Consider the law of gravitational attraction. two spheres with a mass, m, are attracted to each other by a force, f. if the distance between the two spheres doubles while the masses remain constant, will the force between the two spheres change? if yes, how? a) yes, the force decreases by 1/4. b) yes. the force decreases by 1/2. c) yes, the forces decreases by 1/16. d) no. the force remains constant because the masses remain constant.

➷ The correct option would be A. Yes, the force decreases by 1/4. As you can imagine, the force of attraction would decrease due to the distance increasing. Think about it like two magnets. As you increase the distance, the force of attraction becomes weaker.

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By the law of gravitational attraction, two spheres with a mass, M, are attracted to each other by a force, F which is inversely proportional to the square of the separating distance, d.

If the distance between the two spheres doubles while the masses remain constant, the force will decrease by (1/2)^2 = 1/4.

The answer is A) Yes, the force decreases by 1/4.