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PHYC10004_2025_SM2 Experiment 5 - Prelab questions

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Considering the experimental setup in Part A, where the mass is fully submerged. By choosing from the following equations, use Archimedes principle to derive a general formula for ΔM (where ΔM = M - Mapp, and Mapp is the apparent mass), in terms of the density of the object po, density of water pw, and mass of the object M. 1: Mass station, a = 0, so Fnet is 2: Sum of forces acting on the object gives 3: Equating both equations 4: Bouyancy force is 5: Force of gravity is 6: Tension (apparent weight) is 7: Substituting into above equation 8: Cancelling g out and rearranging to get 9: Volume displaced = volume of object, so V is 10: Substituting V out, we find delta M to be

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To approach this matching question, I will evaluate each proposed statement in the sequence provided and explain how it fits into Archimedes’ principle and the given setup where the mass is fully submerged. Option 1: 'Fnet = 0' – In a static equilibrium (as suggested by a mass at rest with Fnet = 0), this would be the condition used to balance forces. It is consistent with the idea that the net force on the object is zero when it is suspended or at rest, but on its own it is not a complete expression for the forces involved; it needs to be coupled with the other force terms (gravity, buoyancy, and tension) to be useful. Option 2: 'Fnet = T + Fb - Fg' – This line enumerates the vertical force balance as the sum of tension (upwards or downwards depending on sign), buoyancy (upward), and gravity (downward). It is a valid decomposition of net force for a vertically oriented setup where these are the contributing forc......Login to view full explanation

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