Questions: Solve the following formula for the indicated variable. m = g = v / sqrt(m)

Transcript text: Solve the following formula for the indicated variable. m = g = \frac{v}{\sqrt{m}}

Solution

Solution Steps

To solve for \( m \) in the equation \( g = \frac{v}{\sqrt{m}} \), we need to isolate \( m \). Start by squaring both sides to eliminate the square root, then solve for \( m \).

Step 1: Square Both Sides

Start with the equation: \[ g = \frac{v}{\sqrt{m}} \]

Square both sides to eliminate the square root: \[ g^2 = \frac{v^2}{m} \]

Step 2: Solve for \( m \)

Rearrange the equation to solve for \( m \): \[ m = \frac{v^2}{g^2} \]

Final Answer

The solution for \( m \) is: \[ \boxed{m = \frac{v^2}{g^2}} \]

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