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What is the formula to solve for M_1 in terms of Fg, G_2, and r in the equation Fg = GM_1 M_2 / r^2?

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Final answer:

The formula to solve for M₁ in terms of Fg, G₂, and r is M₁ = Fg * r² / (G₂ * M₂).

Step-by-step explanation:

The formula to solve for M₁ in terms of Fg, G₂, and r in the equation Fg = GM₁M₂/r² is:

M₁ = Fg * r² / (G₂ * M₂)

Where:

  • Fg is the gravitational force
  • G₂ is the gravitational constant
  • r is the separation between the two bodies
  • M₂ is the mass of the second body

Substituting these values into the formula will allow you to solve for M₁.

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