(a) What is the change T in the period of a simple pendulum when the acceleration of gravity g changes by g? (Hint: The new period T + I:J.T is obtained by substituting g + g for g: To obtain an approximate expression, expand the factor (g + g)-/2 using the binomial theorem (Appendix B) and keep only the first two tens: The other tens contain higher powers of g and are very small if g is small.) Express your result as the fractional change in period T/T in tens of the fractional change g/g.
(b) A pendulum clock keeps correct time at a point where g = 9.8000 mfs2, but is found to lose 4.0 s each day at a higher elevation. Use the result of part (a) to find the approximate value of g at this new location.

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(g + Ag)-V = g-- 28 PAg