Both the electrical force and the gravitational force between two objects share which relationship?

They are directly proportional to mass.
They are inversely proportional to the square of the distance.
They are inversely proportional to charge.
They are directly proportional to the square of the distance.

1 answer

Both the electrical force and the gravitational force between two objects share the relationship that they are inversely proportional to the square of the distance.

This means that the force decreases with the square of the distance between the two objects:

  • For gravitational force: \( F_g = G \frac{m_1 m_2}{r^2} \)
  • For electrostatic force (Coulomb's Law): \( F_e = k \frac{q_1 q_2}{r^2} \)

Where \( m_1 \) and \( m_2 \) are the masses, \( q_1 \) and \( q_2 \) are the charges, \( r \) is the distance between the centers of the two objects, \( G \) is the gravitational constant, and \( k \) is Coulomb's constant.

Therefore, the correct relationship is: They are inversely proportional to the square of the distance.

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