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# Physics formula MCAT

Question | Answer |
---|---|

Displacement d = | ∆s (final position) - (inital position) |

average velocity v = | v = ∆x/∆t = d/∆t |

average acceleeration a = | a = ∆v/∆t |

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; |

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 |

Newton's Second Law | F = ma |

Newton's Third Law | To every action there is always opposed an equal reaction |

Weight w = | w = mg |

Gravitational force F = | F = G Mm/r^2 |

Kinetic friction | F = µ(k)F (normal force) |

Static friction | F = µ(s)F (normal force) |

Force due to gravity acting parallel to inclined plane F = | F = mg sinθ |

force due to gravity acting perpendicular to inclined plane F = | F = mg cosθ |

Force from Tension F (T) = | F (tension) = F (net) + mg |

Center of mass | = m1x1+m2x2+m3x3.../m1+m2+m3... |

Centripital acceleration a = | F = v^2/r |

Centripital ForceF = | F = ma = mv^2/r |

Torque τ = | τ = rFsinθ |

Work (3)W = | W = Fd= Pt= qV |

Kinetic Energy KE = | KE = 1/2 mv^2 |

Work-Energy Theorem W (total)= | ∆KE |

Gravetational Potential Energy PE or U = | PE = mgh |

Total Mechanical Energy E = | E = KE + PE |

Conservaton of Total Mechanical Energy | KE(i)+PE(i) = KE(f)+PE(f) |

Momentum p = | p = mv |

Impulse J | J = ∆p= F∆t |

Conservation of Total Momentum | p(inital) = p(final) |

Elastic Collision | Total momentum and total KE is conserved i.e when after a collision two balls go in opposite directions |

Inelastic Collision | Total momentum is conserved however, KE is NOT conserved i.e balls move together |

Density ρ = | ρ = m/V |

Specific gragity sp.gr = | sp.gr = ρ/ρH2O |

Pressure P = | P = F/A |

Area for circle A = | A = πr^2 |

Hydrostatic Gague Pressure P (gauge) = | = ρ(fluid)gd |

Total Hydrostatic Pressue P = | P = ρ (on surface) +P(gauge) |

Archmides' Principle F (Buoy) = | F (Buoy) = ρ(fluid)gV |

Laminar | smooth floe |

Pascal's Law | F1/A1 = F2/A2 |

flow rate f = | f = Av |

Bernoulli's equation | P1 +1/2ρv^2 +ρgh = P2 +1/2ρv^2 + ρgh |

Stress | = F/A |

Elementary Charge e = | e = 1.6 x10^-19 C = 1eV |

Coulomb's Law F(electric) = | F = K qq/r^2 |

electric Field due to point charge Q = | Q = k Q/r^2 |

The direction of electric field is... | away from a positive source charge and toward a negative charge |

Electric Force F(electric) = | F = qE |

Current I = | I = Q/t |

Resistance R = | R = ρ(resistivity) L/AR = V/I |

Ohm's Law | V = IR (where R is constant) |

Resistors in series | R = R1+R2+R3+R4.... |

Resistors in parallel | R = R1R2/R1+R2 or 1/R = 1/R1 + 1/R2... |

Power of circuit P = | P = IV; P = I^2R; P = V^2/R |

Roor-mean-squar V rms = | V rms = V max/√2 |

T or F; Do resistors in series share the same current? | True...always |

T or F; Do resistors in parallel share the same voltage drop? | True...always |

Does a small resistance give a smaller or bigger current? | A smaller resistance gives a BIGGER current |

T or F can capacitors with dielectrics hold more charge and PE? | True |

Charge on a capacitor Q = | Q = CV |

capacitance C = | C = ε A/D |

electric field in parallel plate V = | V = Ed |

Stored potential energy in capacitors PE = | PE = 1/2QVPE = 1/2CV^2 |

Capacitors in serires C = | C = C1C2/C1+C2 or 1/C = 1/C1 + 1/C2... |

Capacitors in parallel C = | C = C1+ C2+ C3... |

Magnetic Force F(B) = | F(B) = qvB (B = magnetic field) |

Right Hand Rule | thumb = direction of velocity of chargefingers = B = magentic fieldpalm of hand = magnetic force |

Hooke's Law for springs | F= -kx |

Elastic Potential Energy for spring | PE = 1/2 kx^2 |

Frequency spring block f = | f = ω/2π |

period for mass spring T = | T = 2π/ √m/k |

fundamental equation for waves v = | v = γf |

force constant for simple pendulem k = | k = mg/L |

period for simple pendulem T = | T = 2π√L/g |

angular frequency for sinmple pendulem | ω = √g/L |

sin 0 = | 0 |

sin 30 = | 1/2 or .5 |

sin 45 = | √2/2 or .70 |

sin 60 = | √3/2 or .87 |

sin 90 = | 1 |

sin 180 = | -1 |

cos0 = | 1 |

cos 30 = | √3/2 or .87 |

cos 45 = | √2/2 or .70 |

cos 60 = | 1/2 or .5 |

cos 90 = | 0 |

cos 180 = | -1 |

potential engergy for simple pendulem PE = | PE = mgh |

What is the wavelength of a wave in a tube with both ends open? λ= | λ = 2L/n |

What is the wavelength of a wave in a tube with one end closed? λ= | λ= 4L/n |

Beat frequency: f(beat) | f(beat) = f(1) - f(2) |

Intensity I = | I = power/area |

Doppler Effect f(D) = | f(O) = f(s) v +- v(o)/ v +- v(s) |

v(s) is positive if... | source is moving away from observer |

v(s) is negative if... | source is moving toward observer |

v(o) is positve if... | object is moving toward source |

v(o) is negative if... | object is moving away from source |

Photon of Energy E = | E = hf = hc/λ |

Index of refraction n = | n = c/v |

Snell's Law of Refraction | n1sinθ = n2sinθ |

mirror lens equation 1/f = | 1/o + 1/i = 1/f |

focal length f = | f = 1/2r |

magnification m = | m = -i/o |

If speaking about optics and light, converging means... | converging means concave mirror and convex lens |

If speaking about optics and light, diverging means... | diverging means convex mirror and concave lens |

Positive i = | real image (infront of mirror); that is inverted |

Negative i = | virtual image (behind mirror); that is upright |

Lens power P = | P = 1/f |

What is the formula for wavelength of a sting with both side closed λ = | λ = 2L |