The Total solution for NCERT class 6-12
A satellite orbits the earth at a height of400 km above the surface. How much energy must be expended to rocket thesatellite out of the earth’s gravitational influence? Mass of the satellite =200 kg; mass of the earth = 6.0 ×1024 kg; radius of theearth = 6.4 ×106 m; G = 6.67 × 10–11 N m2 kg–2.
Mass of the Earth, M = 6.0× 1024 kg
Mass of the satellite, m =200 kg
Radius of the Earth, Re = 6.4 × 106 m
Universal gravitational constant, G = 6.67 ×10–11 Nm2kg–2
Height of the satellite, h =400 km = 4 × 105 m = 0.4 ×106 m
The negative signindicates that the satellite is bound to the Earth. This is called bound energyof the satellite.
Energy required to sendthe satellite out of its orbit = – (Bound energy)