The gravitational force exerted on a solid object is 5.00 N as measured when the object is suspe

step 1 that the actual weight of the object is equaling 5 .00 newtons and we can say that the apparent

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

The gravitational force exerted on a solid object is 5.00 $\mathrm{N}$ as measured when the object is suspended from a spring scale as in Figure P9.26a. When the suspended object is submerged in water, the scale reads 3.50 $\mathrm{N}(\text { Fig. } \mathrm{P9} .26 \mathrm{b}) .$ Find the density of the object.

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Key Concepts

Archimedes' Principle

This principle states that any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object. It is fundamental in solving problems involving buoyancy and apparent weight reduction.

Density

Density is defined as mass per unit volume. It is a key property used to characterize materials, and it helps determine whether an object will float or sink in a fluid by comparing the object's density to that of the fluid.

Gravitational Force

This is the force acting on an object due to gravity. It is calculated as the product of the object's mass and the acceleration due to gravity (F = mg) and is often measured using a scale when the object is not influenced by other forces.

Buoyant Force

This upward force is exerted by a fluid on an object immersed in it. According to Archimedes' Principle, the buoyant force is equal to the weight of the fluid displaced by the object, reducing the apparent weight of the object in the fluid.

Apparent Weight

This is the weight reading measured when an object is submerged in a fluid. It is less than the actual weight because the buoyant force from the fluid partly counteracts the gravitational force.

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