Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionEasy2 minPYQ_2020

PhysicsEasysingle choice

Two satellites, $A$ and $B$ , have masses $m$ and $2 m$ respectively. $A$ is in a circular orbit of radius $R,$ and $B$ is in a circular orbit of radius $2 R$ around the earth. The ratio of their kinetic energies, $\frac{K_{A}}{K_{B}}$ is:

Options:

Answer:

Solution:

$K = \frac{1}{2} m V^{2} = \frac{1}{2} m {(\sqrt{\frac{G M}{R}})}^{2} = \frac{G M m}{2 R} \propto \frac{m}{R}$

$\frac{K_{A}}{K_{B}} = \frac{m_{A}}{m_{B}} \times \frac{R_{B}}{R_{A}} = \frac{m}{2 m} \times \frac{2 R}{R} = 1$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2020

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