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Physics Formulas

Kinematics, Force, Motion, Work, Energy, Power, Momentum, Thermal Physics, Etc.

QuestionAnswer
Newton’s Second Law of Motion F = m × a
Work-Energy Theorem W = ΔKE (Work = The change in Kinetic Energy)
Kinetic Energy KE = 1/2mv^2
Potential Energy (Gravitational) PE = mgh
Hooke’s Law (Spring Force) Fs = −kx: Fs is the spring force, k is the spring constant, x is the displacement from the equilibrium position.
Newton’s Law of Universal Gravitation F = G ⋅ m1 ⋅ m2 / r2 F is the gravitational force between two masses, G is the gravitational constant, m1 and m2 are the masses, r is the distance between the centers of the masses.
Displacement (s) s = Vit + 1/2 at^2 s is the displacement. Vi is the initial velocity a is the acceleration, t is the time.
Final Velocity (Vf) Vf = Vi + at Vf is the final velocity, Vi is the initial velocity, a is the acceleration, t is the time.
Kinematic Third Equation of Motion Vf^2 = Vi^2 + 2as Vf is the final velocity, Vi is the initial velocity, a is the acceleration, s is the displacement.
Average Velocity (Vavg) Vavg = Δx / Δt
Acceleration (a) a = Δv /Δt or F/m(Newton's Second Law)
Electric Current (I) I = Q/t I is the electric current (measured in Amperes, A). Q is the charge that passes through a given point. t is the time taken.
Electric Charge (Q) Q = I × t Q is the electric charge (measured in Coulombs, C). I is the electric current. t is the time taken.
Ohm’s Law V = IR V is the voltage, I is the current, R is the resistance.
Power P = VI P is the power, I is the current, V is the voltage.
Resistance R = ρl / A R is the resistance, ρ is resistivity, l is length, and A is area
Watt’s Law P = I²R or P = V²/R R is the resistance, I is Current, and V is Voltage
Electric Energy P = W x T P is power, W is energy, T is time
Voltage V = E / Q E is energy, Q is charge
Electric Field (E) E = F/q E is the electric field. F is the force experienced by the charge. q is the magnitude of the charge.
Faraday’s Law of Electromagnetic Induction ε = dΦ/dt ε is the induced EMF. Φ is the magnetic flux through the loop. t is time.
Magnetic Force on a Moving Charge F = qvBsinθ F is the magnetic force, q is the charge, v is the velocity, B is the magnetic field strength, θ is the angle between v and B.
Gauss’ Law for Electric Field Φ = q/εo εo is the electric permittivity of free space Φ is the magnetic flux through the loop. q is the net charge enclosed by the surface.
Electric Potential (Voltage) V = W/q V is the electric potential (voltage). W is the electric potential energy. q is the charge.
Speed of Sound v = √(B/p) v is the speed of sound, B is the bulk modulus of the medium, ρ is the density of the medium.
Wavelength (λ) λ = v/f λ is Wavelength v is Speed of sound f is Frequency of the sound wave
Frequency (f) f = v / λ f is Frequency v is Speed of sound λ is Wavelength
Acoustic Impedance (Z) Z = ρ × c Z is Acoustic impedance ρ is Density of the medium c is Speed of sound in the medium
Density ρ = mV ρ is density of fluid m is mass, and v is volume
Pressure P = F/A P is the pressure of the fluid, F is applied Force, A is area
Pressure at a Depth h in a Fluid of Constant Density p = po + ρgh p is pressure at height h po is the pressure at the fluid’s surface, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth to which the object is submerged
Viscosity η = FL/vA η is fluid viscosity F is force L is distance between the plates V is constant velocity A is area of the plate
Pascal’s Law F = PA F is applied Force P is Pressure, and A is area under cross-section.
Reynolds Number (Re) Re = pvL/μ ρ is the density of the fluid. v is the velocity of the fluid. L is a characteristic length (e.g., diameter of the pipe). μ is the dynamic viscosity of the fluid.
First Law of Thermodynamics (Energy Conservation) ΔU = Q − W ΔU is the change in internal energy, Q is the heat added to the system, W is the work done by the system.
Work Done in Isothermal Process (Ideal Gas) W = nRTln(Vf/Vi) W is the work done, n is the number of moles of gas, R is the ideal gas constant, T is the temperature, ln is the natural logarithm Vf is the final volume, Vi is the initial volume.
Heat Transfer (Constant Pressure) Q = nCp ΔT Q is the heat added or removed, n is the number of moles of gas, Cp is the specific heat at constant pressure, ΔT is the change in temperature.
Ideal Gas Law PV = nRT P is the pressure of the gas. V is the volume of the gas. n is the number of moles of gas. R is the gas constant. T is the temperature of the gas.
Entropy Change ΔS = Q/T ΔS is the change in entropy. Q is the heat. T is the temperature.
Wave Velocity (v) v = f × λ v = Wave velocity (in meters per second, m/s) f = Frequency of the wave (in Hertz, Hz) λ = Wavelength of the wave (in meters, m)
Frequency (f) f = 1/T f = Frequency (in Hertz, Hz) T = Time period of one wave cycle (in seconds, s)
Wavelength (λ) λ = v/f λ = Wavelength (in meters, m) v = Wave velocity (in meters per second, m/s) f = Frequency (in Hertz, Hz)
Period (T) T = 1/fT = Period (in seconds, s) f = Frequency (in Hertz, Hz)
Intensity (I) I = P/A P is the power A is the area.
Initial Velocity Vi = Vf – at,
Work Done (Joule J) W = Fs Force (N) x Displacement (m)
Created by: Oneof1
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