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What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?A. `5/3mgR`B. `4/3mgR`C. `5/6mgR`D. `5/4mgR` |
Answer» Correct Answer - C Total energy `E=1/2mv^(2)-(GmM)/r` `=(GmM)/(2r)-(GMm)/r=-G(mM)/(2r)` `r=2R=R=3R` `E=(GmM)/(6R)` Potential energy `=-(GMm)/R` Minimum energy required `=1/6(GMm)/R-((-GMm)/R)=5/6(GMm)/R` |
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