Calculate the following:How much energy is released by the conversion of 4.2 x 10^-5 kg of mass to energy?How much mass must be converted to energy to produce 1.00 J of energy?


For the fist part:
[tex]\begin{gathered} E=mc^2 \\ m=4.2\times10^{-5}kg \\ c=3\times10^8m/s \\ so: \\ E=(4.2\times10^{-5})(3\times10^8) \\ E=3.8\times10^{12}J \end{gathered}[/tex]For the second part, we need to solve for m:
[tex]\begin{gathered} m=\frac{E}{c^2} \\ so: \\ m=\frac{1}{(3.8\times10^8)^2} \\ m=1.11\times10^{-17}kg \end{gathered}[/tex]