A 58-kg skier is going down a slope oriented 35 degree abovethe horizontal. The area of each ski in contact with the snowis 0.13 m2. Determine the pressure that each skiexerts on the snow.

bobbie71G

bobbie71G

Answered question

2021-02-08

A 58-kg skier is going down a slope oriented 35 degree abovethe horizontal. The area of each ski in contact with the snowis 0.13 m2. Determine the pressure that each skiexerts on the snow.

Answer & Explanation

lamusesamuset

lamusesamuset

Skilled2021-02-09Added 93 answers

P=F/S
F=mgcos35
S=0.13 m2
so Pressure can be calculated
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-01Added 2605 answers

To solve this problem we will use a free body diagram that allows us to determine the Normal Force.

In general, the normal force would be equivalent to

N=mgcosθ

Since the skier is standing on two skis, his weight will be divide by two

N=mgcosθ2

Pressure is given as the force applied in a given area, that is

P=FA

Replacing F with N'

P=NA

P=mgcosθ2A

Our values are given as,

m=58 kg

g=9.8m/s2

θ=35

A=0.13m2

Replacing we have that

P=(5.8)(9.8)cos(35)20.13

P=776.01 Pa

Therefore the pressure exerted by each ski on the snow is 776.01 Pa

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