Question: My memory isn't great, but this problem might not be fully consistent with itself, or fully solvable with the given information. Feel free to

 My memory isn't great, but this problem might not be fully consistent with itself, or fully solvable with the 

My memory isn't great, but this problem might not be fully consistent with itself, or fully solvable with the given information. Feel free to define whatever quantities are missing or to exclude whatever inconsistent information is provided here. On your way back from exploring planet Chyspis, you wish to determine the density of a rock that you collected. Your supply of water is for drinking, so you decide to use a fluid substance collected from Chyspis. You find a string, put some of the fluid in a tub on a spring scale, and conduct two experiments. (Your ship is replicating Earth surface gravity.) The scale reads 125 N when the tub of fluid is placed on it. Hanging the rock from the string produces a tension To You hang the rock at the end of the string fully submerged in the fluid. The scale now reads 137 N. The tension in the string has reduced to 83% of To After filling the tub to the brim with the fluid, when you drop the rock in the fluid that spills out weighs 20 N. (a) Find the densities of the rock and the fluid. (b) The platform of the spring scale when the rock is hung on the string and submerged is 1.2 cm lower than when just the tub of fluid is weighed. If just the tub of water (still 125 N total) is left on the scale, with what frequency will it oscillate when it is displaced slightly from equilibrium?

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