A snowplow mounted on a truck clears a path \(12 \mathrm{ft}\) through heavy wet snow, as shown in Figure P5.80. The snow is 8 in. deep and its density is \(10 \mathrm{lbm} / \mathrm{ft}^{3}\). The truck travels at \(30 \mathrm{mph}\). The snow is discharged from the plow at an angle of \(45^{\circ}\) from the direction of travel and \(45^{\circ}\) above the horizontal, as shown in Figure P5.80. Estimate the force required to push the plow.

Figure P5.80

0=45 (in plane of blade) d = 8 in. U = 30 mph