A solid disk has a mass of $4\mathrm{.}5$ kg and a radius of $0\mathrm{.}09$ meters. Released from rest, it rolls down a ramp.

a$.$ If its translational velocity is $5\mathrm{.}3\frac{m}{s}$ at the bottom of the ramp, what is the height of the ramp?

b$.$ The solid disk is replaced with a new solid disk with a mass of $0\mathrm{.}8$ kg and a radius of $\mathrm{.}02$ m $.$ The new solid disk is let go of from rest at the top of the same ramp as before. Will this new disk be faster, slower, or have the same speed as the original solid disk from part $1$ when it reaches the bottom of the ramp.

c$.$ The solid disk is then replaced with a solid ball with a mass of $4\mathrm{.}5$ kg and a radius of $0\mathrm{.}09$ meters. Like the other two, the solid ball is released from rest at the top of the same ramp from part A$.$ Will this new solid ball be faster, slower, or have the same speed as the original solid disk from parts $1$ when it reaches the bottom of the ramp?