Class 11th Overview Physics Physics Gravitation

Determine the 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 3R

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>5</mn> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mn>6</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </math> </span></p>

Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>5</mn> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mn>3</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </math> </span></p>

Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mn>3</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </math> </span></p>

Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>7</mn> <mi>G</mi> <mi>M</mi> <mi>m</mi> </mrow> <mrow> <mn>8</mn> <mi>R</mi> </mrow> </mfrac> </mrow> </math> </span></p>

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Answered by

Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 4

Detailed Solution:

$U_{i} = - \frac{G M m}{R}$

${(T . E .)}_{f} = - \frac{G M m}{8 R}$

$\Rightarrow E n e r g y = {(T . E)}_{f} - (U_{i})$

$= \frac{7 G M m}{8 R}$

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