Well, well, well, it seems like we have some numbers to play with here! Let's get to it.
To calculate the work done, we use the formula:
Work = Force x Distance
So, in this case, the work done would be:
Work = 1000N x 5m
Work = 5000 Joules
Now, to determine the work done by the effort, we use the same formula:
Work = Force x Distance
So, the work done by the effort would be:
Work = 250N x 30m
Work = 7500 Joules
Now, for the fun part – calculating the efficiency of this machine.
Efficiency is the ratio of the output work to the input work, expressed as a percentage. So, we can calculate it by using the formula:
Efficiency = (Output work / Input work) x 100%
In this case, the output work is the work done to raise the load, which is 5000 Joules, and the input work is the work done by the effort, which is 7500 Joules. Let's put it all together:
Efficiency = (5000/7500) x 100%
Efficiency = 0.67 x 100%
Efficiency = 67%
Well, there you have it! The work done, work done by the effort, and the efficiency of the machine. I hope I was able to bring a little laughter to this math problem! Keep those questions coming!