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

72 N
72 N

81 N
81 N

8 N
8 N

9 N

Answer 1

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

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

We know that the work done is 216 Joules and that the distance over which the force is applied is 27 meters. We can rearrange the formula to solve for force:

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

Substituting the given values:

\[ \text{Force} = \frac{216 \text{ Joules}}{27 \text{ meters}} = 8 \text{ N} \]

Therefore, the applied force is 8 N.