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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020

PhysicsEasysingle choice

The mass of earth is 81 times the mass of the moon and the distance between their centres is $R$ . The distance from the centre of the earth where gravitational force will be zero is

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Answer:

Solution:

$M_{E} = 81 M_{M}$ Let at a distance $x$ from the earth, the gravitational force is zero. $∴ \frac{G M _{E}}{x ^{2}} = \frac{G M _{m}}{( R - x ) ^{2}} \frac{G 81 M _{m}}{x ^{2}} = \frac{G M _{m}}{( R - x ) ^{2}} \frac{81}{x ^{2}} = \frac{1}{( R - x ) ^{2}} \frac{9}{x} = \frac{1}{R - x} 9 (R - x) = x 9 R = 10 x x = \frac{9}{10} R$

Stream:MHT_CETSubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2020

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