Relativistic Motion ```time dilation t' = t/γ mass increase m' = mγ length shortening L' = L/γ γ = 1/√(1–(V²/c²)) relativistic momentum is γmv relativistic total energy is: E = mc²γ Relativistic KE = mc²γ–mc² = mc²(γ–1) γ = 1/√(1–(V²/c²)) relativistic speed addition S = (v+u)/(1+vu/c²) γ = 1/√(1–(V²/c²)) γ = 1 + (V²/2c²) for small v Speed of light c = 299,792,458 metres per second or 86,282 miles per second Momentum P = γmV γ = 1/√(1–V²/c²) m is rest mass V = speed Gamma values at v = 1 m/s, γ = 1 + 5.6e-18 at v = 3 m/s, γ = 1 + 5.6e-17 at v = 10 m/s, γ = 1 + 5.6e-16 at v = 30 m/s, γ = 1 + 5.6e-15 at v = 100 m/s, γ = 1 + 5.6e-14 at v = 300 m/s, γ = 1 + 5.6e-13 at v = 1000 m/s, γ = 1 + 5.6e-12 at v = 3000 m/s, γ = 1 + 5.6e-11 at v = 10000 m/s, γ = 1 + 5.6e-10 at 0.0001c, 3e4 m/s, γ = 1.0000000056 at 0.0003c, 1e5 m/s, γ = 1.000000056 at 0.001c, 3e5 m/s, γ = 1.00000056 at 0.003c, 1e6 m/s, γ = 1.0000056 at 0.01c, 3e6 m/s, γ = 1.000056 at 0.03c, 1e7 m/s, γ = 1.00056 at 0.1c, 3e7 m/s, γ = 1.0050 at 0.2c, 6e7 m/s, γ = 1.0206 at 0.3c, 9e7 m/s, γ = 1.048 at 0.4c, 1.2e8 m/s, γ = 1.081 at 0.5c, 1.5e8 m/s, γ = 1.15 at 0.6c, 1.8e8 m/s, γ = 1.25 at 0.7c, 2.1e8 m/s, γ = 1.40 at 0.75c, 2.24e8 m/s, γ = 1.51 at 0.8c, 2.4e8 m/s, γ = 1.67 at 0.866c, 2.6e8 m/s, γ = 2 at 0.9c, 2.7e8 m/s, γ = 2.29 at 0.98c, 2.94e8 m/s, γ = 5.05 at 0.99c, 2.97e8 m/s, γ = 7.09 at 0.999c, γ = 22.4 at 0.9995c, γ = 31.6 at 0.9999c, γ = 70.7 at 0.99995c, γ = 100 at 0.9999995c, γ = 1000 at 0.999999995c, γ = 10000 ``` Home Area, Volume Atomic Mass Black Body Radiation Boolean Algebra Calculus Capacitor Center of Mass Carnot Cycle Charge Chemistry   Elements   Reactions Circuits Complex numbers Constants Curves, lines deciBell Density Electronics Elements Flow in fluids Fourier's Law Gases Gravitation Greek Alphabet Horizon Distance Interest Magnetics Math   Trig Math, complex Maxwell's Eq's Motion Newton's Laws Octal/Hex Codes Orbital Mechanics Particles Parts, Analog IC   Digital IC   Discrete Pendulum Planets Pressure Prime Numbers Questions Radiation Refraction Relativistic Motion Resistance, Resistivity Rotation Series SI (metric) prefixes Skin Effect Specific Heat Springs Stellar magnitude Thermal Thermal Conductivity Thermal Expansion Thermodynamics Trigonometry Units, Conversions Vectors Volume, Area Water Wave Motion Wire, Cu   Al   metric Young's Modulus