A nuclear-powered generator aboard a satellite is expected to deliver 25 W for at least 1 year. The amount of matter converted to energy during the lifetime of the satellite is

Question

Quizplus · Accepted Answer

Using Einstein's equation $E=mc^2$, the energy required is $25 \, \text{W} \times 1 \, \text{year} = 7.884 \times 10^8 \, \text{J}$. Solving for mass $m$, $m = \frac{E}{c^2} = \frac{7.884 \times 10^8}{(3 \times 10^8)^2} \approx 8.76 \times 10^{-9} \, \text{kg} = 9 \, \mu\text{g}$.

A Nuclear-Powered Generator Aboard a Satellite Is Expected to Deliver μ\muμ

A Nuclear-Powered Generator Aboard a Satellite Is Expected to Deliver $\mu$