"Fat Man," the atomic bomb dropped on Nagasaki at the end of World War II released approximately 88 * 10¹² J of explosive energy.How much mass was converted into energy in this bomb? A)0.88 g B)0.98 g C)1.1 g D)2.1 g E)2.9 * 10⁵ kg

Question

Quizplus · Accepted Answer

Using Einstein's equation $E=mc^2$, where $E$ is energy, $m$ is mass, and $c$ is the speed of light ($3 \times 10^8$ m/s), we can calculate the mass converted into energy. Given $E = 88 \times 10^{12}$ J, solving for $m$ gives $m = \frac{E}{c^2} = \frac{88 \times 10^{12}}{(3 \times 10^8)^2} \approx 0.98$ grams.

"Fat Man," the Atomic Bomb Dropped on Nagasaki at the End