Honors Physics Chapter 1 Test Review Sheet
Test Notes:
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Test date: Friday, 9/12
Time Limit: 75 minutes
19 multiple-choice questions
This will be the first of FOUR tests this semester. It will be worth 7.5% of your final course grade
for the semester.
Commentary: This review sheet offers more than enough practice problems for you to score well
on your first test. Also be sure to study your notes, homework, and in-class worksheets. If you can
do every problem on this review sheet, there is almost no way you could possibly score lower than
a “B” or “C” on this test.
1) Using the M
. . KHDBdcm . . µ . . n, give the ratio of the following prefixes. Because I’m nice,
I did the first two for you!
a. (base)/c = 100/10-2 = 102 = 100
b. K/c = 103/10-2 = 105 = 100000
c. M/K
d. c/(base)
e. m/µ
f. K/n
2) What are the three fundamental quantities (and their SI Units) that physicists use to derive additional
quantities?
3) If v = velocity, d = distance, a = acceleration, and t =time, determine the DIMENSIONS for each of the
expressions given
a. vt
b. d2v
c. pa3, where “p” is a dimensionless constant
d. at2
e.
𝑎𝑣 3
𝑡𝑑5
4) If v = velocity, d = distance, a = acceleration, and t =time, determine the dimensions of the quantities H
and J so that the equation is dimensionally consistent:
a. t = Hv – 5Ja
𝑡
𝑡
b. v = 𝐽 – 3π𝐻
c. d = Hv3 + Ja2
d. v = Hd – Jva
𝐻
2𝑣
e. a = 𝑡𝑣2 + 𝐽𝑡 3
5) Draw a diagram of an atom, and label all of the components.
6) Given that x = distance, t = time, and a = acceleration, is the equation x = ½ at2 dimensionally
consistent?
7) Knowing that W = Fd, where W = work, F = force, and d = distance, and knowing that the dimensions
of Force =
𝑀𝐿
𝑇2
, what are the dimensions of W?
8) What are the dimensions of Momentum, knowing that it is equivalent to mass multiplied by velocity?
9) Given all of the following measurements, report the number of significant figures in each measurement:
a. 10.55 m
b. 0.05 kg
c. 11000 mg
d. 1.001085 s
e. 0.00054 km
f. 0.004300 L
g. 1.004090 s
h. 11000. g
i. 1090 m/s
j. 4400 mph
k. 0.10000 kg
l. 45.0 N
m. 45.000 N
10) Compute 3.894 x 5.1100 x 0.004030 with the correct number of significant figures
11) Compute 0.0000539 x 1.000 x 11000 with the correct number of significant figures
12) Compute 1.0 + 3.00480 – 9.09 with the correct number of significant figures
13) On planet Richardsonland, the standard unit of volume is called the “Maryisawesome.” Space travelers
from Earth have determined that one gallon is equal to 2.811 “Maryisawesome’s”. How many
“Maryisawesome’s” are in 44.8 liters? Note that 3.7854 L = 1.00 gallon
14) Still visiting the planet Richardsonland, space travelers have observed that the standard unit for mass is
the “MuscleHampster,” which is an obvious nomenclature meant to immortalize the Galactic Space
Hero Noah Dwyer. It was experimentally determined that one Musclehampster is equal to 24.799
pounds (Hey, the space travelers were Americans, after all…). How many kilograms are in 32.5
Musclehampsters? Note that 2.204lbs = 1.00kg
15) Holly is planning for a fun-filled Fourth of July party, and she’s purchased a kiddie pool for her younger
nieces and nephews to enjoy. The pool is circular with a 60.00 inch diameter, and it has a maximum
depth of 0.6000 m. She wants to fill the pool to a depth of exactly 0.4000 meters. If her yard hose has a
flow rate of 9.250 gal/min, how long will it take to fill the kiddie pool to the desired depth? Express your
answer in both minutes AND hours! It might be helpful to note that 1 gallon = 231 in3, 12 inches = 1
foot, and 3.28 ft = 1 m.
16) Sunny loved Holly’s idea to put in a pool, so she decided to one-up her for Labor Day: She installed a
full-sized pool! Water flows into Sunny’s swimming pool at a rate of 8.0 gallons per minute. Sunny’s
pool is rectangular and is 21 feet wide, 38 feet long, and 5.2 feet deep. How long does the pool take to
fill? Express your answer in days, hours, and minutes. Once again, it might be helpful to note that 1
gallon = 231 in3, and see the conversion factors given in the previous problem or given in your textbook.
17) The information on a 3.0000-gallon foam surfacing can is that the coverage, when applied properly, is
1425 ft2. One gallon is 231 in3. What is the average thickness of the foam in such an application?
18) Calculate the volume of a cylindrical oatmeal box with a diameter of 10.2cm and a height of 184 mm.
Give your answer in cubic centimeters, and recall that the volume of a cylinder is given as V = hA =
hπ(d/2)2
19) Ace Hardware offers a prize to the customer with a guess closest to the correct number of jelly beans
that fill a liter jar on a display counter in the store. Use physics to give an estimate for the number of
jelly beans in the jar, using three significant figures. Note that a 1L mason jar = 1000 cubic centimeters,
and each individual jelly bean can be approximated as a geometric cylinder that is 2.0cm long and 1.5cm
in diameter. You were given the formula for the volume of a cylinder in problem 2. For full credit, your
answer must be within 50 of the actual number of jelly beans in Mr. Cunnings’ jar, and all work must be
shown.
20) The speed of light in a vacuum is 3.0 x 108 m/s.
a. Convert this speed into miles per hour, knowing that there are 1609 m in a mile and 3600
seconds in an hour.
b. A “light year” is the distance that light travels in one year. Calculate this distance in meters, and
report your answer using scientific notation.
c. NASA has sent a variety of missions to study planets in our solar system. One mission, currently
studying the Saturn moon Titan, is calculated to be 1.5 billion kilometers from Earth. The
mission is sending back pictures of Titan’s upper atmosphere. Knowing that the speed of light is
constant through the vacuum of space (as given above), how long will it take pictures encoded in
electromagnetic radiation from the mission—which travel at light speed, just like ALL
electromagnetic radiation—to reach Earth?
21) Give an order-of-magnitude estimate for the mL of milk drank by all students/staff that have “A” lunch
period.
22) On average, Mr. Cunnings eats about 250g of protein every day. Give an order-of-magnitude estimate
for how many pounds of protein Mr. Cunnings between now and the time he retires from teaching (in
the year 2044).
23) Give an order-of-magnitude estimate for the number of times the average person your age will blink in a
lifetime. Assume the average person from your generation will live to be 80 years old.
24) A right triangle has side lengths of 8 cm, 11 cm, and 13.6cm. Determine the smallest interior angle for
this triangle.
25) You attempt to determine the height of a tree in your front yard. Standing 10.0m from the base of the
tree, you determine the elevation angle from the ground to the top of the tree to be 62.5°. How tall is the
tree?
26) You are standing 20 meters from the base of a basketball hoop. Eye level for you is 5.75 feet. Knowing
that the height of the rim is 10.0 feet, what is the elevation angle from your eye level to the rim?
27) Consider the equation for the volume of a cylinder. How would changing the following variables affect
the volume of a cylindrical solid?
a. Doubling the height?
b. Doubling the radius?
c. Halving the height?
d. Halving the radius?
28) Consider the expression y = x3.
a. If the value of x is doubled, by what factor does y change?
b. If the value of x is tripled, by what factor does y change?