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What is the relationship between buoyancy and the weight of displaced water?

What is the relationship between buoyancy and the weight of displaced water?. Archimedes’ Principle states that buoyancy is equal to the weight of the water displaced by the object. Why is the loss of weight of the object in a liquid only an apparent loss of weight?.

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What is the relationship between buoyancy and the weight of displaced water?

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  1. What is the relationship between buoyancy and the weight of displaced water? • Archimedes’ Principle states that buoyancy is equal to the weight of the water displaced by the object.

  2. Why is the loss of weight of the object in a liquid only an apparent loss of weight? • When the object is put in water it looks like it has lost weight however the weight is just being supported by the buoyant force of the water and will return when the object is back in air.

  3. How did the apparent loss of weight compare with the weight of water displaced for each object? • The apparent loss of weight should be equal to the weight of water displaced by the object because weight of water displaced is buoyant force (Archimedes’ principle) and how much weight is “lost” is equal to how much is being pushed up.

  4. If an object floats in a liquid, how does the loss of weight compare with the weight of the object in air? • If the object floats then it loses all its weight so the loss of weight will equal the weight of the object in air.

  5. Does the buoyancy of a liquid change as the mass of the object changes? • As the mass increased the buoyancy increased when the object was floating but when the object sank the mass increased and the buoyancy stayed the same.

  6. Do all liquids have the same buoyancy? • No, all liquids do not have the same buoyancy. Looking at the results for 12 pennies, the buoyancy is greatest in the saltwater and least in the rubbing alcohol. The less dense the liquid the smaller the buoyant force.

  7. Compare the weight of the object in air to the weight of the displaced water when the object floated. • When the object floats the weight of the object in air is equal to the buoyancy and since buoyancy is equal to the weight of the displaced water (Archimedes’ Principle), the weight of the object in air is equal to the weight of the displaced water.

  8. Compare the weight of the object in air to the weight of the displaced water when the object sank. • When an object sinks the weight of the object in air is greater than the buoyancy and since buoyancy is equal to the weight of the water displaced (Archimedes’ principle), the weight of the object in air is greater than the weight of the displaced water.

  9. What is the buoyant force from the fluid on the object? • Weight of object in air = 32.0 N • Weight of object in fluid = 10.0 N • Will the object float or sink?

  10. What is the weight of the object in air? • Buoyant force = 17. N • Weight of object in fluid = 0 N • Will the object float or sink?

  11. What is the buoyant force on the object? • Mass of displaced water = 408. g • Weight of object in air = 5.2 N • Will the object float or sink?

  12. What is the weight of the object in the fluid? • Buoyant force of the fluid on the object = 25. N • Mass of object = 4.5 kg • Will the object float or sink?

  13. When placed in water which will displace more fluid? Object 1 Object 2 • Buoyant force = 12. N • Buoyant force = 20. N When placed in water will the objects float or sink? • Mass of object = • 3.51 kg • Mass of object = • 1.22 kg

  14. 50g 50g • Which has a better chance of floating? Why?

  15. Answers • Slide 1: 22.0 N; sink • Slide 2: 17. N; float • Slide 3: 4.00 N; sink • Slide 4: 19. N; sink • Slide 5: object 2; object 1 will float; object 2 will sink • Slide 6: larger object because it will displace more water which means it will have a bigger bouyant force

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