1. A 100 cm metal bar expands by 2.30 mm when heated by 100 C. Another bar, also 100 cm long, expands by 1.10 mm when heated to the same change in temperature. A third bar, of the same original length but composed of each material laid end-to-end, expands by 1.46 mm. Determine the lengths of each of the materials in the composite bar. 2. Quirina Landipa wants to burn excess body fat to get slimmer. Her target is to lose 100 grams/day. She was advised by her friend, Venus Sese, to drink icy cold water (=0C) to attain her goal. Venus stressed that the cold water will be heated to body temperature of 37C, the source of heat being the burned fats whose heat combustion is 9 Cal/g. Why wouldn't you agree with Venus? Mathematically prove. 3. Compute the rate of heat flow through two storm doors 1.96 m high and 0.77 m wide. (a) One door is made with aluminum panels 1.5 mm thick and a 3.10 mm glass pane that covers 75% of its surface (the structural frame is considered to have a negligible area). (b) The second door is made entirely of white pine averaging 2.55 cm in thickness. Take the temperature drop through the door to be 33C. Take k = 235 W/mC Kalass = 1.0 W/mC and kpine = 0.11 W/me.C www