Fundamentals of Physics Extended (10th Edition)

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

Chapter 13 - Gravitation - Problems - Page 379: 8a

Answer

The magnitude of the net gravitational force on sphere B is $~~2.13\times 10^{-8}~N$

Work Step by Step

We can find the y-component of the gravitational force on B: $F_y = \frac{G~m_A~m_B}{d_1^2}$ $F_y = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(5.00~kg)(5.00~kg)}{(0.300~m)^2}$ $F_y = 1.853\times 10^{-8}~N$ We can find the x-component of the gravitational force on B: $F_x = \frac{G~m_C~m_B}{d_2^2}$ $F_x = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(5.00~kg)(5.00~kg)}{(0.400~m)^2}$ $F_x = 1.042\times 10^{-8}~N$ We can find the magnitude of the net gravitational force on sphere B: $F = \sqrt{F_x^2+F_y^2}$ $F = \sqrt{(1.042\times 10^{-8}~N)^2+(1.853\times 10^{-8}~N)^2}$ $F = 2.13\times 10^{-8}~N$ The magnitude of the net gravitational force on sphere B is $~~2.13\times 10^{-8}~N$
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