### Physics Problem: Sinking Sphere in Water#### Problem Statement:A sphere of radius 0.100 meters is placed in a container of water and immediately begins sinking toward the bottom of the container. Once the object is completely submerged in the water, the apparent weight of the object is 69.8 N. Find:a) The mass of water displaced_____________________b) The buoyancy force on the sphere_____________________c) The true mass of the sphere_____________________d) The density of the sphere_____________________This problem involves concepts of buoyancy, displacement, and density. The following steps can be used to solve it:1. **Calculate the Mass of Displaced Water:** - Use the volume of the sphere to find the mass of the water displaced, using the density of water (approximately 1000 kg/m³).2. **Determine the Buoyancy Force:** - The buoyant force can be equated to the weight of the water displaced.3. **Find the True Mass of the Sphere:** - Using the apparent weight and the buoyant force, calculate the true weight and thus the true mass of the sphere.4. **Calculate the Density of the Sphere:** - Use the mass and volume of the sphere to find its density.These steps involve fluid mechanics principles such as Archimedes' Principle and basic physics concepts like density and volume calculations. Follow along for detailed solutions and explanations.

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7. A sphere of radius 0.100 m is placed in a container of water and immediately begins sinking toward the bottom of the container. Once the object is completely submerged in the water, the apparent weight of the object is 69.8 N. Find: a) The mass of water displaced b) The buoyancy force on the sphere c) The true mass of the sphere

7. A sphere of radius 0.100 m is placed in a container of water and immediately begins sinking toward the bottom of the container. Once the object is completely submerged in the water, the apparent weight of the object is 69.8 N. Find: a) The mass of water displaced b) The buoyancy force on the sphere c) The true mass of the sphere

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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### Physics Problem: Sinking Sphere in Water

#### Problem Statement:
A sphere of radius 0.100 meters is placed in a container of water and immediately begins sinking toward the bottom of the container. Once the object is completely submerged in the water, the apparent weight of the object is 69.8 N. Find:

a) The mass of water displaced

_____________________

b) The buoyancy force on the sphere

_____________________

c) The true mass of the sphere

_____________________

d) The density of the sphere

_____________________

This problem involves concepts of buoyancy, displacement, and density. The following steps can be used to solve it:

1. **Calculate the Mass of Displaced Water:**
- Use the volume of the sphere to find the mass of the water displaced, using the density of water (approximately 1000 kg/m³).

2. **Determine the Buoyancy Force:**
- The buoyant force can be equated to the weight of the water displaced.

3. **Find the True Mass of the Sphere:**
- Using the apparent weight and the buoyant force, calculate the true weight and thus the true mass of the sphere.

4. **Calculate the Density of the Sphere:**
- Use the mass and volume of the sphere to find its density.

These steps involve fluid mechanics principles such as Archimedes' Principle and basic physics concepts like density and volume calculations. Follow along for detailed solutions and explanations.

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