Calculate the extra mechanical energy that must be supplied to place a satellite from…

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

Problem

Calculate the extra mechanical energy that must be supplied to place a

2000\,\text{kg}

satellite from rest on Earth’s surface (radius

6.4\times10^{6}\,\text{m}

) into a circular orbit

8.0\times10^{6}\,\text{m}

above the surface. Take

GM_{\oplus}=3.99\times10^{14}\,\text{m}^{3}\,\text{s}^{-2}

. (a)

7.0\times10^{10}\,\text{J}

(b)

2.8\times10^{10}\,\text{J}

(c)

9.7\times10^{10}\,\text{J}

(d)

1.3\times10^{11}\,\text{J}