To solve the formula [tex]\( W = Fd \)[/tex] for distance [tex]\( d \)[/tex], we need to isolate [tex]\( d \)[/tex] on one side of the equation. Here are the steps:
1. Start with the given equation:
[tex]\[
W = Fd
\][/tex]
Here, [tex]\( W \)[/tex] stands for work, [tex]\( F \)[/tex] represents force, and [tex]\( d \)[/tex] is the distance.
2. To isolate [tex]\( d \)[/tex], you need to eliminate the multiplication by [tex]\( F \)[/tex] on the right side of the equation. To do this, divide both sides of the equation by [tex]\( F \)[/tex]:
[tex]\[
\frac{W}{F} = \frac{Fd}{F}
\][/tex]
3. On the right side of the equation, the [tex]\( F \)[/tex] terms cancel each other out:
[tex]\[
\frac{W}{F} = d
\][/tex]
4. Rewriting it to present the solution for [tex]\( d \)[/tex]:
[tex]\[
d = \frac{W}{F}
\][/tex]
Thus, the correct formula for distance [tex]\( d \)[/tex] is:
[tex]\[
d = \frac{W}{F}
\][/tex]
The other options given ([tex]\( d = W F \)[/tex], [tex]\( d = \frac{F}{W} \)[/tex], and [tex]\( d = W - F \)[/tex]) are incorrect as they do not correctly isolate [tex]\( d \)[/tex] while maintaining the relationship described by the equation [tex]\( W = Fd \)[/tex].
