Problem 2: It is oen said that all mammals have the same life span when measured in number of heart beats. From observations, it is known that the heart rate r scales with mass m as r = 241 m'o'zsbeats / min., and that the life span 1 scales as l = 11.8 rno'20 years. Sketch these two relationships in a double-logarithmic plot. Now, find the scaling law for the lifespan of a mammal in terms of heart beats as a function of mass. Is it indeed constant? If not, how far off would you be if you predicted the average life span of a 70kg person from the data for a 2kg cat under the assumption that the hypothesis of a constant life span in terms of heart beats holds