A $2000$ kg elevator rises from rest in the basement to the fourth floor, a distance of $25$m$.$ As it passes the fourth floor its speed is $3$m$/$sec$.$ There is a constant frictional force of $500$N$.$ Calculate the work exerted against friction. Choices a$.11\mathrm{.}5$ ft lb b$.12\mathrm{.}5$ ft$-$lb c$.9218$ ft$-$lb d$.12405$ ft$-$lb