Instructions: Answer the given problems in a clean paper. Show your complete solution and box the final answer. Upload in pdf format. Problem: 1.) A wooden block 4mx1mx0.5m is floating in water. Its specific gravity is 0.82. Find the volume of the concrete of specific gravity 2.7, that may be placed on the block which will immerse the (a) block completely in water and (b) block and concrete completely in water. 2.) A rectangular open box, 7.6m by 3m in plan and 3.7m deep, weighs 450KN and is launched in fresh water. (a) How deep will it sink? (b) If the water is 3.7m deep, what weight of stone placed in the box will cause it to rest on the bottom? 3.) A stone weighs 600 N in air and 300N in water. Determine the volume of stone and its specific gravity. 4.) A metallic body floats at the interface of mercury of specific gravity 13.6 and water in such a way that 30% of its volume is submerged in mercury and 70% in water. Find the density of the metallic body. 5.) A block of wood floats in water with 40mm projecting above the water surface. When placed in glycerin of sp gr 1.35, the block projects 70mm above the surface of that liquid. Determine the sp gr of wood