It is sometimes said that if the entire population of China stood on chairs and jumped of simultaneously, it would alter the rotation of the Earth. Fortunately, physics gives us the tools to investigate such speculations. -Calculate the moment of inertia of the Earth about its axis. For simplicity, treat the Earth as a uniform sphere of mass m]; = 5.977x1024 kg and radius 6371 km. @Calculate an upper limit for the contribution by the population of China to the Earth's moment of inertia, by assuming that the whole group is at the Equator. Take the population of China to be 1.3 billion people, of average mass 70. kg. C3} Calculate the change in the contribution in part associated with a 1.0 m simultaneous change in the radial position of the entire group. @ Determine the fractional change in the length of the day the change in part @ would produce