Physics Homework Help?

Question

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?

Answer 1

Step 1:

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.

Therefore, accerlation is 4.32 m/sec².

Step 2:

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 , therefore .

Therefore horizontal force: .

.

Substitute the corresponding values.

Coefficient of friction is 0.105.

Solution:

Coefficient of friction is 0.105.