List of formulas related to Theory Of Relativity

Mass-Energy Equivalence

m: mass (kg), E: energy of object (J), c: speed of light (m/s)

$$ E = mc^2 $$ $$ c \approx 3 \times 10^8(m/s) $$

Length Contraction

lo: real length of object, l: length observed by an observer moving with speed v

$$ l = l_o \sqrt{1 - \frac{v_2}{c^2}} $$

Relativistic Mass

mo: rest mass, m: relativistic mass of object when moving with speed v

$$ m = \frac{m_o}{\sqrt{1 - \frac{v_2}{c^2}}} $$

Time Dilation

$$ \Delta t = \frac{\Delta t_o}{\sqrt{1 - \frac{v_2}{c^2}}} $$