If a typical city consumes electrical energy at a rate of $2.0 \mathrm { GW }$ 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

The energy required is $2.0 \, \text{GW} \times 14 \times 7 \times 24 \times 3600 \, \text{s}$. Using $E=mc^2$, solve for $m$ to find the mass.

If a Typical City Consumes Electrical Energy at a Rate 2.0GW2.0 \mathrm { GW }2.0GW

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