A satellite is to be moved from a circular orbit of radius to a new circular orbit of…

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

Problem

5.0\times10^{2}\,\text{kg}

satellite is to be moved from a circular orbit of radius

1.5\times10^{7}\,\text{m}

to a new circular orbit of radius

3.0\times10^{7}\,\text{m}

around a planet of mass

8.0\times10^{23}\,\text{kg}

. What is the amount of work that must be done on the satellite to accomplish this transfer? (Use

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

.) (a)

8.9\times10^{8}\,\text{J}

(b)

2.2\times10^{8}\,\text{J}

(c)

4.4\times10^{8}\,\text{J}

(d)

-4.4\times10^{8}\,\text{J}