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)

Question

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.