A snowplow mounted on a truck clears a path (12 mathrm{ft}) through heavy wet snow, as shown

Question:

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