Archimedes Principle and Buoyancy

In summary, when a 100g object with a density less than water is placed in a half-full beaker of water and then measured on a triple beam balance, the weight would be equal to the combined weights of the water, beaker, and object. This is because the buoyant force within the beaker does not affect the balance, according to Newton's third law.
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Lisas941
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Homework Statement


A 100g object having a density less than that of water is placed into a beaker half full of water. The beaker is then placed on a triple beam balance. Would be measured weight be equal to, greater than, or less than the weights of the water, the beaker, and the object added together? Explain.

Homework Equations


Fb = ρVg = mf g
Wapt = mg - Fb

The Attempt at a Solution


Would it be equal to as the balance isn't affected by the buoyant force within the beaker? I'm confused.
 
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  • #2
your attempt is reasonable enough, but Newton's third law would be helpful.
 
Last edited:

1. What is Archimedes Principle?

Archimedes Principle is a law of physics that states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that the object displaces. In simpler terms, it explains why objects float or sink in water.

2. How does buoyancy work?

Buoyancy is a force that acts in the opposite direction of gravity. When an object is submerged in a fluid, the fluid exerts an upward force on the object, known as the buoyant force. If the buoyant force is greater than the weight of the object, the object will float. If the buoyant force is less than the weight of the object, the object will sink.

3. What factors affect buoyancy?

The buoyant force on an object is affected by the density of the fluid, the volume of the object, and the acceleration due to gravity. The denser the fluid, the greater the buoyant force. The larger the volume of the object, the greater the buoyant force. And the stronger the gravitational pull, the greater the effect on the buoyant force.

4. How is buoyancy used in real life?

Buoyancy plays a crucial role in many everyday activities. For example, it allows ships to float on water and hot air balloons to float in the air. It also helps us to understand why some objects sink while others float. Additionally, the principle of buoyancy is used in designing submarines, scuba diving equipment, and life jackets.

5. What is the difference between weight and buoyant force?

Weight is a measure of the force of gravity on an object, while buoyant force is the upward force exerted by a fluid on an object. Weight depends on the mass and acceleration due to gravity, while buoyant force depends on the density of the fluid and the volume of the object. In some cases, the buoyant force can be greater than the weight, causing an object to float, even if it would normally sink based on its weight alone.

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