# AP Physics Equations

## 106 terms

V₀+at

X₀+V₀t+(1/2)at²

V₀²+2aΔx

(V₀²sin2Θ)/g

Δv/t

(V₀+V)/2

ma

(1/2)mv²

mgh

### F static-friction=

(Mew-static)(Force Normal)

### F kinetic-friction=

(Mew-kinetic)(Force Normal)

mgsinΘ

mgcosΘ

v²/r

mv²/r

2πr/Period

1/Frequency

1/Period

rFsinΘ

mV

Δp=mΔV=Ft

FdcosΘ

### P (power)=

W/t=Fd/t=F(V-average)

ΔKE

Va-Vb=Vb'-Va'

### Xcm (to find horizontal position)=

MaXa+MbXb+.../Mtotal

### Ycm (to find vertical position)=

MaYa+MbYb.../Mtotal

kx

(1/2)kx²

Gm₁m₂/r²

### g (acc. due to gravity)=

G(Mplanet)/(Rplanet²)

ΔPEs

### E (total energy of simple harmonic oscillator)=

(1/2)mv²+(1/2)kx²

(1/2)kA²

(1/2)m(Vmax²)

### V (velocity of spring)=

±Vmax√(1-(x²/A²))

2π√(m/k)

(1/2π)√(k/m)

2π√(L/g)

(1/2π)√(g/L)

kq₁q₂/r²

### E (electric field strength)=

F-electrostatic/q

kQ/r²

Δv/d

kQ/r

kq₁q₂/r

qΔV

ΔQ/Δt

V/I

ρL/A=ρL/πr²

VI=I²R=V²/R

Pt

R₁+R₂+R₃+....

I₁=I₂=I₃=...

V₁+V₂+V₃+...

### 1/Req (parallel circuit)=

1/R₁+1/R₂+1/R₃+...

I₁+I₂+I₃+...

V₁=V₂=V₃=...

ϵ-Ir

C₁+C₂+C₃+...

### 1/Ceq (capacitors in series)=

1/C₁+1/C₂+1/C₃+...

CV

(1/2)QV=(1/2)CV²

ϵ₀A/d

### F (force between two parallel wires)=

(u₀/2π)(I₁I₂L₂/d)

qVBsinΘ

BILsinΘ

(u₀/2π)(I/R)

BAcosΘ

### ϵ-avg (induced emf due to a changing flux)=

(-N(Δmagnetic flux))/Δt

AΔB=ΔAB

BLv

P-atm+ρgh

ρVg

A₂v₂

### Bernoulli's Equation

P₁+ρgy₁+(1/2)ρv₁²=P₂+ρgy₂+(1/2)ρv₂²

M/V

F/A

nRT=N(kb)T

(3/2)(kb)T

### Vrms (root mean square speed)=

√(3RT/M)=√(3(kb)T/u)

Q+W

(3/2)nRΔT

-PΔV

W/Qh=(Qh-QL)/Qh

(Th-Tc)/Th

c/v

n₁sinΘ₁=n₂sinΘ₂

1/d₀+1/di=1/f

hi/h₀=-di/d₀

R/2

dsinΘ=mƛ

dsinΘ=(m+(1/2))ƛ

dsinΘ=mƛ

hf=hc/ƛ

h/ƛ

### Photoelectric Effect Equations

hf=KE-max+work function
KE-max=qV₀

### ƛdebroglie (deBroglie wavelength of matter)=

h/p
With p being momentum

mc²

αL₀ΔT

KAΔT/L

W+QL

### Entropy decreases when.....

work is done on the system

### If W is positive....

positive work is done on the gas
the gas is compressed

### If W is negative....

negative work is done on the gas
the gas expands