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?

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

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