Question

the formula for work is ( w = fd ), where: ( w = ) work completed, ( f = ) force, and ( d = ) distance in the direction of force. manipulate the formula to solve for ( f ). ( f = w - d ) ( f = w + d ) ( f = \frac{d}{w} ) ( f = \frac{w}{d} )

Explanation:

Step1: Isolate \( F \)

Given \( W = Fd \), divide both sides by \( d \).
$$\frac{W}{d}=\frac{Fd}{d}$$

Step2: Simplify

Simplify the right - hand side. Since \(\frac{d}{d} = 1\), we get \(F=\frac{W}{d}\).

Answer:

\(F=\frac{W}{d}\)