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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionHard2 minPYQ_2024

PhysicsHardsingle choice

The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2 R$ from the surface of the earth is:

Options:

Answer:

Solution:

Apply energy conservation, $U_{i} + K_{i} = U_{f} + K_{f} \Rightarrow - \frac{GM m}{R} + K_{i} = - \frac{GM m}{3 R} + \frac{1}{2} m v^{2} \Rightarrow - \frac{GM m}{R} + K_{i} = - \frac{GM m}{3 R} + \frac{1}{2} \times m \times \frac{GM}{3 R} \Rightarrow K_{i} = - \frac{1}{6} \frac{GM m}{R} + \frac{GM m}{R} K_{i} = \frac{5}{6} \frac{GM m}{R}$

Stream:NEETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2024

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