During the evacuation of a system containing large amounts of moisture, it may be necessary to prevent freezing by increasing pressure using a gas such as Nitrogen
The scientific name for nitrogen is N, and it is a flavorless and colorless element. The ground beneath our feet contains nitrogen, as does the water we drink and the air we breathe. In fact, nitrogen makes up the majority of the atmosphere on Earth, making up around 78% of the atmosphere.
Nitrogen, which is necessary for plant growth, can be "fixed" by lightning or given to soils through fertilizers. a flavorless gas with no color. The chemical industry depends on nitrogen. It is used to create explosives, nylon, nitric acid, fertilizers, and colors. Nitrogen is always represented as N2 when it is in a gaseous state. It belongs to the group of seven diatomic molecules.
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Select the correct answer. which of these is a scalar quantity? a. acceleration b. displacement c. length d. velocity
Answer:
length
Explanation:
Write 3 – 4 sentences to describe the kinetic and potential energy of a particle and how the two terms are related.
Potential energy is position relative, and kinetic energy is motion relative. The primary relationship between the two is their ability to transform into each other. In other words, potential energy transforms into kinetic energy, and kinetic energy converts into potential energy, and then back again.
Potential energy defined as :
The energy stored in a body due to either its position or change in shape is known as potential energy. Water stored in a reservoir is an example of potential energy.
PE=mgh
where,
PE is the potential energy
m is the mass of the body
g is the acceleration due to gravity
h is the height above the surface of the earth
Kinetic energy is defined as :
Kinetic energy is the energy of motion, observable as the movement of an object, particle, or set of particles. Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.
Kinetic Energy Formula:
For the Kinetic formula, Ek, is certainly the energy of a mass, m, motion, of course, is v2.
KE = [tex]\frac{1}{2} mv^{2}[/tex]
KE = Kinetic energy
m = mass of the body
v = velocity of the body
What are the similarities between potential energy and kinetic energy?
One of the most important similarities between potential energy and kinetic energy is that they can both be converted into each other's form of energy. When a force is applied to potential energy it converts to kinetic energy. This means that when an object such as a ball is still it has the potential to move.
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Compute the velocity of an electron that has been accelerated through a difference of potential of 100 volts. express your answer in meters per second
The velocity of an electron that has been accelerated through a difference of potential of 100 volts will be 5.93 * [tex]10^{6}[/tex] m/s
Electrons move because they get pushed by some external force. There are several energy sources that can force electrons to move. Voltage is the amount of push or pressure that is being applied to the electrons.
By conservation of energy, the kinetic energy has to equal the change in potential energy, so KE=q*V. The energy of the electron in electron-volts is numerically the same as the voltage between the plates.
given
charge of electron = 1.6 × [tex]10^{-19}[/tex] C
mass of electron = 9.1 × [tex]10^{-31}[/tex] kg
Force in an electric field = q*E
potential energy is stored in the form of work done
potential energy = work done = Force * displacement
= q * (E * d)
= q * (V) = 1.6 × [tex]10^{-19}[/tex] * 100
stored potential energy = kinetic energy in electric field
kinetic energy = 1/2 * m * [tex]v^{2}[/tex]
= 1/2 * 9.1 × [tex]10^{-31}[/tex] * [tex]v^{2}[/tex]
equation both the equations
1/2 * 9.1 × [tex]10^{-31}[/tex] * [tex]v^{2}[/tex] = 1.6 × [tex]10^{-17}[/tex]
[tex]v^{2}[/tex] = 0.352 * [tex]10^{14}[/tex] m/s
[tex]v^{2}[/tex] = 35.2 * [tex]10^{12}[/tex]
= 5.93 * [tex]10^{6}[/tex] m/s
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Describe the usefulness or inconvenience of frictional force by turning a door knob.
The cylinder is pulled in the direction of the knob's turn. If the knob is not twisted, a latch at the end of the cylinder that extends into a recess in the doorframe stops the door from being opened.
What is Frictional force ?The opposing force that is produced when two surfaces attempt to move in the same direction or in opposite directions is known as frictional force. A frictional force is primarily intended to produce resistance to the mobility of one surface over another.
Between solid surfaces, there is friction that is static, sliding, and rolling. The three types of friction are ranked from strongest to weakest: rolling, sliding, and static. Fluids experience fluid friction, which is liquid or gaseous.Learn more about Frictional force here:
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What is meant by a "chain reaction"?
Two identical cars are driving toward one another and sounding their horns. You’re the driver of one of the cars. You measure your car’s horn to be sounding at 512 Hz, but you measure the horn of the other car to be sounding at 600. Hz. The speed of sound is 345 m/s. If you are traveling at 26.8 m/s (60 mph), how fast is the other car traveling?
The speed at which the other car is travelling is 27.71 m/s.
Speed of the second car
The speed of the second car is calculated as follows;
f₂ = f₁(v + v₁)/(v - v₂)
where;
f₂ is the frequency of second carf₁ is frequency of first carv is speed of soundv₁ is speed of first carv₂ is speed of second car600 = 512(345 + 26.8) / (345 - v₂)
600/512 = (345 + 26.8) / (345 - v₂)
1.1718 = 371.8/(345 - v₂)
345 - v₂ = 371.8/1.1718
345 - v₂ = 317.289
v₂ = 345 - 317.289
v₂ = 27.71 m/s
Thus, the speed at which the other car is travelling is 27.71 m/s.
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What is the maximum velocity (in m/s) of electrons ejected from a material by 85 nm photons, if they are bound to the material by 4. 66 ev?
The maximum velocity of electrons is v = 3.20 × 10¹⁵ m/s
The wavelength of photons λ = 85 nm
W = 4.66 ev
What is photoelectric effect and how velocity of photoelectrons is calculated?The emission of electrons happened and absorbed through the electromagnetic radiation is said to be photoelectric effect.
Photoelectric cells, photodiodes works on the principle of photoelectric effect.
According to of photoelectric effect,
E = hν
Here, hc / λ = W + KE max
hc / λ = W + 1/2 mv² max
v² = sqrt of (( hc / λ - W) (2/m))
I cap denotes λ ,
substituting all the values,
v = sqrt of ( (6.623 × 10⁻³⁴ Js ) ( 3 × 10⁸ m/s) / (85 nm) - 4.66ev) (2/ 9.1× 10⁻³¹
v = sqrt of ((1.987800 × 10⁻²⁵ / 85 × 10 ⁹ ) - 4.66 ev ) ( 2.197 × 10³⁰)
v = sqrt of ((2.338588 × 10⁻³⁶) - 4.66 ev ) ( 2.197 × 10³⁰)3.2
v = 3.20 × 10¹⁵ m/s
Thus, the maximum velocity is calculated as v = 3.20 × 10¹⁵ m/s.
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A 4. 137-m long pipe is in a room where the temperature is 16. 164 oc. what is the frequency of the third harmonic if the pipe is closed at one end?
The frequency of the third harmonic if the pipe is closed at one end is = 102.93 Hz.
How can we find the frequency of the third harmonic if the pipe is closed at one end?To find the frequency of the third harmonic if the pipe is closed at one end, we use the formula,
[tex]f_{n} =nf_{1}[/tex]=[tex]n\frac{v}{4L}[/tex] , in this case n= 1,3,5,7,9.....
Here we are given,
L= The length of the pipe = 4.137 m.
v= speed of the sound at 16.164°C .
[tex]v_{0}[/tex]= speed of the sound at 0°C.=331 m/s
Before finding the frequency we have to find the speed of the sound at 16.164°C. To find v, we are using the formula,
[tex]v=v_{0 } \sqrt{\frac{T_{2} }{T_{1} } }[/tex]=[tex]331\times \sqrt{\frac{(273+16.164) }{273 }[/tex]=340.65 m/s.
We have to find the frequency of the third harmonic, so according to the question, n=5
Now we put the known values in the first equation, we can find that
[tex]f_{n}=n\frac{v}{4L}[/tex]
Or,[tex]f_{n} = 5\times\frac{340.65}{4\times 4.137}[/tex]=102.93 Hz.
Therefore, from the above calculation we can conclude that if the pipe is closed at one end the frequency of the third harmonic is 102.93 Hz.
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For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
(1) The critical angles for the fused quartz is 44⁰,
(2) The critical angles for the polystyrene is 39⁰.
(3) The critical angles for the sodium chloride is 41⁰.
What is Critical angles?In optics, the critical angle is the topmost angle at which a shaft of light traveling in one transparent medium can strike the boundary between that medium and another with a lower refractive indicator without being fully reflected within the first
Critical angles for the different medium.
θ[tex]=sin^{-1}\frac{n_{2} }{n_{1} }[/tex]
where;
[tex]n_{2}[/tex] is the refractive index of air = 1
[tex]n_{1}[/tex] is the refractive index of the given substances.
Refractive index of quartz glass = 1.46
Refractive index of polystyrene = 1.59
Refractive index of sodium chloride = 1.54
Critical angles for quartz glass:
[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.46}\\$[/tex]
[tex]$\theta_{\text {crit }}=44^{o}$[/tex]
Critical angles for polystyrene
[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.59}\\\\[/tex]
[tex]\theta_{\text {crit }}=39^{\circ}[/tex]
Critical angles for Sodium Chloride
[tex]$\theta_{\text {crit }}=\sin ^{-1} \frac{1.00029}{1.54}\\[/tex]
[tex]\theta_{\text {crit }}=41^{o}[/tex]
Thus, the critical angles for the quartz glass is 44⁰, the critical angles for the polystyrene is 39 ⁰ and the critical angles for the sodium chloride is 41⁰.
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I understand that the question you are looking for is:
"For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
(a) Fused Quartz
(b) Polystyrene
(c) Sodium chloride"
An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is ____.
An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is 120
A telescope that is intended for seeing celestial bodies and does not need an image-erecting device is anastronomical telescope. While terrestrial telescopes are used to examine faraway objects on earth, astronomical telescopes are used to observe distant stars and planets.
While the final image in the terrestrial telescope is upright, the final image in the astronomical telescope is inverted. Telescopes gather and enlarge the light coming from far-off objects. Observing things in the night sky presents challenges since they are so far away and, as a result, appear so dim. We can see these things more clearly the more light a telescope can gather.
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Consider the diver and the diving board. which object exerts the action force? which object exerts the reaction force? in what direction does the action force push? in what direction does the reaction force push?
action force by Diver, the reaction force is by Diving board, direction of action force is down, direction of reaction force is up.
What is Action and Reaction force?Forces, often known as action and reaction forces, always act in pairs. The force exerted by the initial action on an item is known as the action force, and the force exerted in the opposite direction by the object is known as the reaction force.
Which object exerts the action force?
diver
Which object exerts the reaction force?
diving board
In what direction does the action force push?
down
In what direction does the reaction force push?
up
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Answer:
Which object exerts the action force?
diver
Which object exerts the reaction force?
diving board
In what direction does the action force push?
down
In what direction does the reaction force push?
up
Explanation:
Which is expected to happen during El Niño?
A) Drought conditions in Australia
B) Cool temperatures in the equatorial Pacific
C) An increase in the pressure gradient
D) Unusually high fish yields in Peru
A. Drought conditions in Australia are expected to happen during El Niño.
What is El Nino?El Niño is a normal cycle occurrence of a change in temperatures on the surfaces of the central equatorial, and east equatorial waters of the Pacific Ocean.
The result of this phenomenon which changes the weather condition taking place on the surfaces of the Pacific Ocean is a change in the climate temperatures around the globe, and also the development of weather changes that will affect different parts of the world in different ways.
Hence, drought conditions are a period of time when an area or region experiences below-normal precipitation and El Nino's normal cycle's occurrence changes temperature.
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How do the current and coltage readings compare to before the wires were switched. Explain how to interpret them physically?
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I WILL MARK YOU BRAINLIEST IF YOU CAN ANSWER THIS QUESTION.
Answer:
23.07°
Explanation:
sorry the picture is a little messy!! in a car ride haha. hope this helps!<3
current is passed through two parallel conductors in the same direction. If the conductors are placed near each other,they will
If current is passed through two parallel conductors in the same direction and the conductors are placed near each other, they will attract each other.
What is electric current?Electric current can be defined as the flow of electrons.
Since electrons are easily removed from atom and are very mobile, the flow of electrons constitute an electric current.
Materials which allow electric current to flow through them are known as conductors. Examples of conductors are metals, and electrolytes.
On the other hand, materials which do not allow electric current to pass through them are known as insulators. Examples of insulators are wood and rubber.
The flow of current is known as electricity.
Parallel conductors with current flowing through them in the same direction are attracted to each other as a result of a magnetic field produced by the flow of current.
In conclusion, conductors allow electric current to pass through and the flow of current through a conductor produces a magnetic field.
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What does friis free space loss (fsl) tell us about unguided transmission attenuation? fsl=(4πd/λ)2
When we consider unguided wireless communications, we must understand the signal attenuation that occurs between transmit and receive antennas.
The information, or message, that we wish to transmit, is modulated onto a frequency carrier, which is then emitted from a transmit antenna in the form of an electromagnetic (EM) wave.
The signal power (watts) received by the antenna is much less than the transmitted power due to attenuation loss. The Friis equation (also known as the Free Space Loss, FSL equation) describes this attenuation loss.Attenuation, as treated in the Friis equation, is the spreading of power over an ever increasing surface area as it propagates away from the transmit antenna.
We can measure how much power resides in a 1 meter2 area as a function of distance from the isotropic antenna.
Power Density, Pd = Pt/(4πd2)
where the (λ/4πd)2 term is sometimes referred to as the path loss or free space loss. The following definitions are assumed:
Pt - The transmitted signal power.
λ - The wavelength of the carrier (i.e., the center frequency of the radiated signal)
d - The distance between the transmitting and receiving antennas.
We can also place the above equation into decibel format:
FSLdB = [FSL] = 20log10(4πd/l) = 20log10(4π) + 20log10(d) - 20log10(l)
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A resistor dissipates 2. 00 ww when the rms voltage of the emf is 15. 0 vv. part a at what rms voltage will the resistor dissipate 14. 0 ww ?
At rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.
The term "alternating current" (AC) describes a current in which the voltage and current both take the shape of sinusoidal waves. Root mean square value is indicated by the letter "rms." Both the mean voltage and mean current of an alternating circuit are represented by it.
Also, power dissipated is
P = [tex]V^{2} _{rms}[/tex] / R
2 = [tex]15^{2}[/tex] / R
2 = [tex]\frac{225}{R}[/tex]
R = 112Ω
If P = 14 W,
[tex]V^{2} _{rms}[/tex] = PR
[tex]V^{2} _{rms}[/tex] = 14×112
[tex]V^{2} _{rms}[/tex] = √1568 = 39.59V
Therefore, at rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.
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Calculate the wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s
The wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s will be 0.197 * [tex]10^{-12}[/tex] m
De Broglie wavelength is an important concept while studying quantum mechanics. The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.
momentum (p) = mv
DE Broglie wavelength = lambda = h / p
where
h = plank's constant
m = mass of electron
v = velocity of electron
lambda = h / mv
= 6.633 * [tex]10^{-34}[/tex] / 9. 11 × [tex]10^{-28}[/tex] * 3. 66 × [tex]10^{6}[/tex]
= 0.197 * [tex]10^{-12}[/tex] m
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A ball of mass 4 kg is initially traveling at 2 m/s and has a 5 N force
applied to it for 3 s. What is the impulse applied to the ball?
A. 23 kgm/s
B. 12 kgm/s
C. 5 kgm/s
D. 15 kgm/s
Answer:
D. 15 kgm/s is the value of impulse applied
. Greetings !Given values mass(m) =4kginitial velocity (u) =2 m/sForce(F) =5NTime (t) =3 sec required valueImpulse = ?Solution :[tex]impulse = force \times Δtime \\ impulse = (5) \times (3)...substitute \: values \\ impulse = 15kgm/s[/tex]
When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. What is the metal's work function (also called the binding energy)?
When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. The work function will be 0.030 * [tex]10^{-17}[/tex] J
The work function (or work function) is defined as the minimum amount of thermodynamic work (i.e. energy) required to remove an electron from a solid to a point in the vacuum immediately outside the solid surface.
When light of suitable frequency falls on a metal surface, electrons are emitted. These photo (light) generated electrons are called photoelectrons
h = 6.62 x [tex]10^{-34}[/tex] J/Hz
c = 3 * [tex]10^{8}[/tex] m/s
lambda = 669 * [tex]10^{-9}[/tex] m
work function = h*c/lambda
= 6.62 x [tex]10^{-34}[/tex] * 3 * [tex]10^{8}[/tex] / 669 * [tex]10^{-9}[/tex]
= 0.030 * [tex]10^{-17}[/tex] J
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Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u = , v =
The vector u represents the sum of two orthogonal vectors, and which can be written as,
[tex]u=Proj_vu+(u-Proj_vu)[/tex].
To find the answer, we have to know about the projection of vectors.
How to write u as a sum of two orthogonal vectors?Let u and v are two vectors, then the projection of the vector u onto the vector v is given by[tex]Proj_v u=\frac{u.v}{v.v} v[/tex] (inner product)
let[tex]u=(u_1,u_2)\\v=(v_1,v_2)[/tex] then, projection of u on v is,
[tex]Proj_vu=\frac{u_1v_1+u_2v_2}{v_1v_1+v_2v_2} (v_1,v_2)[/tex]
Then, u can be written as the sum of two orthogonal vectors as,[tex]u=Proj_vu+(u-Proj_vu)[/tex]
Thus, we can conclude that, the vector u represents the sum of two
orthogonal vectors, and which can be written as,
[tex]u=Proj_vu+(u-Proj_vu)[/tex].
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what are the importance of wedge?
A wedge is a machine and it is used for separating bodies.
The Wedge as a MachineThe wedge is a combination of two inclined planes. When the wedge is driven into a body by an effort force, a much larger force will be exerted to each side by the wedge surfaces.
What are the importance of wedge?
A wedge is used to separate bodies which are held together by large forces example of this scenario is splitting of timber. A wedge is a machine and the example of wedge - type of machine are;
AxesChiselKnivesCutting toolsNote that a thin wedge has a higher mechanical advantage than a short thick one.
Therefore, a wedge is a machine and it is used for separating bodies.
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Which best explains the forces acting on the objects?
Objects W and X have balanced forces, and objects Y and Z have unbalanced forces.
Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
Objects X and Y have balanced forces, and objects W and Z have unbalanced forces.
Objects X and Z have balanced forces, and objects W and Y have unbalanced forces.
The option that best explains the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
How do you know if forces are balanced or unbalanced?When the motion of an object is said to be altered, the forces are known to be in a sate that is seen as unbalanced.
Note that Balanced forces are said to be one that are equal in size and also opposite in direction.
Hence, if forces are balanced, there is no alteration in motion and it is seen in cases if a person is pushed or pulled on an object that is seen from opposite directions but also has the same force.
Therefore, The option that best talks about the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces as it does better justice to it.
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What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice?
What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).
What is national provider identifier (NPI)?A National Provider Identifier is a unique 10-digit identification number issued to health care providers in the United States by the Centers for Medicare and Medicaid Services.
What is block 24j?The box 24j Shaded is used to identify the non-NPI if indicated by a qualifier in 24i.
The box 24j displays the NPI of the Rendering Provider.
Thus, what is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).
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During which stage of technological design did shuman identify that using oil and coal would be a problem?
First stage of technological design did shuman identify that using oil and coal would be a problem.
What is part of the first stage in the process of technological design?
The technological design process involves the steps of identifying an issue, researching it, coming up with potential solutions, choosing the best one, building a model, testing it, making adjustments as necessary, and communicating the final answer.
What is part of the fourth stage in the process of technological design?
The four stages of technological design include identifying a need, designing and implementing a solution, and evaluating the solution.
Steps in the Technological Design Process-
Identify the problem. For any new technology to come into existence, there needs to be a need or a desire. Research the problem.Generate possible solutions.Select the best solution.Learn more about Technological Design Process
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How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 x 105 pa)
At depth of h = 10.31 m the surface of a lake would the pressure be double that at the surface
Liquid pressure is the increase in pressure at increasing depths in a liquid. This pressure increases because the liquid at lower depths has to support all of the water above it.
We calculate liquid pressure using the equation liquid pressure = density x acceleration due to g x depth in fluid.
At the surface of the lake , pressure Po is = 1.01 * [tex]10^{5}[/tex] Pa
to find = depth under the surface of a lake would the pressure be double that at the surface
Pressure under the surface will be = 2 * 1.01 * [tex]10^{5}[/tex] Pa = 2.02 * [tex]10^{5}[/tex] Pa
Pressure under the surface = Po + ( rho * g * h )
2.02 * [tex]10^{5}[/tex] = 1.01 * [tex]10^{5}[/tex] + (1000 * 9.8 * h)
1.01 * [tex]10^{5}[/tex] = 1000 * 9.8 * h
h = 10.31 m
At depth of h = 10.31 m the surface of a lake would the pressure be double that at the surface
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Suppose i create a two-slit interference pattern using light with some wavelength lambda and slits with some separation d. If i were to increase lambda, what would happen to the interference pattern on the wall?.
If we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.
What is two - slit interference?The double or two-slit interference is a demonstration that light and matter can display characteristics of both classically defined waves and particles.
It also displays the fundamentally probabilistic nature of quantum mechanical phenomena.
During a two-slit interference experiment, a beam of light is aimed at a barrier with two vertical slits.
The fringe width is given by the relationfringe width = λ L / D
where;
λ is wavelength of light used, L is distance of wall from the source of light and D is slit separation.Thus, if we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.
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If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.
a. true
b. false
If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .
Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.
According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.
According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.
since, potential energy is stored in the form of work done
Work done = Fs cos (theta)
If force always acts perpendicular to an object's direction of motion
theta = 90 °
cos (90 ) = 0
Work done = 0
since , there is no work done , hence kinetic energy will not change
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Q.9 And Q.10 correct answer with explaination
The option c will be correct in Q10.
What is angular velocity?Time rate at which an object rotates about axis or at which angular displacement between two bodies changes.
We have given is
r=4i , angular acceleration = 4j
v= radius×angular acceleration
v= 4i ×k
v=16j
When we cross i× k = j
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A particle of mass 16kg travelling with a velocity of 10m/s is acted upon by a steady force of friction in a direction opposite that of its motion. Find the speed of the particle after 10 seconds if the force of friction is 25N.
The speed of the particle after 10 seconds is, 25.88m/s.
To find the answer, we have to know more about the equations of motion.
How to find the speed of the particle after 10s?It is given that,[tex]m=16kg\\u=10m/s\\t=10s\\f=25N[/tex]
It is clear from the question that, the motion is balanced by the frictional force. Thus, the acceleration will be,[tex]ma=f\\a=\frac{f}{m} =\frac{25}{16}=1.6m/s^2[/tex]
We have the equation of motion for the distance travelled as,[tex]S=ut+\frac{1}{2}at^2=(10*10)+(\frac{1.6*10^2}{2})=178.13m[/tex]
Thus, by another equation of motion connecting a, S, and u, we get the final speed after 10s as,[tex]v=\sqrt{u^2+2aS} =\sqrt{10^2+(2*1.6*178.13)} =25.88m/s[/tex]
Thus, we can conclude that, the speed of the particle after 10 seconds is, 25.88m/s.
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