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What happens to the gravitational force between two masses if the distance betwe

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Question: What happens to the gravitational force between two masses if the distance between them is tripled?

Options:

  1. It triples
  2. It becomes one-third
  3. It becomes one-ninth
  4. It remains the same

Correct Answer: It becomes one-ninth

Solution: 

The gravitational force is inversely proportional to the square of the distance. If the distance is tripled, the force becomes 1/(3^2) = 1/9 of the original force.

What happens to the gravitational force between two masses if the distance betwe

Practice Questions

Q1
What happens to the gravitational force between two masses if the distance between them is tripled?
  1. It triples
  2. It becomes one-third
  3. It becomes one-ninth
  4. It remains the same

Questions & Step-by-Step Solutions

What happens to the gravitational force between two masses if the distance between them is tripled?
  • Step 1: Understand that gravitational force depends on the masses and the distance between them.
  • Step 2: Remember the formula for gravitational force: F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them.
  • Step 3: Note that the gravitational force is inversely proportional to the square of the distance (r). This means that if the distance increases, the force decreases.
  • Step 4: If the distance (r) is tripled, it becomes 3r.
  • Step 5: Substitute 3r into the formula: F' = G * (m1 * m2) / (3r)^2.
  • Step 6: Calculate (3r)^2, which is 9r^2.
  • Step 7: Now the new force (F') is F' = G * (m1 * m2) / 9r^2.
  • Step 8: Compare the new force (F') to the original force (F): F' = (1/9) * F.
  • Step 9: Conclude that if the distance is tripled, the gravitational force becomes 1/9 of the original force.
  • Gravitational Force – The gravitational force between two masses is described by Newton's law of universal gravitation, which states that the force is inversely proportional to the square of the distance between the centers of the two masses.
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