A point mass (m) is located at the origin. Let (Q) be the flux of the gravitational

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A point mass \(m\) is located at the origin. Let \(Q\) be the flux of the gravitational field \(\mathbf{F}=-G m \frac{\mathbf{e}_{r}}{r^{2}}\) through the cylinder \(x^{2}+y^{2}=R^{2}\) for \(a \leq z \leq b\), including the top and bottom (Figure 18). Show that \(Q=-4 \pi G m\) if \(a

b a m R

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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