$1.$ The Earth rotates about its axis each day and also revolves around the Sun each year. You may treat the Earth as a solid sphere. Mearth $=5\mathrm{.}98$ x $1024$ kg Rearth $=6\mathrm{.}37$ x $10$ m Re$-$s $=1\mathrm{.}50$ x $10\text{'}1$ m$.$ a$.$ What is the angular momentum of the Earth due to its rotation about its axis? b$.$ What is the angular momentum of the Earth due to its motion around the Sun? c$.$ If the Earth suddenly reversed its direction of rotation about its axis, total angular momentum would be conserved. However, the angular momentum generated by the rotation would be in the opposite direction of the angular momentum generated by Earth's revolution around the sun. This would cause a change in the length of a year on Earth. What would be the fractional change in the length of an Earth year? Assume that the force causing this reversal acts only between the Earth and the Sun.