Pena Gross
09/16/2024 · Middle School
Solve the following formula for \( m \) \[ v^{2}=\frac{3 P}{m n} \] A. \( m=\frac{3 P}{v^{2} n} \) B. \( m=\frac{3 n}{v^{2}} \) C. \( m=\frac{3 n}{v^{2} P} \) D. can't be solved for \( m \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the formula \( v^{2} = \frac{3 P}{m n} \) for \( m \), we can start by rearranging the equation.
1. Multiply both sides by \( m n \):
\[
v^{2} m n = 3 P
\]
2. Now, divide both sides by \( v^{2} n \):
\[
m = \frac{3 P}{v^{2} n}
\]
Thus, the correct answer is:
\[
\boxed{A. \, m = \frac{3 P}{v^{2} n}}
\]
Quick Answer
m = 3P / (v²n)
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