Answering just part C: Determine the height of the melted frosting layer. The viscosity of the glaze is 1.57 * 10^-3.

4. (15 pts.) In the Haywood house, we fully-glaze our fruit cakes by sliding them down a glaze-lubricated slope in a pool of melted glaze. Through strick quality control, the heavily cherry-laden, moist fruit cakes have a specific gravity relative to water of 1.02 . A cylindricalshaped fruit cake with an equal diameter and height of 10cm slides down a smooth inclined surface as shown in the figure below with a terminal velocity of 0.17m/s. The gap between the cake and the surface contains melted glaze whose viscosity is approximately equal to the viscosity of mercury at 20C. Assume the velocity distribution in the gap is linear and the cake glides on the open surface of the glaze. 1 (a) What is the density of the fruit cake? (b) Draw a complete Free Body Diagram of the cake. (c) Determine the height of the melted frosting layer