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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialMedium2 minPYQ_2019

PhysicsMediumsingle choice

What is the minimum energy required to launch a satellite of mass ‘m’ from the surface of the earth of mass ‘M’ and radius ‘R’ at an attitude 2R?

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Answer:

Solution:

The minimum energy required to launch a satellite from surface of earth is equal to the amount of work done against gravity to move it from the surface of earth to a height h and is given by
$U = W = G M m (\frac{1}{r_{1}} - \frac{1}{r_{2}})$
$= G M m (\frac{1}{R} - \frac{1}{R + h})$
Here, h = 2R
$\Rightarrow U = G M m (\frac{1}{R} - \frac{1}{3 R}) = \frac{2 G M m}{3 R}$

Stream:MHT_CETSubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: PYQ_2019

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