Problem $2.$ Consider two adjacent objects, in which the thermal capacitances of the objects are C$1$ and C$2,$ respectively. Assume that the temperatures of both objects are uniform, and they are T$1$ and T$2,$ respectively. The heat flow rate into object $1$ is $q0,$ and the temperature surrounding object $2$ is TO$.$ There are two modes of heat transfer involved, conduction between the objects and convection between object $2$ and the air. The corresponding thermal resistances are R$1$ and R$2,$ respectively.

Build a Simscape model of this physical system using figure below and find the temperature outputs $T1(t)$ and T$2($t$).$ Use default values for the blocks of Thermal Mass $($mass $=1$ kg $,$ specific heat $=447J*\frac{K}{k}g,$ and initial temperature $=300K),$ Conductive Heat Transfer $($area $=110-4m2,$ thickness $=0\mathrm{.}1$ m $,$ and thermal conductivity $=401\frac{W}{m*K}),$ and Convective Heat Transfer $($area $=110-4m2$ and heat transfer coefficient $=20\frac{W}{m2*K}).$ Assume that the heat flow rate is $q0=400\frac{J}{s}$ and the surrounding temperature is T$0=298K.$

Hint: To create Simscape model type $"$ssc$\_$new" in MATLAB command window. To find the elements of Thermal Simscape library click anywhere in the model, and in the search window, type the name of the element.