what outcomes are in the event e, that the number of batteries examined is an even number?
Answers
The set of outcomes that is included in the event E, that the number of batteries examined is an even number, are as follows: {0, 2, 4, 6, 8, 10}.An event refers to a subset of the entire sample space of a random experiment that constitutes the collection of all possible outcomes. In this case, n(E) = 6 and n(S) = 11. Therefore, P(E) = 6 / 11
The event E indicates that the number of batteries examined is an even number. Therefore, only even numbers that are less than or equal to ten and greater than or equal to zero are a part of the event E, which includes 0, 2, 4, 6, 8, and 10. The sample space of this random experiment is the set of all possible outcomes.
If we assume that a total of 10 batteries are tested, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
So, the event E is a proper subset of the sample space, and the probability of E can be computed as:
P(E) = n(E) / n(S)
where n(E) is the number of outcomes in E, and n(S) is the number of outcomes in the sample space.
In this case, n(E) = 6 and n(S) = 11.
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Related Questions
A pelican flies at a speed of 52 km/h for 0.25 hours. How many miles does the pelican travel? The conversion factor is: 1.6 km/h = 1.0 mph
Answers
Answer:
Distance = speed*time = (52/1.6)*0.25 = 8.125miles
Explanation:
(52/1.6)*0.25 = 8.125miles
Pls I need help, Select all of the essential conditioning skills for a skier. (Check all that apply)
flexibility
strength
walking
balance
Answers
Answer:
Explanation:
I think its all of the above
have a good day :)
A block of wood is 10 cm long ,by 4cm broadby1.5 cm thik the block weighs 31g find the density of the wood in kg/m3
Answers
Answer:
/////////////////////////////////////////////////
Explanation:
the earth's axis is tilted by about 23.5º, which explains why the earth has seasons. how does this occur? choose one or more: the hemisphere tilted toward the sun receives more solar radiation than the hemisphere tilted away from the sun. the tilt of earth on its axis determines the number of hours of daylight that each hemisphere receives. earth's tilt controls the degree to which light interacts with air particles by changing the distance it travels through the atmosphere. earth's tilt changes the angle at which sunlight arrives on earth, changing the area that is affected by that light. the tilt of earth's axis changes the distance from the earth to the sun, thus changing the amount of energy received.
Answers
We have seasons primarily because of how tilted the Earth is on its axis.
SUMMER: The Earth revolves around the sun, and the hemisphere that is tilted toward the sun receives the most sunlight. This is summer, when there is more sunlight.
WINTER: Because of the tilt of the earth's axis, days are shorter and less bright in the hemisphere that faces away from the sun. Winter is the result of the weather getting colder.
24-HOUR DARKNESS: Due to the tilt of the Earth, it is possible for darkness to last 24 hours a day at the North Pole of earth.
It is more frequently exposed to sunlight near the equator. Because of this, it is always much hotter at the equator. There is less variation between seasons because it is hotter for longer periods of time.
Direct sunlight strikes the Earth at the equator. In contrast, the sun's rays barely reach the poles where it is located.
More specifically, it's not because the equator is nearer the sun. But the reason is that the equator is being directly illuminated by the sun.
Because of this, the equator is home to some of the planet's warmest ecosystems, including tropical rainforests and deserts.
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The 13-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when θ = 30∘, determine the angular velocity of the rod the instant the spring becomes unstretched, measured clockwise
Answers
The angular velocity of the rod is 3.34 rad/s (measured clockwise) when the spring becomes unstretched.
To take care of this issue, we want to utilize preservation of energy. At the point when the pole is let out of rest, it has gravitational potential energy which is changed over into motor energy as it falls. At the moment the spring becomes unstretched, all the dynamic energy is changed over into spring expected energy.
To begin with, we want to find the level that the pole falls. We can utilize geometry to track down that h = 13 sin(30°) = 6.5 m. Then, we can utilize preservation of energy to track down the spring consistent, k.
At the moment the spring becomes unstretched, the gravitational potential energy is all changed over into spring possible energy:
\(mgh = (1/2)kx^2,\)
where x is the extended length of the spring. We know that
x = 6.5-2 = 4.5 m, so we can tackle for
\(k: k = 2mgh/x^2 = 128.89 N/m.\)
At last, we can utilize preservation of energy again to find the precise speed of the bar while the spring becomes unstretched. At the moment the spring becomes unstretched, the dynamic energy is all changed over into spring possible energy:
\((1/2)Iw^2 = (1/2)kx^2\), where I is the snapshot of latency of the bar about its end, and w is the rakish speed.
We know that \(I = (1/3)mL^2 = 68.44 kg*m^2\), and x = L(1 - cosθ) = 10.46 m. Subbing in the qualities we know and tackling for w, we get w = 3.34 rad/s (estimated clockwise).
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A group of friends push a van, using a total force of 220 N. The van moves a distance of 0.2 m. How much work have they done?
Answers
Answer:
44
Explanation:
Work = Force X Distance
Step 1 of 2: If we ignore air resistance, a falling body will fall 16t^2 feet in t seconds. How far will it fall between t= 3 and t=3.2?
Answers
Given data:
* The equation of the distance traveled by the body in terms of time is,
\(d=16t^2\)Solution:
The distance traveled by the body in time t = 3 s is,
\(\begin{gathered} d(3)=16\times(3)^2^{} \\ d(3)=144\text{ ft} \end{gathered}\)The distance traveled by the body in time t = 3.2 s is,
\(\begin{gathered} d(3.2)=16\times3.2^2 \\ d(3.2)=163.84_{}\text{ ft} \end{gathered}\)Thus, the distance traveled between t = 3 s and t = 3.2 s is,
\(\begin{gathered} d(3.2)-d(3)=163.84-144 \\ d(3.2)-d(3)=19.84ft_{} \end{gathered}\)Thus, the body falls 19.84 ft or approx 20 ft in between 3 s and 3.2 s.
iron has atomic number 26. naturally mined iron contains isotopes of mass numbers 54, 56, 57, and 58. which of the following statements is false A. Every atom of iron has 26 protons B. Some iron atoms have 30 neutrons C. Some iron atoms have 54 neutrons D. The isotopes may be separated in a mass spectrometer E. There are four kinds of naturally occurring iron atoms with the same chemical propertiesRead more on Sarthaks.com - https://www.sarthaks.com/503904/iron-has-atomic-number-26-naturally-mined-iron-contains-isotopes-of-mass-numbers-54-56-and
Answers
The statement that is false is B. Some iron atoms have 30 neutrons.
Since iron has atomic number 26, every atom of iron has 26 protons (option A). However, the number of neutrons can vary in different isotopes of iron. The isotopes of mass numbers 54, 56, 57, and 58 mentioned in the question have 28, 30, 31, and 32 neutrons respectively. Therefore, option C is true.It is also true that the isotopes may be separated in a mass spectrometer (option D). This is because the isotopes have different masses, and a mass spectrometer can separate them based on their mass-to-charge ratio.Option E is also true. There are four naturally occurring isotopes of iron, each with a different number of neutrons, but they all have the same number of protons and electrons, which gives them the same chemical properties.
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In the experiment shown below, which is greater, the force of gravity on the pith balls (Fg) or the electrostatic force between them (Fq)?
Fg > Fq
Fg = Fq
Fg < Fq
Not enough information is given.
Answers
Answer: Fg < Fq
Explanation: just took the lab test edge 2020
The electromagnetic force is greater than the gravitational force option third Fg < Fq is correct.
What is the electrostatic force?It is a force imposed by one charge on another as a result of the field. The electrostatic force produced by one line charge on another line charge separated by r is determined by the charge potency of each charge as well as the separation distance between them.
Force of gravity is given by:
\(\rm F_g=\dfrac{Gm_1m_2}{r^2}\)
The electrostatic force is given by:
\(\rm F_q = \dfrac{kq_1q_2}{r^2}\)
On the atomic scale, electrons, for example, have very little mass but a very large charge. As a result, electromagnetic forces rule.
Thus, the electromagnetic force is greater than the gravitational force option third Fg < Fq is correct.
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How many statements are correct? 0 1 2 3 4
Statement A. Increasing a moving average window will enhance noise dampening.
Statement B. Decreasing a moving average window will enhance impulse response.
Statement C. Increasing the smoothing constant in exponential smoothing will enhance impulse response.
Statement D. Decreasing the smoothing constant in exponential smoothing will enhance noise dampening.
Answers
Answer:
Explanation:
Statement A: Increasing a moving average window will enhance noise dampening.
Statement B: Decreasing a moving average window will enhance impulse response.
Statement C: Increasing the smoothing constant in exponential smoothing will enhance impulse response.
Statement D: Decreasing the smoothing constant in exponential smoothing will enhance noise dampening.
Let's evaluate each statement:
A. Increasing a moving average window will enhance noise dampening.
This statement is true. Increasing the window size of a moving average smooths out the fluctuations in the data and reduces the effect of noise, thus enhancing noise dampening.
B. Decreasing a moving average window will enhance impulse response.
This statement is false. Decreasing the window size of a moving average reduces the number of data points considered, leading to less smoothing and a faster response to changes in the data. It does not enhance impulse response.
C. Increasing the smoothing constant in exponential smoothing will enhance impulse response.
This statement is false. Increasing the smoothing constant in exponential smoothing increases the weight given to more recent data points, which results in smoother and more stable forecasts. It does not enhance impulse response.
D. Decreasing the smoothing constant in exponential smoothing will enhance noise dampening.
This statement is true. Decreasing the smoothing constant in exponential smoothing gives more weight to past observations, which helps in reducing the impact of noise and enhances noise dampening.
Based on the evaluation, 2 out of the 4 statements are correct.
describe periscope.
Answers
Answer:
periscope, an optical instrument used in land and sea warfare, submarine navigation, and elsewhere to enable an observer to see his surroundings while remaining under cover, behind armor, or submerged.
Explanation:
what is the weight of a 1 kg ball
Answers
the drum of a washing machine spins at 200 rpm the drum had a radius of 0.5m what will the centripetal force experienced by a towel spinning along the walls of the drum the towel weighs 0.25kg
Round of to nearest whole number
A) 48N
B) 55N
C) 45N
D) 57N
Answers
The centripetal force experienced by the towel is 55 N.
The given parameters;
angular speed of the washing machine, ω = 200 rpmradius of the machine' drum, r = 0.5 mmass of the towel, m = 0.25 kgThe centripetal force experienced by the towel spinning along the walls of the drum is calculated as follows;
Fc = mrω²
where;
Fc is the centripetal force
ω is angular speed in rad/s
The angular speed in rad/s is calculate as;
\(\omega = \frac{200 \ rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} \\\\\omega = 20.95 \ rad/s\)
The centripetal force experienced by the towel is calculated as;
\(F_c = mr\omega ^2\\\\F_c = 0.25 \times 0.5 \times (20.95)^2\\\\F_c = 54.9 \ N \ \approx 55 \ N\)
Thus, the centripetal force experienced by the towel is 55 N.
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Give reason Pascal is a derived unit
Answers
The pascal is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength.
Symbol ⇥ PaWhich of the following types of forces is NOT an active force.
A. Tensional Force
B. Applied Force
C. Gravitational Force
D. Friction Force
Answers
Answer: A.
Explanation: Because it is like when you rub your knees on a rug it is tensional so that would make it a not active force.
22) Net force is the total of all forces acting on an object. When a force is balanced and the object does not move, the net force is equal to what: A) 0 B) 10 C) 100 D) The weight of the object
Answers
Answer:
A) but be sure and read the answer.
Explanation:
If the object does not move at all, (that's an important restriction) the net force = 0. That being so, the acceleration must be 0 as well. But there is no law saying that there cannot be a constant motion and that's why the restriction is important.
Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
Answers
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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Which statement is not true?
A A south pole repels a north pole.
B A south pole repels a south pole.
C A north pole attracts a south pole.
D A north pole repels a north pole.
Answers
Answer:
A South pole repels a nort pole is not true
Explanation:
South pole attract north pole
two identical satellites orbit the earth in stable orbits. one satellite orbits with a speed v at a distance r from the center of the earth. the second satellite travels at a speed that is less than v . at what distance from the center of the earth does the second satellite orbit? view available hint(s)for part a two identical satellites orbit the earth in stable orbits. one satellite orbits with a speed at a distance from the center of the earth. the second satellite travels at a speed that is less than . at what distance from the center of the earth does the second satellite orbit? at a distance that is less than r . at a distance equal to r . at a distance greater than r .
Answers
The second satellite orbits at a distance greater than r, as the second satellite has a lower speed than the first, its centripetal force is also lower. To maintain a balance with the gravitational force, the distance r must be larger. This is because, in the equation above, as v decreases, r must increase to keep the equation balanced.
To determine the distance from the center of the Earth for the second satellite, we need to consider the following relationship: gravitational force equals centripetal force. For a satellite in a stable orbit, the equation is:
F_gravity = F_centripetal
G * (m * M_earth) / r² = m * v² / r
where G is the gravitational constant,
m is the mass of the satellite,
M_earth is the mass of the Earth,
r is the distance from the center of the Earth, and
v is the orbital speed.
Since the second satellite has a lower speed than the first, its centripetal force is also lower. To maintain a balance with the gravitational force, the distance r must be larger. This is because, in the equation above, as v decreases, r must increase to keep the equation balanced.
Therefore, the second satellite orbits at a distance greater than r.
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Answer it or you are bad in physics
Answers
Answer:
1.water evaporates from the sea
2.water rises in warm air
3.water vapor is cooled and form clouds
4.clouds move and water falls on land as rain
5water travels along a rive to the sea
Explanation:
and that is how the water cycle works
Could the source transformation be applied when voltage source is in parallel to impedance Zs? a. No, it could not b. Yes, it could
Answers
Yes, the source transformation can be applied when a voltage source is in parallel with impedance Zs.
b. Indeed, it could. The source change strategy can be applied when a voltage source is in lined up with impedance Zs. The interaction includes changing over the voltage source and impedance mix into a comparable current source and impedance or the other way around.
To apply source change for this situation, the voltage source is changed into a comparable current source. The same current source esteem is determined by separating the voltage source esteem by the impedance esteem (Is = Versus/Zs). The impedance Zs stays unaltered.
When the source has been changed into a comparable current source, standard circuit examination strategies can be applied. The changed circuit can be improved, and computations, for example, seeing as current or voltage can be performed utilizing Ohm's Regulation and Kirchhoff's regulations.
Consequently, the source change strategy is pertinent and valuable for streamlining and breaking down circuits where a voltage source is in lined up with impedance Zs.
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need help on these questions
Answers
I= 11
R=10
2. V= 110
I= 5.5
R= 20
3. V= 100
I= 5
R= 20
4. V= 500
I= 5
R= 100
To show work plug in those numbers to V=IR
the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. false true
Answers
The following statement is false. According to the theory of synergy, when two or more elements interact, the overall effect is greater than the sum of a individual effects.
Explain force.The push and pull on a massed item alters its velocity, which is the definition of force. An agent the with power to alter a body's rest or mobile condition is known as an external force. It has a magnitude and direction.
What is the force unit in the SI?The SI unit of force is the newton, denoted by the letter N. The following basic units are relevant to force: The symbol for a metre is m, while for a kilogram, that represents mass, it is kg. The second, or s, is a unit.
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why it is important to have a regular
supervision of the weight and measurement and in the market
Answers
Imagine you are in an open field where two loudspeakers are set up and connected to the same amplifier so that they emit sound waves in phase at 688 hz. Take the speed of sound in air to be 344 m/s.
Answers
With the sound waves in phase at 688 hz and the speed of sound in air to be 344 m/s we have a wavelength of 0.5 m
To solve this problem the formula and the procedure that we have to use is:
λ = v / f
Where:
f= frequencyv= wave speed λ= wavelengthInformation about the problem:
f= 688 Hzv= 344 m/sλ = ?1 Hz = s˄ -1Using the wavelength formula and replacing values we get:
λ = v / f
λ = 344 m/s / 688 Hz
λ =0.5 m
What is frequency?It is the quantity that measures the number of times or cycles in which a wave is repeated over time in seconds. Frequency is expressed in Hertz (Hz).
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An object is moving at a constant velocity of 10 m/s for 5 seconds. What is
its acceleration during this time?
Answers
initial velocity (u)=0m/s
final velocity (v)=10m/s
time( t)=5s
acceleration (a)=v-u÷t
acceleration (a)=10-0÷5
acceleration (a)=10÷5
acceleration (a)=2
therefore acceleration (a)=2m/s
A very small 51-g steel ball is released from rest and falls vertically onto a steel plate. The ball strikes the plate and is in contact with it for 0. 50 ms. The ball rebounds elastically and returns to its original height. The total time interval for a round trip is 3. 00 s. What is the magnitude of the average force exerted on the ball by the plate during contact with the plate?.
Answers
The magnitude of the average force exerted on the ball by the plate during contact with the plate is 5.01 × 10² N (approx).
Mass of the steel ball, m = 51 g = 0.051 kg
Time of contact, t = 0.50 ms = 0.50 × 10⁻³ s
Time for a round trip, T = 3.00 s
We know that the ball rebounds elastically and returns to its original height. Therefore, the time taken by the ball to reach its original height = time taken by the ball to fall = t1
Let v be the velocity of the ball just before it strikes the plate.
The initial velocity of the ball is zero.
v = 0, u = 0, a = g = 9.81 m/s²
Using the equation of motion ,s = ut + 1/2 at²= 0 + 1/2 × 9.81 × (t1)²= 4.905t1² …….(1)
Total time interval for a round trip, T = t1 + t + t1= 2t1 + 0.5
Time taken by the ball to fall from the height h = t1
We have, h = 1/2 g t1²
From equation (1),t1 = √[2h/g]
Putting this value in the equation of T,T = √[2h/g] + 0.5
Using the given values of T and g, we get,√[2h/9.81] + 0.5 = 3
h = (9.81/8) × (3 - 0.5)²= 0.05169 m
During the contact of the ball with the plate, the change in momentum of the ball is given by
Δp = mv - mu, Where, final velocity of the ball, v = -u, since the ball rebounds elastically.
Δp = m(v - u)= -2mu
The average force exerted by the plate on the ball is given by F = Δp / t= -2mu / t= -2 × 0.051 × 9.81 / 0.5 × 10⁻³= - 5.01 × 10² N.
Therefore, the magnitude of the average force exerted on the ball by the plate during contact with the plate is 5.01 × 10² N (approx).
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How do the units of work and power compare?
a) The unit for work is a watt. The unit for power is a joule, which is a watt-second. b)The unit for work is a watt. The unit for power is a joule, which is a watt per second. c)The unit for work is a joule. The unit for power is a watt, which is a joule-second.
d)The unit for work is a joule. The unit for power is a watt, which is a joule per second.
Answers
Answer:
Option (d) is correct.
Explanation:
Work done is given by :
W = Fd, where F is force and d is displacement
Unit of work done :
The SI unit of force is Newton (N) and that of displacement is meter (m). So, the unit of work done is N-m. It is call Joule. It means that the unit of work done is Joule.
Power is given by rate at which the work is done. It is given by :
P = W/t, W is work done and t is time
Unit of power:
Unit of work is Joule (J) and that of time is second (s). It means that the unit of power is Watt and it is equal to Joule/second
Hence, the correct option is (d) "The unit for work is a joule. The unit for power is a watt, which is a joule per second".
Answer: The unit for work is a joule. The unit for power is a watt, which is a joule per second.
Explanation:
PLS HELP WILL GIVE BRAINLIEST PLSSSS The equation for the reaction is: Mg(s) magnesium + 2 HCl(aq) hydrochloric acid MgCl2(aq) magnesium chloride + H2(g) hydrogen The student investigated how the rate of this reaction changed when the concentration of hydrochloric acid was changed. Write a plan the student could use. In your plan you should: • describe how you would carry out the investigation and make it a fair test • describe the measurements you would make.
Answers
Answer:
50 cm3 of 1M hydrochloric acid is a six-fold excess of acid. In this reaction, the magnesium and acid are gradually used up. However the acid is in excess, so it is mainly the loss of magnesium (surface area becomes smaller) that causes the change in the rate.
Explanation:
The equation for the reaction is: magnesium + hydrochloric acid → magnesium chloride + hydrogen
Mg(s) + 2HCl(aq) → MgCl2(aq) + H2(g)
Students follow the rate of reaction between magnesium and the acid, by measuring the amount of gas produced at 10 second intervals.
3 cm of magnesium ribbon typically has a mass of 0.04 g and yields 40 cm3 of hydrogen when reacted with excess acid. 50 cm3 of 1M hydrochloric acid is a six-fold excess of acid.
In this reaction, the magnesium and acid are gradually used up. However the acid is in excess, so it is mainly the loss of magnesium (surface area becomes smaller) that causes the change in the rate.
If a graph of volume (y-axis) against time (x-axis) is drawn, the slope of the graph is steepest at the beginning. This shows that the reaction is fastest at the start. As the magnesium is used up, the rate falls. This can be seen on the graph, as the slope becomes less steep and then levels out when the reaction has stopped (when no more gas is produced).
The reaction is exothermic, but the dilute acid is in excess and the rise in temperature is only of the order of 3.5˚C. There is some acceleration of the reaction rate due to the rise in temperature. Some students might notice the flask becoming slightly warm and they could be asked how this would affect the rate of reaction, and how they might adapt the experiment to make it a ‘fair test’.
Additional information
This is a resource from the Practical Chemistry project, developed by the Nuffield Foundation and the Royal Society of Chemistry. This collection of over 200 practical activities demonstrates a wide range of chemical concepts and processes. Each activity contains comprehensive information for teachers and technicians, including full technical notes and step-by-step procedures. Practical Chemistry activities accompany Practical Physics and Practical Biology.
To solve this we must be knowing each and every concept related to Le Chatelier′s Principle. Therefore, when concentration of hydrochloric acid was changed. the concentration of product will also change.
What is Le Chatelier′s Principle?When a stress is given to a chemical system in equilibrium, the equilibrium shifts to alleviate the tension, according to Le Chatelier′s Principle. In other words, it can anticipate the outcome of a chemical reaction with response to changes in temperature, concentration, quantity, or pressure.
While Le Chatelier's concept can be used to anticipate the reaction to a change from equilibrium, it doesn't explain why the system behaves as it does (at the molecular level).
Mg(s) + 2 HCl(aq) \(\rightarrow\) MgCl\(_2\)(aq) + H\(_2\)(g)
According to Le Chatelier′s Principle, when concentration of hydrochloric acid was changed. the concentration of product will also change.
Therefore, when concentration of hydrochloric acid was changed. the concentration of product will also change.
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scientific findings that prove the strong nuclear force exsist
Answers
Answer: The strong nuclear force is one of the four fundamental forces in nature; the other three are gravity, electromagnetism and the weak force. As its name implies, the strong force is the strongest force of the four. It is responsible for binding together the fundamental particles of matter to form larger particles