Question

Sarah uses an inclined plant to load a chest into her truck. If she does 84 Joules of work, and the inclined plane is 3 meters long, how much force does she expend?(1 point)
Responses

28 N
28 N

81 N
81 N

87 N
87 N

252 N
252 N

Answer 1

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

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

Where:
- Work is the energy expended (in Joules),
- Force is the force applied (in Newtons),
- Distance is the length of the incline (in meters),
- \(\theta\) is the angle between the force and the direction of motion.

In this case, if we assume that the force is applied parallel to the incline, then \(\cos(\theta) = 1\).

Given:
- Work = 84 Joules
- Distance = 3 meters

We can rearrange the formula to solve for force:

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

Substituting the values:

\[
\text{Force} = \frac{84 \text{ J}}{3 \text{ m}} = 28 \text{ N}
\]

Thus, Sarah expends 28 N of force.

The correct answer is:

**28 N**