(Solved): A \( 6.00 \mathrm{~kg} \) ball is dropped from a height of \( 15.0 \mathrm{~m} \) above one end of ...

A \( 6.00 \mathrm{~kg} \) ball is dropped from a height of \( 15.0 \mathrm{~m} \) above one end of a uniform bar that pivots at its center. The bar has mass \( 9.00 \mathrm{~kg} \) and is \( 4.00 \mathrm{~m} \) in length. At the other end of the bar sits another \( 6.00 \mathrm{~kg} \) 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.