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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialMedium2 minQB

PhysicsMediumsingle choice

Passage / Comprehension

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h where h << R. Also assume a very small hole in the shell at point A.\\

With what approximate speed will it collide at B ?

Options:

Answer:

Solution:

Given that ( $h ≪ R$ ), so the velocity at A' is also zero.

Loss in PE = gain in KE

$∴ \frac{GM m}{2 R} = \frac{1}{2} m v^{2} \Rightarrow v = \frac{GM}{R}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: QB

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