The gravitational force exerted on a solid object is 5.00 N . When the object is suspended from

step 1 When the object is surrounded or submerged in liquid with density low of liquid, then there is a

The gravitational force exerted on a solid object is 5.00 N...

The gravitational force exerted on a solid object is 5.00 $\mathrm{N}$ . When the object is suspended from a spring scale and sub- merged in water, the scale reads 3.50 $\mathrm{N}$ (Fig. Pl4.24). Find the density of the object.

Key Concepts

Density

Density is defined as the mass per unit volume of a substance. It serves as a crucial parameter in determining whether an object will float or sink in a fluid and is used along with other measurements to link the object's gravitational force to the volume it occupies, particularly when combined with the concepts of weight and buoyant force.

Apparent Weight and Spring Scale Readings

The concept of apparent weight refers to the weight of an object as measured in a fluid, which is reduced by the buoyant force exerted by that fluid. A spring scale, when used to measure the weight of an object in a fluid, registers this reduced or apparent weight, and analyzing the difference between the actual gravitational force and the apparent weight allows one to deduce properties such as the object's volume and density.

Buoyant Force

Buoyant force is the upward force exerted by a fluid on any object placed in it, opposing the object's weight. It is directly related to both the volume of the displaced fluid and the fluid's density, and its magnitude determines the net force acting on the submerged object, leading to a difference between the object's true weight and its apparent weight in the fluid.

Archimedes' Principle

This principle states that any object submerged in a fluid experiences an upward force equal to the weight of the fluid that the object displaces. This concept is fundamental to understanding how and why the apparent weight of an object changes when it is immersed in a fluid, and it forms the basis for calculating buoyant forces in various practical applications.

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