A satellite orbits Earth in an ellipse with apogee distance and perigee distance…

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

Problem

A satellite orbits Earth in an ellipse with apogee distance

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

and perigee distance

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

(both measured from Earth’s center). At apogee its speed is

5.20\times10^{3}\,\text{m/s}

. What is its speed at perigee? (Take Earth’s gravitational parameter to be

GM=3.99\times10^{14}\,\text{m}^3\!\!/\!\text{s}^2

.) (a)

5.2\times10^{3}\,\text{m/s}

(b)

1.0\times10^{4}\,\text{m/s}

(c)

7.8\times10^{3}\,\text{m/s}

(d)

3.5\times10^{3}\,\text{m/s}