Question

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?

Answer 1

For the fist part:

`\begin{gathered} E=mc^2 \\ m=4.2*10^(-5)kg \\ c=3*10^8m/s \\ so: \\ E=(4.2*10^(-5))(3*10^8) \\ E=3.8*10^(12)J \end{gathered}`

For the second part, we need to solve for m:

`\begin{gathered} m=(E)/(c^2) \\ so: \\ m=(1)/((3.8*10^8)^2) \\ m=1.11*10^(-17)kg \end{gathered}`