Calculate the moment of inertia and 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 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.5 rad/sec.
b) a thin spherical with a mass of 200 grams and a radius of 5.0cm rotating with an angular speed of 2.5rad/ sec.
c) a solid cylinder with a mass of 200grams and a radius 5.0 cm rotating with an angular speed of 2.5 rad/sec.
d) a hoop with a mass of 200 grams and a radius of 5.0cm rotating with an angular speed of 2.5 rad/sec.