Questions: Solve for (m). [ a=fracFm m=llbracket ]

$Solve for (m). [ a=fracFm m=llbracket ]$

Transcript text: Solve for $m$. \[ \begin{array}{c} a=\frac{F}{m} \\ m=\llbracket \end{array} \]

Solution

Solution Steps

To solve for $ m $ in the equation $ a = \frac{F}{m} $, we need to isolate $ m $ on one side of the equation. This can be done by multiplying both sides of the equation by $ m $ and then dividing both sides by $ a $.

Step 1: Given Equation

We start with the equation relating acceleration $ a $, force $ F $, and mass $ m $: \[ a = \frac{F}{m} \]

Step 2: Rearranging the Equation

To isolate $ m $, we multiply both sides by $ m $: \[ a \cdot m = F \] Next, we divide both sides by $ a $: \[ m = \frac{F}{a} \]

Step 3: Substituting Values

We substitute the given values $ a = 5 $ and $ F = 20 $ into the equation: \[ m = \frac{20}{5} \]

Step 4: Calculating the Result

Calculating the right-hand side gives: \[ m = 4.0 \]

Final Answer

Thus, the value of $ m $ is \[ \boxed{m = 4.0} \]

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