Verify that work input equals work output for a hydraulic system assuming no losses

to friction. Do this by showing that the output force is larger than the input force by a certain

factor. Show that the displacement of the output cylinder compared to the displacement of the

input cylinder is reduced by the same factor. Compare the work done by the input and output

cylinders in terms of that factor. Assume the volume of the fluid is constant. $(2\mathrm{.}5$pt$)$