A skier traveling 11.0 m/s reaches the foot of a steady upward 20 ∘ incline and glides 14 m up along this slope before coming to rest.

What was the average coefficient of friction?

Skier is travelling with a speed of $\"\"$ m/s.

Inclination angle is $\"\"$ .

Skier glides $\"\"$ m along the slope.

After some time, the person comes to rest, hence final velocity is zero.

$\"\"$

Here the negative sign indicates that the object is slowing down.

The skier glides up along a slope of angle of inclination $\"\"$ .

The force acting on the block at equilibrium : \ \

$\"\"$

From the above figure:

Horizontal force : $\"\"$ .

$\"\"$

Vertical force : $\"\"$ .

Frictional force $\"\"$ , therfore $\"\"$ .

Therefore $\"\"$

$\"\"$ .

Substitute corresponding values.

$\"\"$

$\"\"$ .

Therefore coefficient of friction is 0.106.