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Gravitational fields (A-level only)

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Question 37

A spacecraft is designed to enter a circular orbit of period T T\,T around a spherical planet of mass M M\,M and radius RRR. Which expression gives the altitude h h\,h of the spacecraft above the planet's surface?

h=(GMT24π2)1/3−R h = \left(\frac{GMT^2}{4\pi^2}\right)^{1/3} - R h=(4π2GMT2​)1/3−R
h=(GMT24π2)1/2−R h = \left(\frac{GMT^2}{4\pi^2}\right)^{1/2} - R h=(4π2GMT2​)1/2−R
h=(GMT24π)1/3−R h = \left(\frac{GMT^2}{4\pi}\right)^{1/3} - R h=(4πGMT2​)1/3−R
h=(GMT4π2)1/3−R h = \left(\frac{GMT}{4\pi^2}\right)^{1/3} - R h=(4π2GMT​)1/3−R

Gravitational fields (A-level only) Questions

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