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Physics
Physics
Problem
Show that, for heights
h
h
h
that are very small compared with the Earth’s radius
R
R
R
, the fractional decrease in the acceleration due to gravity is approximately
2
h
R
\dfrac{2h}{R}
R
2
h
when terms beyond first order in
h
R
\dfrac{h}{R}
R
h
are neglected.
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