Let us consider Joule heating experiment (see also Fig.2). Let us take an experimental data set in Fig.2. The experimental setting is the following; we connect 3[N] of a heater (15[g]) in a calorimeter which consists of a 50[g] cup, and 70[g] of water. Applying I = 2[A] in this heater, we observe temperature T[deg] change. (a) Find the total work W[J] done by R = 3[S] in t = 660[sec]. Determine the net temperature difference in 660[sec] and find the produced heat Q: %3D Q = (muCw + meCe + mhCh) (T660[scec) Tojsec) , (17) where Cu 4186[J/(kg deg)], cc = Ch = 910[J/(kg deg)]. %3D %3D How much amount of energy is dissipated, comparing W[J] and Q[J]? (Compute the energy loss.) (b) Suppose Q = W (that is, no energy loss), and find the "effective" resis- tance in this experiment: (MwCw +mcCc+ mhCh) x the slope of the graph. (18) Estimate the percentage error. Figure 2: A data set and its fit from Joule heating experiment. time [sec] temperature [deg] temperature [deg] v.s. time [sec] 24.4 60 25.6 0.0321*x + 23.7 120 27.2 50.0 180 29.4 240 31.5 300 32.8 360 34.7 40.0 420 36.8 480 39.0 540 41.1 600 43.2 30.0 660 45.2 20.0 200 400 600