Can an expert solve the problem in the picture

The snowblower shown in the drawing is being used clear a path in some wet snow which is $20$ cm deep. The path is $1$ m wide and the density of the snow is estimated to be $200k\frac{g}{m^3}.$ The snow is discharged horizontally, at right angles to the path, through the circular pipe shown. The outlet of the discharge pipe is at $1\mathrm{.}5$ m above the level of the ground. The machine is being pushed at a constant speed of $0\mathrm{.}5\frac{m}{s}$ along the path. State clearly any simplifying assumptions that you need to make to solve the individual parts of problem.

$[4]($a$)$ What is the discharge velocity of the snow, $V_{\text{o}\text{u}\text{r}}$ as it leaves the snowblower?

For the remaining parts of the problem, use a value of $V_{\text{o}\text{u}\text{t}}=15\frac{m}{s}.($Note: This is not necessarily the value you should have obtained in part $($a$)).$

$[8]($b$)$ Estimate the force in the x direction, $F_{\text{p}\text{u}\text{s}\text{t}},$ that is required to push the snowblower.

$[5]($c$)$ Estimate the sideways force that is exerted on the snowblower when it is operating. The rubber tires are intended to prevent the snowblower from sliding under the action of this sideways force. Assume that the layers of snow along the edges of the path do not apply any forces on the blower in the $y$ direction. If the blower started to slide sideways, would it slide in the positive or negative $y$ direction as shown in the drawing? Briefly explain briefly your reasoning.

$[5]($d$)$ Estimate the power, in horsepower, of the motor that must be installed in the machine to drive the rotor that "pumps" the snow. Assume that blower has an efficiency of $50\%.$ Recall that $1$ HP $=745$Watts.

$[22]$