Earth has a mass of 5.97×1024 kg and a radius of 6.37×106 m. The period of Earth's rotation is 24 hours (i.e., it rotates on its axis once every 24 hours). Imagine that Earth is compressed down to half of its current radius, while its angular momentum is conserved and it retains all of its mass. Treat the Earth as a solid sphere, whose moment of inertia is I ==MR?. initial final (a) What is the final rotation period, in hours? (b) What is the change in Earth's rotational kinetic energy during this process? Give your answer in units of Joules. G G

Earth has a mass of 5.97×1024 kg and a radius of 6.37×106 m. The period of Earth's rotation is 24 hours (i.e., it rotates on its axis once every 24 hours). Imagine that Earth is compressed down to half of its current radius, while its angular momentum is conserved and it retains all of its mass. Treat the Earth as a solid sphere, whose moment of inertia is I ==MR?. initial final (a) What is the final rotation period, in hours? (b) What is the change in Earth's rotational kinetic energy during this process? Give your answer in units of Joules. G G