Physics R
Date: __________________
Physics Skills
Algebra
1. Solve for vi
2. Solve for a
(12)2 = vi2 + 2(11)(2)
1200 = 0.5(a)(3)2
Solving in terms of variables
3. Solve for vi
4. Solve for a
vf2
d = 0.5at2
=
vi2
+ 2ad
Scientific Notation
It is preferable (you will make fewer mistakes) if you use the capital E or EE button on your calculator
2E3 = 2 x 103
= 2,000
4
1.2E4 = 1.2 x 10
= 12,000
Convert into scientific notation
5. 300,000,000
6. 0.00000781
Expand from scientific notation (write the full number)
7. 3 x 102
8. 7.2 x 104
Solve:
9. 6.6 x 10-8
3.3 x 10-4
10. 2.5 x 108
7.5 x 102
Trigonometry
Always make sure your calculator is in degrees!
11. Find the length of the unknown side
12. Find the length of the unknown side
13. Solve for the angle θ
14. Solve for the angle θ
1
Interpreting Graphs
Taking the slope
Use the graph to the right to answer 15-18
15. Calculate the slope from y=0 to y=2
16. Calculate the slope from y=2 to y=3
17. Calculate the slope at y=4
Plotting Graphs
Using the graph to the right…
-Label and mark the axes
Time (s) Distance (m)
-Plot the points
0
5
-Draw a best-fit line
1
10
(don’t just connect the dots)
2
14
3
4
20
25
2
Units
SI (Standard International) Units
Fundamental SI Units
SI Prefixes for Powers of 10
Length
Mass
Time
Derived SI Units (Derived from fundamental units)
Speed
Force
Energy
Convert to meters
18. 700 nanometers
Non-SI Units
Mile
inch
19. 12 kilometers
minute
hour
20. 80 mm
centimeter
21. 60 Mm
UNITS ARE IMPORTANT!!! Answers on exams without units will lose points.
Unit Conversion – Multiplying by One
It is possible to convert units using proportions, but in this class we will do it by multiplying by one.
Any number multiplied by one is equal to itself.
1609 meters = 1 mile
therefore (divide both sides by 1 mile)
So, you can take a distance in miles, and multiply by 1 (1609 m / 1 mile) to get an answer in meters
= 19,308 m
The units for mile cancel out and you’re left with an answer in meters. Since we multiplied by one the
new distance is equal to the original distance.
Be diligent, make sure the units cancel out properly, and you will always get the right answer.
22. Convert 130 pounds into kg
23. Convert 182 inches into feet
1 mile = 1609 meter
1 mile = 5280 feet
1 foot = 12 inches
1 ton = 2000 pounds
1 kg = 2.2 pounds
(you don’t need to memorize these)
3
24. Convert 32 m/s into km / hour
25. Convert 27 miles per hour into meters per second
26. How many kilograms are in 3 tons?
27. A snail is racing along at 0.5 cm per second. How fast is it travelling in miles per year?
Metric estimation
It is very useful to be able to estimate quantities to within an order of magnitude
Order of magnitude
What is a million? What is a billion?
If you had $1 million and counted $1 per second, how long would it take to count your money?
$1 billion?
Common sizes
1 cm
1 gram
1m
1 kg
10 m
1,000 kg
100 m
Convert each answer to meters or centimeters (or g or kg) to help!
28. Approximate length of a baseball bat
a. 10-1 m
c. 101 m
0
b. 10 m
d. 102 m
29. Approximate height of a root beer can
a. 1.3 x 10-3 m
c. 1.3 x 100 m
-1
b. 1.3 x 10 m
d. 1.3 x 101 m
30. Length of a football field is closest to
a. 1000 cm
c. 1000 dm
b. 1000 km
d. 1000 mm
31. Approximate mass of a high school student
a. 7 x 10-1 kg
c. 7 x 101 kg
b. 7 x 100 kg
d. 7 x 102 kg
4
Review Checklist
Solve in terms of variables, and solve for a side
or angle of a triangle
32. Solve: KE = ½ m v2, solve in terms of v
39. Solve for θ
33. Solve: R = V/I, solve in terms of I
40. Solve for X
34. Solve P = V2 / R in terms of R
35. Solve for X
Calculate the slope from a graph
Use the following graph for 41-43
36. Solve for X
37. Solve for X
41. Calculate the slope from 0-2 seconds
42. Calculate the slope at t=4 seconds
38. Solve for θ
43. Calculate the slope at t=7 seconds
5
Convert units using the “multiply by one”
method
44. Convert 30 m/s into miles/hour
45. Convert 30 miles/hour into m/s
46. 1 eV = 1.6 x 10-19 J
How many J are in 3 eV?
47. How many eV are in 3 x 10-18 J?
48. Convert 100 km/hr into m/s
Estimate quantitative results to the nearest
order of magnitude
49. What is the approximate width of a person’s
little finger?
a) 1 m
c) 0.01 m
b) 0.1 m
d) 0.001 m
50. The length of the high school classroom is
probably closest to
a) 10-2 m
c) 101 m
-1
b) 10 m
d) 104 m
51. The thickness of a dollar bill is closest to
a) 10-4 m
c) 10-1 m
b) 10-2 m
d) 101 m
52. Which measurement of a classroom door is
closest to 100 m?
a) thickness
c) height
b) width
d) surface area
53. A flowerpot falls from a third-story window
ledge to the ground. The total distance the
flowerpot falls is closest to:
a) 100 m
c) 102 m
b) 101 m
d) 103 m
54. The approximate mass of a chicken egg is
a) 101 kg
c) 10-1 kg
2
b) 10 kg
d) 10-4 kg
Answers
1.
10
2.
266.7
3.
vi = √(vf2 – 2ad)
4.
a = 2d/t2
5.
3 x 108
6.
7.81 x 10-6
7.
300
8.
72,000
9.
2 x 10-4
10. 3.33 x 105
11. 5.4 m
12. 8.7 in
13. 37.9 deg
14. 38.7 deg
15. 2
16. 0
17. -0.5
18. 7 x 10-7 m
19. 12,000 m
20. 0.08 m
21. 6 x 107 m
22. 59.1 kg
23. 15.2 feet
24. 115.2 km/hr
25. 12.1 m/s
26. 2727 kg
27. 98 mi/yr
28. b
29. b
30. c
31. c
32. v = √(2KE/m)
33. I = V/R
34. R = V2/P
35. 7.6
36. 4.5
37. 3.6
38. 15.8 deg
39. 69.4 deg
40. 2.8
41. 5
42. 0
43. 2.5
44. 67 mi/hr
45. 13.4 m/s
46. 4.8 x 10-19 J
47. 18.75 eV
48. 27.8 m/s
49. c
50. c
51. a
52. b
53. b
54. c
6