Calculate the deceleration of a snow boarder going up a 5.0º, slope assuming the coefficient of friction for waxed wood on wet snow. The result of Exercise 5.9 may be useful, but be careful to consider the fact that the snow boarder is going uphill. Explicitly show how you follow the steps in Problem-Solving Strategies.

Exercise 5.9:

Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk = µkN ) is a = g( sin θ − µk cos θ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (µk = 0).

Problem 10PE

Solution 10 PE

Step 1 of 3:

In this question, we need to find the deceleration of snow board, which is going up the slope

Data given

Angle of inclination

Coefficient of friction for waxed wood on wet snow

Step 2 of 3 :

We shall consider a free body diagram of the question here

We get