Gravitation
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Question : 19
Total: 25
A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence?
Mass of the satellite = 200 kg; mass of the earth= 6.0 × 10 24 kg
radius of the earth= 6.4 × 10 6 m G = 6.67 × 10 – 11 N m 2 kg – 2
Mass of the satellite = 200 kg; mass of the earth
radius of the earth
Solution:
Total energy of orbiting satellite at a height h
= −
+
m v 2
= −
+
m
=
Energy expended to rocket the satellite out of the earth’s gravitational field =– (total energy of the orbiting satellite)
=
=
= 5.9 × 10 9 J
Energy expended to rocket the satellite out of the earth’s gravitational field =– (total energy of the orbiting satellite)
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