
Position, average velocity, time

final velocity, original velocity, acceleration, time

final position, original position, velocity, time, acceleration

final velocity, original velocity, acceleration, displacement

Area under velocitytime graph
Displacement




Parallel component of weight on a ramp


Work
 Assumes F  d


Forceposition diagrams and work
Area under the forceposition curve



Gravitational potential energy
 Independent of path or reference point


Conservation of mechanical energy





Impulsemomentum theorem
or its equivalent formulation

Impulse on a graph
Area under force vs time graph

Kinetic energy conserved
Elastic




Sign convention for torques
 Counterclockwise = (+)
 Clockwise = ()

Condition for rotational equilibrium
= 0 or constant

Law of universal gravitation
 where G = 6.67...

mass of a planet, acceleration due to gravity, radius, G
 (accurate to within 1%)

Orbital speed
or

Orbital radius given desired orbital period and mass of orbited body
 The cube root of the whole thing
 Distance from the center of the body

Orbital centripetal force




Period and frequency \of spring oscillations
and

Maximum velocity of spring







Gauge pressure
Not including atmospheric pressure

Buoyant force
 *density of the fluid and volume submerged

Fraction of object below a fluid's surface



Continuity equation
 Remember for circles A is proport. to r^2

Ideal fluid flow assumptions
 *Incompressible
 *Negligable viscosity
 *Streamine, laminar flow
 *steady flow rate


Torricelli's theorem
, where h is the distance from the surface to the hole

