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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What is the mass, in kilograms, of a large dog that weighs 441 newtons?
Answer:
441 Newtons equals 44.97 kilograms.
light of wavelength 520 nm falls on a slit that is 3.20 um wide. Estimate how far the first bright-sh difrrection fringe is
Answer:
because of the gravity of the earth
The total mass of the carts is 1000 kg. The first
drop is 77.7 m. What is the speed of the coaster
at the bottom of the hill?
Answer:41xm/s
Explanation:
Answer:41xm/s
Explanation:
I found this for you hope it helps.
What’s the mass of the continent?
Answer:
Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rockiam help for youthankscommentflowing3. Would prudent to do an observatory M 82 for this class?
Answer: Yes,
If you need any other thing let me know, I'll still be on
Explanation:
A child sits on a rotating merry-go-round, 2.1 m from its center. If the speed of the child is 2.2 m/s, what is the minimum coefficient of static friction between the child and the merry-go-round that will prevent the child from slipping?
We have that the the minimum coefficient of static friction is mathematically given as
[tex]\mu= 0.235[/tex]
ForceGenerally the equation for the Force is mathematically given as
[tex]F=n\mu\\\\Where\\\\n = mg\\\\Given\\\\Fc = m(vt2/R)\\\\Therefore\\\\\mu = vt2/gR\\\\\mu = 2.22/(9.8(2.1)) \\\\[/tex]
[tex]\mu= 0.235[/tex]
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What is the relationship between momentum and kinetic energy.
Answer:
constant object, momentum increases directly with speed
Explanation:
whereas kinetic energy increases the square of the velocity due to energy momentum
State the universal law of gravitation.
Answer in detail
Answer:
Explanation:
Newton's law of universal gravitation is that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
A boulder of mass 10 kg rolls over a cliff and reaches the beach below with a velocity of 15 m/s. Find:
a. the kinetic energy of the boulder as it lands;
b. the potential energy of the boulder when it was at the top of the cliff
c. the height of the cliff.
Answer:
formular kinetic energy=1/2 ×vIn a hydraulic press a force of 200N is applied to a master piston of area 25Cm2.if the press produces 500N determine the area of the piston.
Answer:
625 GIVE ME BRAINLIEST ANSWER PLEASE
Explanation:
This question is based on pascal's Law.
So By Pascal's Law
=
therefore =force on input piston =200N
= Force on output piston = 5000N
therefore after putting the values we get,
a) = (25x 5000)/200
= 625
b) area of the salve piston = = 625
so = 625/3.14 = 199
so r = = 14.10 cm
. Quỹ đạo chuyển động của một vật là
Answer:
you are very kind Po lang
A block of weight W is pulled a distance L along a horizontal table. The work done by the weight is ?
The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat’s average kinetic energy? (1 kJ = 1000 J)
Need answers with explanaitions please
A. 4.2 kJ
B. 8.3 kJ
C. 69.0 kJ
D. 139.0 kJ
Answer:
C.69 kJ
Explanation:
kinetic energy
[tex] = 1 \div 2mv {}^{2} [/tex]
How to calculate angular velocity.
Answer:
Answer below
Explanation:
We can rearrange this statement to get the angular velocity equation: = r v / |r|2, where all of these variables are vectors and |r| is the radius's absolute value. The angular velocity is really a pseudovector with a direction perpendicular to the plane of rotational movement.
The rotating movement of bodies is described by angular velocity. It determines how quickly they rotate around a central point. Rotations may be divided into two categories. The first explains the motion of an object's centre of mass around a certain point in space, which is referred to as an origin. Planets orbiting the Sun, for example, or an automobile exiting a roadway are two instances.
The first angular velocity equation is similar to the linear velocity equation: = (2 - 1) / t = / t, where 1 and 2 are two values of angles on a circle, and is the difference between them. t is the time it takes for the angle to shift. As you can see, there is a ratio of the positional change in a period for normal velocity, but we utilise angle instead of distance here. Definition of angular velocity using linear velocity The second angular velocity formula, v = r, may be obtained from the linear velocity and radius relationship using the cross product.
_______________________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
What is a lol diagram.
Answer:
LOL Diagrams
a way to represent how the energy is stored in the chosen system during various snapshots and to represent any changes in total energy for the system. Each “L” represents how the energy is stored during a particular snapshot (instant). The “O” shows the objects inside and outside the system.
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.
why do we believe 90 percent of the mass of the milky way is in the form of dark matter?
Answer:
The orbital speeds of stars far from the galactic center are surprisingly high, suggesting that these stars are feeling gravitational effects from unseen matter in the halo.
which wave has a higher frequency and why?
Explanation:
the figure in the left side has higher frequency.
because it has more nos. of wave in 1sec.
Which molecule is a high-energy output of the light reactions?.
Answer:
Gallium Arsenine
Explanation:
HEEEEEELLLLLLLLPPPPPPPP!!!!!!!!!!
Answer:
True
True
False (Temperature measures the average kinetic energy of the particles in a substance. Thermal energy measures the total kinetic energy of the particles in a substance.)
False (is true only if both object have the same mass)
False (it's 100°)
True
True
True
True
False (Substances with a high specific heat require a lot of heat to have their temperature raised by one degree. On the other hand, substances with a low specific heat require a smaller amount of heat, like most metals)
what is faster?
A. train
B. bus
C. airplane
D. boat
Answer:
airplane
Explanation:
Answer:
a plane would go by far the fastest
Explanation:
it would be airplane ,train, boat, bus
1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?
The amount of potential energy the block contains is 2,822.4 Joules
Given the following data:
Mass of block = 12 kgHeight of platform = 24 meters.We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].
To determine the amount of potential energy the block contains:
Mathematically, potential energy (P.E) is given by the formula;
[tex]P.E = mgh[/tex]
Where:
m is the mass of object.g is the acceleration due to gravity.h is the height of an object.Substituting the parameters into the formula, we have;
[tex]P.E = 12 \times 9.8 \times 24[/tex]
Potential energy (P.E) = 2,822.4 Joules
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If your neighbor leaves his house, walks 2 miles south, then turns around and walks home, what is his displacement?
Answer:
0
Explanation:
The neighbors displacement is 0 as displacement is how far the person is from their starting location. If they walk 2 miles away and then head back those 2 miles back to their house; 2-2=0
The person is in motion
relative to...
Answer:
muscular force in relative to this
when energy from battery was added to water, were the gases produced by this made of the same particles as those produced from heating the water?
Batteries often convert chemical energy directly to electrical energy.
From the experiment, the constructed conclusion was that;
The Two different gases with different properties are made from adding energy from a battery to water. The particles that make up these different gases is different from each other. They are different than the ones that were made from heating water.The matter that is composed of substances have to originate from matter that made up some of the original water particles.
When energy from a battery is added to water, two streams of gas bubbles is said to be produced. Then a lit match is put into trapped gas from these two sources, one pops and the other glows brighter.
The study was to test the flammability of gases produced by providing energy to water with electricity.
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the primary factor in decreasing the kinetic energy of an object is to
Answer:
Decreasing the velocity
Explanation:
The primary factor in decreasing the kinetic energy of an object is to decrease the velocity of the object.
What is Kinetic energy?The kinetic energy of an object is the energy which it possesses due to the motion of the object. Kinetic energy is defined as the work which is needed to accelerate an object of a given mass from the state of rest to its stated velocity and direction. Gain of the energy during the acceleration of an object, the body maintains this kinetic energy unless its speed changes and the object accelerates.
The kinetic energy is directly proportional to the mass and the velocity of the object. The primary factor which is responsible for the decrease in the kinetic energy of an object is to decrease the velocity of the object.
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An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3. Determine the density of the object
The density of the object is 5911.94 kg/m³
An object's buoyancy is the upward force produced by a fluid in opposition to the weight of a partly or totally submerged object.
The buoyancy = weight of the object - weight in water
= 15 N - 13N
= 2 N
The buoyancy force can also be determined by using the expressed:
[tex]\mathbf{F_B = Volume (V) \times density ( \rho) \times g}[/tex]
[tex]\mathbf{2 = Volume (V) \times788 \ kg/m^3 \times9.8 }[/tex]
[tex]\mathbf{ Volume (V) = \dfrac{2}{ 788 \ kg/m^3 \times9.8 }}[/tex]
volume (v) = 2.589 × 10⁻⁴m³
Recall that:
The mass of an object can be estimated by using the formula:
Weight = mass × gravity
mass = Weight / gravity
mass = 15/9.8
mass = 1.5306 kg
The density of the object can now be calculated using the relation
Density = mass/volume
Density = 1.5306 kg / 2.589 × 10⁻⁴m³
Density = 5911.94 kg/m³
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6. Explain the importance of the law of conservation of mass.
Answer:
According to the law of conservation of mass, the mass of the products in a chemical reaction must equal the mass of the reactants. The law of conservation of mass is useful for a number of calculations and can be used to solve for unknown masses, such the amount of gas consumed or produced during a reaction.
Explanation:
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What two things must be true about a sample in order to date it via radiocarbon dating by evaluating the decay of carbon-14
A. It must be inorganic and be at least 50,000 years old
B. It must be a marine animal and must have died recently
C. It must be organic and less than 50,000 years old
D. It must be a land animal and must have died recently
Carbon -14 is a dating method that is applicable to only samples of organic origin which are less than 50,000 years old.
When living things contain carbon- 14. Carbon - 14 is a radioactive isotope of carbon that decays by beta emission. As long as a plant or animal is alive, there is a balance between its intake and output of carbon -14.
However, when the plant or animal dies, this carbon - 14 begins to decay. The half life of carbon - 14 is 5700 years and it can be used to measure the age of materials or organic origin that are less than 50,000 years old.
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The main goal of every defense is to __________. A. stop the ball B. regain possession of the ball C. protect the goal or basket D. all of the above
Answer:
D.
Explanation:
I believe it is D. Because in defense you are to stop others from scoring, while trying to score. But also while trying to protect the Goal or basket. I hope this helps you out.
Answer:
d
Explanation:
