If force F, volume V and density D are taken as fundamental quantities, then the representation of pressure P will be
Using the principle of dimensional analysis, the representation of Pressure would be [tex] P = F^{1}V^{-\frac{2}{3}}D^{0}[/tex]
Pressure is related to Force, Volume and Density thus :
[tex] Pressure, P = F^{a}V^{b}D^{c}[/tex]
Using dimensional analysis :
Pressure, P = ML¯¹T¯²Substituting the dimension into the relation :
[tex] ML^{-1}T^{-2}= [MLT¯²]^{a} [L³]^{b} [ML¯³]^{c} [/tex]
[tex] ML^{-1}T^{-2} = M^{a+c}L^{a+3b-3c}T^{-2a} [/tex]
Equating the power ;
a + c = 1 - - - (1)
a + 3b - 3c = - 1 - - - (2)
-2a = - 2
a = - 2/-2
a = 1
From (1)
1 + c = 1
c = 1 - 1 = 0
c = 0
From (2) :
1 + 3b - 3(0) = - 1
1 + 3b = - 1
3b = - 2
b = - 2/3
Hence, [tex] P = F^{1}V^{-\frac{2}{3}}D^{0}[/tex]
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The representation of pressure is:
[tex]P=FV^{-\frac{2}{3} }[/tex]
Given that:
Force F, volume V and density D are taken as fundamental quantities, hence pressure P is:
[tex]P=F^aV^bD^c\\\\(ML^{-1}T^{-2})=(MLT^{-2})^a(L^3)^b(ML^{-3})^c\\\\\\(ML^{-1}T^{-2})=(M)^{a+c}(L)^{a+3b-3c}(T)^{-2a}[/tex]
Hence:-
2 = -2a
a = 1
a + c = 1
1 + c = 1
c = 0
a + 3b - 3c = -1
1 + 3b - 3(0) = -1
3b = -2b = -2/3
Hence the representation of pressure is:
[tex]P=FV^{\frac{-2}{3} }D^{0}\\\\P=FV^{\frac{-2}{3} }[/tex]
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true or false
as mass increases the gravitational force decreases
In the experiment shown below, which is greater, the force of gravity on the pith balls (Fg) or the electrostatic force between them (Fq)?
Answer:
Electronic force
Explanation:
Maybe because its warmer and may have more force
A 25 kg chair initially at rest on a horizontal floor requires a 165 N horizontal force to set it in motion. Once the chair is in motion, a 127 N horizontal force keeps it moving at a constant velocity.
Find the coefficient of static friction between the chair and the floor.
b. Find the coefficient of kinetic friction between the chair and the floor.
a. The coefficient of static friction between the chair and the floor is 0.67.
b. The coefficient of kinetic friction between the chair and the floor is 0.52.
Given the following data:
Mass of chair = 25 kgHorizontal force A = 165 NHorizontal force B = 127 NScientific data:
Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]a. To find the coefficient of static friction between the chair and the floor:
Mathematically, the force of static friction is given by the formula;
[tex]F_s = uF_n = umg[/tex]
Where;
Fs represents the force of static friction.μ represents the coefficient of static friction.[tex]F_n[/tex] represents the normal force.g is the acceleration due to gravity.mμ is the mass of an object.Making μ the subject of formula, we have:
[tex]u=\frac{F_s}{mg}[/tex]
Substituting the given parameters into the formula, we have;
[tex]u=\frac{165}{25 \times 9.8} \\\\u=\frac{165}{245}[/tex]
μ = 0.67
b. To find the coefficient of kinetic friction between the chair and the floor:
Note: The normal force would be the same as above.
[tex]u_k = \frac{F_k}{F_n} \\\\u_k = \frac{127}{245}\\\\u_k =0.52[/tex]
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A boy on a bicycle drags a wagon full of newspapers at 0.80 m/s for 30 min (1800 s) using a force of 40 N. How much work has the boy done
Answer:
N133A
Explanation:black
What can we say about energy on
the low end of the
electromagnetic spectrum?
A. They have longer wavelengths and less dangers.
B. They have lower frequencies and more energy.
C. They have shorter wavelengths and less dangers.
D. They have higher frequencies and more energy.
Answer:
A. Longer wavelengths and less dangers
Explanation:
Radio waves are at the lowest end of the EM spectrum, they have the longest wavelength of any other EM waves, the lowest energy and, accordingly, the lowest frequency;
Their low energy and frequency means they pose little risk of harm or danger as they don't get absorbed by human being.
Which of these is a likely impact of the stronger than normal trade winds on the eastern Pacific ocean?
Warm surface water builds up, causing lower than average temperature.
Warm surface water builds up, causing higher than average temperature.
Warm surface water is reduced, causing colder conditions than normal.
Warm surface water is reduced, causing hotter conditions than normal.
Just say A B C or D which one
Answer:
b i think
Explanation:
hope this helps
Answer: A B C or D which one
Explanation:
learning task 2: assess your health status by using the question below try to determine if you are capable to do the physical fitness test .write your answer in your answer sheet
To assess your health status, it is necessary to take the physical fitness test, which will determine how healthy you are, according to some questions, such as how often you have seen a doctor, how is your heart, etc.
Some sample questions to assess your health status are:
Have you seen a pshysician?Whats your heart condition according to your physician?Are you recommended to do some physical activity?Do you feel any chest pain if you are not doing physical activity?This past few days, do you feel any chest pain if you are not doing phsysical activity?Do you ever lose consciusness or lose your balance because of dizziness?Do you have any joint or bone injury or problem that could be made worse by performing physical activity?Therefore, the physical fitness test is necessary so that a person can perform physical activities safely, avoiding injuries and other associated risks.
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PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!
Imagine that a car is speeding down the highway and it hits a large bump in the road that forces it off the road. What would Newton call that object?
A.
a physical object
B.
a course interrupter
C.
an unbalanced force
D.
an unfortunate event
PLEASE NO LINKS OR I WILL REPORT YOU
Answer:
C. unbalanced force
Explanation:
it is called unbalanced force because it has changed direction of the moving object
A cyclist sitting still at the top of a hill displays gravitational potential energy. What makes it possible for the cyclist to have this type of energy?
Explanation:
because its speed (v) is 0
A balance and a graduated cylinder are used to determine the density of a mineral sample. The sample has a mass of 14. 7 g and a volume of 2. 2 cm3. What is the density of the mineral sample?.
I rode my bicycle to grandmother's house at 6 km/h in a flat road for 5 min before reach a hill. I went at 2 km/h up the hill for 3minutes. I met a friend and stopped to talk for 5 minutes. I went on at 2 km/h to my grandmother's house. Draw (plot) the v against t graph for this motion.
The graph can be plotted based on the given information which are given
in pairs (velocity and time), and which the coordinate pairs are formed.
Please find attached the required v against t graph created with MS ExcelReasons:
The given data are presented in a tabular form as follows;
[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 - 5 &6 \\5 - 8&2\\8 -13&0&\\13- &2&\end{array}[/tex]
The velocity time graph can be plotted using the above table values on
MS Excel using the above table elaborated as follows;
[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 &6 \\5&6\\5 &2\\8&2\\8&0\\13&0&\\13 &2&\end{array}[/tex]
The attached graph can then be created using the Insert → Chart menu
after selecting the data above inputted in the spreadsheet button on MS
Excel.
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discrete packets of kinetic energy in light are called
Answer:
Photons
Explanation:
I just know
Discrete packets of kinetic energy in light are called photons. Photons are fundamental particles of light and electromagnetic radiation. The correct answer is photons.
Photons are fundamental particles of light and electromagnetic radiation. They carry energy in discrete quantities, known as quanta or packets, and exhibit both wave-like and particle-like properties.
The energy of a photon is directly proportional to its frequency, and inversely proportional to its wavelength. When light interacts with matter, it can transfer its energy to the particles it interacts with, leading to various phenomena such as absorption, reflection, and emission.
Therefore, Discrete packets of kinetic energy in light are called photons.
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Hello guys! Can you please help me with physics. I translated it in English. Can yall help me please how much you can!!
A body 60 m above the ground shall be thrown vertically upwards at an initial speed of 20 m / s. Air resistance can be ignored!
1. How high will the body fly from the point of ejection?
2. What is the maximum height it will reach above the ground?
3. How long does it take for the body to reach its highest point from the moment of expulsion?
4. After how long after the expulsion will the body fall to the ground?
5. What is the speed of the body at the moment of falling to the ground?
Answer:
1. 60m
4. its speed is 20m/s . gravity is 10m/s . 20 ÷ 10 = 2 seconds after these 2 sec are over the velocity will be zero thus it would have fallen.
Explanation:
Am sorry these is what i could answer but i will try to research and get answers for the rest of the questions, hope this helps
The difference in particle size of the soil constituents determine its texture.
Answer:Soil texture depends on the size of individual soil particles and is determined by the relative proportions of particle sizes that make up the soil. The texture affects the amount of water that can be absorbed for use by plants and animals.
Explanation:
A container on the highway with a round hemispherical end is considered a(n) _________ pressure container.
Answer:
high pressure container
A container on the highway with a round hemispherical end is considered a(n) High-pressure container.
What is pressure ?Pressure (symbol: p or P) stands the force involved perpendicular to the surface of an object per unit area over which that force exists distributed. 445 Gauge pressure (even spelled Gage pressure) exists the pressure comparable to the ambient pressure.
Various units exist utilized to represent pressure. Some of these derive from a unit of force separated by a unit of area; the SI unit of pressure, the pascal (Pa), Pressure may also be represented in terms of standard atmospheric pressure; the atmosphere (atm) stands equivalent to this pressure, and the tore exists described as 1⁄760 of this.
Hence, A container on the highway with a round hemispherical end is considered a(n) High-pressure container.
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A 1.8 kg book has been dropped from the top of the football stadium. Its speed is 4.8 m/s when it is 2.9 meters above the ground.
A). What is its total mechanical energy? (mechanical energy includes kinetic and gravitational potential)
B). What was the total mechanical energy of the book at the instant it was released?
C). How high is the stadium?
Answer:
Answer:
72.936 Joule
Explanation:
Mechanical Energy = Potential Energy + Kinetic Energy
Kinetic Energy = (1/2) x m x V² = (1/2) x 1.8 x 4.8² = 20.736 J
Potential Energy = m x g x h = 1.8 x 10 x 2.9 = 52.2 J
Total Mechanical Energy = 20.736 + 52.2 = 72.936 Joule
Explanation:
What kind of cord is this no links please
Answer:
if i'm not mistaken that's either a plug in cord for a certain device, or what i am assuming to be a usb software cord.
Explanation:
In what part of the electromagnetic spectrum do the biggest telescopes on earth operate?.
Explanation:
Notice it says above that the largest optical telescopes in the world are reflectors. Optical telescopes collect visible light. Even larger telescopes are built to collect light at longer wavelengths radio waves.
Work is required to lift a barbell. How many times more work is required to lift the barbell 2 times as high
Answer:
2 time
Explanation:
when distance double the work double
An astronomer discovers a massive galaxy which has four nuclei. What is a likely explanation for a galaxy having more than one nucleus
The universe is made of a lot of galaxies. The likely explanation for a galaxy having more than one nucleus is that the galaxy must have swallowed several smaller galaxies that were its neighbors.
There are some reason behind the theory that the eating up of a galaxy is by another galaxy. The galaxy is said to have a powerful past due to the fact that a lot of smaller galaxies were eaten up.The universe is known to have a very largest galaxy called the giant elliptical galaxy that is made up of about a trillion stars.
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A boy pushes a stationary box of mass 20 kg with a force of 50 N.
Calculate the acceleration of the box. (Assume that there is no friction.)
Answer:
2.5m/s^2
Explanation:
Since there is no friction, the only force acting on the box is the applied force
We can now use the equation Fnet = ma
and we can rearrange for a
a = Fnet/m
now input the values
a = 50N/20kg
a = 2.5 m/s^2
which color of light, red or blue, travels faster in crown glass?
Answer:
Red
Explanation:
The index of refraction for red light in crown glass is smaller than the index of refraction for blue light, which means the speed of red light is larger than the speed of blue light in crown glass.
how does amplitude determine loudness?
Answer:
Explanation:
Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder.
Answer:
Amplitude determines the loudness of a wave. Greater the amplitude, greater is the loudness.
Explanation:
Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder. ... The same amount of energy is spread over a greater area, so the intensity and loudness of the sound is less.
I hope this helps have a great day :)
why would a balloon attract your hair without touching it?
Answer:
Hold the balloon (negatively charged) just above your head so your hair (positively charged) will be attracted to it and stand up on end. ... The can will start to roll towards the balloon without touching it. The negatively charged balloon repels the electrons of the can so that a positive charge is near the balloon.
Explanation:
I gave my explanation along with the answer.
I need help quickly pls
Answer:
Ok I'm not 100% on this one but, try 3 lifes sorry if u get it wrong D:
Explanation:
what do u guys think of my drawing?
Answer: yess sirrrrrrrr
Explanation:
Answer:
oou I like it! u did a good job ^^
Column A
Column B
1.
Frequency
a. Ohm
2.
Amplitude for sound
b. Decibel
3
Force
C. Joule
4
Distance
d. Newton
5.
Current
e. Amperdiet
6.
Resistance
f. Meter
7.
Voltage
g. Hertz
8.
Energy
h. Volt
Answer:its 3 and 5
Explanation:
j
A ball is fired from a cannon at point 1 and follows the trajectory shown in the figure below. Air
resistance may be neglected. Five possible vectors are also shown in the figure; the letter E represents
the zero vector.
D
E:
C
B
a
Which vector best represents the ball's velocity at position 2?
Which vector best represents the ball's acceleration at point 2?
Which vector best represents the ball's velocity at position 3?
Which vector best represents the ball's acceleration at point 3?
du
b)
A
d)
In trajectory, acceleration vector is not the same with the velocity vector but it depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path. The Correct answers are:
a.) D
b.) B
c.) C
d.) A
A Vector is a quantity that has both magnitude and direction.
Given that a ball is fired from a cannon at point 1 and follows the trajectory shown in the figure.
a.) The vector best represents the ball's velocity at position 2 is D
b.) The vector best represents the ball's acceleration at point 2 is B
c.) Which vector best represents the ball's velocity at position 3 = C
d.) Which vector best represents the ball's acceleration at point = A
In trajectory, acceleration vector is not the same with the velocity vector but depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path.
At point 3, since the ball path is parabolic, the velocity at that point is not equal to zero but will tend to take a horizontal path.
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Fill out the material order form with the Quantity (number of each item) and total cost for
that item (Cost Quantity). Add the totals to ensure you do not exceed $100.
YOU HAVE $100 TO SPEND. NO BONUS POINTS FOR SAVING S.
Use the materials carefully, as they will not be replaced if you damage
them.
Material
Cost ($) Quantity
Cost x Quantity
Straw
2
Paperclip (large)
2.
String (12")
3
Tooth pick
3
Cup
5
Rubber band
5
7
Tape (0.5 m)
7
Paper (8.5" x 11")
Tissue Paper
10
Duct Tape
(.25m)
).
10
Cotton ball
12
Balloon
15
Paper plate
15
Total Cost =
Answer:
Explanation:
Material: Cost ($): Quantity: Cost x Quantity:
Straw 2$ 2x 2$ x 2
Paperclip 2$ 2x 2$ x 2
String 3$ 1x 3$ x 1
Toothpick 3$ 1x 3$ x 1
Cup 5$ 1x 5$ x 1
Rubber band 5$ 1x 5$ x 1
Tape 7$ 1x 7$ x 1
Paper 7$ 1x 7$ x 1
Tissue Paper 10$ 1x 10$ x 1
Duct Tape 10$ 1x 10$ x 1
Cotton ball 12$ 1x 12$ x 1
Balloon 15$ 1x 15$ x 1
Paper Plate 15$ 1x 15$ x 1
total: 100$
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