Answers
Archimedes' principle allows us to solve this problem, find:
a) the submerged part h = 2.04 m
b) the downward force W = 3.9 10⁹ N
c) the upward force B = 4 10⁸ N
d) The free-body diagram attach
The parameters given
* The tanker mass with oil M = 400000 Tonnes (10³ kg/1 tonn) = 4 10⁸ kg
* The length and width of the tanker l = 500m and w= 40m
To find
* the submerged part of the tanker
* The force in the tanker
* free body diagram
Fluid mechanics exercises, the Archimedes' principle says that the hydrostatic thrust of a fluidIn on a body is equal to the weight of the desalted liquid.
B = [tex]\rho \ g \ V_{body}[/tex]
Where ρ is the density of the fluid in this case water (ρ = 1000 kg /m³), g is the acceleration of gravity (g = 9.80 m / s²) and V_{body} is the volume of the tanker.
a) In the attached diagram we can see the forces involved, we apply the equilibrium equation
B - W = 0
The volume of the submerged tanker is
V_{body} = l w h
Where l and w are the length and width of the tanker and h is the submerged quantity
We substitute
ρ g (l w h) = W
[tex]h = \frac{W}{\rho \ g\ l \ w}[/tex]
We calculate
h = 4 10⁸ / (10³ 9.8 500 40)
h = 2.04 m
The submerged quantity of tanker using Archimedes' principle is
h = 2.04m
b) The downward force on the tanker's weight
W = m g
W = 4 10⁸ 9.80
W = 3.9 10⁹ N
c) the upward force is the thrust
B = ρ g
B = 1000 9.8 (500 40 2.04)
B = 4 10⁸ N
d) in the attachment we can see a free body diagram with the two forces on the tanker: the weight down and the fluid push up
Archimedes' principle allows finding the submerged part of the tanker
h = 2.04 m
Learn more about Archimedes' principle here:
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Related Questions
When a piece of metal mass of 72.17 g is
dropped into a graduated cylinder containing
20.92 mL of water, the water level rises to
26.64 mL. What is the density of the metal?
Answer in units of g/cm3
.
Answers
Answer:
Explanation:
The trick is in finding the volume.
Final Volume = 26.64
Initial Volume=20.92 Subtract
Metal Volume 5.72 cm^3
Density = mass / volume
Density = 72.17 / 5.72
Density = 12.617
What is the average velocity of the particle from rest to 9 seconds?
OA.
1 meter/second
OB.
2 meters/second
OC.
3 meters/second
OD.
4 meters/second
Answers
Answer:
B 2m\s
Explanation:
18 m of displacement over the course of 9 seconds
18/9 = 2 m\s
Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.81e+3 N/m, and the block has a mass of 0.988 kg. There is a constant force of kinetic friction between the mass and the floor of 1.79 N. Starting with the spring compressed by 0.172 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at at the spring's equilibrium position, marked x=0 in the figure.
Answers
K1Answer:
s= 6.5cm
Explanation:
Point 1: just right before the block leaves the spring
Point 2: the block has v2=0 (stops moving)
Apply Kinetic-Work Theorem:
K1 + U1 + Wother = K2 + U2
K1=0
U1= 1/2×k×x² (k= 1.81e+3 N/m and x= -0.172 m)
Wother = F×s= 1.79×s
K2=0
U2=0
=> s= 6.5cm
This is my attempt to solve. Let me know if this isn't right
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Answer:
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Question 3 A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five seconds after he passes her car, she starts following after him. What is the shortest possible distance in which she will catch up to the cyclist if he maintains hrs speep and she obeys the speed limit of 70 km/hr? The car has a maximum acceleration
Answers
The shortest possible distance in which she catches up with the man is 129.7 m.
The given parameters:
speed of the man, v₁ = 40 km/hr
speed of the woman, v₂ = 70 km/hr
time when the woman started moving, t₁ = 5 seconds
To find:
the shortest distance when she catches up with the manConvert the given speed in km/h to m/s
3.6 km/h = 1 m/s40 km/h = 40/3.6 = 11.11 m/s70 km/h = 70/3.6 = 19.44 m/sCalculate the distance moved by the man before she started following him.
Distance moved by the man = speed x time
= 11.11 m/s x 5 s
= 55.55 m
Let the time the woman catches up with the man = t
Apply the following simple principle to calculate the time.
The man is moving forward and the woman is moving forward to close the gap between them, thus both speeds are working against each other.
[tex](v_2-v_1)t = 55.55 \ m[/tex]
the difference in the speed is because they are working against each other.[tex](19.44 - 11.11)t = 55.55\\\\8.33t = 55.55\\\\t = \frac{55.55}{8.33} \\\\t = 6.67 \ s[/tex]
The time when the woman catches up with the man = 6.67 s
The shortest distance at which the woman catches up with the man is calculated as;
Shortest distance = woman's speed x time when she catches up
= 19.44 m/s x 6.67 s
= 129.7 m
Thus, the shortest possible distance in which she catches up with the man is 129.7 m.
Learn more here: https://brainly.in/question/9541933?tbs_match=3
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Answers
la respuesta es 459.183673 kg s2 / m
Answer:
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Explanation:
4500(9.8) = 44,100
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C. It can be used to show as much detail as is present in the actual
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OD. Only a few factors in the water cycle can be shown on the
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Explanation:
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Answer:
We may have people making habitats on asteroids ... I know that humans will colonize the solar system and one day go beyond. Richard Gott has estimated that the human race could survive for another 7.8 million years, but it is not likely to ever colonize other planets.
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Answers
Explanation:
The value of mass of a body is not same everywhere.
Because it depends on gravity and the gravity isn't same at every places.
Answer:
Mass is the quantity of matter contained in a body, while weight is the force by which the body is pulled to the earth's center. Mass is an intrinsic property of a body, as it remains the same everywhere in the universe. Weight is variable due to change in the magnitude of the gravitational force applied by the earth.
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Answers
Nitrogen gas has a molar mass of about 28.0134 g/mol. Then we have a starting amount of
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[tex]{ \sf{degree \: celcius}}[/tex]
Answer:
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Answer:
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The other person answered
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Answers
Answer:
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The ring does not move means that the forces are equal.
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Answers
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Answers
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Answers
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Answers
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b. The acceleration of the ball is given by the acceleration due to gravity
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[tex] v_{f} = v_{0} - gt [/tex]
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[tex]v_{0}[/tex]: is the initial speed = 3.1 m/s
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You can see another example of velocity here: https://brainly.com/question/13388351?referrer=searchResults
I hope it helps you!
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Answers
Answer:
Crowbar is a tool made of metal rods that are flattened at both ends, with one of them curved. There is also a crowbar that is curved at both ends.
hope it helped
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Answers
Answer:
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Answers
Answer:
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Answers
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Answers
Previous Answer:
Aristotle
Change:
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Answer:
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Answers
Explanation:
Since the gravitational force is inversely proportional to the square of distance, changing the distance to half the original results in 4 times the original force
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We now know that that is___
not true.
true
Answers
Answer: not true
Explanation: mass < weight
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a) Explain why the trolley starts to
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b) Calculate the magnitude of the
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anyone here cold helps me to solve and explain the answer... thanks in advance
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Answer:
The trolley moves because a force of exertion is pushed onto it when the boy launches himself onto it. It also moves in a direction, so velocity is applied to it.
The velocity goes from stand-still to something. Also, to find velocity, I think acceleration and time are 2 constants that are needed to find velocity, which is not present in the question.
Sorry if this is not the answer you wanted.. I just gave a basic guess as to what I think the answer is. I just started to learn physics.
Explanation:
What is term for the group of phenomena that includes, melting, boiling, freezing, and condensation?
Phase Change
Seasonal Change
State Change
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Answers
A positively charged glass rod is bought close to a suspended metal needle. What
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a) attracted ?
b) repelled ?
Answers
Answer:
attracted
Explanation:
opposite charges attract each other when the rub against each other
Answer:
This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).