Final answer:
The upward force exerted on the object by the liquid can be calculated using Archimedes' principle. We can use the change in the length of the spring to determine the volume of fluid displaced by the object. Finally, the upward force exerted by the liquid can be calculated using the density of the liquid and the acceleration due to gravity.
Step-by-step explanation:
The upward force exerted on the object by the liquid can be calculated using Archimedes' principle. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. The length of the spring decreasing to 5.0 cm indicates that the object has experienced a decrease in displacement, which means the volume of fluid displaced by the object has also decreased.
Let's assume the original length of the spring before the displacement is l1. The change in the length of the spring, Δl, is given by Δl = l1 - 5.0 cm.
The volume of fluid displaced by the object can be approximated using the change in the spring length. Let's call the cross-sectional area of the spring A. The volume of fluid displaced, V, is given by V = A x Δl.
Finally, the upward force exerted on the object by the liquid, F, is equal to the weight of the fluid displaced, which can be calculated using the density of the liquid, ρ, and the acceleration due to gravity, g, as F = V x ρ x g.
Remember to convert the units of length to meters and the units of force to Newtons, if necessary, for accurate calculations.