This is a resistance equation problem for construction eqiupment.

fatcs: a fully loaded wheeled scraper $($empty weight$=25\mathrm{.}0$ tons; fully loaded weight$=75\mathrm{.}0$ tons$)$ must travel up $2\mathrm{.}5\%$ slope on a muddy haul road. the average penetration of the machine is estimated to be $3\mathrm{.}5$ inches. After dumping the loaded weight, the scraper returns downhill with an emoty weight.

Q$1$: what is the total resistance force in lb$.$ that the machine is going uphill?

Q$2$: determine the effective grade$(\%)$ for the total resistance of goin uphill?

Q$3$: what is the total resistance force in lb$.$ that the machine is coming downhill?

Q$4$: determine the effective grade $(\%)$ for the total resistance of coming downhill?