Ask Question
30 August, 19:21

Two objects attract each other gravitationally. If the mass of each object doubles, how does the gravitational force between them change?

+3
Answers (1)
  1. 30 August, 21:57
    0
    The gravitational force between them quadruples

    Explanation:

    According to law of gravitation, the force of attraction (F) between two masses m1 and m2 is directly proportional to the product of the masses and inversely proportional to the square of the distance (r) between them. Mathematically,

    F1 = Gm1m2/r² ... 1

    If their masses doubles, the formula becomes;

    F2 = G (2m1) (2m2) / r²

    F2 = 4Gm1m2/r² ... 2

    Dividing equation 2 by 1, we have;

    F2/F1 = {4Gm1m2/r²}:{Gm1m2/r²}

    F2/F1 = 4Gm1m2/r²*r²/Gm1m2

    F2/F1 = 4

    F2 = 4F1

    The gravitational force between the masses when they doubles quadruples.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Two objects attract each other gravitationally. If the mass of each object doubles, how does the gravitational force between them change? ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers