To ensure that you maintain 100% austenite while cooling an Fe-C alloy starting at 600°C, you would need to choose a cooling rate that is approximately 30°C per second.
Consider the following:
1. Identify the critical cooling rate for the Fe-C alloy composition. This can be determined using a Time-Temperature-Transformation (TTT) diagram or a Continuous Cooling Transformation (CCT) diagram for the specific alloy.
2. Choose a cooling rate faster than the critical cooling rate. This will ensure that the cooling process bypasses the nose of the TTT or CCT diagram and avoids the transformation to other phases, such as pearlite, bainite, or martensite, thus maintaining 100% austenite.
In summary, to maintain 100% austenite when cooling an Fe-C alloy starting at 600°C, you would need to determine the critical cooling rate using a TTT or CCT diagram for the specific alloy composition and then choose a cooling rate that is faster than the critical rate.
Assuming an austenitizing temperature of 600°C, the critical cooling rate for this alloy to maintain 100% austenite is approximately 30°C per second. This cooling rate is estimated by following the vertical line corresponding to the austenitizing temperature of 600°C on the TTT diagram and then finding the point at which it intersects with the critical cooling rate line.
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A fan rotating with an initial velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity decreases to 200 rev/min. Assuming angular acceleration is constant, how many revolutions does the blade undergo during this time?
Answer:
easy
Explanation:
A car moves at 72 km/h and car B moves at 90 km/h, approach each other. A car honked with a frequency of 650 Hz. If the speed of the sound waves in the air is 350 m/s, then what is the frequency of sound heard by the driver of car B from car A?
Givens:
Equation:
Solution:
Unit:
Substitution:
The frequency of the sound heard by the driver of car B from car A is mathematically given as
F=738.6hz
What is the frequency of the sound heard by the driver of car B from car A?Question Parameters:
A car moves at 72 km/h and car B moves at 90 km/h, approaching each other. A car honked with a frequency of 650 Hz
the speed of the sound waves in the air is 350 m/s,
Generally, the equation for the Frequency is mathematically given as
\(F=f'(\frac{v+vob}{v-vsource})\)
Therefore
\(F=650(\frac{350+25}{350-20})\)
F=738.6hz
In conclusion, the frequency of the sound is
F=738.6hz
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the complete photoelectron spectrum for an element is shown above. which of the following observations would provide evidence that the spectrum is consistent with the atomic model of the element?
The energy required to remove one electron from the atom is low hence the atom will form compounds where it has a charge of +1.
The photoelectron spectrum can be used to determine the energy of electrons in atoms and molecules. The technique depends on the use of ultraviolet light to cause ionization of atoms from chemicals species and the binding energy of these electrons are determined.
From the question, we can see that there are two values of binding energy. However, the magnitude of difference between the energy levels is high so the electrons can not be in one shell. Therefore, the element will form compounds in which it has a charge of +1.
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A 0.149 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.710 m/s . It has a head-on collision with a 0.308 kg glider that is moving to the left with a speed of 2.27 m/s . Suppose the collision is elastic.1. Find the magnitude of the final velocity of the 0.157kg glider.
2. Find the magnitude of the final velocity of the 0.306kg glider.
Answer:
v1 = −2.201946 m/s ( to the left)
v2 = 0.7780534 m/s ( to the right)
Explanation:
Given the following :
Mass of first glider (m1) = 0.149kg
Initial Speed of first glider (u1) = 0.710 m/s
Mass of second glider (m2) = 0.308kg
Initial Speed of second glider (u2) = 2.27m/s
For elastic collision:
m1u1 + mu2u2 = m1v1 + m2v2
Where V1 and v2 = final velocities if the body after collision.
Taking right as positive ; left as negative
u1 = 0.710m/s ; u2 = - 2.27m/s
u1 - u2 = - (v1 - v2)
0.710 - - 2.27 = - v1 + v2
v2 - v1 = 2.98 - - - - (1)
From:
m1u1 + mu2u2 = m1v1 + m2v2
(0.149 * 0.710) + ( 0.308 * - 2.27) = (0.149 * v1) + (0.308 * v2)
0.10579 + (-0.69916) = 0.149 v1 + 0.308v2
−0.59337 = 0.149 v1 + 0.308v2
Dividing both sides by 0.149
v1 + 2.067v2 = −0.59337 - - - - - (2)
From (1)
v2 = 2.98 + v1
v1 + 2.067(2.98 + v1) = −0.59337
v1 + 6.16 + 2.067v1 = −0.59337
3.067v1 = −0.59337 - 6.16
3.067v1 = −6.75337
v1 = −6.75337 / 3.067
v1 = −2.201946 m/s ( to the left)
From v2 = 2.98 + v1
v2 = 2.98 + (-2.201946)
v2 = 0.7780534 m/s ( to the right)
a plastic bag contains 0.80 mol of gas and occupies a volume of 18 l. a leak in the bag allows gas to escape until the volume becomes 16 l. how many moles of gas remain in the bag?
A plastic bag contains 0.80 mol of gas and occupies a volume of 18 l. a leak in the bag allows gas to escape until the volume becomes 16 l.
To solve this problem, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (assuming constant)
V = volume
n = number of moles
R = ideal gas constant
T = temperature (assuming constant)
Since the temperature and pressure are not given and assumed to be constant, we can rewrite the equation as:
V1/n1 = V2/n2
Where:
V1 = initial volume = 18 L
n1 = initial number of moles = 0.80 mol
V2 = final volume = 16 L
n2 = final number of moles (to be determined)
Rearranging the equation to solve for n2:
n2 = (V2 * n1) / V1
Plugging in the values:
n2 = (16 L * 0.80 mol) / 18 L
n2 ≈ 0.71 mol
Therefore, approximately 0.71 moles of gas remain in the bag after the leak.
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Hold your index finger and middle fingers close to each other, leaving a small slit between them about 1 mm in width. Look through the slit into a source of light such as the window or lamp (NOT THE SUN). You will need to look with one eye up close to the slit. Why do the vertical black lines show up when your fingers are close together but not when they are far apart? Explain.
Answer:
I would say tunnel vision cause your only using one eye and if your looking through a tiny space your vision gets blury
Explanation:
The velocity of particle A t seconds after its release is given by v
a
(t)=8.4t−0.6t
2
(meters per second). The velocity of particle Bt seconds after its release is given by vb(t)=13.8t−0.3t
2
(meters per second). How much farther does particle B travel than particle A during the first ten seconds (from t=0 to t=10 )? Round to the nearest meter.
The velocity of particle B travels 265 meters more than particle A during the first ten seconds (from t = 0 to t = 10).
Given :v_{a}(t) = 8.4t - 0.6t^{2}v_{b}(t) = 13.8t - 0.3t^{2}
Distance travelled by a particle is given by the integration of the velocity of the particle.
Therefore, we get:s_{a}(t) = ∫ v_{a}(t)dt = 4.2t^{2} - 0.2t^{3}s_{b}(t) = ∫ v_{b}(t)dt = 6.9t^{2} - 0.1t^{3}
The distance travelled by both particles in the first 10 seconds will be:
s_{a}(10) = 4.2(10)^{2} - 0.2(10)^{3} ≈ 400 meterss_{b}(10) = 6.9(10)^{2} - 0.1(10)^{3} ≈ 665 meters
Hence, particle B travels farther than particle A during the first ten seconds by approximately 665 - 400 = 265 meters.
Rounding off to the nearest meter, we get the answer as 265 meters.
Therefore, particle B travels 265 meters more than particle A during the first ten seconds (from t = 0 to t = 10).
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how is charged particles related to electric current, electric circuits, and resistance
Charged particles are fundamental to the behavior of electric currents, electric circuits, and resistance. An electric current is the flow of charged particles, typically electrons, through a conductor.
The flow of charged particles generates an electric field that induces a potential difference, or voltage, across the conductor.Electric circuits are constructed by connecting conductors and electrical components, such as resistors, capacitors, and inductors, in a specific configuration. The arrangement of the components determines how the current flows through the circuit.
The flow of current through the circuit depends on the resistance offered by the components in the circuit and the potential difference across the circuit.Resistance is the property of a conductor that opposes the flow of current. The resistance of a conductor is proportional to the number of charged particles in the conductor, the length of the conductor, and the cross-sectional area of the conductor. The resistance can also be affected by the temperature of the conductor and its material properties.
In summary, charged particles are responsible for generating electric currents that flow through electrical circuits. The behavior of the currents is determined by the arrangement of the components in the circuit and the resistance offered by the conductors and components. Resistance is a fundamental property of a conductor that opposes the flow of charged particles and can be affected by various factors.
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What is the atomic number of an atom?
the number protons and neutrons
the number of neutrons
the number of electrons and neutrons
the number of protons
Answer:
The number of protons is correct
Answer:
The number of protons
Explanation:
I took the test buddy boy
17. For how long should a force of 130 N be applied to an object of mass 50 kg to change its speed from 20 m/s to 60 m/s?
a. 0.031 s
b. 0.065 s
c. 15.4 s
d. 40 s
Answer:
c. 15.4 s
Explanation:
Given the following data;
Mass, m = 50kg
Force, F = 130N
Initial velocity, u = 20m/s
Final velocity, v = 60m/s
To find the time;
First of all, we would solve for acceleration using the formula below;
Force = mass * acceleration
130 = 50*acceleration
Acceleration = 130/50
Acceleration = 2.6m/s²
Now, we would use the first equation of motion to find the time.
V = U + at
60 = 20 + 2.6t
2.6t = 60 - 20
2.6t = 40
t = 40/2.6
Time, t = 15.39 ≈ 15.4 seconds.
The time taken will be 15.4 seconds approximately. The correct answer is option c
NEWTON SECOND LAW
Newton's second law state that, the rate of change of momentum is proportional to the force applied.
Given that a force of 130 N be applied to an object of mass 50 kg to change its speed from 20 m/s to 60 m/s. The given parameters are;
Force F = 130 Nmass m = 50 kgInitial velocity u = 20 m/sFinal velocity V = 60 m/sfrom Newton's second law,
Ft = m(v - u)
Substitute all the parameters into the formula
130t = 50 (60 - 20)
130t = 50 x 40
130t = 2000
t = 2000/130
t = 15.38 seconds
Therefore, the time taken will be 15.4 seconds approximately. The correct answer is option c
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In the academic year of 2012-2013, how many student athletes had some or all of their education paid for?
Answer:1,000,000 Kids
Explanation:Dragon
An airplane travels 640 miles from topeka to houston in 3. 2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
When an airplane travels 640 miles from Topeka to Houston in 3. 2 hours, going against the wind. The return trip is with the wind and takes only 2 hours. Then the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
Let Va is the velocity of the airplane
Va is the velocity of the wind
When flying against the wind then
(Va+Vw)*(3.2 hours) = 640
3.2Va + 3.2Vw = 640
3.2Vw = 640 - 3.2Va
Vw = 200 - Va----------------(1)
When flying with the wind:
(Va-V)*(2 hours) = 640km
2Va - 2Vw = 640
Va - Vw = 320 ----------------(2)
Putting the value of VW in equation (2) we get
Va - (200-Va) = 320
2Va = 320 +200
2Va = 520
Va = 260
Putting this value in equation (2)
Vw =Va - 360
Vw = 100
Therefore the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
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What does a negative zero reading on a vernier caliper mean?
Negative zero error describes the situation in which the vernier caliper's jaws are just closed as well as the reading deviates in the negative direction from the true reading of 0.00 mm.
Which four types of calipers are there?The dial, digital, layout & spring, and vernier subcategories of calipers are the main ones. External measurements are taken by all four categories. The inside, step, and depth measurements are handled by others. Four-way calipers are also referred as calipers that can measure each type of quantity.
What governs caliper usage?The n-1 divide on the main scale corresponds to the width n division of the graduations on the vernier scale, which is the basis for the vernier calliper. Vernier scales typically have a division count of 10.
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the light energy produced from this led bulb came from a coal- fired power plant. what was the original source of the energy found in the coal that was used to produce the electricity for the light bulb? a. the oceans c. sunlight b. atmospheric gases d. uranium 238
The original source of the energy found in the coal that was used to produce the electricity for the light bulb was the sunlight. Coal was formed from the remains of dead plants and animals that lived millions of years ago. option c.
In ancient times, plants absorbed energy from the sun to form their tissues. Coal is a type of fossil fuel formed from the decayed remains of ancient plants that were buried deep beneath the earth's surface. The energy stored in the plants was converted into coal over time through a process called carbonization. When coal is burned in a coal-fired power plant to produce electricity, the energy stored in the coal is released as heat. This heat is used to create steam, which in turn drives a turbine to produce electricity. The energy that powers the light bulb, therefore, comes from the burning of coal in the power plant. However, the original source of the energy found in the coal was the sunlight that the plants absorbed during their lifetime. Coal-fired power plants are a major source of electricity around the world. They are relatively inexpensive to build and maintain, and coal is abundant in many parts of the world. However, burning coal also releases large amounts of carbon dioxide and other greenhouse gases into the atmosphere, contributing to climate change and other environmental problems.
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The type of asteroid that would appear darkest and reflect the least light is type:
A) A.
B) B.
C) C.
D) D.
E) S.
The type of asteroid that would appear darkest and reflect the least light is type option E) S.
Among the given options, type E) S asteroids would appear darkest and reflect the least amount of light. Asteroids are classified into different types based on their composition, and type S asteroids belong to the silicate group. They are made up of rocky materials, such as silicates and metals, and they tend to have a relatively low albedo.
Albedo refers to the amount of light an object reflects, and a low albedo means that the object absorbs more light than it reflects. As a result, type S asteroids appear darker because they absorb a significant portion of the incident light rather than reflecting it. Their dark appearance is due to their composition and surface properties.
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What happens when a metal bar is heated?
A The distance between the molecules increases, making the bar longer.
B The molecules get larger, making the bar longer.
с The molecules vibrate more quickly, making the bar denser.
D The speed of the molecules increases, making the bar thinner.
Answer:
When something is heated, its atoms vibrate. If one end of a metal bar is heated, the atoms at that end vibrate more than the atoms at the cold end. The vibration spreads along the bar from atom to atom. ... Metals are good conductors of heat.
Explanation:
Who is the smartest human in history?
Answer:
It is difficult to determine who the smartest human in history is, as intelligence is a complex and multifaceted trait that is difficult to measure. Additionally, intelligence can manifest in many different ways, including in areas such as mathematics, science, literature, and art.
Some individuals who are often considered to be among the most intelligent in history include:
1. Leonardo da Vinci: A polymath who excelled in a wide range of fields, including painting, sculpture, architecture, engineering, and science.
2. Albert Einstein: A physicist who made groundbreaking contributions to our understanding of the universe, including the theory of relativity and the famous equation E=mc².
3. Johann Wolfgang von Goethe: A writer, philosopher, and scientist who made significant contributions to literature, natural science, and the study of human nature.
4. William Shakespeare: A playwright and poet whose works are considered to be among the greatest in the English language.
5. Terence Tao: A mathematician who has made significant contributions to number theory and other areas of mathematics.
However, it's important to remember that intelligence is not easily quantifiable and there may have been many other individuals throughout history who were equally or more intelligent, but whose contributions have not been as widely recognized or documented.
Explanation:
If you get this correct I will give a lot of points and possibly brainliest.
MOON : MOONBOW :: _____ : RAINBOW
A. Rain
B. The sun
C. Sky
D. Earth
Answer:
A. Rain
Explanation:
Moon + Bow = Moonbow, so Rain + Bow = Rainbow
Pretty simple tbh
Answer:
its B lol easy
Explanation:
true/false. The gravitational force between the two objects is weak because they are 1 m apart. No gravitational force exists between the two objects because their masses are small.
The given statement "The gravitational force between the two objects is weak because they are 1 m apart. No gravitational force exists between the two objects because their masses are small." is False.
The gravitational force between the two objects is not weak because they are 1 m apart. The strength of the gravitational force depends on the masses of the objects and the distance between them.
Additionally, it is not true that no gravitational force exists between the two objects because their masses are small. Every object in the universe exerts a gravitational force on every other object, regardless of their masses. However, the strength of the gravitational force will be weaker if the masses are smaller.
So. The gravitational force between the two objects is weak because they are 1 m apart. No gravitational force exists between the two objects because their masses are small is False.
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prediction: suppose that the ball is dropped from some height. What equation would you use to calculate the mechanical energy (the sum of the gravitational potential energy and the kinetic energy)?
The total mechanical energy is conserved and is mgh.
At the height h, the energy in the ball is its potential energy and the kinetic energy of the ball at the height is zero.
Potential energy, PE = mgh
Kinetic energy, KE = 0
So, total mechanical energy, TE = KE + PE
TE = mgh
As the ball is moving, the potential energy will be converted to its kinetic energy.
mgh = 1/2mv²
v = √2gh
When it reaches the ground, the energy of the ball is kinetic energy and potential energy is zero.
KE = 1/2 mv² = mgh
PE = 0
TE = mgh
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A car traveling at 2 m/s increases its speed to 14 m/s in 4s. Its aceleration is 3.045m/s m/s2 a = (vf-vi)t
The acceleration of a car traveling at 2 m/s and increases its speed to 14 m/s in 4s is 3m/s².
How to calculate acceleration?The acceleration of a moving body is the amount by which a speed or velocity increases. It is the change in velocity with respect to time.
The acceleration of a moving body can be calculated using the following formula:
a = (v - u)/t
Where;
a = accelerationv = final velocityu = initial velocityt = timeAccording to this question, a car is traveling at 2 m/s and increases its speed to 14 m/s in 4s. The acceleration can be calculated as follows:
a = (14 - 2)/4
a = 12/4
a = 3m/s²
Therefore, the acceleration of a car traveling at 2 m/s and increases its speed to 14 m/s in 4s is 3m/s².
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Given the information you have learned in class and the material in your lab manual, answer the following question: Which of these investigations could NOT be addressed using gel electophoresis? Checking for genomic DNA contamination and purity of samples Examining the expression of genes in different individuals. Determining the DNA fingerprint of the suspect of a crime. Determining the paternity of a child.
There is no investigation among the given options that cannot be addressed using gel electrophoresis.
Gel electrophoresis is a common laboratory technique used to separate and analyze DNA, RNA, and proteins based on their size, charge, and other properties. It is widely used in various fields of research, including forensic science, genetics, and biotechnology. Gel electrophoresis can be used to detect DNA contamination, analyze gene expression, determine DNA fingerprinting, and establish paternity testing. Therefore, all the investigations listed, including checking for genomic DNA contamination and purity of samples, examining gene expression, determining DNA fingerprint, and paternity testing can be addressed using gel electrophoresis.
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Suppose a current is given by the equation I=1.70sin150t, where I is in amperes and t in seconds.What is the frequency? What is the rms value of the current?
A. The frequency is 23.8 Hz
B. The rms value of the current is approximately 1.20 amperes.
How to find the frequency and the rms value of the current ?
The equation for the current is I = 1.70 sin(150t), where t is in seconds.
The frequency of the current is the number of cycles per second, which is given by the coefficient of t in the argument of the sine function. In this case, the coefficient is 150, so the frequency is:
f = 150 / (2π) ≈ 23.8 Hz
The rms value of the current is given by:
Irms = (1 / √2) * Imax
Where Imax is the maximum value of the current. For a sine wave, the maximum value is equal to the amplitude, which is 1.70 A in this case. Therefore, the rms value is:
Irms = (1 / √2) * 1.70 A ≈ 1.20 A
So, the rms value of the current is approximately 1.20 amperes.
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all objects within a closed system tend to move
toward a state of greater stability but lower potential
energy
Explanation is in the file
tinyurl.com/wpazsebu
Steps for: What volume of H2 gas is produced by Rxn of 4.40g Li with excess water at 27C , 0.993atm.
To determine the volume of H2 gas produced by the reaction of 4.40 g Li with excess water at 27°C and 0.993 atm, follow these steps:
1. Write the balanced chemical equation for the reaction:
2Li + 2H2O → 2LiOH + H2
2. Calculate the moles of Li:
Moles of Li = mass (g) / molar mass (g/mol)
Molar mass of Li = 6.94 g/mol
Moles of Li = 4.40 g / 6.94 g/mol = 0.634 mol
3. Determine the moles of H2 produced using the stoichiometry of the reaction:
From the balanced equation, 2 moles of Li produce 1 mole of H2.
Moles of H2 = (0.634 mol Li) × (1 mol H2 / 2 mol Li) = 0.317 mol H2
4. Use the ideal gas law (PV = nRT) to calculate the volume of H2 produced:
- P = pressure = 0.993 atm
- n = moles of H2 = 0.317 mol
- R = gas constant = 0.0821 L atm/mol K
- T = temperature in Kelvin = 27°C + 273.15 = 300.15 K
Volume (V) = nRT / P
V = (0.317 mol)(0.0821 L atm/mol K)(300.15 K) / 0.993 atm = 8.17 L
The volume of H2 gas produced by the reaction of 4.40 g Li with excess water at 27°C and 0.993 atm is approximately 8.17 liters.
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2. the fundamental frequency of an open-open pipe is 594 hz (in air). a) what is the length of the pipe?
The length of an open-open pipe with a 594 Hz fundamental frequency is roughly 0.35 metres.
The formula f = (n/2L)*v, where f is the frequency, n is the harmonic number (n=1 for the fundamental frequency), L is the length of the pipe, and v is the speed of sound in air (roughly 343 m/s at room temperature), determines the fundamental frequency of an open-open pipe (a pipe open at both ends). L = (n/2) * v/f is the result of rearrangement of the equation to solve for L. When the given values are substituted, we obtain L = (1/2) * 343/594 = 0.35 metres. The pipe is roughly 0.35 metres long as a result.
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Starting from rest and moving in a straight line, a runner achieves a velocity of 14 m/s in 10 seconds. what is the average acceleration of the runner?
The average acceleration of the runner will be 1.4 m/\(s^{2}\)
An object is said to be accelerated if there is a change in its velocity. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.
Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.
Average acceleration refers to the rate at which the velocity changes. We divide the change in velocity by an elapsed time to find out the average acceleration of anything.
given
final speed = 14 m/s
initial speed = 0
time taken = 10 seconds
Average acceleration = change in speed / change in time
= final - initial / time
= 14 - 0 / 10 = 1.4 m/\(s^{2}\)
The average acceleration of the runner will be 1.4 m/\(s^{2}\)
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Which of the following equations illustrates the law of conservation of
matter?
A. 4A1 + 302 → 2A1203
B. 4A1 + O2 → 2A1203
C. 2A1 + 02 → A1203
D. 2A1 + 302 → Al2O3
I need help please :((((((
Suppose you walk across a carpet with socks on your feet. When you touch a metal door handle, you feel a shock because, c. Excess negative charges build up in your body while walking across the carpet, then jump when attracted to the positive charges in the door handle.
When you walk across a carpet with socks on your feet, the friction between the carpet and your socks causes the transfer of electrons. Electrons are negatively charged particles. As you move, the carpet rubs against your socks, stripping some electrons from the atoms in the carpet and transferring them to your socks. This results in your body gaining an excess of negative charges.
The metal door handle, on the other hand, contains positive charges. When you touch the metal door handle, there is a sudden flow of electrons from your body to the door handle. This movement of electrons is known as an electric discharge or a static shock. The excess negative charges in your body are attracted to the positive charges in the door handle, and this attraction causes the sudden discharge of electrons, resulting in the shock that you feel.
It's important to note that the shock occurs due to the difference in charges between your body and the metal door handle. The friction between your socks and the carpet allows for the buildup of static electricity, and the shock is a result of the equalization of charges when you touch the metal object. Therefore, Option E is correct.
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jordan has a mass of 65kg and carlos has a mass of 78.0kg. jordan is running at 5.75m/s when he is tackled by carlos who is running in the opposite direction. after the collision of both players are at rest. calculate their velocity before the collision.
Given
mj = 65 kg
mc = 78 kg
voj = 5.75 m/s
after collision
vfj = vfc = 0 m/s
Procedure
The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
\(\begin{gathered} p_o=p_f \\ m_jv_{0j}-m_cv_{0c}=0 \\ m_jv_{0j}=m_cv_{0c} \\ v_{0c}=\frac{m_jv_{0j}}{m_c} \\ v_{0c}=\frac{65kg*5.75m/s}{78kg} \\ v_{Oc}=4.8m/s \end{gathered}\)
The velocity before the collision would be 4.8m/s