A $6\mathrm{.}00kg$ ball is dropped from a height of $13\mathrm{.}0m$

above one end of a uniform bar that pivots at its

center. The bar has mass $5\mathrm{.}00kg$ and is $4\mathrm{.}00m$ in

length. At the other end of the bar sits another

$6\mathrm{.}00kg$ ball, unattached to the bar. The dropped

ball sticks to the bar after the collision. Assume that

the bar is horizontal when the dropped ball hits it$.$

Part A

How high will the other ball go after the collision?

Express your answer with the appropriate units.

$h=$