MCAT PHYSICS/CHEM

gravity (g)

10 m/s²

density of water (p_water)

1 g/cm³

coulomb constant (k)

9 × 10^9 N*m²/C²

speed of light (c )

3.0 × 10^8 m/s

planks constant (h)

6.63×10^-34 J*s

sin(0) =

0

sin(90) =

1

sin(180) =

0

cos(0) =

1

cos(90) =

0

cos(180) =

-1

R_x =

A_x + B_x

R_y =

A_y + B_y

|R| =

sqrt((R_x)² + (R_y)²)

1st law of thermodynamics

ΔU = Q - W

PV Work (constant P)

W = PΔV

Linear Expansion

ΔL = α_L*LΔt

Volume expansion

ΔV = α_v*LΔt

displacement

Δx = x_f - x_i

average velocity

v_avg = Δx/Δt

average acceleration

a_avg = Δv/Δt

density

p = m/v

specific gravity

SG = p/p_water

pressure

P = F/A

hydrostatic pressure

P = pgh

absolute pressure

P_abe = P_atm + pgh

percent submerged

% submerged = (p_object/p_liquid) * 100

buoyant force

F_b = pVg

pacal’s law (force)

(F_1/A_1) = (F_2/A_2)

Pascals law (work)

W = F_1d_1 = F_2d_2

Poiseuille’s law

Q = (πr²ΔP)/8ηL

Continuity Equation

A_1v_1 = A_2v_2

Bernoulli”s equation

P_1 + ½ p(v_1)² + pgh_1 = P_2 + ½ p(v_2)² + pgh_2

Newtons 1st law

F_net = 0

Newtons 2nd law

F_net =ma

Newtons 3rd law

F_AB = -F_AB

maximum static friction

F_s,max = μ_s*N

kinetic friction

F_k = μ_k*N

hooke’s law

F = -kx

torque

T = Frsin(θ)

coulomb’s law

F = k(q_1q_2/r²)

electric field

E = (F/q) = k(Q/r²)

electric potential energy

U = k(q_1q_2/r)

electric potential (voltage)

V = U/q = k(Q/r)

magnetic field (long straight wire)

B = (μ_0*I)/2πr

magnetic force on a charge

F = qvBsin(θ)

magnetic force on a wire

F = ILBsin(θ)

work by a constant force

W = Fdcos(θ)

Power

P = W/Δt

kinetic energy

KE = ½ mv²

kinetic energy (rms speed)

KE = ½ mv²_rms

gravitational potential energy

PE = mgh

elastic potential energy

PE = ½ kx²

conservation of mechanical energy

KE_i + PE_i = KE_f + PE_f

work-energy theorem

W_net = ΔKE

mechanical advantage

MA = F_out/F_in

efficiency

efficiency = (energy out/energy in) *100%

frequency

f = 1/T

wave speed

v=fλ

sound inensity

I = P/A

decibel level

β = 10log_10(I/I_0)

doppler shift (classical)

f^r = f((v +- v_o)/v+- v_s)

standing waves (string/open pipe)

λ_n=2L/n

standing waves (closed pipe)

λ_n=4L/n_odd

photon energy

E = hf = hc/λ

photoelectric effect

KE_max = E_incident - E_work

index of refraction

n = c/v

snell’s law

n_1sin(θ_1) = n_2sin(θ_2)

thin lens equation

1/f = 1/o + 1/i

magnification

m = -(i/o)

total magnification

M_total = M_1M_2

lens power

P = 1/f

mass-energy equivalence

E=mc²

alpha decay

(A/Z)X → (A-4/Z-2)Y + (4/2)α

beta-minus decay

(A/Z)X → (A/Z+1)Y+(0/-1)β^-

beta-plus decay

(A/Z)X → (A/Z-1)Y+(0/+1)β^+

gamma decay

(A/Z)X^* → (A/Z)X+γ

electron capture

(A/Z)X + (0/-1)e^- → (A/Z-1)Y

half-life

t_(1/2) = 0.693/λ

resistance of a wire

R = p(L/A)

conductivity

σ = 1/p

current

I = ΔQ/Δt

Ohm’s law

V = IR

electric power

P = IV = I²R = V²/R

capacitance

C = Q/V

parallel plate capacitor

C=ε_0(A/d)

electrical field between plates

E = V/d

energy stored in capacitor

U = ½ QV = ½ CV² = Q²/2C

Newton (N)

(kg*m)/s²

Joule (J)

kg*m²/s²

Nm

CV

Ws

Watt (W)

J/s

VA

kg*m²/s³

coulomb (C)

As

FV

Farad (F)

C/V

s/Ω

A²*s^4/kg*m²

siemens (S)

1/Ω

A/V

A² * s³/kgm²

Ohm (Ω)

1/S

V/A

kgm²/A² * s³

Volt (V)

W/A

J/C

kgm²/A*s³

Hertz (Hz)

1/s

Tesla (T)

Vs/m²

Wb/m²

N/Am

kg/A*s²

Pascal (Pa)

N/m²

kg/m*s²

Avogadro’s number(N_A)

6.022 × 10²3 mol^-1