You need to move a hunk of gold across a river by placing it on top of a makeshift raft, which is constructed from a 30 kg piece of wood with density Pwood = 500 kg/m3. The wood floats on the water, which has a density Pwater = 1000kg/m3. See figure below Gold Wooden raft Part 1: What is the maximum mass of gold you could place on top of the piece of wood so that the wooden raft is just barely submerged? Part 2: The raft tipped over, but you thought to tie the gold to the raft, just in case. Now the gold is dangling underwater via a string. What is the minimum mass of gold, hung underwater from the raft by a string, that will cause the wood and the stolen gold to sink? The density of gold is 20,000 kg/m3. See figure below Wooden raft Gold1. Getting Started: State the important information and summarize the problem. If possible, include a diagram. Note any assumptions you're making. 2. Devise Plan: Devise a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments. Identify which physical relationships you can apply. 3. Execute Plan: Carry out your plan, explaining each step. The argument should be easy to follow. Articulate your thought process at each step (including roadblocks). Any variables should be clearly defined, and your diagrams should be labeled. 4. Evaluate Solution: Check each solution for reasonableness. There are many ways to justify your reasoning: check the symmetry of the solution, evaluate limiting or special cases, relate the solution to situations with known solutions, check units, use dimensional analysis, and/or check the