Question

Einstein's equation for mass-energy equivalence, E = mc2, qives the equivalent energy of an object, E, where m is the mass of the object and c is the speed of light.Solve for m in terms of E and c.m=

Answer 1

$m=\frac{E}{c^{2}}$

1) In this literal equation problem, let's perform some algebraic manipulations:

$\begin{gathered} E=mc^2 \\ \frac{E}{m}=\frac{mc^2}{m} \\ c^2=\frac{E}{m} \\ mc^2=E \\ \frac{mc^2}{c^2}=\frac{E}{c^2} \\ m=\frac{E}{c^{2}} \end{gathered}$

Note that the point here is to isolate m on the left side, so we needed to divide both sides and then cross multiply them.