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

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