2) (10 points) The bottom of a steel barge is a 5.0m x 10m x 2.0cm piece of steel. The density of this steel is 7900 kg [m3 . The density of air is 1.3 kg / m3 and the density of water is 1000 kg [m3 . The sides of the barge are made from 0.50cm thick steel. You must design the height of the sides. a) Draw a complete Free Body Diagram (FBD) of the barge oating on the water. b) What is the minimum height of the sides for the barge to barely not sink in perfectly calm water? c) For safety, double the height of the sides you found in part b above. Find the maximum number of 100kg people that can stand on the barge without it sinking in perfectly calm water. Then out this number in half and report this as the maximum capacity of the barge. Hint: Again, you must draw a complete FBD and ll out Newton's 211d Law