a glass is partially filled with water. Five ice cubes are placed in the glass, causing the level of the water to reach the rim of the glass. Which of the following statments best explains the increase in water level?
A)The volume of the sumerged ice is equal to the volume of the water displaced.
B) The mass of the water in the glass is less then the mass of the ice.
C)The weight of the ice is less that the weight of the water in the glass.
D) The density of the water in the glss is greater then the density of the ice.
A) and D) are both true but do not really explain why the water level rises.
Ice that is fully submerged OR which floats must displace some water, causing the water level to rise. A) is the closest to a proper answer.
B) and D) may or may not be true, depending upon how much ice was there to start with.
ice would be lighter than water cause ice is crystals when it freeze
The correct statement that best explains the increase in water level is A) The volume of the submerged ice is equal to the volume of the water displaced.
When the ice cubes are placed in the glass, they displace an amount of water equal to their own volume. This displaced water increases the water level in the glass. Since ice is less dense than water, a given volume of ice has a lower mass than the same volume of water. However, this does not necessarily mean that the mass of the water in the glass is less than the mass of the ice. The weight of the ice cubes is equal to the weight of the water displaced, so it is not true to say that the weight of the ice is less than the weight of the water in the glass. Lastly, the density of water is greater than the density of ice, so option D is incorrect as well.
To determine which statement best explains the increase in water level when the ice cubes are placed in the glass, let's analyze each statement and understand its relevance to the situation:
A) The volume of the submerged ice is equal to the volume of the water displaced.
This statement is based on Archimedes' principle, which states that when a body is partially or completely submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid it displaces. In this case, if the water level reaches the rim of the glass, it indicates that the volume of the submerged ice is equal to the volume of the water displaced. Therefore, this statement is a valid explanation.
B) The mass of the water in the glass is less than the mass of the ice.
This statement does not provide enough information to explain the increase in water level. Comparing mass does not directly explain the change in water level when the ice cubes are added.
C) The weight of the ice is less than the weight of the water in the glass.
The weight comparison between the ice and water is not relevant to explaining the increase in water level. Weight measures the force exerted by an object due to gravity, but it does not directly correlate with the change in water level.
D) The density of the water in the glass is greater than the density of the ice.
While the density of an object determines whether it will float or sink in a fluid, it does not directly explain the increase in water level. This statement does not provide enough information to determine the relationship between the density of the water and the density of the ice.
Therefore, the best explanation for the increase in water level is statement A) "The volume of the submerged ice is equal to the volume of the water displaced."