour. Express this in ft3/min.

7.6E-2 cubic feet

A cereal box has the dimensions of 0.14 m × 0.22 m × 0.070 m. If there are 3.28 feet per meter, then what is the volume of the box in cubic feet?

3.30E+4 furlongs/fortnight

A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 6.00 yards per second. What is his speed in furlongs per fortnight?

43 m

A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 190 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 55°. How high is the fountain?

1 420

A marble has a radius of 16 mm. Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm?

228 ± 4

A rectangular-shaped patio has a base length equal to (24.5 ± 0.2) m and a height equal to (9.3 ± 0.1) m. What is the area of the patio, including its uncertainty?

200

A student adds two vectors with magnitudes of 200 and 70. Which one of the following is the only possible choice for the magnitude of their sum?

35.2

A surveyor stands 100 m from the base of a building, and uses a transit to determine that the angle of elevation to the building's roof is 19.0°. If the transit height is 0.80 m, what is the height of the building?

9.4 blocks

A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point?

8 cm

A triangle has sides of length 7 cm and 11 cm. If the triangle is a right triangle, which of the following could be the length of the third side, to the nearest centimeter?

3 900

Calculate (0.83 + 0.049)(4.4 × 103), keeping only significant figures.

8.

Doubling the radius of a sphere results in increasing its volume by a factor of

x = -2.0

For which of the values below is x > x7?

5.4 feet

On planet Z, the standard unit of length is the foose. Ann the Astronaut is 5.2 feet tall on Earth. She lands on planet Z and is measured to be 88 foosi tall. Her partner Rachael is 92 foosi tall. How tall is Rachael on Earth?

5.84E+24

One mole of ammonia (NH3) has a mass of 17.0 g, and one mole is equal to 6.02 × 1023 molecules. How many hydrogen (H) atoms are in 55.0 g of ammonia? Note that each molecule of ammonia has 3 hydrogen atoms.

2.8

Vector is 3.0 units in length and points along the positive x axis; vector is 5.0 units in length and points along a direction 150° from the positive x axis. What is the magnitude of the resulting vector when vectors and are added?

south of east.

Vector points north, and vector points east. If = − , then vector points

cm^2in.

Volume can be measured in units of m3. Which of the following unit combinations also result in volume?

68hrs

Water flows into a swimming pool at the rate of 7.0 gal/min. The pool is 17 ft wide, 32 ft long and 7.0 ft deep. How long does it take to fill? (1 U.S. gallon = 231 cubic inches)

6E+41

Approximately how many water molecules are in a lake with a volume of 12 100 km3? A water molecule measures approximately 2.75 × 10¯10 m in length.

L2, L3

Areas always have dimensions ____ while volumes always have dimensions ____.

51° N of E

Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 10 cm westward. In what direction is Arvin now in with respect to his starting point?

3

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit. If you are measuring an object with length between 6 and 7 cm, how many significant figures will result if you only use the part of the meter stick between the 1-cm and 9-cm positions?

3

Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit. If you are measuring an object with length between 8 and 9 cm, how many significant figures will result if you only use the part of the meter stick between the 82-cm and 93-cm positions?

It would increase but be less than double.

Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of the angle?

One cannot tell with certainty when the number is written in the given form, but it will be one of the other given answers.

How many significant figures does the number 3 600 have?

42°

I walk six miles in a straight line in a direction north of east, and I end up four miles north and several miles east. How many degrees north of east have I walked?

v = a/t

If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct?

23 m

If point A is located at coordinates (-10, 7) and point B is located at coordinates (8, -8), what is the distance from A to B if the units of the coordinated system are meters?

time

If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

θ + φ = 90°

If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?

1

If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?

wavelength of light emitted by certain krypton atoms

In 1983 the standard meter was redefined to what it is currently. What was the previous definition from 1960 based on?

If x doubles, then y quadruples.

Note the expression: y = x2. Which statement is most consistent with this expression?

It could be any of the three.

Of vectors with lengths 5 m, 3 m, and 4 m, which has the greatest magnitude x component?

characteristic frequency of the cesium-133 atom

Since 1967 the standard definition for the second has been based on which of the following?

The side opposite φ3.

Suppose the interior angles of a triangle are φ1, φ2, and φ3, with φ1 > φ2 > φ3. Which side of the triangle is the shortest?

(2.8 - 0.8 ) km

Terrence goes for a walk. He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector? Take east to be in the +-direction and north to be in the +-direction.

9.0E+4 cm^6

The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 30.0 cm3 of gasoline is atomized into N spherical droplets. Each droplet has a radius of 1.0 × 10−5 m. Find the total surface area of these N spherical droplets.

930

The distance from New York to London is 3 470 miles. If a plane takes 6.0 hours to fly this distance, what is the plane's average speed in kilometers per hour? 1 mile = 1.609 km.

3.6E-3 in

The information on a one-gallon paint can is that the coverage, when properly applied, is 440 ft2. One gallon is 231 in3. What is the average thickness of the paint in such an application?

4.8E+57 atoms

The mass of a star is 8.0 × 1030 kg, and the mass of a hydrogen atom is 1.67 × 10−27 kg. If we assume that the star is mostly composed of hydrogen, approximately how many atoms are there in the star?

protons and neutrons.

The nuclei of atoms contain

2

The number 0.03 has how many significant figures?

10^15

The ratio T/m of the prefixes M and m has what value?

m/s.

The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be:

56.3 km

Two ships set sail from the same port. Ship A sails a distance of 35.0 kilometers in a direction 30.0° north of east, and drops anchor. Ship B sails due south. When ship B is 30.0 km from the port, how far apart are the ships?

Vector 3

Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units long and is at 225°. Which vector has equal-magnitude components?

-4.2 + -2.7

Vector A is 2.0 + 3.5 . Vector B is -3.1 - 3.1 . What is A + 2B?

some value from 3 m to 7 m.

Vector is 2 m long, and vector is 5 m long. The length of the sum of the vectors must be

another displacement.

When we add a displacement vector to another displacement vector, the result is

electron

Which is smallest, an atom, a nucleus, a proton, or an electron?

velocity

Which of the following is an example of a vector quantity?

mass

Which of the following is not a vector quantity?

114

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898?

200

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 × 5.6 × 2.33?