If you push any floating object down from equilibrium and release it, it bobs up and down. That looks like an oscillation, so let's analyze the restoring force driving the floating object back to equilibrium. Suppose the cube is distance y below its equilibrium position. Find an expression for the y-component of the net force exerted on it. Simplify this expression as much as possible. Does it look like a linear restoring force?
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If you push any floating object down from equilibrium and release it, it bobs up and down. That look...
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