Here are the essential concepts you must grasp in order to answer the question correctly.
Viscosity
Viscosity is a measure of a fluid's resistance to flow. It describes how thick or sticky a liquid is, affecting how easily objects can move through it. Higher viscosity means greater resistance, which would slow down the fall of the steel sphere. In this scenario, the differences in viscosity among water, ethylene glycol, and olive oil are the primary reason for the varying times it takes for the sphere to reach the bottom.
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Density
Density is the mass per unit volume of a substance and plays a crucial role in determining how objects behave in fluids. While the question focuses on the time it takes for the sphere to fall, the density of the liquids can influence buoyancy and the overall motion of the sphere. However, in this case, viscosity is the more relevant property affecting the fall time.
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Drag Force
Drag force is the resistance experienced by an object moving through a fluid. It depends on the fluid's viscosity, the object's speed, and its shape. As the steel sphere falls, it encounters drag from the liquid, which varies with the viscosity of each liquid. This interaction is key to understanding why the time taken for the sphere to fall differs among the three liquids.
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