Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialMedium2 minPYQ_2020

PhysicsMediumsingle choice

The escape velocity from a planet is $v_{e}$ . A tunnel is dug along a diameter of the planet and a small body is dropped into it at the surface. When the body reaches the centre of the planet, its speed will be

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Answer:

Solution:

$\frac{1}{2} mv_{e}^{2} = \frac{GMm}{R}; v_{e} = \frac{GMm}{R} = 2 gR$ In tunnel body will perform SHM at centre $V_{max} = A ω$ (see chapter on SHM) $= \frac{R 2 π}{2 π R / g} = gR = \frac{v _{e}}{2}$

Stream:BITSATSubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: PYQ_2020

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