Recall, from this chapter, that the factor

Chapter 17, Problem 46TAS

(choose chapter or problem)

Recall from this chapter that the factor gamma \((\gamma)\) governs both time dilation and length contraction, where

\(\gamma=\frac{1}{\sqrt{1-\left(\frac{v^{2}}{c^{2}}\right)}}\)

When you multiply the time in a moving frame by \(\gamma\), you get the longer (dilated) time in your fixed frame. When you divide the length in a moving frame by \(\gamma\), you get the shorter (contracted) length in your fixed frame.

The fractional change of reacting mass to energy in a fission reactor is about 0.1%, or 1 part in a thousand. For each kilogram of uranium that is totally fissioned, how much energy is released? If energy costs 3 cents per megajoule, how much is this energy worth in dollars?