Question #42440

A block of mass $m = 2 \text{ kg}$ and positive charge $q = 4 \text{ mC}$ is released from rest at $x=0$ on a rough inclined plane making an angle $\theta = 37^\circ$ with the horizontal. The coefficient of friction between the block and the plane is $\mu = 0.5$. A non-uniform electric field exists in the region, directed perpendicular to the inclined plane and pointing into the surface. The magnitude of this electric field varies with the distance $x$ down the incline as $E = kx$, where $k = 2.5 \times 10^3 \text{ V/m}^2$. Taking $g = 10 \text{ m/s}^2$, what is the maximum kinetic energy attained by the block during its downward motion?