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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 |