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Formulas that you need to know for the MCAT

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Question
Answer
Distance (vi, vf, t)   ½(vi+vf)t  
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Velocity (vi, a, t)   vi+at  
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Distance (vi, t, a)   vi*t+½at^2  
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Distance (vf, t, a)   vf*t-½at^2  
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Velocity (vi, a, d)   sqrt(vi^2+2ad)  
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sin(30°) or cos(60°)   .5  
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sin(45°) or cos(45°)   .7  
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sin(60°) or cos(30°)   .85  
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Force of Gravity   GMm/r^2  
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Centripetal Force   mv^2/r  
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Power   W/t=F*d/t=F*v  
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Momentum   mv (Pi=Pf)  
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Gauge Pressure   dρg  
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Force of Buoyancy   ρVg  
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Bernoulli's Equation   P+½ρv^2+ρgh = P+½ρv^2+ρgh  
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sqrt(2)   1.4  
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sqrt(3)   1.7  
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Electric Force   kQq/r^2  
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k   9E9 []=N*m^2/^2  
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Electric Field   kQ/r^2 []=N/C=V/m  
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Electric Potential   kQ/r []=J/C=V  
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Charge of Capacitor   VC  
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Potential Energy of Capacitor   ½QV  
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Magnetic Force   qvB  
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Work Done by Magnetic Force   0  
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Frequency of Spring   (1/2π)sqrt(k/m)  
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Frequency of Pendulum   (1/2π)sqrt(g/L)  
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Force of Spring   -kx  
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Potential Energy of Spring   ½kx^2  
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Electric Field of Capacitor   V/d  
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Kinetic Energy   ½mv^2  
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Work   F*d  
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Frictional Force   µ*F(N)  
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Impulse   F*t  
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Stress   F/A  
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Strain   ΔL/L  
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Change in Length   FL/EA  
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Centripetal Acceleration   v^2/r  
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Net Force   ma  
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Elementary Electric Charge   1.6E-19  
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Density of Water   1000kg/m^3 = 1g/cm^3  
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Speed of Light   3E8  
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Current (Q, t)   Q/t  
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Voltage (I, R)   IV  
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Resistivity (ρ, L, A)   ρL/A  
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Power in Circuit   IV = I^2R = V^2/R  
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RMS (MAX)   MAX/sqrt(2)  
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MAX (RMS)   RMS*sqrt(2)  
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Increase of 10 dB   (Initial Intensity) * 10  
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Harmonic Frequency of Standing Wave With Two Fixed Ends   (n/2L)v (n = 1, 2, 3, ...)  
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Harmonic Frequency of Standing Wave With One Fixed End   (n/4L)v (n = 1, 3, 5, ...)  
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Alpha Decay (α)   ΔA = -4, ΔZ = -2  
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Beta Decay (β-)   ΔA = 0, ΔZ = +1  
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Beta Decay (β+)   ΔA = 0, ΔZ = -1  
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Molality   moles of solute/kg of solvent  
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Doppler Effect   fd = fs(v±vd)/(v±vs)  
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Intensity   P/A []=W/m^2  
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Photon Energy   E=hf=hc/λ  
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Magnification   -i/o  
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Mirror (and Lens) Equation   (1/o)+(1/i)=(1/f)  
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Lens Power   P=1/f  
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Index of Refraction   n=c/v  
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Volume of One Mole of Ideal Gas at STP   22.4L  
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Visible Spectrum   Red λ=700nm - Violet λ=400nm  
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STP   P = 100 kPa, T = 273 K  
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Hearing Threshold   10E-12 W/m^2  
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Lens Power   1/focal length  
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Focal Length   R/2  
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