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.

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

Put the value into the formula

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

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