If a typical city consumes electrical energy at a rate of $2.0 \mathrm { GW } \text {, }$ how many kilograms of matter would have to be converted entirely into electrical energy in order to keep this city running for $14 \text { weeks? }$ $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$
A)0.19 kg
B)0.21 kg
C)0.27 kg
D)0.32 kg

Question

Quizplus · Accepted Answer

Using $E=mc^2$, the energy required is $2.0 \, \text{GW} \times 14 \, \text{weeks} \times 7 \, \text{days/week} \times 24 \, \text{hours/day} \times 3600 \, \text{seconds/hour}$. Solving for $m$, $m = \frac{E}{c^2}$, results in approximately 0.19 kg.

If a Typical City Consumes Electrical Energy at a Rate 2.0GW, 2.0 \mathrm { GW } \text {, }2.0GW,

If a Typical City Consumes Electrical Energy at a Rate $2.0 \mathrm { GW } \text {, }$