Question

The atomic bomb dropped on Hiroshima converted about 7.00x10-4kg of mass to energy. How much energy did that bomb produce?

A)2.10x10^5J

B)7.78x10^-21J

C)6.30x10^13J

D)2.10x10^61J

Answer 1

`\sf \: given \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf \: mass \: \: \: m \: = 7.00 * {10}^( - 4) \: kg \\ \\ \bf \: E=mc^2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = > E=7.00 * {10}^( - 4) * ({3 * {10}^(8) })^(2) \\ \\ = > \green{ \boxed{ E = 6.3 * {10}^(13) \: J}}`