OAT Bootcamp Physics Formulas

Average velocity

(distance/ time)

displacement kinematics

d= v1t + (1/2)at^2

Final velocity kinematics

v2= v1 + at

Final velocity squared kinematics

v2^2= v1^2 + 2ad

average acceleration

(v2- v1) / (t)

net force

F= ma

weight

W= mg

normal force (Fn)

W*cos(theta)

Kinetic/ Static friction force

(μK or μS)(Fn)

torque

rFsin(theta)

Gravitational force two bodies (F)

(G(m1)(m2)) / d^2

G=6.67×10^-11

Gravitational force single body (g)

(Gm) / r^2

G=6.67×10^-11

escape velocity (vesc)

sqrt(2Gm / r). PLANETS

G=6.67×10^-11

orbital velocity (vorbit)

sqrt(Gm / r). PLANETS

kinetic energy

KE= (1/2) mv^2

potential energy

PE= mgh

Total mechanical energy

Emechanical = KE + PE

work

W= F*dcos(theta)

work

W= change in kinetic energy

power

P= (W/t)

momentum

p= mv

inelastic collisions

m1v1 + m2v2 = mv3

elastic collision

m1v1 (initial) + m2v2 (initial) = m1v1 (final) + m2v2 (final)

index of refraction

n= c/v c= 3.00*10^8 m/s

Snells law

n1sinθ1 = n2sinθ2

apparent depth (submerged)

D-apparent = D-actual (n2 / n1)

n1= object

n2= usually air

critical angle

sin(theta)c = (n2/n1)

thin lens equation

1/ do + 1/di = 1/f

CONVERGING

convex lens, concave mirror

RIO= real, inverted, opposite side

DIVERGING

concave lens, convex mirror

SUV= same side, upright, virtual

magnification

hi/ho = -di/do

power (magnification) in diopters

1/f

f= focal length

image height

ho/hi = do/di

wave velocity

v=fλ

period (wave)

T= 1/f

wave sound intensity

I= (P/A) or (p/ 4pix^2)

velocity wave on string

v= sqrt(T/ μ)

μ=mass of string/ length of string

Coulomb's Law

F= Ke(q1q2) / r^2

Ke= 9×10^9

electric field

E=F/q

units N/C or volts per meter

electric fields (point charge)

E= kq / x^2

electric potential

V= Ex

Electrical potential energy

U= Kq1q2/r

K=9×10^9

voltage

V= IR

I= current

R= resistance

power circuits

P= IV = I^2R = V^2 / R

current

I= q/t

q= charge

resistance of wire

R= pL/ A

A= area of wire

L= length

p= resistivity constant (unitless)

total capacitance (SERIES)

1/C1 + 1/C2 ......

total resistance (SERIES)

R1 + R2 ........

total capacitance (PARALLEL)

C1 + C2 ........

total resistance (PARALLEL)

1/R1 + 1/R2 .....

charge of a capacitor

Q= CV

energy of a capacitor

E= (1/2) CV^2

density

p= m/v

pressure

P= F/A

pressure for surface

P= Po + pgh

Pascal's principle hydraulics

F1/ A1 = F2/ A2

continuity equation

p1A1v1 = p2A2v2

A1v1 = A2v2

buoyant force

Fb= mg = pVg

centripetal velocity

Vc= (2pi*r / T)

centripetal acceleration

ac= v^2 / r

centripetal force

Fc= mv^2 /r

change in internal energy

deltaU= Q + W

BY= negative

ON= positive

pressure volume work

W= -P delta V

BY= negative

ON= positvie

heat energy gained/lost

q=mC(deltaT)

C= specific heat

energy efficiency

percent efficiency= 100((Th - Tc) / (Th))

units: K

ideal gas equation 1

PV= nRT

R= 0.0821 Latm/ molK

ideal gas equation 2

PV= nRT

R= 8.31 J/ mol*K

force spring

F= kx

work spring

W= 1/2 kx^2

potential energy spring

PE= 1/2 kx^2

period spring

T= 2pi sqrt(m/k)

period for pendulum

T= 2pi sqrt (length, gravity)

angular frequency

w= 2pi / T

angular frequency with a spring

w = sqrt (k/m)