Motion and Mechanics
* Velocity (v): v = d/t (velocity equals distance divided by time)
* Acceleration (a): a = (v_f - v_i)/t (acceleration equals the change in velocity divided by time)
* Distance (d): d = v_i*t + 1/2*a*t^2 (distance equals initial velocity multiplied by time plus half of acceleration multiplied by time squared)
* Newton's Second Law (F): F = m*a (force equals mass multiplied by acceleration)
* Work (W): W = F*d (work equals force multiplied by distance)
* Kinetic Energy (KE): KE = 1/2*m*v^2 (kinetic energy equals half of mass multiplied by velocity squared)
* Potential Energy (PE): PE = m*g*h (potential energy equals mass multiplied by gravitational acceleration multiplied by height)
Waves and Sound
* Wave Speed (v): v = f*λ (wave speed equals frequency multiplied by wavelength)
* Frequency (f): f = 1/T (frequency equals 1 divided by the period)
* Sound Intensity (I): I = P/A (sound intensity equals power divided by area)
* Doppler Effect (f'): f' = f*(v +/- v_o)/(v +/- v_s) (the observed frequency depends on the relative velocities of the source and observer)
Heat and Thermodynamics
* Heat (Q): Q = m*c*ΔT (heat equals mass multiplied by specific heat multiplied by the change in temperature)
* Specific Heat Capacity (c): c = Q/(m*ΔT) (specific heat capacity is the amount of heat required to raise the temperature of 1 unit mass of a substance by 1 degree)
* Thermal Expansion (ΔL): ΔL = α*L*ΔT (change in length equals coefficient of linear expansion multiplied by original length multiplied by the change in temperature)
* Ideal Gas Law (PV): PV = nRT (pressure multiplied by volume equals the number of moles multiplied by the ideal gas constant and temperature)
Electricity and Magnetism
* Ohm's Law (V): V = I*R (voltage equals current multiplied by resistance)
* Power (P): P = V*I (power equals voltage multiplied by current)
* Magnetic Force (F): F = q*v*B*sin(θ) (magnetic force equals the charge multiplied by velocity multiplied by magnetic field strength multiplied by the sine of the angle between velocity and magnetic field)
* Faraday's Law (ε): ε = -N*ΔΦ/Δt (induced electromotive force equals the negative of the number of turns multiplied by the change in magnetic flux divided by the change in time)
Light and Optics
* Speed of Light (c): c = f*λ (speed of light equals frequency multiplied by wavelength)
* Index of Refraction (n): n = c/v (index of refraction equals the speed of light in a vacuum divided by the speed of light in the medium)
* Snell's Law (n1*sinθ1 = n2*sinθ2): (the product of the index of refraction and the sine of the angle of incidence equals the product of the index of refraction and the sine of the angle of refraction)
* Lens Equation (1/f = 1/p + 1/q): (the reciprocal of the focal length equals the sum of the reciprocals of the object distance and the image distance)
Important Notes:
* These are just a few examples. There are many more formulas in physics, depending on the specific area of study.
* Make sure you understand the variables and their units.
* Practice applying the formulas to solve real-world problems.
By understanding these formulas and how to use them, you can gain a deeper understanding of the physical world around us.
