Chapter 8 - Exercises and Problems - Page 147: 17

$543m$

Work Step by Step

As we know that: $\frac{\Delta g}{g}=\frac{-2\Delta R}{R}$ This can be rearranged as: $n=\Delta R=\frac{-\Delta g R}{g\times2}$ We plug in the known values to obtain: $n=\frac{-(-1.67\times 10^{-3})(6.37\times 10^6)}{2\times 9.8}$ $n=543m$

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