Physics ch. 1
Areas always have dimensions ____ while volumes always have dimensions ____.
L2, L3
The proton contains which of the following combination of quarks?
two up quarks and one down quark
If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct?
v = a/t
A cement truck can pour 160 cubic yards of cement per hour. Express this in ft3/min.
72.0 ft3/min
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.
(2.8 - 0.8 ) km
If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?
1
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?
228 ± 4
Amir drives his ATV from coordinates (5.0 km, 25°) directly to (25.0 km, 45°) in 45 minutes. What is the ATV's speed?
27.2 km/h
A right triangle has sides 10 m, 5 m, and 11 m. The smallest angle of this triangle is nearest
27°.
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?
3
Calculate (0.83 + 0.049)(4.4 × 103), keeping only significant figures.
3 900
A circle has an area of 3.0 m2. A second circle has double the radius of the first. The area of the second circle is ____ times that of the first.
4.0
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?
42°
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?
5.4 feet
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.
5.84E+24
A train slowly climbs a 400-m mountain track which is at an angle of 8.0° with respect to the horizontal. How much altitude does it gain?
55.7m
When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than
60
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)
68 hours
Doubling the radius of a sphere results in increasing its volume by a factor of
8
On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 39.0 guppies. How many guppies are in 230 liters?
8 970 guppies
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. Group of answer choices
9.0E+4 cm2
Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of the angle?
it would double
An apartment has 1 100 ft2 of floor space. What is the approximate volume of the apartment?
104 ft3
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?
7.6E-2 cubic feet
In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three quantities. What are the other two?
length and time
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:
m/s
Which type of quantity is characterized by both magnitude and direction?
vetor
If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?
θ + φ = 90°
The ratio T/m of the prefixes M and m has what value?
10^15
A physics class in a large lecture hall has 150 students. The total mass of the students is about ____ kg.
10^4
Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898?
114
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?
1420
Multiplying a 2-significant-figure number by a 4-significant-figure number and then dividing the product by a seven-significant-figure number yields a number with how many significant figures?
2
The number 0.03 has how many significant figures?
2
Modern electroplaters can cover a surface area of 75.0 m2 with one troy ounce of gold (volume = 1.611 cm3). What is the thickness of the electroplated gold?
2.15E-8 m
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?
200
Note the expression: y = A/x3. Which statement is most consistent with this expression?
If x is halved, y is multiplied by eight.
Suppose the interior angles of a triangle are φ1, φ2, and φ3, with φ1 > φ2 > φ3. Which side of the triangle is the shortest?
The side opposite φ3.
Volume can be measured in units of m3. Which of the following unit combinations also result in volume?
cm2in.
Which of the following is not a vector quantity?
displacement