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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minPYQ_2016

PhysicsMediumsingle choice

A satellite of mass $m$ is orbiting the earth (of radius $R$ ) at a height $h$ from its surface. The total energy of the satellite in terms of $g_{o}$ , the value of acceleration due to gravity at the earth's surface, is

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Answer:

Solution:

The total energy of a satellite in the orbit is

$E = - \frac{G M m}{2 r}$

$r = R + h$

$g_{0} = \frac{G M}{R^{2}}$
$\Rightarrow E = - \frac{m g_{0} R^{2}}{2 (R + h)}$

Stream:NEETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2016

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