What is the effect of gravitational force between two bodies if the separation between them doubled?

What is the effect of gravitational force between two bodies if the separation between them doubled?

Text Solution

Solution : when distance (d) between two bodies is a double, the gravitational force of attraction between them becomes one fourth. To keep this force constant, mass of one of the bodies has to be made 4 times.

What is the effect of gravitational force between two bodies if the separation between them doubled?

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The correct answer is decreases.

What is the effect of gravitational force between two bodies if the separation between them doubled?
Key Points

  • If the distance between two particles is increased, then what is the effect on the gravitational force between them decreases.
    • Since the gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
    • So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
  • Newton's law of universal gravitation
    • \(F= {G (m1 * m2 )\over{r^2}}\)
      • F = force
      • G = gravitational constant
      • m1 = mass of object 1
      • m2 = mass of object 2
      • r = distance between centres of the masses

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