The gravitational force (F ) felt by an object (m1) due to another object (m2) at a distance d is given by F = G m1m2/r2.

what is the value of r?

Respuesta :

Lanuel

Based on the equation for gravitational force, the value of radius (r) is equal to r = √(GM₁M₂/F).

What is a gravitational force?

A gravitational force can be defined as a universal force of attraction which acts between two (2) physical objects, especially by pulling them together.

How to calculate the gravitational force?

Mathematically, the gravitational force between two (2) planetary objects is given by this formula:

F = GM₁M₂/r²

Where:

  • r represents the radius or mean distance.
  • G represents the gravitational constant.
  • M represents the mass.
  • F represents the gravitational force.

Making r the subject of formula, we have:

Fr² = GM₁M₂

Divide both sides by F, we have:

r² = GM₁M₂/F

Taking the square root of both sides, we have:

r = √(GM₁M₂/F)

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