Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 43 - Energy from the Nucleus - Problems - Page 1332: 37a

Answer

$$4.3 \times 10^{9} \mathrm{kg} / \mathrm{s} $$

Work Step by Step

Let $\quad$ $\quad\quad$ mass of the Sun is $M$ $\quad\quad$ time is $t$ $\quad\quad$ and the energy radiated to that time be $E$. Therefore, power output will be: $$ P=d E / d t=(d M / d t) c^{2} $$ where $E=M c^{2}$ is used. At present time, $$ \frac{d M}{d t}=\frac{P}{c^{2}}=\frac{3.9 \times 10^{26} \mathrm{W}}{\left(2.998 \times 10^{8} \mathrm{m} / \mathrm{s}\right)^{2}}=4.3 \times 10^{9} \mathrm{kg} / \mathrm{s} $$
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