In the laboratory, you are given a cylindrical beaker containing a…

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In the laboratory, you are given a cylindrical beaker containing a fluid and you are asked to determine the density ρ of the fluid. You are to use a…

Jason · Accepted Answer

Check the explanation for the complete solution. The following is a condensed version of the solution:

Measure the length of the spring without the object and then with the object at rest in air. Their difference is the displacement $\Delta x_{\text{air}}$. Solve for $k$ by algebraically rearranging the force equilibrium equation.
The observed change is a decrease in the spring extension because the fluid’s buoyant force partially offsets the weight of the object.
Using the metric ruler, record the spring displacement when the object is in air and when it is immersed in the fluid. According to Archimedes’ principle, the buoyant force equals the weight of the displaced fluid.
$\boxed{\rho = D \left(1 &#8211; \frac{\Delta x_{\text{fluid}}}{\Delta x_{\text{air}}}\right)}$

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