Mcat Physical Section Equations

Front 1

Average Acceleration

Back 1

ΔV / Δt

Front 2

Final Velocity

Back 2

Vi + at

Front 3

Displacement

Back 3

ΔX = Vi*t + 1/2(at^2)

Front 4

Final Velocity

Back 4

Vf^2 = Vi^2 + 2aΔX

Front 5

Average Velocity

Back 5

1/2 (Vi + Vf)

Front 6

Gravitational Force

Back 6

F = (G*m1*m2)/r^2

Front 7

Torque

Back 7

τ = rFsinθ

Front 8

Kinetic or Static Friction

Back 8

F(f) ≤ μ * F cosθ

Front 9

Centripital Acceleration

Back 9

v^2 / r

Front 10

Centripital Force

Back 10

Mass * Acceleration
or
mv^2 / r

Front 11

Work

Back 11

F d cosθ

Front 12

Power

Back 12

Work/time = F v cosθ

Front 13

Kinetic Nrg

Back 13

1/2 (mass)(velocity)^2

Front 14

Gravitational potential Nrg

Back 14

U = mass * gravity * height = mgh

Front 15

momentum

Back 15

p = mass * velocity

Front 16

Impulse

Back 16

Δp = Force * time
or
m*Vf - m*Vi

Front 17

Celsius

Back 17

C = K -273

Front 18

Heat Gained (Q)

Back 18

Q = m c Δt
only when no phase change occurring

Front 19

1st Law of Thermodynamics

Back 19

ΔE = Q + W

(Q=heat nrg and W=work)

Front 20

2nd Law of Thermodynamics

Back 20

ΔS of closed system will increase or remain unchanged

Front 21

Density

Back 21

ρ = mass / volume

Front 22

Pressure

Back 22

P = Force / Area

Front 23

Absolute Pressure

Back 23

Pabs= Patm + ρgh

Front 24

Two Pistons

Back 24

F1/A1 = F2/A2

Front 25

Buoyant Force

Back 25

FB= ρ g V (where V is the volume of the object and ρ is the density of the liquid)

Front 26

Velocity in different areas of a pipe (volume flow rate)

Back 26

A1V1=A2V2

Front 27

Coulomb's Law (Force b/n charges)

Back 27

F = (k*q1*q2) / r^2

Front 28

Electric Field

Back 28

E = k*q / r^2

Front 29

Force of E Field on a charge

Back 29

F = q * E

Front 30

Electric potential

Back 30

V = kq / r

Front 31

Electric Potential Nrg

Back 31

U = qV

Front 32

Force of B Field on charge

Back 32

q v B sinθ

Front 33

Current

Back 33

I = Δq / Δt

Front 34

Force of Wire with current

Back 34

F = I L B sinθ

(current*length*Bfield)

Front 35

B field created by long straight wire

Back 35

B = (μo*I) / (2πr)

Front 36

B field created by loop wire

Back 36

B = (μo * I) / (2r)

Front 37

Voltage

Back 37

V = IR

Front 38

Power in circuits

Back 38

P = IV

Front 39

Resistors in series

Back 39

Rs = R1 + R2 ...

Front 40

Resistors in Parallel

Back 40

1 / Rp = 1/R1 + 1/R2 ...

Front 41

Capacitance

Back 41

C = Q / V

Front 42

E field b/n capacitor plates

Back 42

E = V / d

Front 43

Capacitors in series

Back 43

1 / Cs = 1/C1 + 1/C2 ...

Front 44

Capacitors in Parallel

Back 44

Cp = C1 + C2 ...

Front 45

Irms

Back 45

Imax / sqroot2

Front 46

Vrms

Back 46

Vmax / sqroot2

Front 47

Imax

Back 47

Irms * sqroot2

Front 48

Vmax

Back 48

Vrms * sqroot2

Front 49

Hookes Law (Force of spring)

Back 49

F = -k x

Front 50

angular freq of spring

Back 50

ω = sq root (k/m)

Front 51

angular freq of pendulum

Back 51

ω = sq root (g/L)

Front 52

Frequency

Back 52

F = 1 / T

T=period

Front 53

Period of Spring

Back 53

T = 2π sqroot(m/k)

Front 54

Period of Pendulum

Back 54

T = 2π sqroot (L/g)

Front 55

Velocity of wave

Back 55

V = fλ

Front 56

Speed of Light

Back 56

c = 3x10^8

Front 57

Intensity

Back 57

I = Power / area

Front 58

Focal length

Back 58

F = radius curve / 2

Front 59

Magnification

Back 59

-image distance / object distance
or
-i / o

Front 60

Index of Refraction

Back 60

n = c / v

Front 61

Snell's law of refraction

Back 61

n1 sinθ1 = n2 sinθ2

Front 62

Lens Power

Back 62

P = 1 / f

Front 63

Photon Nrg

Back 63

E = h f
or
E = hc/λ

h= 6.6x10^-34 J*s
h= 4x10^-15 eV

Front 64

Binding Nrg

Back 64

E = Δm c^2

Front 65

Alpha Particle decay

Back 65

-4
-2

Front 66

-Beta decay

Back 66

+0
-1

Front 67

+Beta decay (positron)

Back 67

-0
+1

Front 68

Gamma decay

Back 68

nothing!!

Front 69

1/2 life formula

Back 69

Nf = Ni * e^(λt)

Front 70

Work done by gas expansion

Back 70

W = P*ΔV

Front 71

Capacitance definition

Back 71

(ɛ*A)/d

A - area
d - distance b/n plates

Front 72

Resistivity definition

Back 72

R A / length

Front 73

Thin lens

Back 73

1/f = 1/do + 1/di

Front 74

Bernoulli's Equation

Back 74

constant = P + 1/2 ρv^2 + ρgh

Front 75

Peak height

Back 75

vi sin θ = sqrt (2gh)

Front 76

Elastic potential energy

Back 76

U = 1/2 k∆x^2

k = spring constant

Front 77

Specific gravity

Back 77

ρ substance / ρ water

ρ water = 1000 kg/m^3

Front 78

Energy stored by capacitor

Back 78

U = 1/2 Q V = 1/2 C V^2

Front 79

cos 0

Back 79

1

Front 80

sin 0

Back 80

0

Front 81

Graham's Law

Back 81

r1 / r2 = srqt (molar mass 2 / molar mass 1)

Front 82

osmotic pressure

Back 82

π = i M R T

Front 83

wavelength of red light

Back 83

700 nm

Front 84

amphoteric

Back 84

both acid and base

Front 85

Range of projectile (distance)

Back 85

(v^2 sin2θ) / g

Front 86

solubility rules

Back 86

1. Group I and NH4+ salts are soluble
2. NO3-, ClO4-, COO- salts are soluble
3. Ag, Pb, Mg salts are NOT soluble

Front 87

Sound decibels

Back 87

Beta = 10 log (I/Io)

Front 88

beat frequency

Back 88

|f1 - f2|

Front 89

Heat of formation

Back 89

BDE(broken) - BDE(formed)

Front 90

elastic collision

Back 90

- don't stick
- KE & momentum conserved

Front 91

Inelastic collision

Back 91

- stick
- momentum conserved
- KE is NOT conserved (usu turns to heat or sound E)

Front 92

work-energy theorem

Back 92

W = ∆KE + ∆PE + Ei (internal energy due to friction)

Front 93

conduction

Back 93

heat transfer by direct contact

Front 94

convection

Back 94

heat transfer by flowing current

Front 95

radiation

Back 95

heat transfer by electromagnetic radiation (usu IR)

Front 96

conservative forces

Back 96

- Gravitational force
- Elastic Spring force
- Electric Force
G ES EF