The Earth is 1.5 × 1011 m from the Sun and takes a year to make one complete orbit. It rotates on its own axis once per day. It can be treated approximately as a uniform-density sphere of mass 6 ×...

The Earth is 1.5 × 1011 m from the Sun and takes a year to make one complete orbit. It rotates on its own axis once per day.

It can be treated approximately as a uniform-density sphere of mass 6 × 1024 kg and radius 6.4 × 106 m (actually, its center

has higher density than the rest of the planet, and the Earth bulges out a bit at the equator). Using this crude approximation,

calculate the following:

(a) What is vCM?

(b) What is Ktrans?

(c) What is ω, the angular speed of rotation around its own axis?

(d) What is Krot?

(e) What is Ktot?