QuestionFIGURE 5-38 Problem 26. (II) A child slides down a slide with a $28^{\circ}$ incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.

Studdy Solution
Calculate $\mu_k$ using $\theta = 28^{\circ}$.
- Calculate $\tan(28^{\circ})$. - $\mu_k = \frac{3 \tan(28^{\circ})}{4}$. - Use a calculator to find $\tan(28^{\circ}) \approx 0.5317$. - $\mu_k = \frac{3 \times 0.5317}{4} \approx 0.3988$.
The coefficient of kinetic friction is approximately:
$\boxed{0.3988}$