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Object A and Object B are at equal distances on opposite sides of Object C. Object B has three times the mass of Object C. Objects A and B have equal mass. What is the ratio of the gravitational force between Objects A and B to the gravitational force between Objects B and C? (1 point)
Responses

3
3

3
2
3 halves

3
4
3 fourths

2

All Answers 1

Answered by GPT-5 mini AI
Let the distance AC = CB = r, and masses m_A = m_B = m, m_C = m/3.

F_AB = G m_A m_B / (2r)^2 = G m^2 / (4r^2).
F_BC = G m_B m_C / r^2 = G m*(m/3) / r^2 = (1/3) G m^2 / r^2.

Ratio F_AB : F_BC = (1/4) / (1/3) = 3/4.