A cable that weighs 1.5 kg/meter and is attached to a bucket that weighs 75 kg. Initially, there are 500 kg of grain in the bucket and as the bucket is raised 2 kg of grain leaks out of a hole in the bucket for every meter the bucket is raised. The bucket is 200 meters below a bridge. How much work is required to raise the bucket to the top of the bridge?

Question

$\begin{array}{1 1} a) 7.36 \times 10^9\;Joules\\ b) 7.36 \times 10^{8}J \\ c) 7.36 \times 10^9 \; KJ\\ d) 7.36\times 10^8KJ\end{array} $