Equations not given on the test and concepts to keep in mind.
MOI of sphere
2/5mr²
MOI of disk, cylinder
1/2mr²
MOI of particle
mr²
MOI of sphere
2/5mr²
MOI of end of stick
1/3mL²
MOI of middle of stick
1/12mL²
Kinematics #1
vf = vi + at
Kinematics #2
vf² = vi² + 2ad
Kinematics #3
d = vit + 1/2at²
Impulse
Force x time = change in momentum
Work
Work = change in KE
Escape velocity
sqrt2 times orbital velocity —> (2GM/2)^1/2
Orbital velocity
(2GM/r)^1/2
Power
Power = work/time = force x velocity
Diameter
2 x pi x r
Kepler’s Third Law
T² = R³ (R in AU = 1.5× 10^8 km)
Newton’s 1st Law
Inertia
Newton’s 2nd Law
fnet = ma
Newton’s 3rd Law
Every action has an equal in magnitude but opposite in direction reaction
—> Normal force of ground on person and normal force of person on ground
—> Gravitational pull of earth on person and gravitational pull of person on earth
Torque Units
Nm
Moment of Inertia Units
kgm²
Angular Velocity/Acceleration Units
rad/s/s
Frequency
Reciprocal of Period