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Zielflug [23.3K]
3 years ago
15

The gravitational force produce between any two object kept 2.5×10 to the power 4 km apart is 580N.At what distance should they

kept so that the grqvitation force becomes half.​
Physics
1 answer:
timofeeve [1]3 years ago
3 0

Answer:

d = 3.54 x 10⁴ Km

Explanation:

Given,

The distance between the two objects, r = 2.5 x 10⁴  Km

The gravitational force between them, F = 580 N

The gravitational force between the two objects is given by the formula

                                         F = GMm/r² newton

When the gravitational force becomes half, then the distance between them becomes

Let us multiply the above equation by 1/2 on both sides

                                        ( 1/2) F = (1/2) GMm/r²

                                                   =  GMm/2r²

                                                   =  GMm/(√2r)²

Therefore, the distance becomes √2d, when the gravitational force between them becomes half

                                           d = √2r = √2 x 2.5 x 10⁴  Km

                                               = 3.54 x 10⁴  Km

Hence, the two objects should be kept at a distance, d = 3.54 x 10⁴  Km so that the gravitational force becomes half.

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