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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minPYQ_2018

PhysicsMediumsingle choice

A satellite is revolving around the earth with a kinetic energy $E$ . The minimum addition of kinetic energy needed to make it escape from its orbit is

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Answer:

Solution:

(d): Orbital velocity of satellite, $v_{0} = \frac{GM}{r}$ Kinetic energy, $E = \frac{1}{2} m v_{0}^{2} = \frac{1}{2} \frac{GM m}{r}$ Kinetic energy for escaping, $E^{'} = \frac{1}{2} m v_{e}^{2} = \frac{1}{2} m \frac{2 GM}{r} = \frac{GM m}{r} = 2 E (∵ v_{e} = \frac{2 GM}{r})$ Additional kinetic energy needed $= E^{'} - E = 2 E - E = E$

Stream:AIIMSSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2018

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