A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is ______ 
.
(Mass of earth 
, Radius of earth 
, Gravitational constant 
)
Text Solution
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The kinetic energy (KE) of a satellite revolving around the Earth can be expressed with the following formula:
For this satellite, the radius 
is the sum of the Earth's radius 
and the height 
above the Earth's surface:
Given:
Mass of the satellite, 
Mass of the Earth, 
Radius of the Earth, 
Height of orbit above the Earth's surface,
Gravitational constant,
Substitute these values into the equation:
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