# Physics 1&2 Formula Review

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88 Terms
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Spring Potential Energy
Us=½kx²
Mass-Energy equivalence
E=mc²
Hooke's Law
Fs=-kx
Weight
W=mg
Period of a spring-mass
T=2π√(m/k)
Units for spring constant
N/m
Angular equivalent for impulse
∆L=τt=Iω-Iω₀
Units for impulse
Ns or kgm/s
3rd angular kinematic
ω²=ω₀²+2α∆θ
angular momentum
L=Iω
Bernoulli's Principle
P₁+ρVg+½ρv²=P₂+ρVg+½ρv² (v is velocity not volume)
Law of Continuity (aka Volume Flow Rate)
AV=I (area*velocity)
Units for pressure
Pascals
Three formulas for power
P=w/t=Fv=mg∆x/t
Gauge Pressure
P=ρgh
Frequency of a pendulum
F=1/(2π√(l/g))
x-component of weight on a θ° inclne
Wx=mgsinθ
Absolute pressure
P=P₀+ρgh
Formula definition for work
W=Fd
Net torque
∑T=Iα
Frictional force
Fₙµ
Buoyant Force (aka Archimede's Principle)
Fb=ρVg (V is volume)
1st angular kinematic
ω=ω₀+αt
units for speed
m/s
Gravitational potential energy
Ug=mg∆y
density of water
1000 kg/m³
linear momentum
p=mv
period of a pendulum
T=2π√(l/g)
units for displacement
meters
formula to convert between linear displacement and angular displacement
s=rθ
Heat created by friction as an object slides along a θ° incline
Qinc=mgcosθµd
Pascal's Law
F=F
Moment of inertia of a point mass M a distance r from the axis of rotation
I=mr²
Formula relating the height of a pendulum to the angle θ as measured to the vertical
∆y=l-lcosθ
formula to convert between linear acceleration and angular acceleration
a=rα
constant velocity
v=∆x/t
units for momentum
kgm/s
formula to convert between linear velocity and angular velocity
v=rω
units for velocity
m/s
units for distance
meters
units for torque
mN
work-energy theorem
∑W=∆K so... ∑W=½mv²-½mv₀²
frequency of a spring-mass
F=1/(2π√(m/k))
Units for energy
Joules
Pressure
P=F/A
Units for frequency
Hz
second kinematic
∆x=V₀t+½at²
Forgotten power formula
P=Fv
Units for rotational kinetic energy
Joules
speed of light (c)
3x10⁸ m/s
centripetal acceleration
Ac=v²/r
Newton's second law
∑F=ma
atmospheric pressure
101000 Pa or 1atm
Work done by friction
Wf=Ffd (Ff is force of friction)
Density
ρ=m/v
units for angular acceleration
Force of friction on a θ° incline
mgcosθµ
units for angular velocity
Acceleration due to gravity a distance r from a mass M
g=Gm/r²
Formula definition of power
P=w/t
units for density
kg/m³
units for power
Watt
Units for force
Newtons
units for volume flow rate
m³/s
2nd angular kinematic
∆θ=ω₀t+½αt²
Angular equivalent of work-energy theorem
∑W=∆K so... ∑τθ=½Iω²-½Iω₀²
first kinematic
V=V₀+at
third kinematic
V²=V₀²+2a∆y
units for angular displacement
translational kinetic energy
K=½mv²
y-component of wright on a θ° incline
Wy=mgcosθ
units for acceleration
m/s²
rotational kinetic energy
Krot=½Iω²
units for angular momentum
kgm²/s
units for work
Joules
average velocity
v=∆x/t
units for period
seconds
units for time
seconds
torque
rxF
acceleration due to gravity on earth (g)
9.8 m/s²
Heat created by friction as an object slides across a level surface (Qlev)
Qlev=mgµd
Two formulas for impulse
J=Ft=mv-mv₀
Newton's Law of Universal Gravitation
Fg=G(m₁m₂/r²)
Universal Gravitational Constant
6.67x10⁻¹¹
Centripetal force on an object of mass m travelling at a constant speed a distance r from the center of the circle
F=m(v²/r)
Formula for energy of a spring-mass when sliding at the equilibrium point
K=½mv²
Formula for energy of a spring-mass when the mass is at maximum displacement
Us=½kA²
expression for the total energy of a spring mass when it is half-way between max displacement and equilibrium
E=½mv²+½kx²