1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PolarNik [594]
2 years ago
13

What % of an object’s mass is below the water line if the object’s density is 0.63g/ml?

Physics
1 answer:
tiny-mole [99]2 years ago
5 0

<u>Answer:</u>


According to the <u>Archimedes’ Principle</u>, <em>a body totally or partially immersed in a fluid at rest, experiences a vertical upward thrust equal to the mass weight of the body volume that is displaced.</em>


In this case we have an object partially immersed in water.


If we observe in <u>the image attached</u>, this object does not completely fall to the bottom because the net force acting on it is zero, this means <u>it is in equilibrium</u>.



This is due to <u>Newton’s first law of motion:</u> if a body is in equilibrium the sum of all the forces acting on it is equal to zero


F_{total}=0    (1)



Here, <u>the object experiences two kind of forces</u>:


A force downwards because of its weight:


<h2>W=mg  (2) </h2>

Where m is the mass of the object and g the acceleration of gravity, which in this case (on earth) is 9.8\frac{m}{s^{2}}



And a force applied upwards because of the buoyancy:


<h2>F_{buoyancy}=d_{w}gV_{i}   (3) </h2>

Where;


d_{w} is the <u>density of Water</u> which is 1\frac{g}{ml}  

And V_{i} is <u>the volume of the immersed part of the object</u>



Well, if the total net force exerted to the object is zero:


F_{total}= F_{buoyancy}-W=0    Note W has a negative sign because this force is applied downwards  


This means the buoyancy is equal to the weight:


<h2>F_{buoyancy}=W    (4) </h2>

d_{w}gV_{i}=mg    (5)


Dividing by   g in both sides:


d_{w}V_{i}=m    (6)



Now, <u>the density</u> of an object or fluid is the relation between the mass and the volume, in the case of the object of this problem is:



<h2>d=\frac{m}{V}    (7) </h2>

Where V is the <u>Volume of the object</u>.



From (7) we can find the mass of the object:


<h2>m=dV    (8) </h2>

and substitute this value in (6), in order to get a relation between the density of the object and the density of the water, as follows:


d_{w}V_{i}= dV    



\frac{V_{i}}{V} =\frac{d}{ d_{w}}    (9)



<h2>\frac{V_{i}}{V}=\frac{d}{d_{w}}=\frac{0.63g/ml}{1g/ml}  </h2><h2 />

Then;


<h2>\frac{0.63g/ml}{1g/ml}=0.63  </h2><h2 />

This result is the same as \frac{63}{100} which represents the 63\%



Therefore the answer is:


<h2>63\% of the mass of the object is below the water line  or <u>immersed in water </u></h2>

You might be interested in
Wegener believed continents moved, but he did not know how. Identify what needed to happen before Wegener's idea about moving co
pochemuha

D. Advances in technology were needed to gather more evidence.

Explanation:

New technologies had to be developed to ascertain Wegener's claims.

The major flaw in Wegener's postulate was that the moving continents lacked a mechanism to drive them into motion.

His theory needed more scientific backing also.

  • A major leap was made when new technologies used during the second world war was deployed to investigate the ocean floor.
  • Sequences of magnetic anomalies were unraveled using equipment developed during the second world war
  • This gave further proof to the idea of continental drift and it expanded the theory into a more broader and inclusive theory of plate tectonics.

Learn more:

Wegener brainly.com/question/5002949

#learnwithBrainly

6 0
2 years ago
How do you measure the wavelength of wave?
Tasya [4]

Explanation:

by finding the distance between two successful crest

6 0
2 years ago
Read 2 more answers
To become positively charged an átom must
Ivanshal [37]

Lose electrons because they have a negative charge.

7 0
2 years ago
Read 2 more answers
What affect does a doubling of the net force have upon the acceleration of the object?
balandron [24]
F = ma
a = f/m
if f doubled , acc. will be doubled
5 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP
Kisachek [45]

Answer:

has more energy, has a greater amplitude, has a higher frequency

Explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • If you apply a 4 N force to a 2 kg object, how fast will it accelerate? (Your
    5·1 answer
  • Cany anyone teach me how to use the vernier callipers?
    7·1 answer
  • What is the most important ability of plants? To photosynthesis To have a cell wall To produce Carbon dioxide
    12·1 answer
  • You just calculated that the heat of fusion for chloromethane is 6400 J/mol. The heat of fusion for hydrogen is 120 J/mol. Which
    5·1 answer
  • The lithosphere is made up of the ____
    9·2 answers
  • A recent study found that electrons that have energies between 3.45 eV and 19.9 eV can cause breaks in a DNA molecule even thoug
    6·1 answer
  • At highway speeds, a particular car is capable of an acceleration of about 1.6 m/s?. At this rate,
    11·1 answer
  • In a stunt, three people jump off a platform and fall 8.5 m onto a large air bag. A fourth person at the other end of the air ba
    12·1 answer
  • Altuve hits a ball with a bat. The action force is the impact of the bat pushing against the ball. What is the
    7·2 answers
  • If the volume of the cylinder is to be calculated, what would be the total standard deviation of the volume?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!