the gravitational force between two spheres is 40 n in magnitude. if the amount of each mass doubles, what is the force between the spheres? group of answer choices 80 n 10 n 20 n 160 n



Answer :

The force between the spheres after each mass is doubled is 160N.

Every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.

Coulomb's law of electrical forces, which is used to determine the strength of the electrical force developing between two charged things, is similar to Newton's law of gravitation. The force is inversely proportional to the square of the distance between the bodies under both inverse-square rules.

From newtons law of gravitation, we know that

F = (Gm₁m₂)/ r²

Initially,

Given that F₁ = 40N

F₁ = (Gm₁m₂)/ r²

F₂ = (Gm₁m₂)/ r²

Now, m₁ = 2m₁

m₂ = 2m₂

Thus,

F₂ =  (G * 2m₁ * 2m₂)/ r²

F₂ = 4 F₁

F₂ =  4 * 40N

F₂ = 160 N

The force between the spheres after each mass is doubled is 160N.

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