Question #163642

Define gravitational potential.

 

Derive its expression at the earth's surface and show that its value here is approximate -63MJkg-1.

1
Expert's answer
2021-02-23T10:06:29-0500

Answer

gravitational potential defined as the potential energy of a particle of unit mass at that point due to the gravitational force exerted by earth.


gravitational potential at surface of the earth is given by

g=GMeReg=\frac{GM_e}{R_e}


g=(6.67×1011)(5.972×1024)6378100g=62.45MJkg1g=\frac{(6.67\times10^{-11})(5.972\times10^{24})}{6378100}\\g=62.45MJkg^{-1}

Or

g=63MJkg1g=63MJkg^{-1}



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