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=(E)/(c^(2))`

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

`\begin{gathered} E=mc^2 \\ (E)/(m)=(mc^2)/(m) \\ c^2=(E)/(m) \\ mc^2=E \\ (mc^2)/(c^2)=(E)/(c^2) \\ m=(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.