Math Review Physics Class

7/27/2019 Math Review Physics Class

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Honors Physics Summer AssignmentDear future Honors Physics students,

Im very excited to have you in Honors Physics next year! In this class we will study the world around us,delving into questions like what causes rainbows?, how does a roller coaster work?, and why is the skyblue? (just to name a few!) To get you ready for our year together, its time to brush up on some math. While

physics is different from math (and much more interesting in my opinion ) it will be a very useful tool toour studies. In order for you to succeed in Honors Physics, youll need to be able to express and manipulateyour thoughts in mathematical terms.

To help you brush up on your math skills, Ive created the following document that reviews the skills necessaryfor a successful year in Honors Physics. Most of the math included here should be familiar to you from yourprevious math courses. At the end of this review document is a worksheet you are required to complete andturn in on the first day of class. Please complete this worksheet on a separate sheet of paper, and make sureto show your work!!! In the fall, I will expect that youll know how to tackle these problems and we can focusour energy on physics.

Enjoy your summer! You can contact me via email at [email protected] if you have any questions.


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Algebra SkillsSkill #1: Solve an equation for any variable.Throughout the year, well be rearranging formulas and equations to solve for the variable we want to know.

Refresh your algebra skills with the following example problems:

Example #1:

Suppose we want to know the height, h, in the following formula: l Step 1: Divide by sides of the equation by :

l

Step 2: Reduce the fraction:

l

Result:

Example #2:

Suppose we want to know the radius, r, in the following equation: Step 1: Multiply both sides of the equation by r:

J $

J JStep 2: Reduce the fraction:

J $

J JJ $

Step 3: Divide both sides of the equation by to isolate r:J

$


J

$

Result:

J $

Example #3:Given the equation $ $ -I, solve for the initial velocity, Step 1: Subtract I from both sides of the equation:

$ . I $ - I . I$ . I $

Step 2: Take the square root of both sides of the equation:

$ . I $Result: $ $ .I


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Example #4:

Solve for the angle given the equation Step 1: Divide both sides to isolate :


Step 3: Take the inverse sine (sin-1) of both sides of the equation:

# #{Result: #

Skill #2: Be able to take a multiplicative expression to a power

Example #1: {%$

Example #2:

$

Example #3: %

Science SkillsSkill #3: Convert a number into scientific notation, as well as from scientific notation into

standard form.

Example #1: 12,345 m/s = 1.2345 x 104

m/s

Example #2: 15000000 m = 1.5 x 107

m

Example #3: 1/1000 s = 1 x 10-3

s

Example #4: 13.43 x 105

Hz = 1,343,000 Hz

Example #5: 6.24 x 10-7

N = 0.000000624 N

Skill #4: Know the unit prefixes!!! You need to memorize the following chart:

Prefix Abbreviation Power

Pico- p 10-12

Nano- n 10

-9

Micro- 10-6

Milli- m 10-3

Centi- c 10-2

Kilo- k 103

Mega- M 106

Giga- G 109


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Skill #5: Be able to convert between prefixes.Example #1: Convert 37 km to m:

0 %

0 &Example #2: Convert 1.6 ns to s:

0

0 Example #3: Convert 420 g to kg:

0 0 % 0 Example #4: Convert 21.2 km/hr to m/s:

J 0% 0

J 0

Example #5: Convert 203 km2

to m2:

$ 0%

0% $ 0 $

***Pay close attention to examples #4 & 5 above theyre the most commonly missed types!!!***

Geometry/Trigonometry SkillsSkill #6: Know sin, cos & tan and how to apply them to find the side of right triangleExample #1: Given the following right triangle, find x and y with the information given.

Example #2: Given the following right triangle, find the value of.

'#'

#

55o

12 m

y

x

75

15


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Practice ProblemsThese problems are due on the first day of school. Please complete them on a separate piece of paper as they

will be turned in and graded. Make sure you show your work! You will also be quizzed on your knowledge of

these important skills.

For problems #1 15, please use scientific notation in your answer if the exponent is 3 (i.e. if your

number is 10000 or larger or 0.0001 or smaller).

1. 1400 g = ________ kg2. 240 nm = ________ m3. 5 m = ________ mm

4. 21.7 pm = ________ nm5. 0.15 cm2 = ________ m26. 0.003 Gm = ________ pm

7. 170 Ms = _________ s8. 8 Mm = _________ Gm9. 30 km/h = ________ m/s

10. A human hair is approximately 50 m in diameter. Express this diameter in meters.11. If a radio wave has a period of 1 s, what is the waves period in seconds?12.

A Hydrogen atom has a diameter of about 10 nm.

a. Express this diameter in meters.b. Express this diameter in millimeters.c. Express this diameter in micrometers.

13. The distance between the sun and Earth is about 1.5 x 1011 m. Express this distance in kilometers.14. The average mass of an automobile in the United States is about 1.440 x 106 g. Express this mass in

kilograms.

15. From UA, the nearest Starbucks is 1.9 miles. (1 mile = 1.609344 km)a. How many meters away is that?b. If you drove an average of 35 miles/hour from UA to get to Starbucks, how long would it take you?

For #16 20, solve for the unknown variable, making sure to show your work for each step!

16.Given Y X - #${$ solve for a.17.Given H #$$ solve for v.18.Given solve for r.

19.Given solve for m.20.Given solve for .For #21 & 22, simplify the expression.

21.{Y 22.!

$


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For #23 & 24, find the unknown for the given triangle.

23.

24.

25.Use the internet or any other resource available to you to answer the following questions:a. What is the standard unit for length IN PHYSICS?b. What is the standard unit for time IN PHYSICS?c. What is the standard unit for mass IN PHYSICS?

15N

x

3m

R

25o

4m

y

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Math Review Physics Class