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The formula for the force between two objects is F=GMm/r^2

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where M and m are the masses of the two objects, G is a constant, and r is the distance between them. Solve the formula for m.

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To solve the formula \( F = \frac{GMm}{r^2} \) for \( m \), we can start by rearranging the equation. Here are the steps:

  1. Multiply both sides by \( r^2 \) to eliminate the fraction: \[ F r^2 = GMm \]

  2. Next, divide both sides by \( G \) to isolate \( m \): \[ \frac{Fr^2}{G} = Mm \]

  3. Finally, divide both sides by \( M \) to solve for \( m \): \[ m = \frac{Fr^2}{GM} \]

Thus, the formula for \( m \) is: \[ m = \frac{Fr^2}{GM} \]