Calculating Drag & Friction on 80kg Skier Down 40° Slope

[Gott_ist_tot]

I have a question where an 80 kg skier goes down a 40 degree snow slope on wooden skis. The skier is 1.8m tall and .4m wide. I use the drag equation and get 53 m/s. However I am not sure how to add friction into this. Any guidance is appreciated. Oh, friction is .06.

I am not looking for an answer only direction. The numbers were put down just in case.

Thank you for your help.

 

[Päällikkö]

$$F_{\mu}=\mu N$$
So the total force downwards (along the slope) must then be - what?

 

[quicknote]

Hello,

I would like to provide some guidance on how to incorporate friction into your calculation of drag on the skier. First, it is important to understand that there are two types of friction at play in this scenario: air friction and surface friction. Air friction, also known as air resistance, is the resistance that the skier experiences as they move through the air. Surface friction, on the other hand, is the resistance that occurs between the skier's wooden skis and the snow surface.

To incorporate air friction into your calculation, you can use the drag equation, which takes into account the velocity of the skier, the density of the air, the cross-sectional area of the skier, and the drag coefficient. In this case, the drag coefficient will depend on the shape and orientation of the skier as they move down the slope. Since the skier is 1.8m tall and 0.4m wide, you can use these dimensions to calculate their cross-sectional area. However, determining the drag coefficient may require more specific information about the skier's position and posture while skiing.

To incorporate surface friction, you can use the coefficient of friction, which is a measure of the resistance between two surfaces in contact. In this case, the coefficient of friction would depend on the type of snow and the condition of the skier's wooden skis. The value of 0.06 you mentioned may be a good estimate, but it is always best to use specific values for the type of snow and ski conditions you are dealing with.

Once you have both the air friction and surface friction values, you can add them together to get the total friction on the skier as they go down the slope. This combined value can then be used in your overall calculation of drag on the skier.

I hope this provides some direction for you in incorporating friction into your calculation. It is important to note that these calculations may not provide an exact answer, as there are many variables at play in this scenario. However, they can help give a general understanding of the forces acting on the skier as they move down the slope.

Best of luck with your calculations!

Sincerely,