Final answer:
To find the value of M in the equation F=(GmM)/(r²), multiply both sides by r² to get Fr² = GmM. Then, divide both sides by Gm to isolate M, giving M = Fr²/Gm.
Step-by-step explanation:
The question requires us to rearrange the formula F=(GmM)/(r²) to solve for M. We start by multiplying both sides of the equation by r², giving us Fr² = GmM. Then, we isolate M by dividing both sides of the equation by Gm, resulting in M = Fr²/Gm. This equation now tells us the value of M, assuming we know the values for F (the gravitational force), r (the distance between the two objects), G (the gravitational constant), and m (the mass of the first object).
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