Calculate the gravitational potential at a point from the centre of Earth

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Calculate the gravitational potential at a point

10\,\text{Mm}

from the centre of Earth. Take

M_{\oplus}=5.97\times10^{24}\,\text{kg}

and

G=6.67\times10^{-11}\,\text{N\,m}^2\text{kg}^{-2}

. (a)

-6.0\times10^{7}\,\text{J kg}^{-1}

(b)

+4.0\times10^{7}\,\text{J kg}^{-1}

(c)

-4.0\times10^{7}\,\text{J kg}^{-1}

(d)

-2.4\times10^{7}\,\text{J kg}^{-1}