Five objects all move in uniform circular motion. The objects have different masses, move at different speeds, and travel in circular paths of different radii. Rank these objects in order of the magnitude of the centripetal force that acts on them, from greatest to least: $($a$)$ a $2\mathrm{.}00$ kg object moving at $10\mathrm{.}0$ m$/$s in a circle of radius $8\mathrm{.}00$ m; $($b$)$ a $2\mathrm{.}00$ kg object moving at $5\mathrm{.}00$ m$/$s in a circle radius of $4\mathrm{.}00$ m; $($c$)$ a $4\mathrm{.}00$ kg object moving at $5\mathrm{.}00$ m$/$s in a circle of radius $2\mathrm{.}00$ m; $($d$)$ a $4\mathrm{.}00$ kg object moving at $5\mathrm{.}00$ m$/$s in a circle of radius $8\mathrm{.}00$ m $($e$)$ an $8\mathrm{.}00$ kg object moving at $5\mathrm{.}00$ m$/$s in a circle of radius $1\mathrm{.}00$ m$.$