A horizontal $800.-$N merry$-$go$-$round of radius $1\mathrm{.}50$ m is started from rest by a constant horizontal force of $50\mathrm{.}0$ N applied equivalent of Wnet $=$ F$$x $=1/2$mvf$^2-1/2$mvi$^2$ is Wnet $=$ t$$ $=1/2$If$^2-12$Ii$^2.$ You should convince yourself that this last relationship is correct.