QQuestionPhysics
QuestionPhysics
"The formula to calculate the gravitational force between two objects is:
Fg = GM^1M^2 /r^2
where M^1 and M^2 are the masses of the objects, G is the gravitational constant, and r is the distance between the objects.
Solve for M^1 in terms of Fg, G, M^2 and r
Answer: M^1 = ?"
11 months agoReport content
Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Start with the original gravitational force equation
F_{g} = \frac{G M_{1} M_{2}}{r^{2}}
Step 3:: Rearrange the equation to isolate M^1
Multiply both sides by $$r^{2}$$ to isolate the terms with M1
F_{g} \cdot r^{2} = G M_{1} M_{2}
Step 4:: Divide both sides by (G M2)
\frac{F_{g} \cdot r^{2}}{G M_{2}} = M_{1}
Step 5:: Simplify the rearranged equation
M_{1} = \frac{F_{g} \cdot r^{2}}{G M_{2}}
Final Answer
This solution demonstrates how to algebraically rearrange the gravitational force equation to solve for M^1, expressing it in terms of the gravitational force (Fg), gravitational constant (G), the other mass (M2), and the distance between the objects (r).
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