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2) Two semi-infinite solids, A and B, are at initial uniform temperatures TA,i=110C and TB,i= 30C, as shown below. At t=0, the solids are brought into perfect contact with one another. Their interfacial area is As=0.1m2. The variables for material properties are labeled in the figure. k is thermal conductivity; is thermal diffusivity. tn For bi k=05W/(mK)=1106m2/s (a) What depth ( x position) into solid B should a wire be positioned if the wire cannot be allowed to reach its melting temperature, Tmelt=56.9C, for at least 1 hour after the solids make contact? (b) How much total energy (in Joules, J) is added to solid B from solid A over a period of 1 hour