Questions and Answers
Assuming that the graduated cylinder was empty when the object was placed in the beaker and that the beaker was full to the level of the spout, what must be true?
Assuming that the graduated cylinder was empty when the object was placed in the beaker and that the beaker was full to the level of the spout, what must be true?
Given that the liquid in the beaker is water (density = 1 g/mL), what is the mass of the object?
Given liquid in the beakers is water (density = 1 g/mL), what is the density of the floating object?
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Would the water level in the tub become higher, lower, or remain the same after removing the rock from the toy boat?
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Study Notes
Density and Water Displacement
- An object that floats in water has a mass equal to the mass of the displaced water when placed in the beaker.
- If the mass of the water in the graduated cylinder equals the mass of the floating object, this indicates the floating object’s density is less than the density of water.
Volume Relationships
- When an object is at the bottom of the beaker:
- The volume of water in the graduated cylinder equals the volume of the submerged portion of the object.
- If the object is fully submerged, its volume displaces an equal amount of water.
Calculating Mass
- The mass of a floating object in water can be determined based on the amount of water displaced:
- For water with a density of 1 g/mL, if an object displaces 10 mL of water, its mass is 10 g.
Density of Objects
- The density of two identical volume objects can differ, evidenced by a floating object having a density of 0.5 g/cm³, indicating it is less dense than water.
Effects of Removing Objects from Water
- If a rock is removed from a toy boat, the water level in the tub decreases:
- The rock's weight contributes to the displacement when in the boat; removing it reduces the displaced volume, leading to a lower water level.
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Description
Test your understanding of density and the principles of water displacement. This quiz covers concepts such as the relationship between mass, volume, and density in floating and submerged objects. Challenge your knowledge with practical examples to reinforce these scientific principles.
