Answer:
The amount of mass that needs to be converted to release that amount of energy is [tex]1.122 X 10^{-7} kg[/tex]
Explanation:
From Albert Einstein's Energy equation, we can understand that mass can get converted to energy, using the formula
[tex]E= \Delta mc^{2}[/tex]
where [tex]\Delta m[/tex] = change in mass
c = speed of light = [tex]3 \times 10 ^{8}m/s[/tex]
Making m the subject of the formula, we can find the change in mass to be
[tex]\Delta m = \frac{E}{c^{2}}= \frac{1.01 \times 10^{3} \times 10^{7}}{(3 \times 10^{8})^{2}}= 1.122 \times 10 ^{-7}kg[/tex]
There fore, the amount of mass that needs to be converted to release that amount of energy is 1.122 X 10 ^-7 kg
