Answer:
[tex]m=0.002kg[/tex]
Step-by-step explanation:
The given formula is:
[tex]E=mc^2[/tex]
Divide both sides by [tex]c^2[/tex].
[tex]\implies \frac{E}{c^2}=\frac{mc^2}{c^2}[/tex]
Cancel out the common factors to get;
[tex]\implies \frac{E}{c^2}=m[/tex]
[tex]m=\frac{E}{c^2}[/tex]
When [tex]E=1.8\times10^{14}J[/tex] and [tex]c=300,000,000ms^{-1}[/tex], then
[tex]m=\frac{1.8\times10^{14}}{300,000,000^2}[/tex]
This simplifies to
[tex]m=0.002kg[/tex]
