Question #43505

A wedge has an inclined surface that makes an angle $\theta = 37^\circ$ with the horizontal. The inclined surface slopes upward to the right. The wedge accelerates horizontally to the right with a constant acceleration $a = 5 \text{ m/s}^2$. A block of mass $m = 2 \text{ kg}$ is placed on the inclined surface. The coefficient of kinetic friction between the block and the wedge is $\mu_k = 0.5$. A motor fixed to the wedge pulls the block up the incline using a light string parallel to the incline. The block moves up the incline with a constant relative speed $v_0 = 5 \text{ m/s}$ with respect to the wedge. At the instant the wedge has a velocity $V = 10 \text{ m/s}$ to the right, what is the power delivered by the motor to the block as observed in the ground frame? (Take $g = 10 \text{ m/s}^2$, $\sin 37^\circ = 0.6$, $\cos 37^\circ = 0.8$)