Explanation:
VT= 10 v
IT = V/R = 10/5= 2 A
RT= 5 ohm
PT = 20w
\( {i}^{2} \times r = {2}^{2} \times 5 = 20watts\)
Two cars travel along a straight road. When
a stopwatch reads t = 0.00 h, car A is at
XA= 48.0 km moving at a constant speed of
36.0 km/h. Later, when the watch reads
t = 0.50 h, car B is at XB = 0.00 km moving
at 48.0 km/h. Answer the following
questions, first graphically by creating a
position-time graph, and then algebraically
by writing equations for the positions XA
and XB as a function of the stopwatch
cime, t.
The equation for position of car A is \(x_{a}\) ( t ) = 36 t + 48.
The equation for position of car B is \(x_{b}\) ( 0.5 ) = 36 ( 0.5 ) + c.
The position function in one dimension is written as x ( t ) = vt + c. This equation is for a function starting at t = 0.
x = Distance
t = Time
v = Initial Velocity constant
c = Initial position constant
For car A ,
t = 0
c = 48 km
v = 36 km / h
\(x_{a}\) ( 0 ) = 36 ( 0 ) + 48
\(x_{a}\) ( 0 ) = 48 km, which is the distance at which car A starts to move from.
For car B,
t = 0.5 hr
c = 0
v = 48 km / h
\(x_{b}\) ( 0.5 ) = 48 ( 0.5 ) + 0
\(x_{b}\) ( 0.5 ) = 24 km
\(x_{b}\) ( 0 ) = 48 ( 0 ) + c
\(x_{b}\) ( 0 ) = c
Therefore,
The equation for position of car A is \(x_{a}\) ( t ) = 36 t + 48.The equation for position of car B is \(x_{b}\) ( 0.5 ) = 36 ( 0.5 ) + c.To know more about position equation as a function of time
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help me pls its for my science class i need to show my work
Answer:
P = 5880 J
Explanation:
Given that,
The mass of the block, m = 30 kg
The block is sitting at a height of 20 m.
The block will have gravitational potential energy. The formula for gravitational potential energy is given by :
\(P=mgh\\\\=30\times 9.8\times 20\\\\=5880\ J\)
So, the required potential energy is equal to 5880 J.
for the following stress states, sketch the stress element, draw the appropriate mohr’s circle, determine the prin- cipal stresses and their directions, and sketch the princi- pal stress elements
The maximum shear stress at 18 degrees and the primary stress, respectively, are both 36.05 mpa.
The Mohr method is a very useful tool for finding primary stress, maximum shear stress, principle plane, or angle of the action. It is a technique that plots a circle using a graphical way in order to gather the necessary information.
Shear stress= 30
Tensile stress= 40
Compressive Stress= -40
Mohr circle using data is:
Figure
And the principal stress will be 36.05 mpa and maximum shear stress would be 36.05 mpa at 18 degrees.
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katelyn throws a rock which travels 34 m above her hand before it starts to fall. what is the vertical velocity of the rock when it leaves her hand?
Answer:
25.8 m/s
Explanation:
Initial Velocity (u) =?
Final velocity before it starts to fall ; v = 0
Distance (S) = 34 meters
Using the relation :
v² = u² + 2aS
a = - 9.8 m/s²
0 = u² + 2(-9.8)(34)
0 = u² - 666.4
u² = 666.4
u = √666.4
u = 25.814724
Hence, vertical velocity when the rock leaves her hand is 25.8 m/s
what is the gravitational potential energy of the block-earth system after the block ahs fallen 1.5 meters
The gravitational potential energy of the block-earth system after the block has fallen 1.5 meters is 14.7 Joules.
To find out the gravitational potential energy of the block-earth system after the block has fallen 1.5 meters, we will use the formula for gravitational potential energy.W= mghwhere W is the work done, m is the mass of the object, g is the acceleration due to gravity and h is the height from which the object is dropped.Using the formula for gravitational potential energy, we have;W = mgh where;h = 1.5 mg = 9.8m/s²The mass of the block is not given, but we will assume it is 1 kgW = mghW = (1)(9.8)(1.5)W = 14.7 J.
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A roller coaster of mass 20kg is rolling down a track with a velocity of 10m/s. what is the kinetic energy of the roller coaster
The kinetic energy of the roller coaster is 1000J.
Kinetic Energy is the energy of an object because the object is in motion. Force must be applied to the object to apply acceleration on the object. When a person applies force work is done and as the work is done energy is transfered to the object.
Given, m=20kg
v=10m/s
Kinetic Energy=0.5×m×v²
=0.5×20×(10)²
=1000J
Thus, the kinetic energy of the roller coaster is 1000J.
I hope this answer helps.
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Please help ASAP I need help
Answer:
I think the answer is A,B,C
Explanation:
A top spins and slows down at an angular acceleration of -1.5 radians/sec/sec until it topples. If the top will topple at an angular speed of 150 radians per second or less, and the top topple after spinning for 45 seconds, what was the initial angular velocity of the top
The main answer to this question is that the initial angular velocity of the top was 157.5 radians per second. Here is the explanation of how to arrive at this answer:Given that the angular acceleration of the top is -1.5 radians/sec², the final angular velocity (ωf) of the top when it topples is 150 radians/sec.Using the equation ωf = ωi + αt, we can find the initial angular velocity (ωi) of the top.ωf = ωi + αt150 = ωi - 1.5(45)150 = ωi - 67.5ωi = 150 + 67.5 = 217.5Therefore, the initial angular velocity of the top was 217.5 radians per second.
However, we are told that the top will topple at an angular speed of 150 radians per second or less, which means that the top would have toppled before reaching an angular speed of 217.5 radians per second. So, we need to find the angular speed (ω) of the top at the time it topples, and then use this value to find the initial angular velocity.Using the formula ωf² = ωi² + 2αθ, where θ is the angle the top rotates through,
we can find the angle the top rotates through before it topples.ωf² = ωi² + 2αθ150² = ωi² + 2(-1.5)θ22500 = ωi² - 3θSince the top topples at ω = 150 radians per second, we can substitute this value for ωf and solve for θ.150² = ωi² + 2(-1.5)θ22500 = ωi² - 3θ22500 - ωi² = -3θ7500/3 = θ = 2500 radiansSo, the top rotates through 2500 radians before it topples.Using the formula θ = ωit + (1/2)αt², we can find the initial angular velocity.θ = ωit + (1/2)αt²2500 = ωi(45) + (1/2)(-1.5)(45)²2500 = 45ωi - 15187.5 = 45ωiωi = 187.5/45 = 4.1667 radians per secondTherefore, the initial angular velocity of the top was 4.1667 radians per second or approximately 157.5 radians per minute.
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While eating lunch high up in a skyscraper, two construction workers calculate their gravitational potential
energies, and find them to be equal. If the lighter construction worker has a mass of 90kg, and the other worker
is twice as high up in the skyscraper, what is the mass of the other worker?
Answer:
The mass of the other worker is 45 kg
Explanation:
The given parameters are;
The gravitational potential energy of one construction worker = The gravitational potential energy of the other construction worker
The mass of the lighter construction worker, m₁ = 90 kg
The height level of the lighter construction worker's location = h₁
The height level of the other construction worker's location = h₂ = 2·h₁
The gravitational potential energy, P.E., is given as follows;
P.E. = m·g·h
Where;
m = The mass of the object at height
g = The acceleration due to gravity
h = The height at which is located
Let P.E.₁ represent the gravitational potential energy of one construction worker and let P.E.₂ represent the gravitational potential energy of the other construction worker
We have;
P.E.₁ = P.E.₂
Therefore;
m₁·g·h₁ = m₂·g·h₂
h₂ = 2·h₁
We have;
m₁·g·h₁ = m₂·g·2·h₁
m₁ = 2·m₂
90 kg = 2 × m₂
m₂ = (90 kg)/2 = 45 kg
The mass of the other construction worker is 45 kg.
Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?
pakisagutan po need ko na yan ngayon
*answer this please*
Explanation:
antimatter - counterpart of ordinary matter; identical in every way except for charge. Examples are positrons (counter to electrons) and antiprotons (counter to protons). Direct contact between matter and antimatter results in total annihilation accompanied by huge radiation output.
dark matter - hypothesized as the non-visible or not directly observable kind of matter that could explain some of the unusual behavior of stars and galaxies.
dark energy - hypothesized to be some kind of a repulsive force like anti-gravity that could explain the apparent accelerated rate of expansion of the universe.
degenerate matter - a very dense form of matter made up of fermions (like protons and neutrons) only. Some stars are believed to be made of degenerate matter.
Answer:
Yes. Although the names sound vague and almost fictional, the types of matter called antimatter, dark matter, dark energy, and degenerate matter are all different, specific entities that really exist in our universe. ... Antimatter is just regular matter with a few properties flipped, such as the electric charge.
#Captainpower
A wave produced by an earthquake appears in the diagram below:
A second wave leaves the center of an earthquake at the same time. The second wave is a longitudinal wave. After 10 seconds, will the two waves travel the same distance?
answer choices
a. Yes, because both waves are longitudinal waves.
b. Yes, because all waves travel at the same speed in similar mediums.
c. No, because only one type of wave can travel through a medium at a time.
d. No, because transverse waves travel at different speeds than longitudinal waves.
A longitudinal wave makes up the second wave. The two waves will have traveled the same distance after 10 seconds since they are both longitudinal waves. Option a is Correct.
In the graphic below, an earthquake wave is depicted: An earthquake's second wave simultaneously emerges from the epicenter. They are in particular to blame for the terrible noises that follow powerful earthquakes. These waves move along the path of wave travel at a speed of around 5 miles per second, causing the crustal rock to shake.
These waves in a solid medium might either be longitudinal waves or transverse waves. P waves (for "principal" waves) denote longitudinal or compressional seismic waves through bulk material, whereas S waves denote transverse seismic waves ("secondary" ). Option a is Correct.
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Correct Question:
A wave produced by an earthquake appears in the diagram below:
A second wave leaves the center of an earthquake at the same time. The second wave is a longitudinal wave. After 10 seconds, will the two waves travel the same distance?
answer choices
a. Yes, because both waves are longitudinal waves.
b. Yes, because all waves travel at the same speed in similar mediums.
c. No, because only one type of wave can travel through a medium at a time.
d. No, because transverse waves travel at different speeds than longitudinal waves.
One kg of a soil was sieved through a set of 8 sieves with the size 4. 75 mm, 2. 0 mm, 600µ, 425µ, 300µ, 212µ, 150µ and 75µ. The weight of soil retained on these sieves was found to be 50, 78, 90, 150, 160, 132, 148 and 179 gm respectively. Draw a particle size distribution curve and determine the uniformity coefficient and coefficient of curvature
The uniformity coefficient is 3.89 and the coefficient of curvature is 1.12.
The total weight of soil retained on all the sieves is 987 grams (50+78+90+150+160+132+148+179). So, the percentage of soil retained on each sieve is:
Sieve size 4.75 mm: 5.07%
Sieve size 2.0 mm: 7.89%
Sieve size 600 µm: 9.12%
Sieve size 425 µm: 15.20%
Sieve size 300 µm: 16.22%
Sieve size 212 µm: 13.38%
Sieve size 150 µm: 14.98%
Sieve size 75 µm: 18.14%
Uniformity coefficient = D60/D10 = 350/90 = 3.89
Coefficient of curvature = (D30)²/(D10 x D60) = (212²)/(90 x 350) = 1.12
A sieve is a material with a porous structure that is used to separate particles of different sizes. It can be made of various materials such as mesh, cloth, or paper. The process of separating particles using a sieve is called sieving or screening.
Sieves are commonly used in the laboratory to separate solid particles from a mixture based on their particle size. This is useful in many applications, such as isolating small particles for analysis or separating larger particles for use in a particular experiment. Sieves can also be used in the industry for sorting materials based on size, such as in the food and pharmaceutical industries. The size of the sieve used determines the size of the particles that can pass through it. The sieve size is typically measured in micrometers or millimeters. The finer the sieve, the smaller the particles that can pass through it.
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What is the maximum instantaneous power dissipated by a 2.5 −hp pump connected to a 240−Vrms ac power source?
What is the maximum current passing through the pump?
The maximum current passing through the pump is approximately 11 amperes.
To find the maximum instantaneous power dissipated by a 2.5-hp pump connected to a 240-Vrms AC power source, follow these steps:
1. Convert the horsepower (hp) to watts (W): 1 hp is equal to 746 watts, so 2.5 hp × 746 W/hp = 1865 W.
2. Determine the maximum power: For an AC power source, the maximum power is √2 times the RMS power. So, the maximum power = 1865 W × √2 ≈ 2637.4 W.
The maximum instantaneous power dissipated by the pump is approximately 2637.4 watts.
To find the maximum current passing through the pump:
1. Use the formula: Power (P) = Voltage (V) × Current (I).
2. Rearrange the formula to solve for current: I = P / V.
3. Calculate the maximum current: I = 2637.4 W / 240 V ≈ 11 A.
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how do astronomers measure that sunspots come in north pole / south pole magnetic pairs? how do they view the sun's magnetic field?
Astronomers measure sunspots and their magnetic polarity using a technique called spectropolarimetry. This method analyzes the interaction between the sun's magnetic field and its emitted light. To view the sun's magnetic field, scientists use instruments like magnetographs, which are specialized telescopes that detect and record the sun's magnetic activity.
Sunspots are cooler, darker areas on the sun's surface that possess intense magnetic activity. The Zeeman effect, a phenomenon where the magnetic field splits the spectral lines of light, is crucial in studying the sun's magnetic field. By observing these spectral lines and their shifts, astronomers can determine the strength and direction of the magnetic field in sunspots.
Sunspots typically occur in pairs with opposite magnetic polarities, one being the north pole and the other the south pole. These pairs are aligned in an east-west direction, with the leading sunspot having a magnetic polarity opposite to that of the sun's magnetic field at that particular solar hemisphere.
In summary, astronomers use spectropolarimetry and the Zeeman effect to analyze the sun's magnetic field and identify sunspots' polarities, while magnetographs provide visual representations of the magnetic field distribution.
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Complete the sentence using word balanced, normal or tension.
Equal and opposite forces that act on the same object are called____
forces?
Wat is the area of a rectangle with
sides measuring 6cm and 9cm
Answer:
Area = 54
Explanation:
6 × 9 = 54
you just need to multiple the two different sized sides
Okay so we are doing an experiment with some fake babies, the teacher gives you the name and you have to pick a nick name, What would be A good nickname for Rita
Answer:
RiRi
Explanation:
A car accelerates uniformly from rest to a speed of 55.0 mi/h in 11.0 s.(a) Find the distance the car travels during this time. m(b) Find the constant acceleration of the car.m/s²
We know that
• The initial speed is zero (it starts from rest).
,• The final speed is 55 mi/h.
,• The time elapsed is 11 seconds.
To find the distance traveled, let's use the following formula.
\(v^2_f=v^2_0+2ad\)But first, we have to transform 55 mi/h into m/s. We know that 1 mile is equivalent to 1609.34 meters, and 1 hour is equivalent to 3600 seconds.
\(55\cdot\frac{mi}{h}\cdot\frac{1609.34m}{1mi}\cdot\frac{1h}{3600\sec}\approx24.6\cdot\frac{m}{s}\)Then, we find the acceleration because we need it to find the distance traveled.
\(\begin{gathered} v_f=v_0+at \\ 24.6\cdot\frac{m}{s}=0+a\cdot11\sec \\ a=\frac{24.6\cdot\frac{m}{s}}{11s} \\ a\approx2.2\cdot\frac{m}{s^2} \end{gathered}\)(b) The constant acceleration is 2.2 m/s^2.Now we are able to find the distance traveled.
\(\begin{gathered} v^2_f=v^2_0+2ad\to(24.6\cdot\frac{m}{s})^2=0^2+2(2.2\cdot\frac{m}{s^2})d \\ 605.16\cdot\frac{m^2}{s^2}=4.4\cdot\frac{m}{s^2}\cdot d \\ d=\frac{605.16\cdot\frac{m^2}{s^2}}{4.4\cdot\frac{m}{s^2}} \\ d\approx137.5m \end{gathered}\)(a) The distance the car travels during this time is 137.5 meters.Read the passage.
The moon is one-fourth the size of Earth, and the moon’s gravity is about one-sixth of Earth’s. Less gravity and no atmosphere means that objects travel farther when thrown on the moon.
Based on the information provided, what visual information would be most helpful to include with the passage?
a chart comparing the sizes of the moon and the Earth
a diagram showing how gravity affects the path of a thrown object
a photograph of a child throwing a ball for a dog to catch
a graph comparing distances traveled by objects thrown on Earth and the moon
its d
Answer:
d in my opinion is the most opitmal answer
Explanation:
aka a graph comparing distances traveled by objects thrown on Earth and the moon
Answer:
Its d
Explanation:
a graph comparing distances traveled by objects thrown on Earth and the moon
What is the frequency of a wave if the wavelength is 567 m and the velocity is 23,000 m/s?
Answer:
40.56Hertz
Explanation:
v=f×lamda( I don't have the symbol)
from the question,
v=23,000
f=?
lamda i.e wavelength=567m
therefore, 23000=f×567
divide by 567
23000/567=567f/567
40.56 Hz=f
so, f=40.56Hz
What is the rate which distance changes over time.
Answer: Speed
Explanation:
Speed is Defined as defined as D/T or distance over time
Plzzzz help me!! Plz don’t guess, than you!!
Answer:
The answer is W
we know how fast a star in the galaxy is moving away from us on the basis of its spectrum. mass. luminosity. age. color.
true/false
We cannot determine the speed at which a star in the galaxy is moving away from us based on its mass, luminosity, age, or color alone. it is false
The speed at which a star in the galaxy is moving away from us is determined through the measurement of its spectrum using a technique known as redshift.
When a star or galaxy moves away from us, its light is shifted towards longer wavelengths, resulting in a redshift. By analyzing the degree of redshift, astronomers can estimate the speed at which the star is receding.
However, factors such as mass, luminosity, age, and color do not provide direct information about the star's motion away from us.
These characteristics are important for studying other properties of stars, such as their composition, brightness, evolutionary stage, and temperature. To determine the motion of a star in the galaxy, redshift measurements are essential.
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What is the acceleration of car if it goes from 60 m/s to a stop in 6 seconds?
Answer:
\(\boxed {\boxed {\sf a= -10 \ m/s^2}}\)
Explanation:
Acceleration can be found by dividing the change in velocity by the time.
\(a=\frac{v_f-v_i}{t}\)
The car came to a stop, so it's final velocity is 0 m/s.
The initial velocity of the car is 60 m/s.
The time is 6 seconds.
\(v_f=0 \ m/s\\v_i=60 \ m/s\\t= 6 \ s\)
Substitute the values into the formula.
\(a=\frac{0 \ m/s-60 \ m/s}{6 \ s }\)
Solve the numerator.
0 m/s-60 m/s= -60 m/s\(a\frac{-60 \ m/s}{ 6 \ s }\)
Divide.
\(a= -10 \ m/s^2\)
The acceleration of the car is-10 meters per square second. The negative acceleration indicates it is slowing down/stopping.
A supersonic flow at m1 = 1.58 and p1 = 1 atm expands around a sharp corner. if the pressure downstream of the corner is 0.1306 atm, calculate the deflection angle of the corner
The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow.
To calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory.
Given the initial Mach number (m1) of 1.58 and the initial pressure (p1) of 1 atm, we need to find the deflection angle.
First, we can use the Mach angle formula:
Mach angle (θM) = arcsin(1/m1)
Substituting the given Mach number, we have:
θM = arcsin(1/1.58)
Using a calculator, we find that θM is approximately 37.1 degrees.
Next, we can use the Prandtl-Meyer function to find the Mach angle downstream of the corner (θ2). The Prandtl-Meyer function relates the Mach angles before and after the expansion.
The Prandtl-Meyer function is defined as:
ν(M) = √((γ+1)/(γ-1)) * arctan(√((γ-1)/(γ+1)*(M²-1))) - arctan(√(M²-1))
where γ is the ratio of specific heats and M is the Mach number.
To find θ2, we can rearrange the equation and solve for M2 (Mach number downstream of the corner):
M2 = √(1 + (ν2/√((γ+1)/(γ-1))))
Since ν1 = θM and ν2 = θ2, we can rewrite the equation as:
M2 = √(1 + (θ2/√((γ+1)/(γ-1))))
Now, we can find the Mach number downstream of the corner using the given pressure downstream (p2 = 0.1306 atm) and the ratio of specific heats (γ).
Using the isentropic relation for supersonic flow:
(p2/p1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Substituting the given values, we have:
(0.1306/1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Solving this equation will give us the Mach number downstream of the corner (M2).
Finally, using the equation:
θ2 = ν2 - ν1
we can find the deflection angle (θ2) by subtracting the Mach angle before the corner (θM) from the Mach angle downstream of the corner (θ2).
In conclusion, to calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory. By finding the Mach angle before and after the corner, and subtracting them, we can determine the deflection angle. The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow. By substituting the given values, we can find the Mach number downstream of the corner and calculate the deflection angle.
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A6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. The image is 4 cm from the lens. The height of the image is ?? cm.
Answer:
7.8cm
Explanation:
Answer:
7.8
Explanation:
3. Two fans blow at 5 ms^-1 in a easterly direction and 8ms^-1 in a Northerly
direction. What is the total wind speed of both fans combined?
Addition of vectors is done by adding the components of the vectors
The total speed of the fan is approximately 9.43 m/s,
Direction of total wind 58° counterclockwise from the positive x-axis
The reason the value is correct is as follows:
The given parameters are:
The direction at which the fan blowing at 5 m/s is blowing = Easterly
The direction in which the fan blowing 8 m/s is blowing = Northerly
The total speed of the van, |v| ≈ 9.43 m/s
Required:
To find the total wind speed of the fans
Solution:
Taken the easterly direction as the ith component, and the northerly direction as the jth component, the vector representing the speed of the fan is presented as follows
v = 5·i + 8·j
The magnitude of the total wind speed of the fan, |v| = √(5² + 8²) = √(89) ≈ 9.43
The total wind speed of the fan , |v| ≈ 9.43 m/s
The direction of the total speed with respect to the x-axis, θ, is given as follows;
θ = arctan(8/5) ≈ 58°
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How do the different levels of body organization work together so your body can function?
The levels of body organization, from cells to tissues, organs, organ systems, and the whole organism, work collaboratively to support bodily functions, allowing the body to carry out essential processes such as metabolism, movement, and communication.
The human body is organized into different levels, each contributing to the overall function and maintenance of the body. These levels of organization work together in a coordinated manner to ensure the proper functioning of the body. At the cellular level, cells are the basic structural and functional units of the body. Different types of cells perform specific functions and work together within tissues. Tissues, such as muscle, nerve, or connective tissue, are formed by groups of specialized cells that collaborate to carry out specific functions. Tissues combine to form organs, which are distinct structures with specific functions. Organs, such as the heart, lungs, and liver, are made up of different tissues working together to perform complex tasks. Organs further integrate to form organ systems. For instance, the circulatory system comprises the heart, blood vessels, and blood, working together to transport nutrients and oxygen throughout the body. Organ systems, like the respiratory, digestive, and nervous systems, coordinate their activities to maintain homeostasis and ensure the body's overall function. Lastly, all the organ systems collectively form the organism, the complete individual capable of carrying out various activities, responding to stimuli, and maintaining internal balance.
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what is a example of the doppler effect
Answer:
The change in pitch of a siren on an ambulance
Answer:
Explanation:
The drop in pitch of ambulance sirens as they pass by and the shift in red light are common examples of the Doppler Effect.
answer these questions plz
1. The property of a conductor by virtue of which it posses the flow of electric current through it is called resistance.
2. The resistance of a conductor depends on the cross sectional area of the conductor and it's resistivity.
3.This id due to the fact that the resistance of a wire is inversely proportional to the square of its diameter.
4.Due to at high temperatures , the alloy donot oxidize. Alloy doesn't melt readily and get deformed.