The total yearly world consumption of energy is approximately 4.0 $\times$ 10²⁰ J.How much mass would have to be completely converted into energy to provide this amount of energy? A)4.4 $\times$ 10³ kg B)1.3 $\times$ 10¹² kg C)1.3 $\times$ 10⁴ kg D)4.4 $\times$ 10⁵ kg E)2.2 $\times$ 10⁴ kg

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Quizplus · Accepted Answer

According to Einstein's famous equation E=mc^2, the energy produced by converting a mass m into energy is E=mc^2. Rearranging this equation, we get m=E/c^2. Substituting the given values, we get m=(4.0 x 10^20 J)/(9.0 x 10^16 m^2/s^2)=1.3 x 10^14 kg. Therefore, the mass that would have to be completely converted into energy is 1.3 x 10^14 kg, which is option C.

The Total Yearly World Consumption of Energy Is Approximately 4 ×\times×

The Total Yearly World Consumption of Energy Is Approximately 4 $\times$