A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and the work done is 216 Joules. How much force is applied?(1 point)

Question

Responses

9 N
9 N

72 N
72 N

81 N
81 N

8 N
8 N

Answer 1

To determine the force applied, we can use the work formula:

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

In this case, the work done is 216 Joules, and the distance that the force is applied is 27 meters. Rearranging the formula to solve for Force gives us:

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

Now plugging in the values:

\[ \text{Force} = \frac{216 , \text{J}}{27 , \text{m}} = 8 , \text{N} \]

So the applied force is 8 N.

Therefore, the correct response is:

8 N.