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?

Question

Responses:

8 N

72 N

81 N

9 N

Answer 1

To find the applied force on a simple machine, we can use the formula for work, which is:

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

Here, we know the work done (216 Joules) and the distance over which the force is applied (27 meters).

Let \( F \) be the force applied. We can rearrange the formula to solve for \( F \):

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

Substituting the known values:

\[ F = \frac{216 \text{ Joules}}{27 \text{ meters}} \]

Now we compute:

\[ F = \frac{216}{27} = 8 \text{ N} \]

Thus, the force applied is 8 N.