Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 27 - Early Quantum Theory and Models of the Atom - General Problems - Page 801: 79

Answer

Yes, the gravitational force may be reasonably ignored.

Work Step by Step

As requested, calculate the ratio of the 2 forces. $$\frac{F_{grav}}{F_{electric}}=\frac{GM_em_p/r^2}{ke^2/r^2}=\frac{GM_em_p}{ke^2}$$ $$=\frac{(6.67\times10^{-11}Nm^2/kg^2)(9.11\times10^{-31}kg)(1.67\times10^{-27}kg) }{(9.00\times10^9Nm^2/C^2) (1.60\times10^{-19}C)^2}$$ $$=4.40\times10^{-40} $$ Yes, this ratio is so tiny that the gravitational force may be reasonably ignored.
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