Question

1. energy and mass are related by the formula e = mc². ● m is the mass of the object. ● c is the speed of light. which equation finds m, given e and c? a. m = e - c² b. m = ec² c. m = c²/e d. m = e/c²

Explanation:

Step1: Isolate m in E = mc²

Divide both sides by c².
$E = mc^{2}\Rightarrow\frac{E}{c^{2}}=\frac{mc^{2}}{c^{2}}$

Step2: Simplify the right - hand side

$\frac{mc^{2}}{c^{2}}=m$, so $m=\frac{E}{c^{2}}$

Answer:

D. $m = \frac{E}{c^{2}}$