Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020
PhysicsEasysingle choice

A spherical uniform planet is rotating about its axis. The velocity of a point on its equator isV. Due to the rotation of the planet about its axis the acceleration due to gravitygat equator is12ofgat poles. The escape velocity of a particle on the planet in terms ofVfrom the pole of the planet is

Options:

Answer:
A
Solution:

g e = g p - R ω 2 g 2 = g - R ω 2

R ω 2 = g 2 R 2 ω 2 = g R 2 V 2 = g R 2 ...(1)

The escape velocity, V e = 2 g R ...(2)

From (1) and (2)

V e = 2 × 2 V 2 V e = 2 V #

Subject:PhysicsTopic:GravitationSubtopic:Field & Force
2mℹ️ Source: PYQ_2020

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