IDNLearn.com: Where curiosity meets clarity and questions find their answers. Find reliable solutions to your questions quickly and accurately with help from our dedicated community of experts.
Sagot :
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].
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].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.