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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minQB

PhysicsMediumsingle choice

A planet of mass m revolves around the sun (of mass M) in an elliptical orbit. The semi major axis of the orbit is a. Find out the total mechanical energy of the planet.

Options:

Answer:

Solution:

At the nearest and farthest points $r_{1} = a (1 - e)$ and $r_{2} = a (1 + e)$ , angular momentum gives $v_{1} r_{1} = v_{2} r_{2}$ .

Solving with energy conservation, $E = \frac{1}{2} m v_{1}^{2} - \frac{GM m}{r _{1}} = - \frac{GM m}{2 a}$ . Hence (A).

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: QB

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