Q 11-07-007NEETNEET 2024Top questionMedium
The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ from the surface of the earth is:
Answer: (C) $\dfrac{5GmM}{6R}$
Concept. Minimum energy $=$ orbital energy $-$ energy at rest on the surface; orbit radius $3R$.
Step 1. Energies. $E_1 = -\dfrac{GMm}{R}$, $E_2 = -\dfrac{GMm}{6R}$.
Step 2. Difference. $\dfrac{5GMm}{6R}$.
Answer. $\dfrac{5GmM}{6R}$ (Option C).
Solution by Sreeraj P, M.Sc Physics