Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$roblem $7$: $($a$)$ In the deep space between galaxies, the density of atoms is as low as $10$ toms $\frac{?}{m^3},$ and the temperature is a frigid $2\mathrm{.}7$ K $.$ What is the pressure? $(2$ pt $)$

$PV=mkTP=\frac{m}{v}kT$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$

Problem $1$: 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$)$

$($b$)$ What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving? $(2\mathrm{.}5$pt$)$roblem $7$: $($a$)$ In the deep space between galaxies, the density of atoms is as low as $10$ toms $\frac{?}{m^3},$ and the temperature is a frigid $2\mathrm{.}7$ K $.$ What is the pressure? $(2$ pt $)$

$PV=mkTP=\frac{m}{v}kT$