Calculate the rotational kinetic energy for the following objects spinning about a central axis (in units of Joules).
a. a solid sphere with a mass of 100 grams and a radius of 5.0cm rotating with an angular speed of 2.0 rad/sec.
b. a thin spherical shell with a mass of 100 grams and a radius of 5.0cm rotating with an angular speed of 2.0 rad/sec.
c. a solid cylinder with a mass of 100 grams and a radius of 5.0cm rotating with an angular speed of 2.0 rad/sec.
d. a hoop with a mass of 100 grams and a radius of 5.0cm rotating with an angular speed of 2.0 rad/sec.