Physics

Problem

A research satellite is to be placed in a circular orbit

300\,\text{km}

above Earth’s surface. Take

M_{\text{E}}=6.0\times10^{24}\,\text{kg}

R_{\text{E}}=6.4\times10^{6}\,\text{m}

and

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

. a. (i) Calculate the orbital speed of the satellite at the stated altitude. b. (ii) Determine the escape speed from the same altitude and express the orbital speed as a fraction of the escape speed. c. (iii) Find the kinetic energy per unit mass of the satellite in this orbit.

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