Chapter 1 lecture assignment
An airplane takes off due west at an angle of 16.0 degrees with the horizontal. When the airplane at a vertical height of 400 ft, what is its displacement vector? Let east be the +x direction and +z be the upwards
(-110i-400k) ft
Which point is nearest the x axis?
(1,7)
Vector A is 2.0 i + 3.5 j Vector B
-4.2i+-2.7j
If 0 and 0 are each first quadrant angles, which of the following must be true if sin0=cos0
0+0= 90 degrees
If theta=90 degrees-0 what is the given value of sin^2 + sin^2
1
Assume everyone in the United States consumes one soft drink in an aluminum can every two days, If there are 270 million Americans,
1.6 million tons
The ratio T/m of the prefixes M and m has what value?
10^14
A physics class in a large lecture hall has 150 students. The total mass of the students is about
10^4
Vector A is 3.0 units in length and points along the positive x-axis; vector B is 5.0 units in length and points along a direction 150 degrees from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?
118 degrees
How many significant figures does the number 3600 have?
2
The number 0.03 has how many significant figures?
2
The number 0.03 has how significant figures?
2
Modern electroplaters can cover a surface are of 75.0m with one troy ounce of golf
2.15E-8 m
Vector A is 3.0 units in length and points along the positive x-axis; vector B is 5.0 units in length and points along a direction 150 degrees from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?
2.8
A student adds two vectors with magnitudes of 200 and 70. Taking into account significant figures, which is the only possible choice for the magnitude of the sum?
200
Sphere A has a radius of 5.00cm, and sphere B has a radius of 8.80 cm. What is the difference in volume between the two spheres?
2330cm^3
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?
23m
A right triangle, has sides 10m, 5m, and 11m. The smallest of the triangle is nearest.
27 degrees
Amir drives his ATV from coordinates (5.0 km, 25 degrees) directly to (25.0 km, 45 degrees) in 45 minutes. What is the ATV's speed?
27.2 km/h
Assume when using a meter stick measuring can be down so that the last significant figure is the tenth of a millimeter digit. If you are measuring an object with length between 8 to 9 cm, how many significant figures will result if you only use the part of the meter stick.
3
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?
3.30 furlongs/fortnight
A surveyor stands 100m from the base of a building, and uses a transit to determine that the angle of elevation to the building's roof is 19 degrees. If the transit height is .8 what is the height of the building?
35.2
When NASA was communicating with astronauts on the moon, the time from sending on the Earth to receiving on the moon was 1.28 s. Find the distance from Earth to the moon. (The speed of radio waves is 3.00 x 10^8 m/s.)
384000
Calculate (0.83+0.049)(4.4x10^3), keeping only significant figures.
3900
The length and width of a stadard sheet of paper is measured, and then the area is found by calculation to be 91.50in
4
A circle has an area of 3.0cm. A second circle has double the radius of the first. The area of the second circle ________ times that of the first.
4.0
The mass of a star is 8.0x10^30, and the mass of a hydrogen atom is 1.67x10^-27 kg. If we assume that the star is mostly composed of hydrogen, approximately how many atoms are there in the star?
4.8E+57 atoms
I walk six miles in a straight line in a direction north of east, and I end up two miles east and several miles north. How many degrees north of east have I walked?
42 degrees
A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure is 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.
43 m
Two wires support a post, with dimensions as shown in the figure. If d=14m, What is the value of x?
5.2 in
One mole of ammonia (NH3) has a mass of 17.0g, How many hydrogen atoms are in 55.0 g of ammonia?
5.84E+24
Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 10 cm westward. What is Arvin's direction of displacement with respect to his original position?
51 degrees N of E
Two ships set sail from the same port. Ship A sails a distance of 35.0 kilometers in a direction 30.0 degrees north of east, and drops anchor.
56.3
A mosquito flies diagonally from a corner at the floor of a rectangular room, with coordinates to the opposite corner at the ceiling.
6.7 m
A cement truck can pour 160 cubic yards of cement per hour. Express the in ft3/min.
72.0 ft3/min
The distance to a hypothetical galaxy is estimated at about 7x10^6 in light years. A light year is the distance traveled by light in one year, if the speed of light is 3x10 about how far is it from out galaxy to this hypothetical galaxy
7E+22m
Doubling the radius of a sphere results in increasing its volume by a factor of
8
A taxicab moves five blocks due north, five blocks due east, and another two blocks due north. Assume all blocks are of equal size. What is the magnitude of the taxi's displacement, start to finish?
8.6 blocks
Each edge of a cube has a length of 12.7 cm. What is the length of a diagonal of the cube going through the center of the cube?
8.7in
On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter=39 guppies. How many guppies are in 230 liters?
8970 guppies
A triangle has sides of length 7 cm and 11 cm. If it is a right triangle, which of the following could be the length of the third side?
8cm
A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size
9.4 blocks
The distance from New York to london is 3470 miles. If a plane take 6.0 hours to fly it.
930
Which is the smallest, an atom, a nucleus, a proton, or an electron?
Electron
Consider the cosine of any angle between 35 degrees and 40 degrees. If the angle were doubled, what would happen to the cosine of the angle.
It would decrease to less than half its original value
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 increase but be less than double.
Suppose an equation relating position, x, to time, t, is given by x = b t3 + c t4, where b and c are constants. The dimensions of b and c are respectively:
L/T3, L/T4
Areas always have dimensions ____ while volumes always have dimensions ____.
L2, L3
Which of the following is not a vector quantity?
Mass
Vector A points north and vector B points east. If C=B-A, then vector C points:
South of east
When SI units are plugged into an equation, it is found that the units balance. Which of the following can we expect to be true for this equation?
The equation will be dimensionally correct
Suppose the interior angles of a triangle are 1, 2, 3, with 1>2>3. Which side of the triangle is the shortest.
The side opposite 3
Vector 1 is 7 units long and is at 70 degrees. Vector 2 is 5 units long and is at 155 degrees. Vector 3 is 3 units long and is at 225 degrees. Which vector has equal magnitude components?
Vector 3
How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Think of your answers in terms of order of magnitude.
about a century
When we add a displacement vector to another displacement vector, the result is:
another displacement
When we subtract a velocity vector from another velocity vector, the result is:
another velocity
Since 1967 the standard definition for the second has been based on which of the following?
characteristic frequency of the cesium-133 atom
Volume can be measured in units of m^3. Which of the following unit combinations also result in volume?
cm^2 in.
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
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 25 and 53.
more than 4
The nuclei of atoms contain.
protons and neutrons
Vector A is 2m long, and vector B is 5m long. The length of the sum of vectors must be
some value from 3m to 7m
Vector A is 5 m long and vector B is 12 m long. The length of the sum of the vectors must be:
some value from 7 to 17m
Since 1983 the standard meter has been defined in terms of which of the following?
the distance light travels in a certain fraction of a second
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.
time
Which expression is dimensionally consistent with an expression that would yield a value for time -1?
v/x
If a is acceleration, v is velocity, x is position, and t is time , then which equation is not dimensionally correct
v=a/t
Which type of quantity is characterized by both magnitude and direction?
vector
Which of the following is an example of a vector quantity?
velocity
In 1983 the standard meter was redefined to what it is currently. What was the previous definition from 1960 based on?
wavelength of light emitted by certain krypton atoms.
For which of the values below is x>x^7?
x=0
