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A satellite orbits the earth at a height...

A satellite orbits the earth at a height 'R' from the surface. How much energy must be expended to rocket the satellite out of earth's gravitational influence?

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To solve the problem of how much energy must be expended to rocket a satellite out of Earth's gravitational influence when it is orbiting at a height 'R' from the surface, we can follow these steps: ### Step 1: Understand the Situation The satellite is orbiting the Earth at a height 'R' above the surface. The radius of the Earth is denoted as 'R_E'. Therefore, the distance from the center of the Earth to the satellite is: \[ r = R_E + R \] ### Step 2: Calculate the Gravitational Potential Energy (U) The gravitational potential energy (U) of the satellite in orbit is given by the formula: ...
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