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An Earth satellite has its apogee at 3000 km above the surface of Earth and perigee at 600 km above the surface of Earth. At apogee its speed is 750 m/s. What is its speed at perigee? Earth’s radius is 6370 km. Round your answer to one decimal place.

Respuesta :

Answer:

[tex]v_2 = 3750 m/s[/tex]

Explanation:

As we know that when satellite revolve around the Earth then there is no torque about the Earth

So here angular momentum of the Satellite is conserved

So we will have

[tex]mv_1r_1 = mv_2r_2[/tex]

so we have

[tex]v_1 = 750 m/s[/tex]

[tex]r_1 = 3000 km[/tex]

also we have

[tex]r_2 = 600 km[/tex]

now we have

[tex](750) \times (3000) = v_2 (600)[/tex]

[tex]v_2 = 3750 m/s[/tex]

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