Problem 2 (25 pts): I have large pool of liquid benzene. Benzene has a density o

Question

Problem 2 (25 pts): I have large pool of liquid benzene. Benzene has a density of 0.877 g/cm 3. This pool is on the surface of the Moon. (It's under a large dome kept at I atm, so no need to worry about the vacuum causing the benzene to boil.) I have a 1 meter cube of solid plutonium (IV) oxide. This has a density of 11.5 g/cm 3. I wish to float this cube of plutonium in the lake of benzene by attaching a large cube of wood to it. I have a large supply of oak wood with a density of 0.6 g/cm*3. I want to make a large cube of wood glue it to the cube of plutonium, and float it in the lake of benzene. What is the minimum size of my wood cube needed to keep my plutonium cube afloat in my benzene pool?

Explanation / Answer

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https://drive.google.com/file/d/1a0xE6a2xE5EuK-bPiibjpa2zb7i0TMy0/view?usp=drivesdk

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