A satellite of mass `1000 kg` is rotating around the earth in a circular orbit of radius `3R`. What extra energy should be given to this satellite if it is to be lifted into an orbit of radius `4R`?
Text Solution
AI Generated Solution
To find the extra energy required to lift a satellite from an orbit of radius \(3R\) to an orbit of radius \(4R\), we can follow these steps:
### Step 1: Calculate the Initial Energy (E_i)
The gravitational potential energy \(E\) of a satellite in a circular orbit is given by the formula:
\[
E = -\frac{GMm}{2r}
\]
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