A scaled ice towing tank (1’ wide x 5’ deep) full of ice is…

A scaled ice towing tank (1’ wide x 5’ deep) full of ice is used to model ship movement through ice.  Unfortunately, the HVAC system failed, and the 25° F ice melted to 40° F water.  There is a side gate that can be raised or lowered as needed.  For this problem, assume there was no change in volume when the ice melted. Based on the sketch below (not to scale): Specific heat of ice = 0.46 BTU / lbm × °F Specific heat of water = 1.00 BTU / lbm × °F Heat of fusion of ice / water = 144 BTU / lbm      a. Assuming there are 40.9 slugs of H2O in the tank, compute the total energy (in BTU) required to change the H2O from 25° F ice to 40° F water. b. Find the total vertical component (only) of force, FV, on the gate.