Equations for Mcat

sin(90)

1

sin(60)

0.9 (√3 /2)

sin(30)

0.5

sin(45)

0.707 (√2/2)

cos90

0

sin0

0

cos60

0.5

cos30

0.9 (√3/2)

cos(45)

0.707 (√2/2)

cos(0)

1

Newtons second law

F=ma

Newtons third law

F_{a on b} = -F_{b on a}

Gravitational force between two objects

Kinetic friction

Static Friction

Hookes law

F = -kΔx

Frequency threshold for human hearing

20kHz

distance with contsnat velocity

acceleration from velocities and time

final velocity from initial, acceleration and displacement

final velocity from vi and a and t

displacement from vi and a and t

Vx in projectile motion

Vcosθ

Vy in projectile motion

Vsinθ

acceleration inclined plane

gsinθ

normal force inclined plane

mgcosθ

gravity down plane

mgsinθ

frcition inclined plane

μmgcosθ

Energy of a wave

and h = 6.626×10^-34

velocity of a wave

Rydberg equation

quantum numbers

alpha decay

Beta- decay

Beta+ decay

electron capture

period

Speed of a sound wave related to stiffness and density

Speed of sound in air

343m/s

Harmonics with two open ends or two closed ends

n = any number 1 - x

Harmonics with one open and one closed end

n is any positive odd integer (second is 3 and so on)

Sound intensity

Dopler equation

Reflection equation

index of refraction

Snell’s law

to derive angle of refraction or the speed

diffraction equation

lensmakers equation

magnification

Power of a lens/mirror

mass percent

lattice energy

Formal charge

Charge of an electron/proton + absolute charge

Electric field

Gravitational constant

G = 6.67 X10^-7

Columbs law and electric force

Electric potential

Electric potential energy (work)

Resistors in series and parallel

Resistance

Current

ohm’s law

Power in circuits

Capacitance

Electric potentially in a capacitor

Capacitors in circuits

lorentz force

Magnetic force on a wire

Right hand rule

Strong acids

Ka and Pka

pH pOH and H+ and Oh- concentrations

Strong bases

kb and pkb

kw

Henderson Hasselbach

use pka of acid to calculate pkb of it conjugate base and vice versa (same for pOH but with Pkb and BH+ /B)

Titration equation

Equilibrium constant

reaction quotient

rate law

Arrhenius equation

Zeroth order

First order

second order

Internal energy of the system

Entropy

Gibbs free energy

Enthalpy (BDE)

Gibbs free energy with equillibrium constant

Delta G nott

Enthalpy withe heats of formation

products minus reactants

mechanical work

Power

kinetic energy

Gravitational potential energy

Elastic potential energy

Law of conservation of energy

Projectile motion and energy

Work energy and theorem

external work = change in KE + change in Ug + change in Us