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Solve the Problem g(h)=3.99×1014(6.374×106+h)2g ( h ) = \frac { 3.99 \times 10 ^ { 14 } } { \left( 6.374 \times 10 ^ { 6 } + h \right) ^ { 2 } }

Question 259

Essay

Solve the problem.
-The acceleration due to gravity g (in meters per second per second) at a height h meters above sea level is given
by g(h)=3.99×1014(6.374×106+h)2g ( h ) = \frac { 3.99 \times 10 ^ { 14 } } { \left( 6.374 \times 10 ^ { 6 } + h \right) ^ { 2 } } where 6.374×1066.374 \times 10 ^ { 6 } is the radius of Earth in meters. Death Valley in California is 86 m
below sea level.
a) Find the value of g(h) at Death Valley to four decimal places.
b) Compare the value in (a) to the value of g(h) at sea level.

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