V_f = V₀+at

Δd= V₀t+1/2at²

V_f²= V₀²+2aΔd

F_f =uF_n

(u= mu, constant)

Power

(2 equations)

P=W/Δt

P=Fv

PE_s=½kx²

(PE_s=KE)

Impulse

(2 equations)

I=Δp

I=FΔt

ε=-N(ΔΦ/Δt)

ε=emf or voltage

N=#of loops

ΔΦ=change in flux

Magnetic Field of a Straight Wire

(Ampere's Law)

F_m=ILBsinθ

(B=magnetic field

F_m=magnetic force

L=length of wire

I=current)

Force on a Charged Particle

(in a magnetic field)

F=qvBsinθ

θ=angle between B and v

U_c=½QV=½CV²

U_c= energy stored

V=voltage across plate

C=capacitance

Q=charge on each plate

R=p(L/A)

p=resistivity of wire

Power in a Circuit

(3 equations)

P=IV

P=I₂R

P=V²/R

C=(ε₀A)/d

ε₀=permittivity of free space

=8.84x10^-12

V=(kQ)/r

k=coulomb's law constant

Electric Force

(on a charge in an Electric field)

F_e=qE

E=electric field value

Electric Potential Energy

(2 equations)

PE_E=qV

PE_E=k(q₁q₂/r)

***F_E=PE_E

E=V/d

d=distance between plates

H=(kAΔt)/L

k=thermal conductivity

Speed of a Gas Molecule

(RMS)

ΔU=Q+W

ΔU= change in internal energy

Q=heat transfered to a system

W=work

Internal Energy of an Ideal Gas

(2 equations)

U=3/2nRT

U=3/2PV

R=constant

n=number of moles

Ideal Gas Law

(2 equations)

PV=nRT

PV=Nk_BT

ΔL=αL₀ΔT

α=coefficient of linear expansion

p=m/V

V=volume

P₁+pgy₁+½pv_1²=P₂+pgy₂+½pv_2²

P=pressure

p=density

y=vertical height

A₁V₁=A₂V₂

A=area

V=volume

P=F/A

P=pressure

F=force

A=area

Buoyant Force

(Archimede's Principle)

F_B=(P_fluid)(V_submerged)g

P_fluid=density of a fluid

P=p_o+pgh

P=pressure

p_o=initial pressure

p=density of fluid

Average Kinetic Energy

for Thermodynamics

Speed of a wave

(2 equations)

v=λ/T

v=fλ

(f=frequency, λ=wavelength)

n=c/v

(c=speed of light)

Snell's Law

(angle of refraction while passing through a boundary)

M=h_i/h_o=-S_i/S_o

(H_i=image height

H_o=object height)

f=R/2

(R=radius of curvature)

dsinθ=mλ

(d=slit separation, θ=angle from central line, m=order of bright spots, λ=wavelength)

x_m=(mλL)/d

(x_m=distance to the mth fringe

m=order of bright fringe, λ=wavelength,

L=distance from slits to screen,

d=slit separation)

Energy of a Photon

(2 equations)

E=hf

E=hc/λ

(h=planck's constant, f=frequency,

c=speed of light)

*(h=6.63x10^-34Js=4.14x10^-15eVs)*

KE_max=hf-Φ

(Φ=work function)