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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explain the production of current with the help of a magnet and describe which device works on this phenomena
Answer:
Explanation:
The properties of magnets are used to make electricity. Moving magnetic fields pull and push electrons. ... Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current.
A narrow slit is illuminated with sodium yellow light of wavelength 598 nm. If the central maximum extends to latex: \pm30^\circ± 30 â, how wide is the slit?.
Answer:
because of the gravity of the earth
Which object is moving faster?
A
Answer:
A
Explanation:
Answer:
A
Explanation:
please help me solve all of them ( a, b, c and d ) thankiew !!
I’m also kind of in a rush
Answer:
a-
V= IR
9V = I ×( 12+6)
I = 9/ 18 A = 0.5 A
b
V=IR
240 = 6 A ×( 20 + R)
40 = 20 + R
R = 20 ohm
c
resultant resistance of the 2 parallel resistances= Ro
1/Ro = 1/ 5 + 1/ 20
1/Ro =( 20+5)/100
= 1/Ro = 1/4
Ro= 4 ohm
V=IR
V = 2A × ( 1+ 4 OHM)
V = 10V
d
equivalent resistance = Ro
1/Ro = 1/(2+8) + 1/(5+5)
1/Ro = 1/10 +1/10
2/10 = 1/ Ro
Ro= 10/2 = 5 ohm
V = IR
12V = I × 5Ohm
I=2.4 A
Why does the blue force have a negative sign?
-20 N
50 N
Because 50 is smaller than 20
Because 20 is smaller than 50
Because it is pointing to the left
Because it is blue
Dave and Alex push on opposite ends of a car that has a mass of 875 kg. Dave pushes the car to the right with a force of 250 N, and Alex pushes to the
left with a force of 315 N. Assume there is no friction.
What is the net force on the car in the x-direction? Help meee please
The net force acting on the car is 65 N to the left
The net force acting on an object is simply defined as the resultant force acting on the object.
From the question given, we obtained the following data:
Force applied to the right (Fᵣ) = 250 NForce applied to the left (Fₗ) = 315 NNet force (Fₙ) =?The net force acting on the car can be obtained as follow:
Fₙ = Fₗ – Fᵣ
Fₙ = 315 – 250
Fₙ = 65 N to the leftTherefore, the net force acting on the car is 65 N to the left
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Since there is no friction, the net force on the car in the x - direction will be 65 Newtons
Given that Dave and Alex push on opposite ends of a car that has a mass of 875 kg.
Dave pushes the car to the right with a force of 250 N, which is positive direction and Alex pushes to the left with a force of 315 N which is negative direction. Since there is no friction, only the horizontal forces will be considered.
To calculate the net force on the car in the x-direction, we will find the difference between the two forces because of their directions are opposite to each other.
Net force = 315 - 250
Net force = 65 Newtons
Therefore, the net force on the car in the x - direction will be 65 Newtons
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if a car travels around a circular track with a radius of 100 m once every 10s what will its average angular velocity around the track be?
Answer:
0.628 radians per second
Explanation:
Angular velocity
= 2pi/T
= 2(3.14159)/10
= 0.628 radians per second
The average angular velocity around the track is 62.8 m/s, using the circumference of the track as the total distance.
Average angular velocity:What information do we have?
Radius of track = 100 m
Time taken = 10s
Circumference of track = 2πr
Circumference of track = 2(3.14)(100)
Circumference of track = (2)(314)
Circumference of track = 628 m
Average angular velocity around the track = Circumference of track / Time taken
Average angular velocity around the track = 628 / 10
Average angular velocity around the track = 62.8 m/s
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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
if the velocity of gas molecules is doubled the its kinetic energy will be
Answer: Quadrupled
Explanation:
Because when it’s doubled they are going to make another pair so 2+2=4
What is carbon dating?
Answer:
Im pretty sure its number 2
Explanation:
The first one a scientific way of finding the age of something that is very old (such as a dinosaur bone) by measuring the amount of certain forms of carbon in it
The half life of carbon-14 is 5730 years. How old is a bone if it presently contains 0.3125 g of carbon-14, but it was estimated to have originally contained 80 g of carbon-14?
The age of the bone is 45840 years.
We'll begin by calculating the number of half-lives that has elapsed.
Amount remaining (N) = 0.3125 g
Initial amount (N₀) = 80 g
Number of half-lives (n) =?N × 2ⁿ = N₀
0.3125 × 2ⁿ = 80
Divide both side by 0.3125
2ⁿ = 80 / 0.3125
2ⁿ = 256
2ⁿ = 2⁸
n = 8Thus, 8 half-lives has elapsed
Finally, we shall determine the age of the bone.
Half-life (t½) = 5730 years
Number of half-lives (n) = 8
Time (t) =?t = n × t½
t = 8 × 5730
t = 45840 yearsTherefore, the age of the bone is 45840 years.
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Every atom contains a
.............. which is positively charged
Answer:
Proton
Explanation:
The nucleus has an overall positive charge as it contains the protons. Every atom has no overall charge (neutral). This is because they contain equal numbers of positive protons and negative electrons.
A bullet of mass 6.00 gg is fired horizontally into a wooden block of mass 1.20 kgkg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.190. The bullet remains embedded in the block, which is observed to slide a distance 0.270 mm along the surface before stopping.
(a) What was teh initial speed of the bullet?(b) What kind of collision took place between the bullet and the block? Explain your answer comparing the values of the kinetic energy before and after the collision.(c) Calculate the impulse of the block from the moment just after the impact to his final position. Analyze the result.
Answer:
A 5.00-g bullet is fired horizontally into a 1.20-kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.230 m along the surface before stopping.
Explanation:
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 ×vWhat factors determine climate?
Answer:
here
Explanation:
Climate is determined by the temperature and precipitation characteristics of a region over time. The temperature characteristics of a region are influenced by natural factors such as latitude, elevation and the presence of ocean currents.
If you drag a 50kg block across the floor which has a coefficient of friction of .30, what is
the force needed to accelerated it at 2.0m/s^2 ?
Answer:
750 Newton
Explanation:
force=mass(acceleration)
How to find velocity from acceleration time graph.
Answer:
We can only find the change in velocity by the area under the acceleration time graph by calculating the area under the curve to the given time. Then by the formula of the difference in the final and initial velocity you can find the final velocity of the object in the given time period.
Evidence of liquid water in mars' distant past suggests that it had a substantial atmosphere compared to what it has presently. What happened to its water vapor?.
Answer:
The atmosphere has frozen out into the polar ice caps and permafrost as Mars has cooled.
Explanation: Good luck box BrokenTag27
Why are people so rude???
Answer:
It could be low self-esteem
Explanation:
There probably insecure have problems and issues of their own could be that were abused growing up and weren’t treated right who knows.
Propose a hypothesis for how the position of the ball will affect the amount of its gravitational pull energy
throwing a ball up initially has a lot of kinetic energy because it is moving upwards ( kinetic energy is energy which a body possesses by virtue of being in motion.) this all then get converted to gravitational potential energy, and for a moment it is stationary before it begins to fall again. by the time it has returned again, all the gravitational potential energy has turned back into kinetic.
HELP PLEASE : )
IT'S SCIENCE
Answer:
1. A and C are balanced forces as all the forces get cancelled by the opposite and equal force.
2. B and D as in B the Net force is 5N to the right and in D the Net force is 20N to the right.
3. This would be all the unbalance forces which are B and D
4. B would be moving 5N to the right and D would move 20N to the right.
Can someone help me with the entire magnetism gizmo. I can’t get on gizmo, but it has to be done
Answer:
sure how can i help my g gggg
What is the acceleration as an object goes from +20 m/s to +26 m/s over 1.4 s?
Answer:
4.3 m/s^2
Explanation:
a = vf - vi / t
26 - 20 / 1.4
= 4.28 ( round your numbers)
How to find average velocity on a graph.
Answer:
Answer is below….
Explanation:
The velocity is represented by the slope of a position-time graph. The faster the motion changes, the steeper the slope. The change in position divided by the corresponding change in time may be used to compute average velocity from a position-time graph.
_________________________________________________________
(hope this helps can I pls have brainlist (crown)☺️
help plz
Stop and go traffic means a lot of opportunities for acceleration. This assignment looks at a typical experience of a car in typical rush hour traffic. Calculate the different accelerations from the graph, interpret what your answers mean and show you really understand acceleration.
A car traveled through rush hour traffic in a city. There was a lot of starting and stopping. The graph below shows the motion of the car for a 16 second interval of time.
Explain what is going on between point B and C in terms of velocity and acceleration.
Velocity:
Acceleration:
Which type of electromagnetic radiation is commonly used for long-distance communications?
A. infrared radiation
B. radio waves
C. ultraviolet radiation
D. gamma rays
Answer:
B. Radio waves
Explanation:
Radio waves are transmitted easily through air. They do not cause damage if absorbed by the human body, and they can be reflected to change their direction. These properties make them ideal for communications.
Hope this helps!!
Answer:
B
Explanation:
Radio Waves
what is radiation?....
Answer:
the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization.
is called radiation
Answer:
Radiation is energy that comes from a source and travels through space at the speed of lightExplanation:
I hope it's help u
What is the mass (in kg) of an object which accelerates at 3 m/s^2 when acted upon by a 15 N force?
[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]
[tex] \longrightarrow \sf Mass = \dfrac{Force}{Acceleration }[/tex]
[tex]\longrightarrow \sf Mass = \dfrac{15}{3}[/tex]
[tex]\longrightarrow \sf Mass = \cancel{\dfrac{15}{3}} [/tex]
[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Mass = 5 \: Kg }}}}}[/tex]
Henceforth :-
The mass of the object is 5 kg.▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
A 0.5kg ball falls from a building that Is 50m high. how much kinetic energy will it have when it has fallen half way to the ground?
weight of 1 kg becomes 1/6 on moon. If radius of moon is 1.76×10^6 m, then the mass of moon will be
Answer:
7.65 x 10^22kg
sorry if im wrong!