TS EAMCET · Physics · Gravitation
A launching vehicle carrying an artificial satellite of mass \(m\) is set for launch on the surface of the earth of mass \(M\) and radius \(R\). If the satellite is intended to move in a circular orbit of radius \(7 R\), the minimum energy required to be spent by the launching vehicle on the satellite is \((\) Gravitational constant \(=G\) )
- A \(\frac{G M m}{R}\)
- B \(-\frac{13 G M m}{14 R}\)
- C \(\frac{G M m}{7 R}\)
- D \(\frac{G M m}{14 R}\)
Answer & Solution
Correct Answer
(B) \(-\frac{13 G M m}{14 R}\)
Step-by-step Solution
Detailed explanation
The energy of artificial satellite at the surface of the earth \(E_1=-\frac{G M m}{R}\) When the satellite is intended to move in a circular orbit of radius \(7 R\), then energy of artificial satellite \(E_2=-\frac{1}{2} \frac{G M m}{7 R}\) The minimum energy required…
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