ap physics b equations

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v=v. + at

change in velocity

x=x.+v.t+(.5at²)

Change in x for two dimentional motion

v²=v.² + 2a(x-x.)

Change in velocity during acclerated motion

uN

Frictional force

v²/r

radial acceleration

Frsinø

Torque

mv

Momentum (p)

Ft

impulse

mvcosø

impulse

(1/2)mv²

Kinetic Energy

mgh

Potential Energy

fdcosø

Work

kx

Force of Spring

(1/2)kx²

Potential energy of spring

2¶√(m/k)

Period of spring

2¶√(l/g)

Period of pendulum

1/f

Period (f=frequency)

Gmm/r²

Force of gravity between two masses

Gmm/r

Potential energy between two masses

E/q

Force on charge by electric field

F/q

Electric field

qV

Potential energy of charge

Q/V

Capacitance (C)

pl/A

Resistance

IR

Potential Difference (V)

I²R

Power

C+C+C+C+C....

Total Capacitance in parallel

(1/C)+(1/C)+(1/C)+...=(1/Ctotal)

Total Capacitance (Series)

R+R+R+R....

Total Resistance (Series)

(1/R)+(1/R)+(1/R)+...=(1/Rtotal)

Total Resistance in Parallel

qvBsinø

Force of B field on charged particle

BI l sinø

Force of B field on wire

BAcosø

Magnetic Flux

Magnetic Flux/t

Electro Magnetic Force

Blv

Electro magnetic Force (l is length of bar, v is velocity of bar)

P.+pgh

Pressure

pVg

Force of Buoyancy

Av=Av

initial Av is equal to final Av (Area and velocity initial is equivelent to final A and v)

P+pgy+½pv²

Constant (Bernoulli's Equation)

∂l.T

Change in Length

F/A

Pressure

PV=nRT

Ideal Gass equation

√(3RT/M)

root mean square velocity

Q+W

Total internal energy

[W/Qhot]

Efficiency

hf-work

Kinetic Energy

h/p

Wavelength

mc²

Change in energy

fý (ý=wavelength)

velocity

c/v

intdex of refraction (n)

nsinø=nsinø

Refraction equation(by seting one side to 90 you can find the critical angle)

n final/n initial

sin of critical angle

(1/di)+(1/do)=1/f

Mirors and lenses

Convex lenses f is

positive

diverging lenses f is

negative

R/2 (R is radius of curvature)

Focal point

W=0 constant volume

isochoric process

W=p(V-V.) constant pressure

isobaric process

W=Q constant temp

Isothermal process

Th-Tc/Th

Thermal efficiency of carnot engine

Kinetic energy is conserved

Elastic collision

Kinetic energy is not conserved

Inelastic collision

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