Physics 1&2 Formula Review

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

rad/s²

Force of friction on a θ° incline

mgcosθµ

units for angular velocity

rad/s

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

radians

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