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

8 N
8 N

9 N
9 N

81 N
81 N

72 N

Answer 1

To find the force applied using a simple machine, we can use the work done formula:

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

We can rearrange this formula to solve for the force:

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

Here, the work done is 216 Joules, and according to the information provided, the distance over which the force is applied is 27 meters (the new distance after the simple machine increases it).

Now we can plug in the values:

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

So the force applied is 8 N.