Velocity 
(constant,  average,  instantaneous,  initial,  final  )

Acceleration ( uniform,  due to gravity   9.8 m/s²  )

Unit Conversions

Problem solving techniques

Kinematic Equations

Vf   =  Vi  +  at 

d = (1/2)(Vf  +  Vi )t 

Vavg   =   Vf  +  Vi
                      2
d  =  Vit  +  1/2 at²

vf²  =  vi²  +  2ad
 
 

Physics     AA
Chapters    2 & 3
Kinematics--The Description of Motion 

Topics:

Kinematics                                     

Scalar vs. Vector 
Speed  Velocity 
Distance  Displacement     

Acceleration      
uniform
due to gravity  9.8 m/s2                             

Instantaneous and Average
 
Problem solving techniques   
  
Unit Conversions
                                     Kinematic Equations

vf  =  vi +  at           s =  (1/2)(vf + vi)t       s = vit  +  (1/2) at2        vf2  =  vi2  + 2as
vav =  (1/2)(vf + vi)

Significance of Shape of Graphs   
  
Direct  Variation

Slope and its meaning in different graphs 
Area and its meaning among graphs

Graphs:
Position vs. Time
Velocity vs. Time 
Acceleration vs. Time

Vectors       
Direction and Magnitude    

Vector Addition  
“tip  to  tail”  ; graphical, mathematical

Independence of Vectors    

Representation of : displacement, velocity,  acceleration          
Concurrent

Pythagorean Theorem
       c2  =  a2  +  b2     

Vector Diagrams

Addition of Several Vectors   

Components (vertical & horizontal)

Projectile and Projectile Motion

Vector Resolution for a right triangle, 
 sinq   = opp /  hyp  
 cosq   = adj  /  hyp 
 tanq   = opp / adj

Horizontal and Vertical are independent of each other

Trajectory

Frame of Reference

Lab #1 Describe the motion of five objects

Activities:
Computer Stations, Falling ruler,
Monkey & Hunter, Target practice
 

Problems:
 
CH 2        CH 3
DC 5, 15, 17      DC 1, 7
P 36, 47, 49, 58, 64, 65    P 2, 8, 10, 12, 14
Sketch & vector program  (25-34)  22, 25, 57, 60
Graphical method   (any two)  Bonnie Blair sheet
Mathematical method   (any two)
 

Activities:
Falling ruler
 

Lab #1
Describe the accelerations of the system

Slope and its meaning in different graphs 

Area and its meaning among graphs

Graphs:
Position vs. Time 
Velocity vs. Time 
Acceleration vs. Time

Activities:
Rolling ball
Computer stations

Horizontal and Vertical are independent of each other

Trajectory

Frame of Reference

 Activities:
 Computer simulation
 Monkey & hunter
 Target practice

Contact vs. Action at a Distance

Newton’s Laws of Motion
1. Inertia   Things stay the same unless.....
2. F=ma   What happens when a net force is present ?
3. Action-Reaction Forces come in pairs

Weight vs. Mass
W=mg

Units
Newton (N)      kilogram (kg)
Pound(Lb)        slug
1N=1kgm/s2

Equilibrium Net F=0

Ff=mFN
Static vs. Kinetic coefficient of friction
Normal force

Free Fall
Air resistance
Terminal velocity
 
 
 

Physics AA
Ch. 5  (Hecht)
Dynamics: Forces and Acceleration

Topics
Acceleration

Free Body Diagrams
F = Dp/Dt = ma
weight = mg
weight vs. mass
normal force
inclined plane  mgsinq   mgcosq
elevator

Curvalinear motion

centripetal vs. centrifugal
centripetal acceleration  ac = v2/r
centripetal force    Fc = mv2/r
circular motion
banking     tanq = v2/(gr)

Friction

friction     Fmax = mFN
static vs. kinetic    ms > mk

Homework
DC any 2
MC any 5
P from each section I(4), II(3), III(1)

Lab
Compare theory with experiment

Activities
The ball and the cone
Using circular motion to find the unknown mass

Lab #2:
The accelerating cart (Does the theory agree with experiment?)
 
 
 
 

Activities:
TheSick Note
 
 
 
 

Independence of vectors
Components (vertical & horizontal)
vector resolution
sinq=o/h
cosq=a/h
tanq=o/a

Pythagorean Theorem
c² = a²+ b²
Concurrent

Addition of vectors
Vector diagrams
“tip to tail”
Two methods: Graphical & Analytical
 

Equilibrium
Equilibrant

Incline Planes

Normal Force

isolated system

momentum  p=mv   kgm/s

impulse  Ft=D(mv)  Ns

nternal vs external forces

center of mass

Frame of reference

One dimensional collisions

Two dimensional collisions
 
 

Physics     AA
Chapters    4
Momentum: Newton’s Three Laws 

Topics:

Law of Inertia  (1st Law)
Galileo’s experiment
Velocity and Force are not so closely related.

Ballistic Motion

Forces and Vectors

2nd Law-
Mass: inertial and gravitational
Linear Momentum
p=mv

Impulse
FDt=D(mv)=Dp

Force - Time graph (area)

Interactions/Collisions

Conservation of linear momentum
1D
2D- (not in text) make the equation

vector program
Lab #2  A)   (Colliding Carts) Find the unknown mass.
  B)   (Ballistic Pendulum) Find the muzzle velocity of the gun.

Activities:
Egg Throw
Fan Cart
Water rocket
Auto collisions

Problems
DQ 1, 11, 15
MC 9-13, 16
P 1, 2, 12-16, 29, 30, 38, 39, 50, 55-58, 63, 65

Activities:
 2-liter bottle rocket
 P.V.C. gun
 egg throw
 Newton’s Cradle
 
 

Lab #3:
Is momentum really conserved?

Force-Distance graph
Work = Area

Power = work/time
 watt = joule/sec

Six simple machines
Fr, Fe, Dr, De

MA =  Fr/Fe
IMA = De/Dr
EFF = MA/IMA

PE = mgh

Conservation of Energy Law

Elastic / Inelastic Collisions
 
 
 
 
 

Physics AA
Ch. 6
Equilibrium:  Statics

Topics
equilibrium a=0

Translational equilibrium SF=0  SFh=0  SFv=0

Rotational equilibrium  St=0

concurrent, coplanar

compression, tension

ropes and pulleys

bars, bones, and trusses

Torque  t = r x F  t = r F sinq

cross product

moment

Center-of-gravity

Xcg = (SFwX)/SFw

Stable, unstable, and neutral equilibrium

Activities
pulley problems
weight room analysis
find the unknown mass

Homework
DC (2)
MC (5)
P translational eq, rotational eq, eq of extended bodies
 I (4)
 II (3)
 III (1)
No formal lab for this chapter.

 Activities:
 Find your power, F-D graph of a spring

Lab #4:
Find the MA, IMA and EFF of some machines

vf = vi + at                               wf = wi + at
d = t(vi + vf)/2                        q = t(wi + wf)/2
vf² = vi² + 2ad                        wf² =wi² + 2aq
d = vit + (1/2)at²                                q = wit + (1/2)at²

Centrifugal - Centripetal
ac = wv
ac = w2r
ac = v2/r
ac = 4p2r/T²
ac = 4p2rf²

Moment of Inertia (I) Using the chart mass and position

Conservation of angular momentum
 
 
 
 
 

Physics  AA
Ch. 8 
Rotational Motion

Rotation / Translation

Linear Angular
Kinematics
s q rad, deg, grad, rev s=rq
v w rad/sec, deg/sec v=rw
a a rad/sec2,  deg/sec2 a=ra

vf = vi + at wf = wi + at
s = t(vi + vf)/2 q = t(wi + wf)/2
vf2 = vi2 + 2as wf2 = wi2 + 2aq
s = vit + (1/2)at2 q = wit + (1/2)at2
vave=1/2(vf+vi) wave=1/2(wf+wi)

Dynamics
F = ma t = Ia
p = mv L = Iw  L = r x p
t = DL/Dt

Gyroscopic Stability

Center of mass

Rolling down an incline

Moment of Inertia
I = Smr2
Table 8.3 page 251

Conservation of angular momentum

Lab #4: Finding moment of inertia two ways

Problems
1, 2, 4, 9, 10, 13, 27, 34, 35, 37, 40, 43, 47, 56, 57, 66

Activities
Tops and Boomerangs
Rubber stopper

Lab #5:
Finding moment of inertia.

KE - max. & min.

PE - max. & min.

Compare and contrast with DHM

T = time/events
Pendulums
T = 2p(L/g)^.5  (best for small angles)
angle has small effect

mass effects only DHM

Springs
F = -kx  Hooke’s Law

Stiffening spring 
Softening spring

Slope 

T = 2p(m/k)^.5

Lissajous Figures
Ratio
Phase
 
 
 

Physics  AA
Ch. 9 
Energy

Work = Fs cosq

Deformable objects and friction

Work = area under a force-displacement graph

Work is path independent for a conservative force.
Work is path dependent for a nonconservative force.

Efficiency = work out/work in

Power = work/time

Power = Fv cosq

KE = (1/2) mv2

GPE = mgh

DGPE = GmM(1/r1-1/r2)

Internal energy

Conservation of energy

Escape velocity = (2GM/R)^0.5

Elastic vs Inelastic collisions

Mass on a spring
spring constant k    T=2p(m/k)^0.5

Pendulum     T=2p(L/g)^0.5

Lab #5: Finding the spring constant two ways.
Lab #6: Finding the efficiency of some simple machines.

Problems
1, 4, 5, 10, 13-15, 27,   30-33, 38, 45,   48, 49, 52, 53, 62, 65-67

Lab #6:
Finding k by two methods