**Part A**

Energy, E:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{m}}{{\mathbf{c}}}^{{\mathbf{2}}}}$

m = E/c^{2}

Part A

Assume that an average city uses about 8.5x 10^{13} J of energy in a day.

A typical nuclear power plant converts 0.01% of the mass of its fuel into energy through nuclear reactions.

How much fuel would be needed to power an average city for one day?

Express the mass of fuel needed in kilograms to two significant figures.

Part B

A fission-based nuclear bomb (such as those used in World WarII) uses the same nuclear reactions and an amount of fuel similar to what you calculated in Part A. However, by allowing an uncontrolled chain reaction to occur, all of the bomb's energy can be released in about 1.0 x 10^{-6}s.

What is the average power P_{avg} of such a nuclear bomb?