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Name: ____________________________________Per______Date__________AP Homework #1: Math ReviewWelcome to AP Physics 1! In this course you will find out how things work and why things work the way they do. This course will challenge, enlighten, and (sometimes) frustrate you. And, although it is a course that requires much effort and dedication, we do try to have some fun. In physics, we try to understand the relationships between the physical properties of objects and systems. We use mathematics to describe these relationships. So, while this course is not a math course, we do use math quite extensively. It is extremely important to have a strong background in basic math and science skills to be successful in physics; therefore, part of your summer assignment will be to review the skills necessary for understanding the course material throughout the year. Reference Sheets I have included the tables of information in this packet for you to refer to as you work through the basic science skills part of your homework. We will use the information contained in this reference packet throughout the year – you need to become familiar with this information so that you know what I’m talking about. Greek Letters In physics, we use variables to denote a variety of unknowns and concepts. Many of these variables are letters of the Greek alphabet. If you are not familiar with these letters, you should become so. While there is no practice work for this section and while you do not have to outright memorize these letters at this point, you need to have this exposure so that when class starts and you see “μ” on the board, you don’t call it, “that funny looking m-thing”. These variables have specific names and I will be using these names – you need to do the same. The Metric System Everything in physics is measured using the metric system. The only time that you will see English units is when you convert them to metric units. The modern form of the metric system is called SI (from the French, “Système International”). In the SI system, all quantities are either base units (KMS) or derived units. Derived units are made up of base units; therefore, you must be familiar with the three major SI base quantities and units: (Kilograms/Meters/Seconds) – they will be your best friends by the end of the year! 1. SI UnitsWhat if you don’t know the conversion factors? Colleges want students who can find their own information (so do employers). Hint: Try a good dictionary and look under “measure” or “measurement”. Or the Internet? Enjoy.4008 g= _______________ kg1.2 km= _______________ m823 nm= _______________ m298 K= _______________ oC0.77 m= _______________ cm8.8x10-8 m= _______________ mm1.2 atm= _______________ Pa25.0 m= _______________ m2.65 mm= _______________ m8.23 m= _______________ km5.4 L= _______________ m340.0 cm= _______________ m6.23x10-7 m= _______________ nm1.5x1011 m= _______________ km2. Converting between English Units and Metric UnitsSince we live in the US and it is one of the few countries that uses Standard English Units, we should always try to put the metric units into perspective when dealing with physical concepts. Only then will you be able to gauge whether certain answers end up reasonable or not. Show your work on how you are arriving to your answer:a. 250 feet is how many meters?d. 1 km is how many miles?g. How many m/s is 60 mi/hr?b. A car moving at 30m/s is how fast in mi/hr?e. 12.5 inches is how many centimeters?h. 500 miles is how many meters?c. 20 centimeters is how many inches?f. Driving in a foreign country the speed limit is 60km/hr, what would that sign say in the US?i. 12 meters is how many yards?3. Scientific Notation Express the following in standard notation: Convert the following into Scientific NotationConvert the following into Standard Notationa. 178.90 ____________________b. 0.00648 ____________________c. 100000 ____________________d. 0.0583 ____________________e. 178989990 ____________________ (Round to the hundredth also)f. 2.64 x 104 ____________________g. 1.76 x 106 ____________________h. 3.97 x 10-3 ____________________i. 86.5 x 10-1 ____________________j. 4.2 x102 ____________________4. Calculate510476590868500The following are ordinary physics problems. Place the answer in scientific notation when appropriate, round to the hundredths when necessary, and simplify the units (Scientific notation is used when it takes less time to write than the ordinary number does. As an example 200 is easier to write than 2.00x102, but 2.00x108 is easier to write than 200,000,000). Show any intermediary steps in the space provided. Do your best to cancel units, and attempt to show the simplified units in the final answer. 5. RearrangeOften problems on the AP exam are done with variables only. Solve for the variable indicated. Don’t let the different letters confuse you. Manipulate them algebraically as though they were numbers. Show all algebraic steps and box your final answer.Solve for a: v2=vo2+2a(s-so)Solve for x: K=12kx2 Solve for g: T=2πlgSolve for si: 1f=1so+1siSolve for t: x= xo+vot+12at2Solve for v: mgh=12mv26. GeometryA. Solve the following geometric problems.Line B touches the circle at a single point. Line A extends through the center of the circle.429768013335BA00BAWhat is line B in reference to the circle?How large is the angle between lines A and B?222821525400C45o30o00C45o30oWhat is angle C?The radius of a circle is 5.5 cm, What is the circumference in meters?What is its area in square meters?349758024130420120042012What is the area under the curve (line segments)?B. Using the generic triangle to the right, Right Triangle Trigonometry (SOH, CAH, TOA) and Pythagorean Theorem solve the following. Your calculator must be in degree mode. Ensure all answers have correct units.= 55o and c = 32 m, solve for a and b.= 45o and a = 15 m/s, solve for b and c.b = 17.8 m and = 65o, solve for a and c. a = 250 m and b = 180 m, solve for and c. a =25 cm and c = 32 cm, solve for b and .b =104 cm and c = 65 cm, solve for a and .7. GraphsThe following questions refer to the graph of the red line shown below:a) What is the slope of the graphed line?b) What is the y-intercept of the graphed line?c) What is the equation of the graphed line in the "slope-intercept" format?d) What X value correlates to a Y value of -13?e) What Y value correlates to an X value of 1.75?f) What X value correlates to a Y value of 15, if the line were extended? ................
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