Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 12 - Gravity - Problems and Conceptual Exercises - Page 409: 11

Answer

(a) $F=3.3\times 10^{-9}N$ (b) We know that $F$ and $r$ are inversely proportional, so if the side lengths are doubled, then the gravitational force will be decreased four times.

Work Step by Step

(a) As $F=2\times G\frac{m^2}{r^2}cos30^{\circ}$ We plug in the known values to obtain: $F=2(6.67\times 10^{-11})\frac{(6.75)^2}{(1.25)^2}cos30^{\circ}$ $F=3.3\times 10^{-9}N$ (b) We know that $F$ and $r$ are inversely proportional, so if the side lengths are doubled, then the gravitational force will be decreased four times.
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