Gravity Earth and moon again

Classical Mechanics Level 3

The distances between the centers of the Earth and the Moon is d.

The mass of Earth is 81 times the mass of Moon.

d 5 n \frac{d}{5n} is the distance from the center of the Moon on the line joining the centers of the Earth and the Moon where the weight of an object is zero.

Find the value of n.

for more such questions, try my set GRAVITY

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Sravanth C. by Sravanth C. , 21, India

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2 solutions

Rohit Ner
Feb 20, 2015

4 Helpful 0 Interesting 0 Brilliant 0 Confused

That's what I had expected. . . Upvoted!

Sravanth C. - 6 years, 3 months ago
Tyler Cooke
Jun 28, 2015

Static equilibrium between earth and moon. Take the mass of a random object to be mo, its distance from the moon to be d/5n, and its distance from earth to be d-d/5n. Take the force of gravity by the moon on the object to be (G(Mm)(mo))/(d/5n)^2. Take the force of gravity on the object due to earth to be (G(81Mm)(mo))/(d-d/5n)^2. Equate the two,

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