Big Ideas

Motion

Relate position, velocity, acceleration and time for objects traveling in 1 or 2 dimensions. x=x0+v0*t+½a*t2
v=v0+a*t
v2=v02+2a(x-x0)

Force

Relate acceleration and force, find tension and normal forces, relate friction to normal force. SF = ma
Add by components as needed
F12 = - F21
F(G)=mg
F(frk)=mkF(N)
F(frs)<=msF(N)

Circular Motion

Relate acceleration, speed and radius for an object traveling in a circle. aR = v2/R FR = mv2/R

Energy

Relate total energy (potential, kinetic, other) at two points in time.  Relate work (energy) to distance and force.
W = Fd·cos(q)
KE0+PE0+...=KEf+PEf+...
KE = ½mv2
PEg = mgy
PEs = ½kx2

Momentum

Relate momentum (mass and velocity) of several objects before and after interaction (esp. collision.)
Spbefore = Spafter
 Add by components as needed
I = Dp = Faverage*Dt
 

Rotation

Relate angular position, angular velocity, angular acceleration and time with each other and with linear equivalents. q = q + w0t + 0.5at2
w = w0 + at
w2= w02+2a(Dq)

Torque

Relate forces applied at different locations around a pivot point or center of rotation.
St = I*a
t = R*F*sin(q)