Wanting to film underwater, you decide to attach your camera to a piece of wood. The only problem is that the only waterproof part of your movie camera is the special underwater lens. The rest of the camera must remain in the air. The mass of the camera and lens is 3.0kg and the volume of the lens is tex2html_wrap_inline46 . You have a piece of wood that is 0.20m wide and 0.10cm high and as long as you need it to be. What length should you cut the board so that the whole lens in underwater and only 5cm of the board is above water?
Assume that the board remains perfectly level floating in the water despite the uneven distribution of mass.
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