.Part I from E & M packet html
Unit 1 (electrostatic forces) pdf
Unit IIA (electrostatic fields) pdf
Unit IIB (electrostatic fields) pdf
Unit III (electric potential) pdf
Unit IIIB (electric potential) pdf
Unit IIIC (electric potential) pdf
Unit IVa (capacitors & dialectrics) pdf
Unit IVb (capacitors & dialectrics) pdf
Unit IVc (capacitors & dialectrics) pdf
Unit IVa (capacitors & dialectrics) pdf
Unit VA (Ohm's law and DC circuits) pdf
Unit VB (Capacitors in circuits) pdf
Unit 7A (calculating magnetic fields)
Unit 7B (more calculating magnetic fields)
Unit 8A (electromagnetic induction)
Unit 8B (More electromagnetic induction)
Unit 8C (end of electromagnetic induction)
| Date | Topics | Homework | ||||||||
| 30 Jan | Statics and finding forces in structures | Handout on the physics of rowing. See my home page for a copy of this | ||||||||
| 31 Jan | Turning statics and
Kirchoff's law problems into matrices Review of dynamics |
Statics and structures
Kirchoff's laws applied
|
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| 1 Feb | Review of dynamics with
friction Discussion (review) - solving simultaneous equations using matrices |
Page 111 Questions
2,7,9 Page 112 Problems 2, 3, 4, 8, 15, 19, 37, 41, 47 |
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Week 2 |
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| 4 Feb | Review of Weight, apparent
weight, normal forces. etc. Circular motion and banked turns |
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| 5 Feb | Introduction to rotational
motion and why radians are such a good idea q, w, a Translating from linear to angular motion d = r q v = r w a = r a |
Page 240 Problems 15 - 25 odd | ||||||||
| 6 Feb | Concept of the Moment of
Inertia I = S r2 dm |
Page 240 Problems 16 - 26
even Page 241 Problems 33 - 37 odd |
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| 7 Feb | Moments of Inertia conservation of angular momentum rotation and KE Lab: rolling balls down slopes. Theory and reality Do the numbers match |
Page 244 Problems 65 - 66 | ||||||||
| 8 Feb | Concept of Torque t = R x F or t = (R)(F) cos q and t = I a Important: The rules for rotational motion do not supecede those for linear motion. They are complementary. So for most situations where you would use dynamics you can start with two sets of equations Linear and Rotational F net = m a t net= I a |
Page 242 problems 51, 53, 55 | ||||||||
Week 3 |
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| 11 Feb | More Torque applicatoins
Find the maximum rolling acceleration possible given m, m, R, and r for the yoyo above What if you wrap a disk with a long strip of paper. If the paper is attached to the ceiling and the disk is allowed to unwind, find the downward acceleration of the disk. |
Problem #1
Given the a Yo-yo in the situation below. R = 1
meter, r = 0.2 meters, mass = 1 kg, m
= 0.5. Find the maximum rolling (not sliding)
acceleration of yo-yo can experience. Find the
maximum tension in the rope before the yo-yo will start
to slide.
Problem #2 assume you have just hit an oversize cue ball and have given it an initial speed of 5 meters/sec. Find how far the ball will slide before it finally rolls without sliding. Also find out the final velocity of the ball when it rolls without slipping. Other information you might use: the mass of the ball is 0.3 kg, its radius is 0.1 meters, m = 0.3, the mass of the Earth is 6.0 x 10 24 kg, the ball was made 5 years ago. |
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| 12 Feb | More fun with sliding spheres Several cases were you cannot just simply solve the problem by using energy principles. Remember
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Problem #1
Assume you now give your 0.3 kg,
0.1m radius solid cue ball a strong case
of English (back spin of 75 radians per second
and an initial forward speed of 5 meters per
second. If the coefficient of friction with
respect to the table is 0.3 find the
following: (A) how far it moves forward before stops
moving forward, (B) how fast it ends up moving backwards
after it stops slipping and begins to roll.
Problem #2 Assume you have a 100 kg metal disk of radius 0.5 meters. This disk is free to roll because it is mounted on frictionless bearings. Now suppose you wrap around its outside edge a rope. To this rope there is attached a 20 kg mass. Find the following: (A) the tension in the rope and (B) the acceleration of the 20 kg mass.
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| 13 Feb | Review of dynamics rules for
rolling objects that do not slide
|
Lets say that you have a
yo-yo problem similar to those given last week. The mass
of the yo-yo is 1 kg, its outside radius is 1 meter and
the coefficient of friction is 1. "g" is still
9.8 m/sec2. You are allowed to vary the diameter of the
massless center bar from a maximum radius of 1 meter down
to 0.05 meters in 0.05 meter increments. If the string is
wrapped around over the top of the center bar, graph the
maximum linear acceleration and forces that can be
applied without causing the yo-yo to slide.
For the problem above, there are several interesting radii for the center bar. What happens when r = (0.5) R ? Does this make sense? Now do the same thing, but this time have the string wrapped on the underside of the bar.
If you did this problem correctly the linear acceleration for each when r = 0 should be the same. Do your answers confirm this? |
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| 14 Feb | Review of homework Important: Most of the problems you will encounter in college are generalized. You will not be given specific dimensions and you will have to solve for a range of possible values. We need to get used to not having numbers. Pop Test |
Problem #1
A hoop of radius (R) and mass (M)
is rolling down a hill which has a slope (q). Find the
acceleration of the hoop and the minimum coefficient of
friction (m)
necessary for it not to slide. Problem #2 Given the same hoop which is rolling up the same slope. Now find the acceleration of the hoop and the minimum coefficient of friction (m) necessary for it not to slide. Problem #3 Given two masses (M1) and M2) which are tied together by a string. The string is placed over a pulley of mass (M3). This pulley is for all intents and purposes a hoop of radius (R) If the system is free to move find the following: its acceleration and the tensions in the rope on each side of the pulley. |
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| 15 Feb | Intro to Angular Momentum and
its conservation L = I w |
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Week 4 |
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| Define Radius
of Gyration and describe its importance when
dealing with non-symmetrical bodies. Discuss how objects that are moving in a straight line can still have angular momentum.
Review conservation of momentum (angular and linear) where the mass of the system is changing. e.g. a person jumps on a merry-go-round or material is being ejected from a rocket. |
Problem
#1 You have a 10 kg rocket that is
loaded with 90 pellets of fuel. Each pellet has a
mass of 1 kg. The rocket is initially at rest at a
space stop sign. Pellets are thrown out at a rate of one
pellet each second. As measured by the rocket the pellets
have a speed of 300 m/sec away from the rocket.
Find the speed of the rocket after each pellet is thrown
out. What happens to the relative increase in speed after each?
Problem #2 Your 10 kg space ship is now a 10 kg space hoop of radius 10 meters It is loaded with 90 pellets All the pellets are located on the outer edge of the disk. They are fired out tangentially, two at a time, from opposite sides of the disk and in opposite directions so as to make the disk spin. The pellets are ejected with a speed of 300 m/sec relative to the disk, how fast will the disk be spinning after each pair is ejected? |
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The incredible shrinking Sun. Right now the sun has a mass of 2 x 1030kg and a radius of approximately 7 x 108 meters. It rotates on its axis once every 30 days.
What happens as the sun exhausts its nuclear energy? Answer: It gradually shrinks down and becomes a black hulk that spins faster as it shrinks. This is an example of conservation of angular momentum.. For simplicity's sake, let us assume that the sun's mass does not decrease appreciably. (This is a stretch, sort of like massless ropes and frictionless slopes) When it finally stops shrinking it will have a radius of 6.38 x 106 meters. Approximately the size of the Earth.
Find the following:
|
Problem #
1 Finish the shrinking sun problem Problem #2 Your 10 kg space ship is now a 10 kg space disk of radius 10 meters It is loaded with 90 pellets All the pellets are located on the outer edge of the disk. They are fired out tangentially, two at a time, from opposite sides of the disk and in opposite directions so as to make the disk spin. The pellets are ejected with a speed of 300 m/sec relative to the disk, how fast will the disk be spinning after each pair is ejected? |
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| Review | Review for test | |||||||||
| Big Test | ||||||||||
Week 5 |
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| Starting this week we will be
covering Mechanics and E&M simultaneously. This is
because there are so many cases where relationships and
methods for solving problems overlap. We will also be
incorporating more calculus. A. Integration and physics
B. Charge and Force comparisons to mass and Force
C. Handout Part I (31 pages) |
Read pages 1 - 11 Fill in all blanks and do all problems | |||||||||
Forces that vary over
distance
Work as the integral of Force and displacement |
Read pages 12 - 18 Fill in all blanks and do all problems | |||||||||
Finding Work done by
integrating
Discussion gravitational potential energy (U) of an object on Earth and its relationship to escape velocity. |
Read pages 19 - 23 Fill in all blanks and do all problems | |||||||||
| Review of the Dot product
specially as it applies to (F)(dl) cos q relationships we will be studying
|
Do problems 1,2,5,6,14 at the end of the packet | |||||||||
Week 6 |
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| 5 Mar 01 | Math Review of trig identities and the deriviatives of sin, cos, cosecant, secant, tangent Mechanics More on Center of mass E & M Finding the electric field at a distance from a line of charge (not using Gauss' Law
Expected Field relationships as measured from
|
Hwk: 3 center of mass problems (handout) | ||||||||
| Math Discussion of the concept of the Dot product Discussion of flux as it applies to light being received from the sun at the equator, in San Diego, and at the North Pole. Mechanics Center of mass and orbiting bodies
E & M Introduction to Gauss' Law
|
Given a binary star system M1 = 4 x 1030 kg M2 = 1 x 1030 kg and the distance from center of one star to the center of the other is 5 x 109 m. Assume each is in a circular orbit around the combined center of mass, calculate the following:
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Math
Mechanics
E & M
|
Three Simple Harmonic Motion
problems from text
Given two plates of charge. Each having the same charge density but opposite charge. Using Gauss's law
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Math
Mechanics
E & M
|
Given the three situations
below where k1 = 1000, K2 = 1500, and M = 100 kg. If the
maximum displacement is 10 cm, find the frequency of
oscillation, the veloctity max and the maximum
acceleration of the system
|
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| Quiz on Gauss' Law and Simple Harmonic Motion of spring systems | Find the Electric field
strength at locations A, B, and C if the inner hollow
sphere has a charge of+2Q and the outer sphere has a
charge of - 1Q.
Graph the relative field strengths as you move from the center of the small sphere out to infinity |
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Week 7 |
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Week 8 |
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Last Year - Spring 1999
| Week 1 | ||
| Date | Topics | Homework |
| 2-Feb | Review of Final for Honors Classes | Handout: Physics of Rowing |
| 3-Feb | Introduction
to the calculus and its relationship to Mechanics Graphing motion and the Calculus Begin Lab: Balls rolling down a ramp
|
Review of kinematics Ch 2 Questions 9, 10, and 12 Ch 2 Problems 3, 14, 15, 17, 68, 69, 72 |
| 4-Feb | Review hwk. Continue the lab |
Complete the experimental portion of the lab. |
| 5-Feb | Lab Related
Discussion:
Circular motion and sloped curves assuming no friction |
Ch 3, Questions 7, 9,
13, 17, and 20 Ch 3, Problems 19, 57, and 65 |
| Week 2 | ||
| 8-Feb | Lab Related
Discussion:
More on circular motion and sloped curves now assuming friction Preparation for rotational motion. Several mind problems dealing with energy: which has more, why, and how can the energy be accessed.
|
Ch 5 Questions 2, 4,
and 25 Ch 5, Problems 24, 55, 56 |
| 9-Feb | Angular motion: units and conversions to linear motion | Ch 6 Problems 37, 52, and 53 |
| 10-Feb | Torque Moments of Inertia
Energy problems |
Using energy
principles, calculate the final velocities of the
following 10 kg objects which roll down a ramp from rest
and have initial elevations of 10 meters
Assume each has an outside radius of 1 meter and that the tube has an inside radius of 0.5 meters. |
| 11-Feb | More conservation of energy and rotational motion problems | Problem 1: Given a
pulley system of two hanging masses (M1 = 2 kg, M2 = 1
kg). If the system starts from rest and the larger mass
falls 6 meters, use Forces to find the final velocity of
the larger mass. Problem 2: Repeat the problem above. This time use Energy principles to find the final velocity. Problem 3: Now take into account the rotational inertia of the pulley itself. Assume the pulley has a mass of 2 kg and a radius of 0.5 meters and is essentially a hoop and not a disk. |
| Week 3 | ||
| 16-Feb | When Energy is not enough and Torque is the only way. | You have a huge
"yo-yo" with an outside radius of 0.5 m a
center dowel of radius 0.05 m and a mass of 10 kg. Solve for acceleration if the yo-yo is released from rest in two different situations. First assume the string is wound accidentally around the outside of the 0.5 meter disk. Second, assume the string is properly wound around the inner dowel as it should normally be. In real life, the string ends up being wound around string which causes the radius of the dowel to change. How does this effect the answer? |
| 17-Feb | Review of motions in
the Yo-Yo How static and kinetic frictions influence rotational motion Discussion involving when friction leads to work out of a system and when it does not. Description of rolling friction. |
You have a billiard
ball (m = .160 kg) that has been struck and given an
initial velocity of 3 m/sec. The coefficient of static
friction between the ball and the table is 0.4 and the
coefficient of sliding friction is 0.2. If the ball was
not initially spinning, find out how far it slides before
it rolls without sliding. Also, find its final rolling
velocity. Be careful you cannot always use the translation (displacement) = (radius)(theta). Where and why is this so? |
| 18-Feb | Tour to Tech Faire | |
| 19-Feb | Review of the
billiards problem
|
Given the
"Yo-Yo" in the picture below. If R = 0.05 m and
r = 0.02 m, the mass of the disk is 0.1 kg and the
coefficient of friction is 0.5. You want to pull it along
the ground using the string.
Make a complete force diagram and calculate the maximum acceleration you can have without breaking friction.
Now, let us look at the "yo-yo" from a slightly different point of view. Let us pretend the string is wrapped so that it comes from underneath the center dowel. Make a complete force diagram and calculate the maximum acceleration you can have without breaking friction.
There must be a critical angle at which the "yo-yo" neither accelerates forward nor backward. What is this angle? |
| Week 4 | ||
| 22-Feb | Review of Hwk and discussion | Review for exam |
| 23-Feb | Test |
Read Ch 13 section 4 and do problems 27, 29, and 31 |
| 24-Feb | Intro to Conservation of Angular Momentum | Ch 13, problems 26, 28, 30, and 35 |
| 25-Feb | More on Conservation
of Angular momentum Intro to impulse and Angular momentum |
|
| 26-Feb | Bigger Test Parallel Axis Theorem |
Ch 12 Problems 6, 7, 8, 12 |
| Week 5 | ||
| 1-Mar | More on the parallel
Axis Theorem Center of mass in general |
Ch 9 Problems 2, 3, 7, 17, 18, and 19 |
| 2-Mar | More on C of M | Handout |
| 3-Mar | Orbit problems taking
into account center of mass. Determining PE as one moves toward a very massive object. |
Derive a generalized equation to find the period of orbit for a binary star system where each star is in circular motion around the center of mass. Given: M1, M2, R between stars, and G. |
| 4-Mar | Determining Work by
stepwise means as one compresses a spring. Determining Work by stepwise means as one moves toward a massive object |
Given a spring with a
spring coefficient of 100 which you will compress a total
distance of two meters. Use either a spread sheet or
write a program to asses the work done in the following
cases:
Given a star of mass 2.0 EE 30 kg and radius of 1.0 EE 10 meters. You move in from a distance of 101 EE 10 meters in 100 equal steps. Find the running total of the work done as you move toward the star. |
| 5-Mar | Review Test | |
| Week 6 | ||
| 6-Mar | Review of 1st part
mechanics test Intro to electricity. Please don't lose the packets you will be given. They are the best thing I have ever seen for teaching electricity and magnetism |
Fill in the blanks pages 1-1 to 1-10 |
| 7-Mar | Force to field | Fill in the blanks pages 1-11 to 1-17 |
| 8-Mar | Force to work Explanation of the path independence of work and how to integrate to get energy stored as you move charges together. |
Fill in the blanks pages 1-18 to 1-27 |
| 9-Mar | Fields to potential Introduction to finding electric potential. by using fields and integrating. |
Questions at end of packet 1 # 2, 10 |
| 10-Mar | Review of problems | Questions at end of packet 1 # 9, 12 - 15 |
| We skip a large portion of time | ||
| 19-Apr | Packet V fill in blanks on pages 28 - 34 | |
| 20-Apr | You are charging up a
RC circuit given the following:
Find:
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| 21-Apr | ||
| 22-Apr | ||
| 23-Apr | ||
Last update: Sometime in the recent past
By: George Stimson
Spring 1998
| Week 1 | ||
| Date | Topics | Homework |
| 2-Feb | Introduction Statics and solving simultaneous equations | Two handouts |
| 30-Jan | Review Intro to solving linear equations using matricies | Two more complicated handouts (Second Handout) |
| Week 2 | ||
| 2-Feb | Acceleration revisited Data collecting on Galileo's ramp | Finish graphs of disp. vs time for each of the rolling balls |
| 3-Feb | Reading from disp to acc and back again. The fundamentals of calculus visited. | Ch 2: Questions 9 - 12 and Problems 3, 5, 14,15, 20, 33 |
| 4-Feb | Review Motion in 2 dimensions | Ch 2: Problems 18, 19, 68, 69, 72. Ch 4: Questions 9, 13, 15, 17, 18, 20 and Problems 14, 15, 19, 23 |
| 5-Feb | Force diagrams | Ch
5: Questions 2,6,8,25,28,29 Ch 5:Prob 24,33,55,56,57 |
| 6-Feb | Final Review of Force diagrams | Ch 6: Prob 17,24,25,29,40,52 |
| Week 3 | ||
| 9-Feb | Finding
work done by integration. Spring Lab |
Finish lab |
| 10-Feb | Rat trap lab - review of circular motion | Determine banking needed on curved frictionless road if vel = 30 m/sec and radius = 200 m. Next assume static friction coefficient = 0.4 find max and min. speeds allowed on this curve. |
| 11-Feb | More on energy | Ch 7: Questions 5,10 Prob 10, 11, 21, 29,41,42 ex cred problem 58 |
| 12-Feb | Test | Ch 11: Prob 12 - 15, and 25, 26, 28 |
| 13-Feb | President's day | |
| Week 4 | ||
| 16-Feb | President's day again | |
| 17-Feb | Intro to rotational measurements (q, w,a) and discussion on the relative merits of radians vs degrees | Handout from Ch 8: Giancoli problems 8,10,16,18 |
| 18-Feb | Description of Moment of Inertia using KE | Ch 11: Problem 32 Ch 12: Prob. 4, 5, 8 |
| 19-Feb | Revisiting Galileo's acc down a ramp lab | Ch 12: Problems 34, 47, 48, 49 |
| 20-Feb | Quiz and Intro to torque | |
| Week 5 | ||
| 23-Feb | Torque | Packet Prob. 23, 25, 31, 36, 38 |
| 24-Feb | Applications of Torque | Find the equation for distance a pool ball will slide before it rolls smoothly on a table. Given R, Vo, and coefficient of friction |
| 25-Feb | Conservation of angular momentum | The sun as it finally
dies will shrink to about the size of the Earth. Assuming
it has a rotational period of 15 days and its final mass
is not much less than its present mass. Find its final
rotational speed. Find the angle that pulling on a thread attached to the spool will cause it to not accelerate forwards or backwards along a table top |
| 26-Feb | Bringing angular motion together: Torque, Momentum, and Energy | Ch 13: Questions 9,10,12,15,20,21 and Problems 12,23,29,33 |
| 27-Feb | Test | |
| Week 6 | ||
| 2-Mar | More on Energy and Momentum |
Using conservation of angular momentum and conservation of energy principles, find the perihelion point for a satellite having an aphelion distance of 1 AU and an aphelion velocity of 0.5 of our Earth's velocity. |
| 3-Mar | Relative merits of Theory and Approximation techniques for solving physics problems |
Give me step by step instructions which will allow me to approximate the path of any planet in orbit around the sun. You will be given the following for starting information: Vert and Horiz location of the planet and Vert and Horiz velocities of the planet. Assume that the sun is originally located at point (0,0) |
| 4-Mar | Review of program flow chart |
Implementation of the program for an object located at 1 AU from the Sun and a velocity of 15,000 m/sec. Use an iteration time of 10 days. Graph at least the first ten iterations. |
| 5-Mar | Center of Mass |
Finish program for motion of planet around massive star. Find C of M for the Earth Moon system. |
| 6-Mar | More on Center of Mass |
Ch 9: Problems 2, 7, 17, 18, 19 |
Week 7 |
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| 9-Mar | Parallel axis theorem | Two C of M problems, Ch 12: prob 6 and 8, Ch 10: prob 10 and 14 |
| 10-Mar | Bringing it together | Ch 14: prob 5, 10, 19, 25 |
| 11-Mar | Review of hwk | Ramp Problem, |
| 12-Mar | Prepare for exam | |
| 13-Mar | Test: C of M, moment of inertia,torques | Take home portion of test |
Week 8 |
||
| 16-Mar | Intro to Simple Harmonic Motion | Ch 15: Questions 5, 8, 10, 11, 21 |
| 17-Mar | Tacoma Narrows Catastrophe | Ch 15: Problems 5, 8, 9, 14, 21 |
| 18-Mar | Coupled springs, Pendulum | Ch 15: Problems 22, 34, 37, 41 |
| 19-Mar | Real vs Ideal pendulums | Ch 15: Problems 43, 47, 48, 50 |
| 20-Mar | Ch 15: Problems 49, 36, 23, and Question 12 | |
Week 9 |
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| 23-Mar | Sample AP word problems | |
| 24-Mar | Review from Hwk | Sample AP tests (multiple guess) |
| 25-Mar | Charge vs mass | More Sample AP problems |
| 26-Mar | ||
| 27-Mar | ||
| 30-Mar | ||
| 31-Mar | ||
| 1-Apr | Final Exam (Part I) | Take home portion of Final Exam (Part II) |
| 2-Apr | Final Exam (Part III) | |
| 13-Apr | Packet on electric forces | Packet I: |
| 14-Apr | Packet on electric Fields | Packet I: |
| 15-Apr | Fields around rings of charge | Packet II: |
| 16-Apr | Gauss's Law (intro) | Packet II: page 28 question II |
| 17-Apr | More on Gauss's Law | Packet II: End of packet questions
6 and 10 Packet III: Read pages 1 - 8 |
| 20-Apr | Potential Difference Lab | Packet III: Questions 1 - 10 |
| 21-Apr | Potential Difference | Packet III: Questions 11 - 19 |
| 22-Apr | STAR TEST | |
| 23-Apr | STAR TEST | Review for test. |
| 24-Apr | Potential Difference Test | Packet IV: Pages 1 - 5 fill in the blanks |
| 27-Apr | Capacitance - general intro | Packet IV: Problems 1 - 4 |
| 28-Apr | Capacitance - Series and Parallel circuits - introduction to dielectrics | Packet IV: Pages 9 - 16 fill in the blanks |
| 29-Apr | Circuits: V,I,R,P | |
| 30-Apr | Circuits: More on Kirchoff's Laws | |
| 1-May | Magnetic Fields and their effects on charged particles | |
| 4-May | Velocity selectors and mass
spectrometers. Torques: on current loops and comparison to mechanics |
|
| 5-May | ||
| 6-May | Biot Savart Law | |
| 7-May | Ampere's Law | |
| 8-May | Sample Mechanics Questions | |
| 11-May | Sample Multiple Choice section for
AP Mechanics Exam Conclusion Packet VII |
|
| 12-May | Sample Word Problems For AP
Mechanics Exam Intro to Induction |
|
| 13-May | More Review and More on Induction | |
| 14-May | Last Review for AP Exam | AP Exam 12:00 PM |
| 15-May | ||
| 18-May | ||
| 19-May | ||
| 20-May | ||
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