Question

A snowplow mounted on a truck clears a path 4 m through heavy wet snow, as shown in Figure 3.1. The snow is 0.2 m deep and its density is 160 kg/m3. The truck travels at 48 km/h. The snow is discharged from the plow at an angle of 45° from the direction of travel and 45° above the horizontal. Estimate the force required to push the plow. Neglect the friction force between the plow and the road surface, and any force associated with the air flow. (11 marks) u 48 km/h e 45 d 0.2 m Figure 3.1 A snowplow truck

Answer 1

48 km/h is equal to 13.33 m/s

F = (V2r-Via); dt Velocity of truck is constant V2 Vi U V2r = Ucos45 7 m/s Vir7 m/s Via dm ρx bd U dt -V2

dm 160 x 4 x 0.2 x 13.33 dt 1706.24 kg/.

F=1706.24 x (7+13.33) = 34687.8 Newton