A bucket of water of mass 15 kg is pulled at constant velocity up to a platform 45 meters above the ground. This takes 10 minutes, during which time 7 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the platform. (Use $g = 9.8 \hbox{m/s}^2$.)

Work =
(include units)