It's impossible to provide a definitive list of the 20 most important formulas in physics, as importance varies greatly depending on the specific area of study. However, here's a list of 20 fundamental formulas spanning various branches of physics. This selection represents key relationships and principles.
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Newton's Second Law of Motion: F = ma (Force equals mass times acceleration)
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Work Done: W = Fdcosθ (Work equals force times distance times the cosine of the angle between them)
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Kinetic Energy: KE = (1/2)mv2 (Kinetic energy equals one-half times mass times velocity squared)
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Potential Energy (Gravitational): PE = mgh (Potential energy equals mass times the acceleration due to gravity times height)
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Power: P = W/t (Power equals work done divided by time)
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Ohm's Law: V = IR (Voltage equals current times resistance)
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Electric Power: P = IV (Power equals current times voltage)
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Wave Speed: v = fλ (Wave speed equals frequency times wavelength)
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Refractive Index: n = c/v (Refractive index equals the speed of light in a vacuum divided by the speed of light in the medium)
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Snell's Law: n1sinθ1 = n2sinθ2 (Relates the angles of incidence and refraction to the refractive indices of the two media)
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Ideal Gas Law: PV = nRT (Pressure times volume equals the number of moles times the ideal gas constant times temperature)
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Coulomb's Law: F = k(q1q2)/r2 (Force between two charges equals Coulomb's constant times the product of the charges divided by the distance squared)
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Gravitational Force: F = G(m1m2)/r2 (Force between two masses equals the gravitational constant times the product of the masses divided by the distance squared)
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Centripetal Force: Fc = mv2/r (Centripetal force equals mass times velocity squared divided by the radius of the circular path)
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Hooke's Law: F = -kx (Force exerted by a spring equals the spring constant times the displacement)
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Torque: τ = rFsinθ (Torque equals the lever arm times the force times the sine of the angle between them)
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Momentum: p = mv (Momentum equals mass times velocity)
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Impulse: J = Δp = FΔt (Impulse equals the change in momentum, which equals force times change in time)
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Shear Modulus: (shear stress)/(shear strain) = (F/A)/(x/y)
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Water Pressure: Pressure = ρgh (Pressure equals density times the acceleration due to gravity times height)
This list provides a foundational overview. More specialized areas, such as quantum mechanics or relativity, rely on their own sets of critical equations.