Your automobile engineering team is working on a $1,528-$kg electric vehicle $($EV$)$ that will be used for high acceleration and heavy braking. During deceleration, the vehicle$$s kinetic energy will be converted to electrical energy by regenerative brakes that will charge a supercapacitor that will utilize dielectric material comparable to calcium copper titanate. Assume that there are no energy losses, all the kinetic energy is completely converted into electrical energy and stored into the capacitor.$$

The capacitor is to be designed to fully charge when the vehicle is decelerated from $52$ mph to a stop. The vehicle must decelerate from $52$ mph to a stop in $3$ seconds. Assume that the charging voltage is constant at $0\mathrm{.}6$ kV$.$ Also assume that the charging circuit can be modeled as an RC circuit.

The capacitor is to consist of two sheets of width $2\mathrm{.}5$ m and length $2\mathrm{.}1$ m each side$/$plate$,$ separated by a dielectric sheet rolled into a spiral to fit in a cylindrical shape.

Determine the required thickness of the dielectric in the unit of micron.

Write your answer in decimal form with three digits to the right of the decimal point $($e$.$g$.5\mathrm{.}372)$; do not write any units.