SI UNITS

Weight - N

Force – N

Period – s

Frequency – Hz

Energy – J

Work – J

Spring constant – N/m

Power – W

Torque – m·N

Revolution – Rad

Inertia – kg·m²

Momentum – kg·m/s or N·s

Impulse – kg·m/s or N·s

Density – kg/m³

Pressure – N/m² or Pa

Intensity – w/m²

Intensity level – β

Wavelength - m

FORMULAS

Kinematics

v = d/t

a = Δv/Δtv/Δv/Δtt

-constant a

vf = vi + at

xf = xi + vit + ½at²

xf = xi + ½(vi + vf)t

vf² = vi² + 2a(xf-xi)

vave = (vf + vi)/2

R = vi²sin(2θ)/g)/g

Forces

Fnet = ma

FG = -mg

FGx = mgsinθ)/g

FGy = -mgcosθ)/g

FN = mg

Ffr = μkFN

Gravitation

Fobj1,obj2 = Gm1 m2/R²

G = 6.67  10-11N·m²/kg²

Circular Motion

ac = v²/R

Fnetc = mv²/R

T = 1/f

f = tper cycle

v = 2πR/T = 2πRR/T = 2πR/T = 2πRRf

Energy

KE = ½mv²

PES = 1/2kx²

PEG = mgh

Powerave = W/t = Fd/t = Fvave

E = KE + PE

WNC = KEf – KEi

KEi + PEi = KEf + PEf

Liner Momentum

p = mv

Impulse = FnetΔv/Δtt = maΔv/Δtt = Δv/Δtp

m1iv1i + m2iv2i = m1fv1f + m2fv2f

KEi = KEf

½m1v1i² + ½m2v2i² = ½m1v1f² +

½m2v2f²

Center of Mass

xCM = Σmmixi/Σmmi

yCM = Σmmiyi/Σmmi

Rotational Motion

-constant angular a

ωf = ωi + αt

θ)/gf = θ)/gi + ωit + ½αt²

θ)/gf = θ)/gi + ½(ωi + ωf)t

ω² = ω0² + 2αθ)/g

ω = (ω + ω0)/2

N = Δv/Δtθ)/g/2πR/T = 2πR

f = #rev/time

l = Rθ)/g

- linear acceleration

v = Rω

a = atan + acentripetal(ω²R)

I = Σmmr² = m1r1² + m2r2² + …

Iblob = mr²

τ = rFperpedicular

τ = Iα

Pressure in Fluid

P = ρghgh

Pabs = Patm + PG

Ph = Papplied + ρghgh

F1/A1 = F2/A2

FB = mflg = ρghflVfl dispg

wtapparent = mg - ρghflVfl dispg

ρgh = m/v

Fluids in Motion

Mass flow rate Δv/Δtm/Δv/Δtt

Volume flow rate Δv/ΔtV/Δv/Δtt

(Δv/ΔtV/Δv/Δtt)in = (Δv/ΔtV/Δv/Δtt)out

ρgh1A1v1 = ρgh2A2v2

P1 + ½ρghv1² + ρghgy1 = P2 + ½ρghv2² +

ρghgy2

v1 = √2g(y2 – y1)

Simple Harmonic Motion

x = Acos(ωt)

v = -Aωsin(ωt)

vmax = Aω

a = -Aω²cos(ωt)

amax = Aω²

- spring

F = -kx

k = mω²

ω = √(k/m)

2πR/T = 2πRf = √(k/m)

f = (1/2πR/T = 2πR)√(k/m)

E = ½ mv² + ½ kx² + mgh

vmax = Aω

amax = Aω²

Pendulum

a = gθ)/g

xarc = Lstringθ)/g

a = (g/L)x

ω = √(g/L)

Waves

v = fλ = λ/T

Intensity (I) =

Energy/(Time·Area) =

Power/Area

I1A1 = I2A2

vstring = √(FT/μ)

μ = mass/length

Sound

vin air = 331m/s + (0.6m/s°C)(T°C)

- open tube

L = λ/2

v = fλ

f = v/λ = v/(2L)

β = (10dB)log10(I/I0)

I0 = 1 × 10-12 w/m²

x = logay

y = ax

log(ab) = log(a) + log(b)

log(a/b) = log(a) – log(b)

Reflection

θ)/gI = θ)/gR

Refraction

n = c/v

n1sinθ)/g1 = n2sinθ)/g2

θ)/gc = sin-1(n2/n1)

Double Slit

L = distance from slits to screen

d = distance between slits

y = distance from center

in phase (bright) (R2 – R1) = dsinθ)/g

out of phase (dark) tanθ)/g = y/L

- far away screen

constructive dsinθ)/g = nλ

destructive dsinθ)/g = (n + ½)λ

Single Slit

D = width of slit

Dark fringe Dsinθ)/g = mλ

Bright fringe m = 0

Partial preview of the text

Download CheatSheet for General Physics Final | PHYS 2205 and more Study notes Physics in PDF only on Docsity!

SI UNITS

Weight - N Force – N Period – s Frequency – Hz Energy – J Work – J Spring constant – N/m Power – W Torque – m·N Revolution – Rad Inertia – kg·m² Momentum – kg·m/s or N·s Impulse – kg·m/s or N·s Density – kg/m³ Pressure – N/m² or Pa Intensity – w/m² Intensity level – β Wavelength - m FORMULAS Kinematics v = d/t a = Δv/Δtv/Δv/Δtt -constant a vf = vi + at xf = xi + vit + ½at² xf = xi + ½(vi + vf)t vf² = vi² + 2a(xf-xi) vave = (vf + vi)/ R = vi²sin(2θ)/g)/g Forces Fnet = ma FG = -mg FGx = mgsinθ)/g FGy = -mgcosθ)/g FN = mg Ffr = μkFN Gravitation Fobj1,obj2 = Gm 1 m 2 /R² G = 6.67  10 -11N·m²/kg² Circular Motion ac = v²/R Fnetc = mv²/R T = 1/ f f = tper cycle v = 2πR/T = 2πRR/T = 2πR/T = 2πRR f Energy KE = ½mv² PES = 1/2kx² PEG = mgh Powerave = W/t = Fd/t = Fvave E = KE + PE WNC = KEf – KEi KEi + PEi = KEf + PEf Liner Momentum p = mv Impulse = FnetΔv/Δtt = maΔv/Δtt = Δv/Δtp m1iv1i + m2iv2i = m1fv1f + m2fv2f KEi = KEf ½m 1 v1i² + ½m 2 v2i² = ½m 1 v1f² + ½m 2 v2f² Center of Mass xCM = Σmmixi/Σmmi yCM = Σmmiyi/Σmmi Rotational Motion -constant angular a ωf = ωi + α t θ)/gf = θ)/gi + ωi t + ½α t ² θ)/gf = θ)/gi + ½(ωi + ωf)t ω² = ω 0 ² + 2αθ)/g ω = (ω + ω 0 )/ N = Δv/Δtθ)/g/2πR/T = 2πR f = #rev/time l = Rθ)/g

linear acceleration v = Rω a = atan + acentripetal(ω²R) I = Σm mr ² = m 1 r 1 ² + m 2 r 2 ² + … Iblob = mr² τ = rFperpedicular τ = Iα Pressure in Fluid P = ρghgh Pabs = Patm + PG Ph = Papplied + ρghgh F 1 /A 1 = F 2 /A 2 FB = mflg = ρghflVfl dispg wtapparent = mg - ρghflVfl dispg ρgh = m/v Fluids in Motion Mass flow rate Δv/Δt m /Δv/Δt t Volume flow rate Δv/ΔtV/Δv/Δtt (Δv/ΔtV/Δv/Δtt)in = (Δv/ΔtV/Δv/Δtt)out ρgh 1 A 1 v 1 = ρgh 2 A 2 v 2 P 1 + ½ρgh v 1 ² + ρgh gy 1 = P 2 + ½ρgh v 2 ² + ρgh gy 2 v 1 = √2 g ( y 2 – y 1 ) Simple Harmonic Motion x = Acos(ωt) v = -Aωsin(ωt) vmax = Aω a = -Aω²cos(ωt) amax = Aω²
spring F = -kx k = mω² ω = √(k/m) 2πR/T = 2πR f = √(k/m) f = (1/2πR/T = 2πR)√(k/m) E = ½ mv² + ½ kx² + mgh vmax = Aω amax = Aω² Pendulum a = gθ)/g xarc = Lstringθ)/g a = (g/L)x ω = √(g/L) Waves v = f λ = λ/T Intensity (I) = Energy/(Time·Area) = Power/Area I 1 A 1 = I 2 A 2 vstring = √(FT/μ) μ = mass/length Sound vin air = 331m/s + (0.6m/s°C)(T°C)
- open tube L = λ/ v = f λ f = v/λ = v/(2L) β = (10dB)log 10 (I/I 0 ) I 0 = 1 × 10-12^ w/m² x = logay y = ax log(ab) = log(a) + log(b) log(a/b) = log(a) – log(b) Reflection θ)/gI = θ)/gR Refraction n = c/v n 1 sinθ)/g 1 = n 2 sinθ)/g 2 θ)/gc = sin-1(n2/n1) Double Slit L = distance from slits to screen d = distance between slits y = distance from center in phase (bright) (R 2 – R 1 ) = dsinθ)/g out of phase (dark) tanθ)/g = y/L
- far away screen constructive dsinθ)/g = nλ destructive dsinθ)/g = (n + ½)λ Single Slit D = width of slit Dark fringe Dsinθ)/g = mλ Bright fringe m = 0

m = 1,2,3 (dark spots) Vectors – weight, velocity, force, position Scalars – speed, distance, mass, charge, time, volume, temperature, energy Conservative Forces – gravitational, elastic, electric Nonconservative Forces – friction, air resistance, tension in cord, motor or rocket propulsion, push or pull by a person CONCEPTS Newton’s 1st^ Law – A body acted on by no net forces moves with a constant velocity and no acceleration Newton’s 2nd^ Law – F = ma Newton’s 3rd^ Law – Whenever 1 object exerts a force on a second object, the second exerts an equal and opposite force on the first. Collisions – if no force external, momentum is conserved Elastic – objects come together and bounce apart. Kinetic energy is conserved. Inelastic – objects come together and bounce apart or stick together. Kinetic energy is not conserved. Perfectly Inelastic – objects come together and stick together. Rotational Motion - The centripetal acceleration is greater the farther you are from the axis of rotation. Angular velocity oat any point is the same. Torque – long lever arms help produce large torque. Rotational Inertia – a large-diameter cylinder will have greater rotational inertia than one of equal mass but smaller diameter. Bernoulli’s Principle – where the velocity of a fluid is high, the pressure is low. Where the velocity of a fluid is low, the pressure is high. Reflection – when one end of the string is fixed, the wave will return on the opposite side. When the end is free, it will return on the same side.

CheatSheet for General Physics Final | PHYS 2205, Study notes of Physics

Often downloaded together

Related documents

Partial preview of the text

Download CheatSheet for General Physics Final | PHYS 2205 and more Study notes Physics in PDF only on Docsity!

SI UNITS