Problem $3)(10$ Points$)$ A couple summers ago Dr$.$ Taub and his wife went on a day trip to Geneva

Switzerland, a city on the shores of Lake Geneva. $($They took a train from Lyon in France.$)$

There they visited, Le Jet D$$eau de Gen$$ve$,$ or The Water Jet of Geneva. See Dr$.$ Taub$$s

vacation photos below

The $$monument$$ consists of a water jet that shoots water $140$ in the air at a rate of $500$

$.$

Water exits the pumps at a speed of $188\mathrm{.}7/.$ The water in Lake Geneva is

approximately $24\mathrm{.}3\backslash$deg C$.$

A$.$ Assuming the electrically driven pumps that drive the water jet have an

efficiency $=0\mathrm{.}85,$ calculate how much electrical power in $$ is used to operate

the monument.

B$.$ According to a quick web search the typical Swiss household uses $4500$ of

electricity a year. Using this figure, on average, how many Swiss homes could be

powered by the power currently being used to operate the water jet. The

monument operates continuously.

$($Switzerland produces almost all of its electricity from hydroelectric and nuclear. Only about $5\%$ is produced from

wood burning or waste incineration, the only power sources they use that would not be considered carbon free.$)$