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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minQB

PhysicsMediumsingle choice

Consider a long heavy object of linear mass density $λ$ in free space. A small particle of mass m is orbiting this long object at a distance r from its axis as shown. The time period of revolution and kinetic energy of the particle will be:-

Options:

Answer:

Solution:

By analogy with Gauss Theorem; in gravitation, we have

$m r ω^{2}$ or $\frac{m v ^{2}}{r} = m \times \frac{2 G λ}{r}$ ...(1)

$\Rightarrow T = π r \frac{2}{λ G}$

also from equation (1)

$KE = \frac{1}{2} m v^{2} = λ G m$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: QB

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