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AP-1: Dimensional analysis practice and upcoming quiz notes

Solutions to some of the practice exercises from your notes:

AP-1- Symbolic alg and dimensional analysis practice

Relevant power point notes from class:

Metric system and conversions…you will remember this one from the summer packet if you used it.

All about matter…this is what we were looking at in class Friday (A-day).  These and a number of other items can be found on the unit page for this unit: AP-1 –> Fall semester –> Unit 1

Remember that you will have a quiz on Wednesday (A) or Thursday (B) over material that we have covered since the start of school, specifically:

  1. Metric system and conversions between metric prefixes
  2. General dimensional analysis and conversions between units
  3. Applying orders of magnitude estimation
  4. The fundamental structure of matter

I planning the quiz to be about 20-25 minutes in length and I will call time.  Be ready, work diligently.

If you have not already done so, please set up your webassign account!  We will get some practice using webassign and learning about that system after the quiz.


AP-C: Calculus worksheet solutions

On the calculus exercises worksheet, please utilize the general forms of derivatives and integrals from the document in your packet (also found HERE)  On the derivatives worksheet you are to take the first and second derivatives of each function, however, at present, for our needs you may SKIP questions 5, 6, 7, and you should consider #10 to be your challenge problem.  Solutions for the first derivatives are below.  If you can take a first derivative, taking a second follows the same pattern, at least for simple polynomials.

For the integrals/anti-derivatives, you can skip items 4, 5, and 9.  Consider number 6 to be your challenge problem.  For info on how to work out the “definite” integrals on 7 and 8, see the end of the power point notes HERE  We will begin class on Wednesday with definite integrals just before we have our quiz.  Give these a try, but don’t freak out if you don’t get them.

Hopefully these will help you out.  If you are having difficulty with specific problems PLEASE email me or come in on Tuesday morning and let’s get it sorted out.  Also, I kind of rushed these so if you find something amiss please let me know ASAP.

Derivatives worksheet:

1) 21x^2      2) 6x+6     3) 30x^5-21x^2+3      4) -21x^6     8. re-write the function as x^-6, dy/dx = -6x^-7

9) let the function be written as 3x^(1/2),  dy/dx = (3/2)x^(-1/2)


Integration worksheet:

1) (4/2)x^2 + C = 2x^2 + C        2) x^3-3x^2+2x + C      3) x^4+(7/2)x^2 + C

7) anti-derivative = (4/3)x^3 + (3/2)x^2, now evaluate the anti-derivative at each limit and take the difference (top limit evaluation minus bottom), so:
(4/3)6^3 + (3/2)6^2 – 0 – 0
288 + 54 + 0 + 0

8. anti-derivative = ln x, now evaluate the anti-derivative at each limit and take the difference (top limit evaluation minus bottom), so:
ln5 – ln2 = ln5/ln2 = 2.32


Fare thee well, class of 2014!

Ladies and Gentlemen of the class of 2014:

It’s been super fun.  Really.  I’m not a big fan of goodbye’s, but I would be in denial if I told you that many of us would meet, together as a group, once more on this Earth.  You have been an amazing class, and through all of the ups and downs we have shared, I have learned some things from you even while, I certainly hope, you have learned some things from me.  I hope that besides physics, you have learned to question and to think.  I hope that you have come to enjoy irreverent sarcasm as much as I, and I hope that you have come, or at least are coming to enjoy the beauty of our world that lies beneath the numbers.  We live in an elegant place and I am mystified and fascinated by its nuances, captivated by its chaos, and captured by its order every day.  You, now, get to play a part in that (because apparently when you are 18 the social order decrees that you are ready, regardless of whether you were before or won’t be until later).  Enjoy your lives.  Keep in touch when you can.  Hit me up on Facebook…yes, that makes me old, but sometimes you need more than 140 characters to say something, and its much less of a pain than cataloging all of your email addresses which will surely change over the next 10 years.  I think I say this every year (except for the “cheating year,” and I don’t really talk about them very much), but for right now, you really have been the best, most successful class that I have ever taught, and I am very proud of you.

AP Seniors 2014


PreAP Spring Final Exam Information

PreAP Spring Final Exam Information



PreAP multiloop circuit practice “quiz” KEY

PreAP–KEY–multiloop circuits quiz


PreAP Combo circuit example from class (hard)

PreAP Combo circuit example from class


PreAP Circuits HW 2, hints and helps


You will construct a series circuit with the resistor you are given and another resistor, let’s call it X.  Draw a picture.  We know X has a value less than your given resistor (as per the problem) so we know the voltage across it is less than the that of the given resistor.  I’m going to be general since I am actually answer in this question for several people.  Let’s say you have a 6V battery and you need a 5V power supply.  What this means in practical purposes is that you need 5V across the given (larger) resistor.  The remaining voltage (1V in this case) will be across resistor X.  Use your values to find the current in your given resistor.  Since you have constructed a series circuit (a voltage divider) you can use this same current in resistor X.  You already know the voltage across resistor X is the difference between your power supply and what you needed (in this case 1V), so using your current and this voltage you can find the value of resistor X.

This is actually a common problem in the construction of electronics.  You need a particular voltage somewhere, but you only have a certain power supply.  This is the process you have to follow.



C: Since the hairdryer and the TV are plugged into the same outlet, this implies that they are in parallel (does your TV shut off if you turn off the hairdryer?  Hopefully not, although I do wonder why you are plugging your TV and hair dryer into the same outlet to begin with…a little odd).  So you simply need to find the equivalent resistance of the two items in parallel.

D: This is basically part B all over again, but using your equivalent resistance of the two appliances from part C.  You need count the contribution of resistance in the wires (for most people, 2-3 Ohm’s) once.



The problem mentions two batteries in series.  This is essentially what you did in the Ohm’s law lab by adding batteries to a circuit.  It is what you do when you put two batteries in a flashlight, or four in your calculator.  By placing batteries in series (facing the same direction) you are providing additional increases in electric potential to the circuit than a single battery.  In this case, you have two 1.5V cells, giving you have 3 total volts, and therefore TWO times the internal resistance stated, plus the resistance of the bulb given in the problem.  A and B are easy.  Use ohm’s law to find the current (part A) and P=IV to find the power (part B).  Part C is the part I mentioned in class that is acting strange in webassign.  All you should have to do is get rid of the internal resistance mentioned in the problem and re-do parts A and B and find the difference between your original and new value, but webassign is spitting out 90% of the correct answers.  Treat the “internal resistance” of the batteries as a small resistor (each) in series with the rest of the circuit.


PreAP: E-fields & Forces worksheet KEY

Worksheet–KEY–PreAP Efields Forces

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