Physics Equations

Question 1

Heat transferred

Answer 1

q = m c ΔT

Question 2

Thermal expansion

Answer 2

ΔL = α × L × ΔT

β = 3α

Question 3

Volumetric expansion

Answer 3

ΔV=β×V×ΔT

β = 3α

Question 4

First law of thermodynamics

Answer 4

ΔU = Q + W

Question 5

Entropy

Answer 5

ΔS = Q_rev / T

Question 6

Definition of velocity:

Answer 6

v = Δx / Δt

x = displacement

Question 7

Definition of acceleration

Answer 7

a = Δv / Δt

Question 8

Kinematic under constant acceleration

Answer 8

v = v_o + at

Δx = v_ot + at²/2

v² = v_o² + 2aΔx

Question 9

Projectile motion

Answer 9

v_y = v_yo − a_y t

Δy = v_yo t − (½)at²

v_y² = v_yo² + 2a_yΔy

Question 10

The time for one revolution around the circle with velocity (Period of circular motion)

Answer 10

T = 2 π (R / v_T)

Question 11

Centripetal acceleration

Answer 11

a_c = v²/r = rω²

Question 12

Torque equation and units

Answer 12

t = r F sinθ

Units: N*m

Question 13

Work-Kinetic Energy theorem

Answer 13

W_net = ΔKE = K_f - K_i

Question 14

Work equation and units

Answer 14

W = F × d × cosθ

unit = 1 Joule

Question 15

Power equation and units

Answer 15

P = ΔW / Δt

Unit = 1 watt = J/s

Question 16

Buoyant force

Answer 16

F_B = m_displaced × g = ρ_fluid × V_object × g

Question 17

Hydrostatic pressure

Answer 17

P = ρ × g × h

Question 18

Atmospheric pressure

atm = Pa

Answer 18

1 atm = 101,000 Pa

Question 19

Pascal’s law

Answer 19

F₁/A₁ = F₂/A₂ = constant

Question 20

Bernoulli’s equation

Answer 20

P + (1/2) ρ v² + ρ g h = constant

Question 21

Coulomb’s Law

Answer 21

F=− k q₁ q₂ / r²

Question 22

Electric field

Answer 22

E = F / q = kQ/r²

units = N/C

Question 23

Electric potential

Answer 23

V = U/q = kQ/r

Unit: 1 volt = 1 J/C

Question 24

Electric Potential Energy

Answer 24

U = kQq / r = Work

Unit = Joule

Question 25

Electrical Current

Answer 25

I = ΔQ / Δt Unit: 1 Amp: C/s

Question 26

Resistivity

Answer 26

R = (ρ \* L) / A p = resistivity L = length A = cross sectional area Unit resistance: Ohm Unit resistivity: Ohm-meter

Question 27

Ohm’s law

Answer 27

V = I R

Question 28

Capacitance

Answer 28

C = Q / V Unit = farad or C/V

Question 29

Capacitance based on parallel plate geometry

Answer 29

C= A k ϵ₀ / d ϵ₀ = 8.85 x 10^-12 F/m

Question 30

Potential Energy of a Capacitor

Answer 30

U = ½ C(ΔV)²

Question 31

Magnetic force on a moving point charge

Answer 31

F = q × v × B × sinθ

Question 32

Magnetic force on a current carrying wire

Answer 32

F = I × L × B × sinθ B = Tesla = N\*s / m\*C

Question 33

Magnification

Answer 33

M = h image / h object = - d image / d object

Question 34

Thin lens equation

Answer 34

1/f = 1/p + 1/q

Question 35

Photon energy

Answer 35

E = h × f

Question 36

Double slit equation (applied to diffraction gratings)

Answer 36

d × sinθ = m × λ

Question 37

Single slit equation

Answer 37

a × sinθ = m × λ

Question 38

Doppler equation

Answer 38

f′ = (c+ν₀)/(c−ν_s) × f

Question 39

Velocity of sound

Answer 39

v = f × λ

Question 40

Equation to find dB from intensity and I_o

Answer 40

β = 10 log ( I / I₀ ) I₀ = 10⁻¹² W/m2

Question 41

Doppler effect

Answer 41

f′= (ν+ν₀) / (ν−ν_s) × f

Question 42

Equation for frequency and wavelength in strings and open tubes

Answer 42

**“ I envy (nv) your tool (2L)”** String * f = (nv) / 2L * λ = 2L / n * n = harmonic = antinodes (crests) Open pipe * f = (nv) / 2L * λ = 2L / n * n = harmonic = nodes (center)

Question 43

Equation for wavelength and frequency in tubes with one open one closed end

Answer 43

λ = 4 L / n f = n v / 4 L n = half wavelengths

Question 44

Absorbed or emitted light

Answer 44

1 / λ = R (1/n_f² − 1/n_i²) E = h ν = h (c/ λ)

Question 45

Alpha decay

Answer 45

_Z^AX → _Z-4^A-4X + ₂⁴α

Question 46

Beta-minus decay

Answer 46

_Z^AX → _Z+1^AY + _-1⁰β

Question 47

Beta-plus decay

Answer 47

_Z^AX→_Z−1^AY+₁⁰β

Question 48

Units for Pressure

Answer 48

Pascal N/m² m^-1 kg s^-2

Question 49

Electric Charge

Answer 49

Coulomb (C) units: A\*s

Question 50

Electric Potential

Answer 50

Volt (V) W/A m² kg s^-3 A^-1

Question 51

Capacitance units

Answer 51

Farad (F) C/V m^-2 kg^-1 s⁴ A²

Question 52

Electric Resistance

Answer 52

Ohm Volts/Amps m² kg s^-3 A^-2

Question 53

Magnetic flux density

Answer 53

Tesla (T) Wb/m² kg s^-2 a^-1

Question 54

Elastic Potential Energy

Answer 54

U = ½ k x² Joule

Question 55

Hooke's Law

Answer 55

F = -k x Unit: Newton

Question 56

Electric field in a capacitor

Answer 56

E = V / d

Question 57

Angular frequency equation

Answer 57

w = 2 pie f = 2pie /T

Question 58

Equation for Gibbs with Keq

Answer 58

G = -2.3RT log(Keq) R= 8.3 J/k T= x kelvins

Question 59

Equation for Gibbs with Keq

Answer 59

G = -2.3RT log(Keq) R= 8.3 J/k T= x kelvins