A recent "study" examined the possibility of cooking a chicken by slapping it really hard. If your hand has enough kinetic energy, the slap could convert this into thermal energy to cook the bird. Consider a typical 5-lb chicken, whose mass, mc, is 2.27 kg. Initially, it is at a refrigerated temperature, Tc, of 1.7C. To be fully cooked, it must be raised to a temperature, TH, of 73.9C. Chicken typically has a specific heat, c, of 1770 J/(kg*K), and you may assume that the temperature is uniform throughout the bird. Your hand has a mass, mh, of approximately 0.4 kg. a. Assume that your hand kinetic energy is converted entirely into thermal energy within the bird. What velocity, V (in m/s), must your hand have? b. If the slap occurs over a time, At, of 0.1 s, what is its average applied power, P (in W)? c. An enterprising engineer suggests using the heated chicken to drive a heat engine, which will feature the refrigerator as the cold reservoir. What is the minimum percentage of the slap energy that would be lost as heat?