The gravitational force between two objects is given by Newton's law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This is often written in mathematical form as:

F = G * (m1 * m2 / r^2)

where:
F is the force between the masses,
G is the gravitational constant,
m1 and m2 are the two masses, and
r is the distance between the centers of the two masses.

If the separation (r) is doubled, then the new force (F') is given by:

F' = G * (m1 * m2 / (2r)^2)
= G * (m1 * m2 / 4r^2)
= F / 4

So, if the separation between the two objects is doubled, the gravitational force between them becomes one fourth as much.

Question

The gravitational force between two objects is given by Newton's law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This is often written in mathematical form as:

F = G * (m1 * m2 / r^2)

where:
F is the force between the masses,
G is the gravitational constant,
m1 and m2 are the two masses, and
r is the distance between the centers of the two masses.

If the separation (r) is doubled, then the new force (F') is given by:

F' = G * (m1 * m2 / (2r)^2)
   = G * (m1 * m2 / 4r^2)
   = F / 4

So, if the separation between the two objects is doubled, the gravitational force between them becomes one fourth as much.

Knowee AI · Accepted Answer

The gravitational force between two objects is given by Newton's law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This is often written in mathematical form as:

F = G * (m1 * m2 / r^2)

where:
F is the force between the masses,
G is the gravitational constant,
m1 and m2 are the two masses, and
r is the distance between the centers of the two masses.

If the separation (r) is doubled, then the new force (F') is given by:

F' = G * (m1 * m2 / (2r)^2)
   = G * (m1 * m2 / 4r^2)
   = F / 4

So, if the separation between the two objects is doubled, the gravitational force between them becomes one fourth as much.

What happens to the gravitational force between two objects if their separation is doubled? The force of attraction is half as much one fourth as much. doubled the same

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