Physics

Problem

The value of

g

at the Earth’s surface is

9.80\,\text{m\,s}^{-2}

. At an altitude of

5.0\,\text{km}

it is measured to be

9.785\,\text{m\,s}^{-2}

. Treating the change of

g

with altitude as linear in this range, calculate the radius of the Earth.