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A backcountry skier weighing 700 N skis down a steep slope, unknowingly crossing a snow bridge that spans a deep, hidden crevasse. The bridge can support 470 N − meaning that's the maximum normal force it can sustain without collapsing.

Respuesta :

Answer:

The minimum slope angle for which the skier can safely traverse the snow bridge is 47.82°

Explanation:

Given that,

Weight = 700 N

Normal force = 470 N

Suppose, Find the minimum slope angle for which the skier can safely traverse the snow bridge.

We need to calculate the minimum slope angle

Using balance equation

[tex]F_{N}=mg\cos\theta[/tex]

[tex]\theta=\cos^{-1}(\dfrac{F_{N}}{mg})[/tex]

Put the value into the formula

[tex]\theta=\cos^{-1}(\dfrac{470}{700})[/tex]

[tex]\theta=47.82^{\circ}[/tex]

Hence, The minimum slope angle for which the skier can safely traverse the snow bridge is 47.82°

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