By using a machine an effort of ten newtons moved through a distance of 14metres to raise a load of 180N to height of 5metres. How many times has the machine made work easier?
![By using a machine an effort of ten newtons moved through a distance of 14metres to raise a load of 180N to height of 5metres How many times has the machine mad class=](https://us-static.z-dn.net/files/d52/cb4539c0510f226256b9d001e59ce211.jpg)
Answer: 6.4 times.
Explanation:
First, remember the definition of work as:
W = F*d
where W is work, F is force and d is distance.
The work applied when using the machine is:
W = 10N*14m = 140J
The work that you would apply if you did not use the machine is:
W' = 180N*5m = 900J.
The ratio W'/W is = 900J/140J = 6.4
This means that the machine has made 6.4 times the work easier. (you needed 6.4 times less work to do the task