Maintaining the same velocity, the time taken by the swimmer to swim the first 50m across the English Channel is 4.3hrs.
This question is incomplete, the complete question is;
If the swimmer could cross the English Channel (32km) maintaining the same velocity as for the first 50 m in the pool, how long would it take?
For the first 50m in the pool, the average velocity was 2.08 m/s
(Actual times are around 15 hours.)
Given the data in the question;
Distance of the English Channel; \(d_1 = 32km = 32000m\)Distance swam by the swimmer; \(d_2 = 50m\)Average velocity of swimmer; \(\delta v = 2.08 m/s\)We calculate the time taken by the swimmer for the first \(50m\) in the pool.
We know that; Speed is distance travelled by a particle per unit time.
Speed = Distance / Time
Hence, Time = Distance / Speed
\(t =\frac{ \delta d }{ \delta v}\)
Here, \(\delta d\) is change in distance, \(\delta v\) is the average velocity and t is time taken.
Hence,
\(t = \frac{d_1 - d_2}{\delta v }\)
We substitute our given values into the equation;
\(t = \frac{32000m - 50m}{2.08 m/s}\)
\(t = \frac{31950m}{2.08m/s}\)
\(t = 15360.5769 s\)
We convert to seconds to hours
\(t = \frac{15360.5769}{(60*60)} hrs\)
\(t = 4.26 = 4.3 hrs\)
Therefore, maintaining the same velocity, the time taken by the swimmer to swim the first 50m across the English Channel is 4.3hrs.
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1. The kinetic energy of a car is 8 106 J as it travels along a horizontal road. How much work is required to stop the car in 10 s? (A) zero joules (B) 8 105 J (C) 8 107 J (D)8 104 J (E) 8 106 J
The power to stop the car with kinetic energy of a car is \(8*10^{6} J\) as it travels along a horizontal road is \(8*10^{5} watt\), option B
What is Kinetic energy ?Kinetic energy can be seen as one that is been recorded when an object is able to move from a place , in a broad term we can say this is the energy that can be attributed to that of someone leaving a place and go to another place hence we can see it as the one in the motion.
The definition of energy as the "power to accomplish work" refers to the capacity to apply a force that moves an object. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. The two types can be attributed to the one we know which are kinetic and potential energy.
\(Power \frac{Energy}{time}\)
\(Energy = 8*10^{6} J\)
\(time = 10 s\)
\(Power = \frac{8*10^{6} J}{10}\)
\(power = 8*10^{5} watt\)
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proper question;
The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s? (A) zero joules (B) 8 105 J (C) 8 107 J (D)8 104 J (E) 8 106 J
A soccer player heads the ball and sends it flying vertically upwards at a speed of 18.0 m/s . How high above the players ' head does the ball travel ?
Answer:
16.53 m
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 18.0 m/s.
Final velocity (v) = 0 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Maximum height (h) =.?
The maximum height reached by the ball can be obtained as follow:
v² = u² – 2gh (since the ball is going against gravity)
0² = 18² – (2 × 9.8 × h)
0 = 324 – 19.6h
Rearrange
19.6h = 324
Divide both side by 19.6
h = 324 / 19.6
h = 16.53 m
Therefore, the maximum height reached by the ball is 16.53 m
Which property of matter is conserved in chemical reactions and shown by balanced equations?
O mass
O volume
O density
O shape
Answer:
Mass.
Explanation:
I took the quiz and got the answer right
Six identical cells with an EDS of 3 V connected in a battery. Resistors R₁ and R₂=16Ω are connected to the battery, the total resistance of the external circuit is R=6Ω and the current flowing in it is 1 A. Determine the resistance of the first resistor and the EDS and internal resistance of the battery.
- The resistance of the first resistor (R₁) is 12 Ω.
- The electromotive force (EMF) of the battery is 18 V.
- The internal resistance of the battery is 12 Ω.
To solve the given problem, we can apply Kirchhoff's laws and Ohm's law to determine the resistance of the first resistor (R₁) and the electromotive force (EMF) and internal resistance of the battery.
Let's start by calculating the resistance of the first resistor (R₁):
1. Apply Ohm's law to find the voltage drop across the external circuit:
V = I * R
V = 1 A * 6 Ω
V = 6 V
2. The voltage drop across the external circuit is equal to the EMF minus the voltage drop across the internal resistance of the battery:
V = E - Ir
6 V = E - (1 A * r) (where r is the internal resistance of the battery)
3. We also know that the EMF of the battery is the sum of the voltage drops across each cell in the battery:
E = 6 cells * 3 V/cell
E = 18 V
4. Substitute the value of E in the equation from step 2:
6 V = 18 V - r
r = 12 Ω
Therefore, the resistance of the first resistor (R₁) is 12 Ω.
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Maria read on an internet blog that infrared light is dangerous to humans. According to the blog, infrared light exposure is responsivle for a number of detrimental effects in humans. Which of these can actually be caused by exposure to infrared light?
a-overheating
b-skin cancer
c-radiation sickness
d-memory less
Of the options listed, the only effect that can be caused by exposure to infrared light is overheating (option a).
Infrared light is a form of electromagnetic radiation that is invisible to the human eye but can be detected as heat. When exposed to high levels of infrared light, such as in close proximity to a powerful infrared source, it can lead to overheating of the body or objects. Skin cancer (option b) is not directly caused by infrared light. It is primarily associated with overexposure to ultraviolet (UV) radiation from the sun or artificial sources like tanning beds. UV radiation falls in the higher energy range of the electromagnetic spectrum, while infrared radiation has lower energy. Radiation sickness (option c) is caused by exposure to high-energy ionizing radiation, such as gamma rays or X-rays. Infrared light does not possess enough energy to cause ionization and is therefore not capable of inducing radiation sickness. Memory loss (option d) is not a known effect of exposure to infrared light. Memory loss can be attributed to various factors, such as neurological conditions, head injuries, or aging, but not specifically to infrared light exposure. In summary, while exposure to high levels of infrared light can lead to overheating, it does not cause skin cancer, radiation sickness, or memory loss.
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Police at a crime scene find a ceramic mug shattered on the sidewalk. They want to determine the window from which the mug fell, and they decide to make a model of the fall. Which quantitiy would be an important boundary condition for this model?
the hardness of the sidewalk where the mug landed
the time of day when the incident occurred
the final speed of the mug
the initial height of the mug above the sidewalk
Answer:
Initial height
Answer:
A: the hardness of the sidewalk where the mug landed
Explanation:
did the quick check
#5) Which of the following procedures would make
the biggest increase to gravitational force between two
identical objects?
A) Increasing the masses and increasing the distance
between the two objects.
B) Decreasing the masses and decreasing the distance
between the two objects.
C) Increasing the mass and decreasing the distance
between the two objects.
D)Decreasing the masses and increasing the distance
between the two objects.
Answer:
C) Increasing the mass and decreasing the distance
Explanation:
Since the equation for gravitational force is Fg = (Gm₁m₂)/r² where m₁ and m₂ are the masses of the objects and r is the distance between them, increasing the masses and decreasing the distance will produce a larger Fg.
Hope this helps. I'm not great at explaining. I'm new to Brainly
Thanks
Planets that share similar characteristics with earth are called
Answer:
Earth analogue
Is there another planet like Earth?
I am trying to answer it in a simple way.
The Big Bang theory attempts to explain to us about the origin of the universe. It talks of a singular huge explosion unimaginable in physical terms.The universe expanded and hence the temperature came down. Later galaxies were formed which makes the present day universe
In the solar system of the milky way galaxy earth was supposed to have been formed about 4.5 years back.Life appeared 500 million years after the formation of earth.
Now the primitive earth (at the very early stages of its formation) looked like this
So, how it becomes life sustaining planets from primitive condition.The credit goes to Sun, the ultimate source of energy
And later evolution happened (after the formation of life of course)
The earthians
After reading the above lines you can say that Sun helps a lot in the formation of earth and thus in the formation of life.
How many stars are there in the universe?( infinite)
How many galaxies exists in the universe?(infinite)
How many planets like earth would be there in the universe? (Of course infinite)
So the only anomaly remains here is that humans have not yet succeeded in discovering a planet like earth. ( That doesn't mean there is no planet like earth)
These are some of the planets like earth as discovered by NASA in 2015.From left these are Kepler-22b, Kepler-69c, Kepler-452b,Kepler-62f, Kepler-186f (Wow amazing names!) and earth.
There are numerous planets like earth in the entire universe. So lets keep searching for such planets.
Thanks.
why what is derived unit justify
Answer:
All other SI units are derived by multiplying, dividing or powering the base units in various combinations, For example: mechanical work is force applied multiplied by distance moved and has the unit newton metre written as Nm.
Explanation:
please mark me as the brainliest
Anyone help me do this am giving the brainliest
Explanation:
The first step is to write the 1st condition of equilibrium, which states that the net force acting on the beam is zero:
\(F_{net} = 5\:\text{kN} + N_L + N_R - 40\:\text{kN} - 60\:\text{kN} = 0\)
where \(N_L\) and \(N_R\) are reaction forces at the beam supports on the left and right, respectively.
Next, the 2nd condition of equilibrium states that the net torque about a pivot point is zero. Let's choose the location of the left beam support as our pivot point, which will make the torque due to \(N_L\) is equal to zero. Let us also assume that the counterclockwise direction produces positive torque. So we can write
\(\tau_{net} = (40\:\text{kN})(2\:\text{m}) + (5\:\text{kN})(5\:\text{m}) \\+ N_R(7\:\text{m}) - (60\:\text{kN})(8\:\text{m}) = 0\)
\(\Rightarrow 80\:\text{kN-m} + 25\:\text{kN-m} + N_R(7\:\text{m}) \\= 480\:\text{kN-m}\)
Solving for \(N_R,\) we see that
\(N_R = 53.6\:\text{kN}\)
Putting this value into our 1st equation, we find that the reaction force \(N_L\) is
\(N_L = 100\:\text{kN} - 5\:\text{kN} - N_R\)
\(\:\:\:\:\:\:\:\:= 41.4\:\text{kN}\)
The image below represents water's... *
Answer:
it represents the physical changes.
Explanation:
I
An arrow of mass 20 g is shot horizontally into a bale of hay, striking the hay with a velocity of 60 m/s. It penetrates a depth of 40 cm before stopping. What is the average stopping force acting on the arrow
From the question, The kinetic energy of the fired arrow is equal to the work done by the bale of hale in stopping the arrow.
We make use of the following formula
mv²/2 = F'd................... Equation 1
Where
m = mass of the arrowv = velocity of the arrowF' = average stopping force acting on the arrowd = distance of penetrationMake F' the subject of the equation
F' = mv²/2d.................. Equation 2
From the question,
Given:
m = 20 g = 0.02 kgv = 60 m/sd = 40 cm = 0.4 mSubstitute these values into equation 2
F' = 0.02(60²)/(0.4×2)F' = 72/0.8F' = 90 NHence, The average stopping force acting on the arrow is 90 N
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What is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.
The shortest distance in which you can stop, after the breaks are applied is 80.38 m.
What is the shortest distance you can stop?The shortest distance in which you can stop is calculated by applying the principle of conservation of energy and work energy principle.
K.E = ¹/₂mv²
where;
K.E is your kinetic energy
m is your mass
v is your speed
The work done by force of friction before you stop is calculated as follows;
W = Ffx
where;
Ff is the frictional forcex is the shortest distance you can stopW = (μmg)x
where;
μ is coefficient of kinetic frictionW = K.E
(μmg)x = ¹/₂mv²
(μg)x = ¹/₂v²
x = (v²) / (2μg)
x = (32²) / (2 x 0.65 x 9.8)
x = 80.38 m
Thus, the shortest distance in which you can stop, after the breaks are applied is determined by applying the principle of conservation of energy.
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The complete question is below:
Your are driving at 32 m/s, what is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.
During the race competitors work against air resistance.
The work done against air resistance by the winner of the race was 3 360 000 J
Calculate the average air resistance acting on the winner of the race.
To calculate the average air resistance acting on the winner of the race, we need to use the formula:
Work = Force * Distance
In this case, the work done against air resistance is given as 3,360,000 J. However, we do not have the distance traveled or the time taken to complete the race.
Without knowing the distance or time, it is not possible to calculate the average air resistance. Additional information, such as the speed or any other relevant data, would be required to determine the average air resistance.
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Your question is incomplete, but your full question can be:
During the race competitors work against air resistance. The work done against air resistance by the winner of the race was 3,360,000 J. Calculate the average air resistance acting on the winner of the race.
A student investigates the motion of a toy vehicle. The student graphs 40 seconds of data from the investigation. Which statement best describes the motion of the toy vehicle during the first 30 seconds of the investigation?
A. The vehicle was traveling at a constant speed.�
B. The vehicle was accelerating at a constant rate.�<-- this one is wrong
C. The speed of the vehicle was increasing.
D. The acceleration of the vehicle was increasing.�
The vehicle was traveling at a constant speed. So, the correct option is A.
The distance-time graph of the toy vehicle upto 40 seconds is given.
From the graph, it is shown that the motion of the toy vehicle from the time zero second to 30 seconds is represented by a linear curve. That means the distance travelled by the toy vehicle varies equally with equal intervals of time.
If the distance of an object varies equally according to equal intervals of time, the object is said to be under uniform motion.
The speed of an object moving under uniform motion will always be constant.
Therefore, the speed of the toy vehicle shown during the first 30 seconds is constant speed.
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An objects motion changes
Answer:
uh finish the question please lol.
Which correctly describes a different evolutionary stage of a star like the sun?
A) it’s forms from a cold, dusty molecular cloud
B) During a yellow giant stage, it burns carbon in its core and helium in the shell surrounding the core.
C) After leaving the main sequence, its core is stable due to electron degeneracy
D) It becomes a white dwarf after exploding as a supernova
E)During a red giant stage, its core contracts and cools
Answer:
Explanation:
The correct option that describes a different evolutionary stage of a star like the sun is:
D) It becomes a white dwarf after exploding as a supernova
This is because a star like the sun does not have enough mass to undergo a supernova explosion. After it has exhausted all the fuel in its core, it will evolve into a red giant and then a planetary nebula, leaving behind a small, hot, dense remnant known as a white dwarf. Supernovae occur in much more massive stars that have cores that can collapse to form a neutron star or black hole.
A car has a mass of 1200 kg and an acceleration of 4 m/s^2. If the friction on the car is 200 N, how much force is the thrust providing?
Answer:
5000N
Explanation:
According to Newton's second law of motion, the net force (∑F) acting on a body is the product of the mass (m) of the body and the acceleration (a) of the body caused by the force. i.e
∑F = m x a -------------(i)
From the question, the net force is the combined effect of the thrust (F) and the friction force (Fₓ). i.e
∑F = F + Fₓ -------------(ii)
Where;
Fₓ = -200N [negative sign because the friction force opposes motion]
Combine equations(i) and (ii) together to get;
F + Fₓ = m x a
F = ma - Fₓ -------------(iii)
Where;
m = mass of car = 1200kg
a = acceleration of the car = 4m/s²
Now substitute the values of m, a and Fₓ into equation (iii) as follows;
F = (1200 x 4) - (-200)
F = 4800 + 200
F = 5000N
Therefore, the force the thrust is providing is 5000N
State the three rules of refraction for converging lenses
The three rules of refraction for converging lenses, also known as convex lenses, are as follows:
1. The incident ray parallel to the principal axis refracts through the lens and passes through the focal point on the opposite side of the lens.
2. The incident ray passing through the focal point refracts and emerges parallel to the principal axis.
3. The incident ray passing through the center of the lens continues undeviated.
The three rules of refraction for converging lenses, also known as convex lenses, are as follows:
1. The incident ray parallel to the principal axis refracts through the lens and passes through the focal point on the opposite side of the lens.
When a ray of light traveling parallel to the principal axis (the horizontal line passing through the center of the lens) enters a converging lens, it refracts and bends toward the principal axis. After refraction, the ray passes through the focal point on the opposite side of the lens. This rule is essential in understanding the behavior of light rays in converging lenses.
2. The incident ray passing through the focal point refracts and emerges parallel to the principal axis.
When a ray of light passes through the focal point before entering the lens, it refracts and emerges parallel to the principal axis. This rule implies that light rays that enter the lens at different angles converge and meet at the focal point on the opposite side.
3. The incident ray passing through the center of the lens continues undeviated.
When a ray of light passes through the center of a lens, it continues in a straight line without deviating from its path. This rule is derived from the fact that the refractive index of the lens material is the same throughout, resulting in no change in the direction of light passing through the center of the lens.
These rules of refraction for converging lenses help in understanding how light rays interact with the lens and how the lens focuses incoming light. By applying these rules, one can predict the behavior of light rays and determine the location and characteristics of images formed by converging lenses.
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A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in meters?
m
Explain your reasoning.
Since the density of water is
cm3 is
g/cm3, then the volume of 2800 g of water is
cm on each side. Converting [ cm to meters, the cube is
Proy
13 of 15
⠀⠀⠀
Next
cm³. A cubic box with a volume of [
m on each side.
The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.
Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.
Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.
So the filled cubic box has a side length of approximately 0.141 m.
The definition of the unit of current, the Ampere,is based on A. The force per unit length on a conductor in a uniform magnetic field B. The force per unit length on parallel current carrying conductors C. The charge per unit time delivered by a cell of e.m.f 1.0 V D. The charge passing a point per unit time in electrical current
Answer: D
Explanation:
the_______ of an elemnet is the total number of protons an neutrons in the _______of the atom
The mass number of an element is the total number of protons and neutrons in the nucleus of the atom.
What is mass number?Mass number is the total number of protons and neutrons in an atomic nucleus with symbol: A.
An atom is the smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
The atom of an element is made up of the following subatomic particles;
ProtonElectronNeutronThe sum of the proton and neutron in the atom's nucleus is the atom's mass number.
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Object 1 with mass 1=3.25 kg
is held in place on an inclined plane that makes an angle
of 40.0∘
with the horizontal. The coefficient of kinetic friction between the plane and the object is 0.535.
Object 2 with mass 2=4.75 kg
is connected to object 1 with a massless string over a massless, frictionless pulley. The objects are then released.
Calculate the magnitude
of the initial acceleration.
Calculate the magnitude
of the tension in the string once the objects are released.
The magnitude of the initial acceleration of the object is 4.2 m/s².
The tension in the string once the object starts moving is 13.65 N.
What is the magnitude of the initial acceleration?The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;
F(net) = ma
m₂g - μm₁g cosθ = a(m₁ + m₂)
where;
m₁ and m₂ are the masses of the blocksg is acceleration due to gravityμ is coefficient of frictionθ is the angle of inclinationa is the acceleration(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)
33.5 = 8a
a = 33.5/8
a = 4.2 m/s²
The tension in the string once the object starts moving is calculated as;
T = m₁a
T = 3.25 x 4.2
T = 13.65 N
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The exact ____ to be removed by the patient is determined according to the examination
Answer:
organ
Explanation:
The organ removal is the process that involves deep examination. The vital organs may be removed or transplanted if they suffer some sort of disease. The human body has two lungs and two kidneys, if there is a failure or disease in one of these organ the patient can survive without any transplant. In case of heart disease the transplant is the only option that a patient may have. The exact procedure for removal of these organ is determined after deep examination of patient and identifying his history of diseases.
the student measure the massof he wooden block and found it to be =0.20kg.name the apparatus that can used to measure the mass ofthe wooden block
The apparatus that can used to measure the mass of the wooden block by the student is called beam balance.
A beam balance, often referred to as a double-pan balance, is a straightforward tool for determining an object's weight. Two pans or trays are hung from either end of a horizontal beam that is suspended from a pivot point in the middle.
The thing to be weighed is put on one tray, and then the second tray is filled with standard weights until it balances, showing the weight of the object. From little ones used in laboratories to larger ones used in enterprises, beam balances can be found in a variety of shapes and sizes. Because they are precise and operate without electricity or batteries, they are widely used.
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What is the index of refraction for a material if the speed of light in that material is 1.862x108 m/s?
The index of refraction for the material is 1.612.
The index of refraction (n) of a material can be calculated using the formula:
n = c / v
where c is the speed of light in vacuum and v is the speed of light in the material.
Given that the speed of light in the material is 1.862x\(10^8\) m/s, we can substitute the values into the formula:
n = (3.00x\(10^8 m/s) / (1.862x10^8 m/s\))
Simplifying the expression:
n = 1.612
Therefore, the index of refraction for the material is approximately 1.612.
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Part F
Imagine you were a sportscaster at the Olympics. You'd created a mathematical model similar to the one you just did. Imagine that you had a
computer program that could do an instantaneous analysis of video motion using that model. How could you use it in your sportscast?
A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.
Why will a program be needed?A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.
Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience
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What happens to the body’s immune system when attacked by HIV ?
Answer:
HIV attacks a specific type of immune system cell in the body. It's known as the CD4 helper cell or T cell. When HIV destroys this cell, it becomes harder for the body to fight off other infections.
Explanation:
The hydrogen atom, changing from its first excited state to its lowest energy state, emits light with a wavelength of 122 nm. That is in the far ultraviolet. The sodium atom, which like hydrogen has one electron that gets excited outside a core of 10 other electrons, emits light at 589 nm making a similar transition from its first excited state to its lowest state. Which of these statements would be true about the sodium and hydrogen atoms and their spectra?
a. There would be other series of spectral lines ending on the first excited states of both atoms.
b. There would be a series of spectral lines in hydrogen with the longest wavelength one at 122 nm.
c. There would be a series of spectral lines in sodium with the longest wavelength one at 589 nm.
d. The hydrogen atom binds its electron more tightly than the sodium atom does, and would require more energy to remove its electron completely.
Answer:
true b and c
Explanation:
n the electromechanical transitions of the atoms the relationship must be fulfilled
\(\frac{x}{\lambda }\) = R (1 / nf - 1 / no²)
where for the final state nf = 1 giving in the case of hydrogen the Lymma series whose smallest wavelength is lam = 122 nm with nf = 1 and there are a series of spectral lines for each value of n of the final state
in the case of sodium so well it has a transition from an excited state to the kiss state (bad)
Now let's review the different proposals
a) False. The electronic potential for sodium is much lower than for hydrognosia
b) True
c) True
d) true
A 10,000 kg railroad car is rolling at 4.00 m/s when a 4000 kg load of gravel is suddenly dropped in.
What is the car's speed just after the gravel is loaded?
The speed of the car just after the gravel is loaded is 2.8m/s.
An isolated system experiences a change in momentum to zero when the starting and final velocities are equal. The reactions between the particles are separated from the surroundings. Momentum is conserved, so we use the rule of conservation of momentum, which is expressed by the equation
\(P_{f}\)=\(P_{i}\)(1)
Railway is frictionless due to isolated mechanism. The thing travels at a momentum p-based speed while having mass. m
An object's bulk and velocity v are combined to form a vector.Equation of the form gives the velocity.
\(p=mv\)
Using expression p into equation (1)
\(m_{f}v_{f}\)=\(m_{i}v_{i}\)(2)
The final mass of a car is its original mass plus the mass of the gravel added. A car has an initial mass of.10000Kg preliminary pace is
\(m_{f}\)=10000Kg+4000Kg=14000Kg
initial speed 4m/s
the final speed should be found after solving the equation(2) for \(v_{f}\)
\(v_{f}\)=\(\frac{m_{i}v_{i} }{m_f} }\)=\(\frac{10000Kg(4m/s)}{1400Kg}\)=2.8m/s
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