Force and Work Relationships Quick \( \begin{array}{l}\text { What is the mathematical relationship between force and work? (1 point) } \\ W=F \times d \\ W=\frac{F}{d} \\ W=F \times a \\ W \times d=F\end{array} \)
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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!