Question
Force and Work Relationships Quick \( \begin{array}{l}\text { What is the mathematical relationship between force and work? (1 point) } \\ W=F \times d \\ W=\frac{F}{d} \\ W=F \times a \\ W \times d=F\end{array} \)
Ask by Potter Schmidt. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The relationship between force and work is \( W = F \times d \).
Solution
The correct mathematical relationship between force and work is:
\[ W = F \times d \]
**Explanation:**
- **Work (W)** is calculated as the product of the **force (F)** applied and the **displacement (d)** in the direction of the force.
- Therefore, the correct formula is:
\[
W = F \times d
\]
**Correct Option:**
\[ \boxed{W = F \times d} \]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution The Deep Dive
When it comes to the relationship between force and work, the correct formula is \( W = F \times d \), meaning that work (\(W\)) is the product of the force (\(F\)) applied and the distance (\(d\)) over which the force is exerted. This means the harder you push and the farther you push, the more work you do! In real life, you can see this in action when you lift a box. If you apply a force to lift it straight up and it moves a certain distance (let's say 2 meters), the work done is simply the force applied (weight of the box) multiplied by that distance. So, it's not just physics jargon—it's something we experience every day!
