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

81 N
81 N

9 N
9 N

72 N

Answer 1

To find the force applied, we can use the work done formula:

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

Rearranging the formula to solve for force gives us:

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

From the information provided:

• Work = 216 Joules
• Distance = 27 meters (the distance the force is applied)

Now we can substitute the values into the formula:

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

So the applied force is 8 N.