(b) A shipyard dry-dock, initially emptied from water is used to construct and build a new ship of a mass of 100 metric tonnes. See Figure 2 below. The ship has a width of 8 m, height of 5 m and length of 20 m. The ship rests on 10 support blocks each of dimensions of width 1 m, height 1 m and length 9 m. The dock will be refilled with seawater to match the sea level outside the dock gate, while the ship floats and rises. The dock gate has a width of 10 m and a height of 5 m, while the length of the dock is 40 m. Assume the level of the seawater outside the dock is inline with the top of the gate. Find: (i) the resultant force and the location of the centre of pressure on the dock gate when the dock is empty. (4 marks) (ii) the volume of seawater pumped into the dock at the moment when the ship becomes buoyant. (6 marks) (iii) the time taken to fill the dock until the water level inside the dock equals the sea level outside, if 10 identical pumps are used each having a volumetric flow rate of 0.1 m³/s. (4 marks) (iv) the metacentric height of the ship if a point-load of 30 metric tonnes is placed at the centre of the top deck. Take the centre of gravity of the ship at the centre of volume of the ship. Take density of seawater to be 1.025 x density of fresh water. sea dock gate 5 m 20 m (10 marks) 10 m 8 m 5 m ship 10 support blocks ship 40 m SIDE VIEW 1 m Figure 2- Dry-dock setup 9 m CROSS-SECTION VIEW