
MKS System
Meter, Kilogram, Seconds

Kinematics
The study of the motion of an object without regard to the causes of the motion.

Average Velocity (v) equals
 Change in displacement divided by change in time
 x/t




Average x =
Vi(t) + (1/2)at^{2}^{}

V_{f}^{2} =
V_{i}^{2} + 2ax



Gravitational acceleration
g = (average v)/t



Law of inertia
 If there is no net force acting on an object it will remain at rest or in uniform motion.
 If an object is in constant speed in a straight line its net force is 0.

Law of Acceleration
 If there is a net force acting on an object the object will accelerate. The acceleration is directly proportional to the net force & in the same direction.
 Acceleration is inversely related to the mass.

Law of Interaction
 For each action there is an equal, and opposite, reaction.
 Forces always occur in pairs.

Weight
 F_{w}=mg
 Downwards, toward center of the Earth

Normal Force/Perpendicular Force
 Contact force with surface
 Perpendicular with the surface
 F_{n} = mgCos

Frictional Force
 How hard the surfaces are pressed together.
 f = mN
 m = F/N


Potential
Ability to do work. Stored energy because of an objects position or condition.

Position
gravitational potential energy

Condition
compressed spring

Gravitational Potential Energy

Elastic Potential Energy
 PE = (1/2)Kx^{2}
 K = N/m^{ }

Conservation of mechanical energy
v^{2 }= 2gh



Kinetic Energy
KE = (1/2)mv^{2}


Elastic Collision
 Sum of p_{i} = Sum of p_{f}
 Sum of (1/2)mv^{2 }initial = Sum of (1/2)mv^{2}final_{ }

Conservation of momentum
Ft = average p

Centripetal Acceleration
a_{i} = v^{2}/r

Centripetal Force
F = (mv^{2})/r



Change in x =
(1/2)(v_{i} + v_{f}) average t

Mechanical Energy
ME = KE + (sum of)PE


Change in momentum
delta p = F(delta t)

w_{avg =}
 average angular speed
 angular displacement/time interval



F_{g} =
 G(m_{1}m_{2}/r^{2})
 G=6.673 x 10^{11}

