Forces and Free-Body Diagrams Practice Test

A $12.0,\text{kg}$ box is pulled up a $30^\circ$ incline at constant speed by a rope parallel to the plane; $\mu_k=0.15$. Consider the scenario described above, with kinetic friction opposing the motion and $g=9.8,\text{m/s}^2$. The normal force is perpendicular to the incline and weight is vertical. No air resistance acts. Calculate the frictional force given the conditions.

Two masses $m_1=2.0,\text{kg}$ and $m_2=2.5,\text{kg}$ are connected by a light rope over a frictionless pulley. Consider the scenario described above, with $m_2$ moving downward and the system accelerating. Take $g=9.8,\text{m/s}^2$ and assume the rope is massless. Tension is the same on both sides. Determine the tension in the rope.