Following a collision between a large spacecraft and an asteroid, a copper disk of radius $28\mathrm{.}0$ m and thick$-$ness $1\mathrm{.}20$ m at a temperature of $8508$C is f loating in space, rotating about its symmetry axis with an angular speed of $25\mathrm{.}0$ rad$/$s$.$ As the disk radiates infrared light, its temper$-$ature falls to $20\mathrm{.}08$C$.$ No external torque acts on the disk.Find the change in kinetic energy of the disk. $($b$)$ Find the change in internal energy of the disk. $($c$)$ Find the amount of energy it radiates.