Question

Sarah uses and included plane to load a chest into her truck. If she does 84 Joules of work, and the inclined plane is 4 meters long, how much force does she expend?(1 point)
Responses

21 N
21 N

28 N
28 N

84 N
84 N

336 N
336 N

Answer 1

To find the force Sarah expends while using the inclined plane, we can use the work formula:

\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]

In this case, if we assume that the force is applied in the direction of the incline, we can simplify it to:

\[
\text{Work} = \text{Force} \times \text{Distance}
\]

We rearrange the formula to solve for Force:

\[
\text{Force} = \frac{\text{Work}}{\text{Distance}}
\]

Given:
- Work = 84 Joules
- Distance (length of the inclined plane) = 4 meters

Now plug in the values:

\[
\text{Force} = \frac{84 \, \text{J}}{4 \, \text{m}} = 21 \, \text{N}
\]

Thus, the amount of force Sarah expends is **21 N**.