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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialMedium2 minQB

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A body of mass m is projected vertically upwards from earth's surface with near earth orbital speed. Find the maximum height from earth's surface reached by the body. (Radius of earth = R)

Options:

Answer:

Solution:

Orbital speed at surface: $v_{0} = \frac{GM}{R}$ . At maximum height, KE = 0. Energy conservation:

$- \frac{GM m}{R} + \frac{1}{2} m \frac{GM}{R} = - \frac{GM m}{R + h} \Rightarrow - \frac{GM m}{2 R} = - \frac{GM m}{R + h}$ .

$R + h = 2 R \Rightarrow h = R$ . Hence (D).

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: QB

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