s correct, but please write find my wrong in my explanation(process detail). Also, watch the professor's comment. I attach the image and write my process

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 46P
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My answer is correct, but please write find my wrong in my explanation(process detail). Also, watch the professor's comment.

I attach the image and write my process of explanation and the professor's process and comment.

 

1. A cup of water containing an ice cube at 0°C is filled exactly to the brim (so that a single extra drop would make the
water spill). The very top of the ice cube sticks out of the surface. As the ice melts, you observe that
a. the cup overflows.
b. the cup might overflow but it depends on the actual mass of the ice cube.
c. the water level remains the same.
d. the water level actually goes down.
e. There is not enough information to answer this question.
(Be sure to explain *in exact detail* how you decide your answer to this question. A complete answer will discuss the buoyancy force
as well as the masses, densities and volumes of both the ice and the water. Be sure to include in your explanation what happens to the
molecules that make up the part of the ice cube that sticks out above the water.)
The ice is less dense than the water so it floats and a little bit of the ice
sticks out of the water-the volume of the ice is larger than the
volume of displaced fluid. But since the ice isn't accelerating, the
forces on it are balanced– the weight of the ice is balanced with the
buoyant force, which is equal to the weight of the displaced water. So
the mass of the ice equals the mass of the displaced water. As the ice
melts it's volume shrinks, but it's mass stays the same-so when the
ice has melted completely iť's water exactly fills the volume of the
previously displaced water that the ice had been floating in. →
water level remains the same
The
Transcribed Image Text:1. A cup of water containing an ice cube at 0°C is filled exactly to the brim (so that a single extra drop would make the water spill). The very top of the ice cube sticks out of the surface. As the ice melts, you observe that a. the cup overflows. b. the cup might overflow but it depends on the actual mass of the ice cube. c. the water level remains the same. d. the water level actually goes down. e. There is not enough information to answer this question. (Be sure to explain *in exact detail* how you decide your answer to this question. A complete answer will discuss the buoyancy force as well as the masses, densities and volumes of both the ice and the water. Be sure to include in your explanation what happens to the molecules that make up the part of the ice cube that sticks out above the water.) The ice is less dense than the water so it floats and a little bit of the ice sticks out of the water-the volume of the ice is larger than the volume of displaced fluid. But since the ice isn't accelerating, the forces on it are balanced– the weight of the ice is balanced with the buoyant force, which is equal to the weight of the displaced water. So the mass of the ice equals the mass of the displaced water. As the ice melts it's volume shrinks, but it's mass stays the same-so when the ice has melted completely iť's water exactly fills the volume of the previously displaced water that the ice had been floating in. → water level remains the same The
A cup of water containing an ice cube at 0"C is filled exactly to the brim (so that a single extra drop would make the
water spill). The very top of the ice cube sticks out of the surface. As the ice melts, you observe that
the cup overflows.
b. the cup might overflow but it depends on the actual mass of the ice cube.
e the water level remains the same.
d. the water level actually goes down.
There is not enough information to answer this question.
1.
a.
e.
(Be sure to explain "in exact detail" how you decide your ansoer to this question. A complete anstwer will discuss the buoyancy force
2s well as the masses, densities and volumes of both the ice and the water, Be sure to include in your explanation what happens to the
molecules that make up the part of the ice cube that sticks out above the water.)
AL equilibrivm
う VP。うPwg
v, : Vx7.-D
As ter melting
(VPs ) will trom liquid
Ve = V),
2 V
John P Schaub
I don't understand this line. It doesn't
look like you solved the previous line
Now Volume of liqui2
for vx because there's a bunch of
as v, - VR
devel will vemuin
Same
stuff missing.
Transcribed Image Text:A cup of water containing an ice cube at 0"C is filled exactly to the brim (so that a single extra drop would make the water spill). The very top of the ice cube sticks out of the surface. As the ice melts, you observe that the cup overflows. b. the cup might overflow but it depends on the actual mass of the ice cube. e the water level remains the same. d. the water level actually goes down. There is not enough information to answer this question. 1. a. e. (Be sure to explain "in exact detail" how you decide your ansoer to this question. A complete anstwer will discuss the buoyancy force 2s well as the masses, densities and volumes of both the ice and the water, Be sure to include in your explanation what happens to the molecules that make up the part of the ice cube that sticks out above the water.) AL equilibrivm う VP。うPwg v, : Vx7.-D As ter melting (VPs ) will trom liquid Ve = V), 2 V John P Schaub I don't understand this line. It doesn't look like you solved the previous line Now Volume of liqui2 for vx because there's a bunch of as v, - VR devel will vemuin Same stuff missing.
Expert Solution
Step 1

A cup of water containing an ice cube at 0oC is filled exactly to the brim [ So that a single extra drop would make the water spill]. the very top of the ice cube sticks out of the surface. As the ice melts, you observe that. 

Choice the correct option 

  1.  The cup overflows 
  2. The cup might overflow but it depends on the actual mass of the ice cube 
  3. The water level remains the same 
  4. the water level actually goes down 
  5. there is not enough information to answer this question. 

 

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