A rectangular wooden block of uniform density floats in calm freshwater so that the top surface of the block is 35% above the waterline. The mass of the block is measured to be 0.80kg. Assume the density of freshwater is 1.00×103kgm−3 and that temperature effects are negligible.
(1) Part 1: (a) Determine the density of the wood.
(2) Part 2: (b) Calculate the total volume of the block.
(3) Part 3: The block is now carefully loaded with small lead pellets until its top surface is exactly level with the waterline (no portion of the wood remains above the surface). (c) Calculate the total additional mass of lead pellets required to achieve this condition.
(4) Part 4: (d) Describe qualitatively what would happen to the water level in the container once the pellets are later removed from the block and allowed to sink to the bottom, and justify your answer.