A toy truck weighing 42 N is placed on a rough, flat surface and a rope is tied to it. The tension in the rope can be increased to \( 20,6 \mathrm{~N} \) before the truck starts to slide. A force of \( 15,4 \mathrm{~N} \) will keep the truck moving at constant speed once it has been set in motion. Determine the coefficients of static and kinetic friction.

To find the coefficients of static and kinetic friction, we can use the following formulas: 1. The coefficient of static friction (\( \mu_s \)) can be calculated using the maximum tension before the truck starts to slide: \[ \mu_s = \frac{F_{s}}{F_{N}} \] where \( F_{s} \) is the force of static friction (which equals the maximum tension just before sliding), and \( F_{N} \) is the normal force (which equals the weight of the truck). So in this case: \[ \mu_s = \frac{20.6 \text{ N}}{42 \text{ N}} \approx 0.49 \] 2. The coefficient of kinetic friction (\( \mu_k \)) can be calculated similarly using the force required to keep the truck moving at constant speed: \[ \mu_k = \frac{F_{k}}{F_{N}} \] where \( F_{k} \) is the force of kinetic friction (which equals the constant force applied to maintain constant speed). So in this case: \[ \mu_k = \frac{15.4 \text{ N}}{42 \text{ N}} \approx 0.37 \] In summary, the coefficient of static friction is approximately 0.49, and the coefficient of kinetic friction is approximately 0.37.