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?

Responses

87 N

252 N

28 N

81 N

1 answer

To find the force that Sarah expends, we can use the formula for work:

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

where:

  • Work is the work done (in Joules),
  • Force is the force applied (in Newtons),
  • Distance is the distance over which the force is applied (in meters).

We can rearrange the formula to solve for Force:

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

Substituting the values we have:

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

Therefore, the amount of force Sarah expends is 28 N.