Download Equation Sheet Prompts

Equation Sheet Prompts
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Motion
a.
Av velocity = dist/time or d = vt
i. vav = (vo + vf)/2
b. accel = v/ t or a = (vf – vo)/t
i. vo = initial velocity
ii. vf = final velocity
iii. a = acceleration
iv. t = time
Kinematic Equations
a. vf = vo + at
(i)
b. vf2 = vo2 + 2ad
(ii)
c. d = vot + ½ at2
(iii)
i. d = distance
Projectile Motion formulas (vo, θ)
a. range= (v02sin2θ/g)
b. hang time = (2v0sinθ/g)
c. max height = (v0sinθ)2/(2g)
Forces
a. Fnet = ma (N’s 2nd law)
b. Fg = weight (w) = mg
i. m = mass
ii. g = grav acceleration
Friction
a. Ff = Fn
i. Ff = friction force
ii.
= coefficient of friction
iii. Fn = normal force
Inclined plane ( )
a. Fn = mgcos
b. Fdn = mgsin (down plane)
Pressure P (Pascal)
a. P = force/area = F/A
Momentum (p)
a. p = mv
i. m= mass
ii. v = velocity
Impulse (J)
a. J = F t = m v (change in momentum)
Work
a. W = Fd cos
i. F = force
ii. d = distance
iii.
= application angle
Power (P)
a. P = work/time = W/t
Energy
a. Potential (PE) = mgh
i. h = height
b. Kinetic (KE) = ½ mv2
c. Conservation of Energy
i. Total Mechanical Energy is constant
ii.
PE = KE
Circular Motion
a. T = 1/f
i. T = period
ii. f = frequency
b. v = 2 r/T
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i. r = radius
ii. T = period (seconds)
Centripetal Acceleration
a. ac = v2/r
Centripetal force
a. Fc = mac = mv2/r
Torque (rotational force)
a.
= applied force x lever arm x sin θ
b.
= Fd sin θ
Moment of Inertia (I)
a. I = (k)mr2
b. k = shape constant (ref table)
Angular Momentum (L)
a. L = mvr
Orbital radius (ro) = R + h
a. R = radius of planet
b. h = altitude
Orbital speed (vo) = (GM/ro)
i. G = 6.67e-11
ii. M = mass of orbited body
Kepler’s 2nd Law (Conservation of ang momentum)
a. v1r1 = v2r2
Kepler’s 3rd Law (R = orbital radius ro)
a. T2 = 4 2R3/(GM)
Universal Gravitation
a. F = Gm1m2/d2 (G=6.67e-11)
Density ( ) = m/V
a. m = mass
b. V = volume
Hydrostatic pressure (due to depth h)
a. Ph = Pa + gh
i. Pa = atm pressure
ii.
= density
iii. g = gravitational accel’n (9.8)
Archimedes’ Principle
a. Buoyant force = upward force
b. Fb = gV
i. V = volume displaced
Pascal’s Principle
a. F1/A1 = F2/A2
Heat expansion
a. Linear:
L = Lo
T
i. Lo = original length
ii.
= coeff of linear exp
iii.
T = change in temp C
b. Area:
A = Ao 2 T
i. Ao = original area
c. Volume: V = Vo T
i.
= coeff of volume exp
Equation sheet
Equation Sheet Prompts
29. Heat Energy transfer
a. Q = mc T
i. Q = joules of heat
ii. m = mass
iii. c = specific heat
iv.
T = change in temp C
30. Latent Heat (change of state)
a. Q = mh
i. m = mass
ii. h = latent heat of fusion (hf) or
vaporization (hl)
31. Simple Harmonic Motion - Spring
a. Restoring force displacement
b. F = -kx
i. k = spring constant
c. Period of oscillating spring
i. T = 2 (m/k), where
m = mass
32. Simple Harmonic Motion - Pendulum
a. Period of oscillating pendulum
i. T = 2 (l/g), where
l = length
33. Waves
a. Wave speed v = f
34. Doppler Effect
a. f’ = f(v + vo)/(v – vs)
b. vo = speed of observer
c. vs = speed of source
d. v = speed of sound (340 m/s)
35. Standing waves - strings
a. f = nv/2L
i. n= harmonic #
ii. v = speed in string
iii. L = length of string
36. Standing waves – pipes
a. Open
i. f = nv/2L
b. Closed
i. f = nv/4L
ii. n = odd harmonics (1,3..)
37. Beats
a. fb = |f1 – f2|
38. Mirror/Lens Equation
a. 1/f = 1/do + 1/di
i. f= focal length
ii. do = object distance
iii. di = image distance
39. Snell’s Law of Refraction
a. ni sin i = nr sin r
i. i,r = incidence/refraction
ii. n = index of refraction
iii.
= angle of incidence /refraction
40. Index of refraction (n)
a. n = speed of light in vacuum /speed of light in
material = c/v
41. Coulomb’s Law of Electrostatics
a. Fe = kq1q2/d2
i. k = 9e9
ii. q = charges
iii. d = separation distance
42. Potential Difference (Voltage)
a. V = work/charge = w/q
43. Current I (amps)
a. I = charge/time = q/t
44. Capacitance C (farads)
a. C = charge/voltage = q/v
45. Ohm’s Law
a. V = IR, I = V/R, R = V/I
i. V = voltage
ii. I = current
iii. R = resistance
46. Power P (watts)
a. P = VI = I2R = V2/R
47. Resistors in series
a. Rt = R1 + R2 + R3 + …
48. Resistors in parallel
a. 1/Rt = 1/R1 + 1/R2 + 1/R3 +…
49. Magnetic force
a. F = qvB
i. q = charge
ii. v = speed of charge
iii. B = magnetic field strength
50. Magnetic force
a. F = BIl
i. B = magnetic field
ii. I = current
iii. l = length of wire
51. Photon Energy
a. E = hf = hc/ (c = f)
i. h = 6.63e-34 J.s, or
ii. h = 4.143e-15 eV.s
52. De Broglie’s wavelength
a.
= h/(mv)
i. mv = momentum
53. Photoelectric effect
a. Photon energy = KE + work function of material
b. hf (or hc/λ) = KE + W
54. Radioactivity
a. Activity (Bequerel Bq)
i. =λN (λ= decay constant)
b. Decay
i. N = Noe-λt
c. Half-life
i. T1/2 = 0.693/λ
Equation sheet