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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 12 / Problem 57P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: A 0.180-kg cube of ice (frozen water) is floating

Chapter 12, Problem 57P

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QUESTION:

Problem 57P

A 0.180-kg cube of ice (frozen water) is floating in glycerine. The gylcerine is in a tall cylinder that has inside radius 3.50 cm. The level of the glycerine is well below the top of the cylinder. If the ice completely melts, by what distance does the height of liquid in the cylinder change? Does the level of liquid rise or fall? That is, is the surface of the water above or below the original level of the glycerine before the ice melted?

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QUESTION:

Problem 57P

A 0.180-kg cube of ice (frozen water) is floating in glycerine. The gylcerine is in a tall cylinder that has inside radius 3.50 cm. The level of the glycerine is well below the top of the cylinder. If the ice completely melts, by what distance does the height of liquid in the cylinder change? Does the level of liquid rise or fall? That is, is the surface of the water above or below the original level of the glycerine before the ice melted?

ANSWER:

Step 1 of 3

We have to calculate the change in the height of the liquid in the tube after ice melts.

The mass of the ice is $m=0.180\ kg=180\ g$ .

Hence the mass of the displaced glycerine is $m=180\ g$

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