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Question
(071.06 lc) the formula ( w = fd ) shows the relationship between work, force, and distance. solve this formula for distance.
(\bigcirc) a ( d = \frac{w}{f} )
(\bigcirc) b ( d = wf )
(\bigcirc) c ( d = \frac{f}{w} )
(\bigcirc) d ( d = w - f )
Step1: Start with the formula \( W = Fd \)
We need to isolate \( d \) on one side of the equation.
Step2: Divide both sides by \( F \)
To solve for \( d \), we divide both sides of the equation \( W = Fd \) by \( F \) (assuming \( F
eq 0 \)). Using the division property of equality, we get \( \frac{W}{F}=\frac{Fd}{F} \).
Step3: Simplify the right - hand side
Since \( \frac{Fd}{F}=d \) (the \( F \) in the numerator and denominator cancels out, as long as \( F
eq0 \)), we are left with \( d = \frac{W}{F} \).
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a. \( d=\frac{W}{F} \)