Physics formula MCAT
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| Displacement d = | ∆s (final position) - (inital position)
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| average velocity v = | v = ∆x/∆t = d/∆t
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| average acceleeration a = | a = ∆v/∆t
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| the Big Four uniformly accerlerated motion | ∆x = Vоt + 1/2at^2; ∆v =at; v^2 = v^2+2a∆x; v = v+v (final)+ (inital)/2;
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| Newton's First Law | F = An object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon
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| Newton's Second Law | F = ma
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| Newton's Third Law | To every action there is always opposed an equal reaction
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| Weight w = | w = mg
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| Gravitational force F = | F = G Mm/r^2
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| Kinetic friction | F = µ(k)F (normal force)
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| Static friction | F = µ(s)F (normal force)
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| Force due to gravity acting parallel to inclined plane F = | F = mg sinθ
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| force due to gravity acting perpendicular to inclined plane F = | F = mg cosθ
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| Force from Tension F (T) = | F (tension) = F (net) + mg
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| Center of mass | = m1x1+m2x2+m3x3.../m1+m2+m3...
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| Centripital acceleration a = | F = v^2/r
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| Centripital ForceF = | F = ma = mv^2/r
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| Torque τ = | τ = rFsinθ
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| Work (3)W = | W = Fd= Pt= qV
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| Kinetic Energy KE = | KE = 1/2 mv^2
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| Work-Energy Theorem W (total)= | ∆KE
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| Gravetational Potential Energy PE or U = | PE = mgh
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| Total Mechanical Energy E = | E = KE + PE
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| Conservaton of Total Mechanical Energy | KE(i)+PE(i) = KE(f)+PE(f)
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| Momentum p = | p = mv
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| Impulse J | J = ∆p= F∆t
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| Conservation of Total Momentum | p(inital) = p(final)
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| Elastic Collision | Total momentum and total KE is conserved i.e when after a collision two balls go in opposite directions
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| Inelastic Collision | Total momentum is conserved however, KE is NOT conserved i.e balls move together
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| Density ρ = | ρ = m/V
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| Specific gragity sp.gr = | sp.gr = ρ/ρH2O
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| Pressure P = | P = F/A
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| Area for circle A = | A = πr^2
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| Hydrostatic Gague Pressure P (gauge) = | = ρ(fluid)gd
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| Total Hydrostatic Pressue P = | P = ρ (on surface) +P(gauge)
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| Archmides' Principle F (Buoy) = | F (Buoy) = ρ(fluid)gV
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| Laminar | smooth floe
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| Pascal's Law | F1/A1 = F2/A2
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| flow rate f = | f = Av
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| Bernoulli's equation | P1 +1/2ρv^2 +ρgh = P2 +1/2ρv^2 + ρgh
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| Stress | = F/A
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| Elementary Charge e = | e = 1.6 x10^-19 C = 1eV
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| Coulomb's Law F(electric) = | F = K qq/r^2
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| electric Field due to point charge Q = | Q = k Q/r^2
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| The direction of electric field is... | away from a positive source charge and toward a negative charge
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| Electric Force F(electric) = | F = qE
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| Current I = | I = Q/t
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| Resistance R = | R = ρ(resistivity) L/AR = V/I
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| Ohm's Law | V = IR (where R is constant)
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| Resistors in series | R = R1+R2+R3+R4....
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| Resistors in parallel | R = R1R2/R1+R2 or 1/R = 1/R1 + 1/R2...
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| Power of circuit P = | P = IV; P = I^2R; P = V^2/R
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| Roor-mean-squar V rms = | V rms = V max/√2
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| T or F; Do resistors in series share the same current? | True...always
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| T or F; Do resistors in parallel share the same voltage drop? | True...always
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| Does a small resistance give a smaller or bigger current? | A smaller resistance gives a BIGGER current
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| T or F can capacitors with dielectrics hold more charge and PE? | True
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| Charge on a capacitor Q = | Q = CV
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| capacitance C = | C = ε A/D
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| electric field in parallel plate V = | V = Ed
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| Stored potential energy in capacitors PE = | PE = 1/2QVPE = 1/2CV^2
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| Capacitors in serires C = | C = C1C2/C1+C2 or 1/C = 1/C1 + 1/C2...
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| Capacitors in parallel C = | C = C1+ C2+ C3...
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| Magnetic Force F(B) = | F(B) = qvB (B = magnetic field)
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| Right Hand Rule | thumb = direction of velocity of chargefingers = B = magentic fieldpalm of hand = magnetic force
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| Hooke's Law for springs | F= -kx
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| Elastic Potential Energy for spring | PE = 1/2 kx^2
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| Frequency spring block f = | f = ω/2π
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| period for mass spring T = | T = 2π/ √m/k
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| fundamental equation for waves v = | v = γf
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| force constant for simple pendulem k = | k = mg/L
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| period for simple pendulem T = | T = 2π√L/g
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| angular frequency for sinmple pendulem | ω = √g/L
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| sin 0 = | 0
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| sin 30 = | 1/2 or .5
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| sin 45 = | √2/2 or .70
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| sin 60 = | √3/2 or .87
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| sin 90 = | 1
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| sin 180 = | -1
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| cos0 = | 1
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| cos 30 = | √3/2 or .87
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| cos 45 = | √2/2 or .70
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| cos 60 = | 1/2 or .5
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| cos 90 = | 0
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| cos 180 = | -1
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| potential engergy for simple pendulem PE = | PE = mgh
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| What is the wavelength of a wave in a tube with both ends open? λ= | λ = 2L/n
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| What is the wavelength of a wave in a tube with one end closed? λ= | λ= 4L/n
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| Beat frequency: f(beat) | f(beat) = f(1) - f(2)
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| Intensity I = | I = power/area
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| Doppler Effect f(D) = | f(O) = f(s) v +- v(o)/ v +- v(s)
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| v(s) is positive if... | source is moving away from observer
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| v(s) is negative if... | source is moving toward observer
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| v(o) is positve if... | object is moving toward source
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| v(o) is negative if... | object is moving away from source
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| Photon of Energy E = | E = hf = hc/λ
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| Index of refraction n = | n = c/v
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| Snell's Law of Refraction | n1sinθ = n2sinθ
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| mirror lens equation 1/f = | 1/o + 1/i = 1/f
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| focal length f = | f = 1/2r
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| magnification m = | m = -i/o
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| If speaking about optics and light, converging means... | converging means concave mirror and convex lens
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| If speaking about optics and light, diverging means... | diverging means convex mirror and concave lens
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| Positive i = | real image (infront of mirror); that is inverted
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| Negative i = | virtual image (behind mirror); that is upright
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| Lens power P = | P = 1/f
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| What is the formula for wavelength of a sting with both side closed λ = | λ = 2L
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