Answer :
To solve the formula [tex]\( W = Fd \)[/tex] for distance [tex]\( d \)[/tex], follow these steps:
1. Start with the given formula:
[tex]\[ W = Fd \][/tex]
Here, [tex]\( W \)[/tex] represents work, [tex]\( F \)[/tex] represents force, and [tex]\( d \)[/tex] represents distance.
2. To isolate [tex]\( d \)[/tex], you need to divide both sides of the equation by [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = \frac{Fd}{F} \][/tex]
3. Simplify the right-hand side of the equation by canceling out [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = d \][/tex]
4. This gives the expression for distance [tex]\( d \)[/tex]:
[tex]\[ d = \frac{W}{F} \][/tex]
Therefore, the correct option is:
[tex]\[ d = \frac{W}{F} \][/tex]
1. Start with the given formula:
[tex]\[ W = Fd \][/tex]
Here, [tex]\( W \)[/tex] represents work, [tex]\( F \)[/tex] represents force, and [tex]\( d \)[/tex] represents distance.
2. To isolate [tex]\( d \)[/tex], you need to divide both sides of the equation by [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = \frac{Fd}{F} \][/tex]
3. Simplify the right-hand side of the equation by canceling out [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = d \][/tex]
4. This gives the expression for distance [tex]\( d \)[/tex]:
[tex]\[ d = \frac{W}{F} \][/tex]
Therefore, the correct option is:
[tex]\[ d = \frac{W}{F} \][/tex]
