A hoop $($I $=$ mr$2)$ has a radius of $0\mathrm{.}03$ m and a mass of $1\mathrm{.}5$ kg is rolling on a flat surface with a linear speed $$

$$of $4\mathrm{.}5$ m$/$s$.$

a$)$ What is its Rotational Kinetic Energy?

b$)$ If it starts to roll up an inclined ramp, how high $($h$)$ will it reach before it momentarily stops and then begins to roll back down? $($assume no friction$).$