AP Physics 1 Summer Packet
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Transcript of AP Physics 1 Summer Packet
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7/23/2019 AP Physics 1 Summer Packet
1/14
Name___________________________________________ Class Period_____
AP PHYSICS ISummer Packet
This packet is designed to assess and help you review math and science
concepts in which youll need to be proficient to give you the best chance of
success in AP Physics 1. Please print this packet out, complete it, and turn it
in on the first d y of school. You may be tested on these concepts the first
week of school. I look forward to meeting you in the fall!
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7/23/2019 AP Physics 1 Summer Packet
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Physics Math Worksheet - Algebra and Substitution
Solve the following equations for the variable indicated. There should be enough room to do one step at a time.
1. v=x
t(for t) .
1
mv
=1
kx
(for k) !. mgh=1
mv
(for v)
". m
1v
r =mgh (for r) #. T=
L
g(for g) $. m1v1mv=m1vfmvf %for vf)
&. x=v i t1
a t
(for a) '.1
R1
1
R
=1
Req(for R2) (. m1x=m!x %for x)
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7/23/2019 AP Physics 1 Summer Packet
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)valuate the following using the information given. Tr* algebraicall* solving for the unknown variable first.
1. v f=viat (find a, if vi=2, vf=16, t=2) . F=mv
r(find r, if F=10, m=5, v=4)
! T=m
k(find m, if T=, k=50) ".
"1
d1
!="
d
!(find d2, if "1=10, "2=#, d1=2)
#.1
do
1
di=
1
f(find do, if di=20, f=12) $. x=v i t
1
a t
(find t, if vi=0, x=125, a=10)
$int% &o an' term dro o*t+
Solve the following word problems using the information and steps %+, ++, +++- provided.
&. +f an airplane travels at 1 m/s (v), how longwould it take (t)for the plane to travel a distance (x)of ! meters0
'. to* car accelerates from an initial velocit* (vi)of# m/s, to a final velocit* (vf)of 1& m/s, in $ seconds.2ind the acceleration of the car0
%+- 3ist givens4
v =
x =
t = +
5oncept )quation4 v=x
t
%++- Derive )quation %solve for t-
%+- 3ist 6ivens4
vi=
vf=
t =
a = +
5oncept )quation4 v f=via t
%++- Derive )quation %solve for a-
%+++- Substitute the given values into *our derivedequation for time and evaluate.
%+++- Substitute the given values into *our derivedequation for acceleration and evaluate.
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7/23/2019 AP Physics 1 Summer Packet
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Graphing Techniques
1. Independent Variablequantity that is deliberately manipulated. Plot
this variable on the x- axis. (horizontal)
2. Dependent Variablequantity that changes as a result of the
independent variable. Plot this variable on the y-axis. (vertical)
3. Choose your scale carefully. Be sure that it fits your data.
4. Make your graph as large as possible. It should fill the paper.
5. You do not need to number every line.
6. Not all graphs will go through the origin.
7. Label each axis with the variable and its units.
8. Use a ruler when drawing straight lines.
9. Do not connect the dots (except where appropriate), draw a smooth line
that represents the trend of the data.
10. Title your graph. The title should be descriptive of what the graph
represents.
11. Use PENCIL ONLY!
12. Make a key if you make more than one line on your graph.
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7/23/2019 AP Physics 1 Summer Packet
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!" "#$%&'' ()& *+,,+-./0 123/(.(.&' ./ '4.&/(.*.4
/+(3(.+/5 6/4,27& ()& 2/.(8
#" 9:;< =
$" >:?;;; @=
%" A9BC 0
&" ;5A9BC 0
'" ;5;;;9C '
(" D9 )
)" E+/F&%( &34) +* ()& *+,,+-./0 123/(.(.&'
3' ./7.43(&75 6/4,27& 3 2/.(8
#" BA;; 4= (+ =&(&%'
$" :;;; = (+ @.,+=&(&%'
%" :;;; @= (+ =&(&%'
&"
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7/23/2019 AP Physics 1 Summer Packet
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-" L)& '2%*34& +* 3 %&4(3/02,3% (3G,& .' =&3'2%&7
3' D5D9 = ,+/0 3/7
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7/23/2019 AP Physics 1 Summer Packet
7/14
The Circumference-Diameter Ratio of a Circle
Purpose:
to develop techniques for measuring the circumference and diameter of a
circular object.
to use data to construct a graph to find the slope of a graph
to analyze error in an experiment
Procedure:
A.
Taking Measurements:
1. Find at least six circular objects. They should be of many different
sizes.
2. Measure the diameter and circumference of each one. Use metric
units only. You should use the same units for both diameter and
circumference. Use your understanding of significant figures to
decide on the precision of your measurements. Record your data inthe data table below.
Name of Object Circumference Diameter
B. Making a Graph:
1. Plot a graph of the circumference of the circles versus the diameter ofthe circles. Put the circumference on the y-axis and the diameter on
the x-axis. Use the rules that you know for proper graphing!!
2. The origin should be in the bottom left hand corner of the graph
because when the circle has no diameter it will have no circumference.
Do not put a break in the scale for your x or y-axis. A break will
make the slope of your line meaningless.
3. Draw a best fit line for the points on your graph.
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C.
Finding the Slope of the Graph:
1. Select two points that are actually on the line on your graph to
calculate the slope of the line. One should be near the beginning of the
line and one should be near the end. Do not use data points unless
they are actually on the line.
2.
Use the difference between the y values of these points as y or rise.3. Use the difference between the x values of these points as x or run.
4.
Find the slope of the line using the equation: (Show all work for the
calculations on a separate sheet of paper.)
D. Results and Analyzing Error: Answer the following questions in a short
paragraph on a separate sheet of paper. Make sure that you address all
of the points in the question.
1. What makes it so difficult to measure circular objects? Which
dimension was harder to measure, diameter or circumference and
why? How did you decide to take these measurements to get accurate
results?
2.
What was the value of the slope of your graph? What is the
significance of this value?
3.
Is the relationship between the circumference and the diameter a
direct relationship? How do you know?
E.
Additional Questions:
1. From your graph, write an equation that describes the relationship
between circumference and diameter in the form y=mx+b.2. What are the units of your slope? Does this unit make sense? Explain
why.
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7/23/2019 AP Physics 1 Summer Packet
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In the following problems, please round lengths to the nearest hundredth, and angle measures to the
nearest tenth.
In problems 1-6, find the value of the missing side or angle measure. All lengths are in centimeters.
1. 2. 3.
4. 5. 6.
In problems 7 and 8, find the indicated measures.
7. Find: a. BC =
b. BD =
8. Find: a. EF =
b. EG =
c. FG =
24
20
w
17
32
x
y
20
50
12
q47
6
g11
5
13
d
30 in.
D
2550
C
B
A
32 cmE
35
48
F
G
H
30 in.
25
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7/23/2019 AP Physics 1 Summer Packet
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In problems 9-23, solve the problem.
9. A ladder is leaning against the side of a house and forms a 65angle with the ground. The foot of
the ladder is 8 feet from the house. Find the length of the ladder.
10. A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is 25.
Find the distance from the buoy to the foot of the lighthouse.
11. A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35. The
surveyors instrument is 1.45 meters above the ground. Find the height of the bridge.
12. A surveyor is 100 meters from a building. The angle of elevation to the top of the building is 23.
The surveyors instrument is 1.55 meters above the ground. Find the height of the building.
13. In a parking garage, each level is 20 feet apart. Each ramp to a level is 130 feet long. Find the
measure of elevation for each ramp.
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7/23/2019 AP Physics 1 Summer Packet
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14. A train in the mountains rises 10 feet for every 250 feet it moves along the track. Find the angle of
elevation of the track.
15. A plane rose from take-off and flew at an angle of 11with the ground. When it reached an
altitude of 500 feet, what was the horizontal distance the plane had flown?
16. As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28. How far is
the ship from the shore?
17. A sonar operator on a cruiser detects a submarine at a distance of 500 m and an angle of depression
of 37. How deep is the submarine?
18. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the
peak is 30. One kilometer closer to the mountain, at point
C, the angle of elevation of 35
. Findthe height PBof the mountain.
500 m
37
1 km
3530
P
C BA
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7/23/2019 AP Physics 1 Summer Packet
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19. Before Apollo 11 descended to the surface of the moon, it made one orbit at a distance of 3 miles
above the surface of the moon. At one point in its orbit, the onboard guidance system measured
the angles of depression to the near and far sides of a huge crater. The angles measured 25to the
near side of the crater, and 18to the far side of the crater. Find the distance across the crater.
20. An observer on a cliff 1000 yards above sea level sights two ships due east. The angles of depression
of the ships are 47and 32. Find the distance between the two ships.
21. One diagonal of a rhombus makes an angle of 27with a side of the rhombus. If each side of the
rhombus has a length of 6.2 inches, find the length of each diagonal.
22. Find the height of isosceles trapezoid ABCDas marked.
23. The legs of an isosceles triangle are each 18 cm. The base is 14 cm. Find:
a) the measure of the base angles, and
b) the exactlength of the altitude to the base.
3 mi.
18
25
R
6.2 in.
H
OM
B
27
E D
CB
A
25 cm
38
J
18 cm
K LM
14 cm
18 cm
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7/23/2019 AP Physics 1 Summer Packet
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Rules for Determining Significant Figures
Rule Example # of SIG FIGS
1. All non-zero digits are significant. 438 g 3
26.42 m 4
1.7 cm 2
0.653 L 3
2. All zeros between two non-zero digits 506 dm 3
are significant. 10,050 mL 4
900.43 kg 5
3. Zeros to the right of a non-zero digit, 4830 km 3but to the left of an understood decimal 60 g 1
point, are NOT significant. If such zeros 4830. L 4
are known to have been measured, 60. K 2
however, they are significant and should 1000 m 1
be specified as such by inserting a decimal 3400 kg 2
point to the right of the zero.
4. In number less than one and greater than 0.06 g 1
negative one, zeros to the right of a decimal 0.0047 L 2
point that are to the left of the first non-zero 0.005 m 1digit are NEVER significant. They are simply
placeholders.
5. In numbers less than one and greater than 0.8 g 1
negative one, the zero to the left of the 0.00004 mL 1
decimal is NEVER significant. It is there to
make sure the decimal point is not overlooked.
6. All zeros to the right of decimal point and 8.0 dm 2
to the right on a non-zero digit are 16.40 g 4significant. 35.000 L 5
1.60 s 3
7. Rules can be combined. 0.008009 g 4
0.02040 mm 4
100.00 kg 5
3.00 X 104L 3
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7/23/2019 AP Physics 1 Summer Packet
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Rules for Calculating with Significant Figures:
Addition or Subtraction:
The final answer should have the same number of digits to the right of the decimal as the
measurement with the smallestnumber of digits to the right of the decimal.
Example:
97.3 + 5.85 = 103.15 round off to 1 place to right of decimal 103.2 = final answer
110 32.665 = 77.335 round off to no places to right of decimal 77
Multiplication or Division:
The final answer has the same number of significant figures as the measurement having thesmallestnumber of significant figures.
Example:
123 X 5.35 = 658.05 round off; need 3 significant figures 658
12.378 3.2 = 3.868125 round off; need 2 significant figures 3.9
Rules for Rounding:
Round Down: Whenever the digit following the last significant figure is a 0, 1, 2, 3, or 4
Example: 30.24 30.2
Round Up: Whenever the digit following the last significant figure is 5, 6, 7, 8 or 9
Example: 22.49 22.5