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
We can use the work formula to solve this problem. The formula for work is given by W = F * d, where W is the work done, F is the force applied, and d is the distance over which the force is applied.
In this case, we are given that the initial distance is 3 meters, and the final distance is 27 meters. The work done is 216 joules. We need to find the force applied.
Let's assume that the initial force applied is F1 and the final force applied is F2.
According to the work formula, we have:
W = F1 * 3 (for the initial distance of 3 meters)
W = F2 * 27 (for the final distance of 27 meters)
We are also given that W = 216 joules.
So, we can rewrite the equations as:
216 = F1 * 3
216 = F2 * 27
Let's solve for F1 first:
216 = F1 * 3
F1 = 216/3
F1 = 72 joules/meter
Now, let's solve for F2:
216 = F2 * 27
F2 = 216/27
F2 = 8 joules/meter
Therefore, the force applied is 72 joules/meter initially and 8 joules/meter finally.