MCAT Physics Flashcards
kinematics equations
V = at + Vo
X = 1/2 a t^2 + Vo t + Xo
∆X=1/2 (Vo+V)t
V^2 = 2a∆X + Vo^2
force of gravity
F = G (m1m2)/r^2
angular symbols
∅ = x (radians or degrees
w = v
α = accelaration
T = torch = force
I = moment of inertia = center of mass
L = angular momentum = momentum
linear to angular equations
v = rw
a = rα
a = v^2/r
KE = 1/2mv^2 = Iw^2
s=r∅
torch
T = F*r sin∅
T = rma = rm(r∝)=r^2 m∝=αI
angular momentum
(L)=(mv)r=Iw I=mr^2
degrees to radians
degrees(π) = radians(180)
Spring
F = k * 1/2x
W = k * 1/2x^2
compression 3 - 8 inches : W = k* 1/2 (8^2 - 3^2)
center of mass
((Σmx/Σm))/Σx=center mass ratio
Multiply by the length of the object to find the location of the center of mass
conservation of momentum
mv=mv
fluids
p = m/V
buoyant F = pVg (pV = m)
weight of liquid displaced P = Po + pgh
F1/A1 = F2/A2
Bernoulli: P1 + pgh + 1/2pv^2 = P2 + pgh + 1/2pv^2
∆V/∆t = π/8 (r^4/n) (p1-p2)/L
n = viscosity P = pressure surface tension Y = F/L
speed of a wave
v = λf
speed of wave on string=(Ft/u)^(-2)
Ft = tension force u = mass/length
Speed of sound faster when molecules are closer together Ultrasound = 20,000Hz + infrasound = 20Hz -
de/constructive interference
constructive = phase of the wave lines up and increases in amplitude destructive = waves are out of phase and cancel each other out
power sound
P = I(4πr^2)
Intensity by the surface area of the sphere with the radius equal to the distance
decibels
dB = (10dB)log I/Io
increasing intensity by factor of 10 doubles the loudness Io=1x10^(-12) W/m^2
doppler effect
change in frequency when source or observer are moving towards/away from each other
f’ = f (v+/-vo)/(v+/-vs)
moving towards each other = increase frequency moving away from each other = decreased frequency
harmonic motion
F=-kx
motion of spring: x = A x sin(2πt/T) = A x sin(2πft) = A x sin(wt)
w= angular frequency = (k/m)^(-2) energy:
E = 1/2mv^2 = 1/2kA^2 (A = amplitude)
energy equations
Total E = KE + PE
KE = 1/2mv^2 = 1/2kA^2 (harmonic A = amplitude)
KE = Iw^2 (angular motion)
PE = mgh W = k * 1/2x^2 (spring)
induction
inducing a charge in a object without touching it
electric field & voltage equations
F = 1/(4πεo ) x (q1 q2)/r^2
E = F/q = (1/(4πε0 )) x q/r^2
V = (1/(4πε0 ))*q/r Va-Vb = Wab/qo
electric field vs voltage
Vb-Va = Wab/qo E = delta(V)/delta(s)
electric field = amount of force a particle would experience per unit charge voltage = when force is not constant, amount of work to move 1 unit positive charge between A and B.
flux
ΦE=EA charge per m^2 (charge through an area)
q = ε0EA A = (4πr^2) sphere
current
I = Q/t = ∆q/∆t = nA(eV)
n= density charge
Current density j = i/A = nA(ev)
circuits equations
V=IR P = VI = V^2/R
P = I^2 R(heat loss)
R = p(L/A) p = resistivity AC
Power P = (Vmax Imax)/(2)^.5 C = Q/V = (ε0 A)/d
Resistance
R = p(L/A)
p = resistivity
V=IR P = VI = V^2/R P = I^2 R(heat loss)