Total energy: Assume that a certain city consumes electrical energy at an average rate of 2.0 × 10⁹ W. What would be the mass change in producing enough energy to keep this city running for 21 weeks? (c = 3.00 × 10⁸ m/s)

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Quizplus · Accepted Answer

The total energy consumed can be calculated using the power consumption rate and the time period. The energy (E) is given by E = power × time. Here, power = 2.0 × 10^10 W, and time = 21 weeks = 21 × 7 × 24 × 3600 s. The mass change (Δm) can be found using Einstein's equation, E = Δm c^2. Rearranging for Δm gives Δm = E / c^2. Substituting the given values and calculating gives a mass change of approximately 0.28 kg.

Total Energy: Assume That a Certain City Consumes Electrical Energy