Question

An ice cube floats in a glass of water. As the ice melts what happens to the water level? A. It rises. B. It remains the same. C. It falls by an amount that cannot be determined from the information given. D. It falls by an amount proportional to the volume of the ice cube. E. It falls by an amount proportional to the volume of the ice cube that was initially above the water line.

Name: Problem 22, Chapter 11: College Physics
Uploaded: 2021-08-11T12:10:04-08:00
Duration: 1 min 16 s
Channel: Prabhu Ramji
Description: An ice cube floats in a glass of water. As the ice melts what happens to the water level? A. It rises. B. It remains the same. C. It falls by an amount that cannot be determined from the information given. D. It falls by an amount proportional to the volume of the ice cube. E. It falls by an amount proportional to the volume of the ice cube that was initially above the water line.

   An ice cube floats in a glass of water. As the ice melts what happens to the water level?
A. It rises.
B. It remains the same.
C. It falls by an amount that cannot be determined from the information given.
D. It falls by an amount proportional to the volume of the ice cube.
E. It falls by an amount proportional to the volume of the ice cube that was initially above the water line.

College Physics

Roger A. Freedman;… 2nd Edition

Chapter 11, Problem 22

Instant Answer

Solved by Expert Prabhu Ramji

08/11/2021

Step 1

In this case, the ice cube is floating in the water, so it is displacing a volume of water equal to its own weight. Show more…

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An ice cube floats in a glass of water. As the ice melts what happens to the water level? A. It rises. B. It remains the same. C. It falls by an amount that cannot be determined from the information given. D. It falls by an amount proportional to the volume of the ice cube. E. It falls by an amount proportional to the volume of the ice cube that was initially above the water line.

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Key Concepts

Archimedes' Principle

This principle states that any object immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object. It explains why floating objects displace an amount of fluid that weighs as much as the object itself, forming the foundation for understanding buoyancy in fluids.

Density and Phase Change

This concept involves understanding how the density of a substance changes when it undergoes a phase transition, such as when ice melts into water. Since ice is less dense than water, the melting process results in a volume change that directly affects fluid displacement and water level.

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