Fundamentals of Physics Extended (10th Edition)

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

Chapter 44 - Quarks, Leptons, and the Big Bang - Problems - Page 1364: 36

Answer

$$ 102 M_{s} $$

Work Step by Step

From $$F_{\text {grav }}=G M m / r^{2}=m v^{2} / r $$ $\text { we find } M \infty v^{2}$ $ \text { Thus, the mass of Sun would be } $ $$ M_{s}^{\prime}=\left(\frac{v_{\text {Mercury }}}{v_{\text {Pluto }}}\right)^{2} M_{s}=\left(\frac{47.9 \mathrm{km} / \mathrm{s}}{4.74 \mathrm{km} / \mathrm{s}}\right)^{2} M_{s}=102 M_{s} $$
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