A subset of vectors in a vector space that are linearly independent and span the entire space is known as a vector basis.
What is basis vector in vector space?
Make V, for some n, a subspace of Rn. If B is linearly independent and spans V, it is said to be a collection of vectors from V with the formula B = v 1, v 2,..., v r. The collection cannot serve as a foundation for V if either of these requirements is not met. Any vector in V can be written as a linear combination of the vectors in a collection of vectors if it spans V and contains enough vectors to do so. Because there aren't too many vectors in the collection, none of them can start to depend on the others if it is linearly independent. Thus, a basis appears to be the perfect size: It can span the room, but it isn't very large.Example 1: Since the vectors I and j are linearly independent and the collection i, j spans R 2, it serves as a basis for R2. The standard basis for R 2 is what is meant by this. Similar to this, the set i, j, k is referred to as the standard basis for R 3 and is, generally speaking, the standard basis for R n.To Learn more About vector basis refer to:
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Two balls are dropped from rest from the same height. One of the balls is dropped 1 s after the other. a. Find the distance that separates the two balls 2 s after the second ball is dropped. b. State what happens to the distance separating the balls as time goes on.
Two balls are dropped from the same height at 1 second interval of time. The separation between the two balls after 2 seconds of the drop of the 1st ball is 14.7 m
How is it calculated?For the motion of first ball ,
u = 0
a = g
t₁ = 2 s
∴ The distance travelled by the first ball in 2 s
S₁ = [tex]\frac{1}{2}[/tex] g t₁²
∴ S₁ = [tex]\frac{1}{2}[/tex] × 9.8 × (2)²
∴ S₁ = 4.9 × 4
∴ S₁ = 19.6 m
For the motion of second ball ,
u = 0
a = g
t₂ = 2-1 = 1 s
∴ The distance travelled by the second ball in 1 s
S₂ = [tex]\frac{1}{2}[/tex] g t₂²
∴ S₂ = [tex]\frac{1}{2}[/tex] × 9.8 × (1)²
∴ S₂ = 4.9 × 1
∴ S₂ = 4.9 m
Separation between the two balls = S₁ - S₂
∴ Separation = 19.6 - 4.9
∴ Separation = 14.7 m
The distance separating the balls as time goes on is 14.7 m
What is distance?The distance between two points in physical space is the length of the straight line between them, the shortest possible path. This is the usual meaning of distance in classical physics, including Newtonian mechanics. Straight-line distance is mathematically formalized as Euclidean distance in 2D and 3D space.Can learn more about separation distance from https://brainly.com/question/11327563
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for the gain k computed in (a), nd the frequency ! > 0 that maxi- mizes the gain of the frequency response of the closed-loop system. compute the corresponding gain.
The corresponding gain is 7.81×10-³
With compensation G(s) = k / (s+3) (s+1)
a) closed loop characteristic equation is
1 + G(s) = 0
(s+3) (s+1) + k = 0
s² + 4s + k + 3 = 0 ------ (1)
standard form of characteristic equation is
s² + 2ξ ωn + ωn² = 0 ------ (2)
Given ξ = 1/√2
comparing equation (1) and (2)
ωn² = k+3 , ωn = √(k+3)
2 ξ ωn = 4
2 × 1/√2 × √ (k+3) = 4
√(k+3) = 2√2
k + 3 = 8, k = 5
b) closed loop tranfer function
T(s) = G(s) / 1+G(s)
= 5/ s²+4s+8
magnitude |G(s)| = 5/√ [ (64-ω²)² + (4ω)²]
For maximum gain, denominator --> maximum
d/dω [ (64-ω²)² + 16ω²] = 0
2(64-ω²)² (-2ω) + 32ω = 0
4ω ( -4096 - ω⁴+128ω²+8 ) = 0
ω⁴ + 128ω² - 4088 = 0
ω = 26.6 rad/s
Gn = 5/√ [ (64-ω²)² + (4ω)²]
Gain = 7.81×10-³
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Consider the collision of the two balls in figure 9. 14. Is the magnitude of the impulse delivered to ball 1 greater than, less than or equal to the magnitude of the impulse delivered to ball 2?.
The ball with the greatest ∆v will also have the greatest m×∆v. And if impulse is equal to the momentum change, then the ball with the greatest m×∆v also encounters the greatest impulse.
The critical element is that to change momentum we need to either use more force or growth the period of the identical force. The extra the impulse of force, the extra the trade to momentum of a body projectile, human frame, tennis racket, ball, and so forth.
For a force with a constant importance, we are able to find the importance of the impulse with the aid of multiplying the importance of the pressure by the point that force is exerted. If the pressure is not steady, we simply integrate the pressure characteristic over the set time period.
While one force is extra than every other, the forces are not balanced, they may be unbalanced. Through making use of an unbalanced force, you could change the movement of an item. Unbalanced forces could make an item at relaxation start moving, make a moving item stop, or exchange the course and speed of the item.
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since 21-cm wavelengths from hydrogen pass through dust, astronomers were able to map the spiral arms of the milky way.
In the radio spectrum, hydrogen atoms emit electromagnetic radiation that can pass through the Milky Way's dust, as was discovered by astronomers.
What is a good astronomical example?The office complex was extremely expensive. This month, our phone bill was outrageous. To represent contemporary usage of the word "astronomical," these example sentences were chosen programmatically from various internet news sources.
What kinds of astronomy are there?The two primary categories of astronomy are theoretical and observational. Telescopes and photographers are used in mathematics and astronomy to view or observe constellations, galaxy clusters, and other celestial objects. Observations are explained by theoretical astronomy
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match: fractions can be used to represent different scenarios. match each situation with the best model.
Fractions can be used to represent different scenarios:
1. A pizza was cut into 4 equal slices: Fraction: ¼
2. One quarter of a cake was eaten: Fraction: ¼
3. One half of a pizza was eaten: Fraction: ½
4. Two quarters of a cake were eaten: Fraction: ½.
What is Fraction?
A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute as well as judge numbers. The representation of fractions appears simpler than when decimal values are used. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate parts of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the overall number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
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which of the following is not true? (a) wave reflected from a loose boundary will keep its original shape but travelling in an opposite direction.
According to the statement makes it possible to treat reflected light from a mirror.
What term would you choose to describe reflection?The verbs cogitate, deliberate, reason, conjecture, and think are some frequent synonyms for reflect. All of these phrases refer to "using one's faculties of conceptualization, judgment, or inference," but reflect denotes thoughtful reflection on a memory.
How does it imply to reflected things through?unchanging verb. When you reflect, you give something serious thought. We should all allow ourselves space to think. Alternatives: think, evaluate, deliberate, and think. More words for reflect recognizing a people's verbal and nonverbal cues for their feelings and emotions, then expressing (or reflection) those sentiments directly to the user or customer, is known as reflecting feelings.
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As you approach a steady light source, the wavelength of the emitted light appears.
As you approach a steady light source, the wavelength of the emitted light appears shorter.
In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's form repeats.
Wavelength is the space between identical points (adjoining crests) in the adjoining cycles of a waveform signal propagated in space or alongside a twine. In wireless structures, this period is usually specified in meters (m), centimeters (cm), or millimeters (mm).
Meter is the SI unit of wavelength. It is denoted as m. whilst measuring wavelength the multiples or fractions of a meter are likewise used. substantially, exponential powers of 10 are used whilst wavelengths are of large assets.
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2 co2 using standard heats of formation, calculate the standard enthalpy change for the following reaction.
Using standard heat of formation we can calculate the standard enthalpy Change for this reaction.
What is reaction?
Reaction is a process that's leads to the chemical transformation of one set of chemical substances to another.
Sol-In this question they have us that using standard heats of formation, so here we have to use standard heats of formation, so by using standard heats of formation, we have to calculate standard enthalpy change. So here we have to calculate standard enthalpy change for the particular reaction. So what is the given reaction for that? We have to find out standard, enthalpy change, so the reaction here. It is c that is the solid graphite plus oxygen gas. It gives rise to c to gas. This is the reaction for this reaction. We have to find out standard heat of formation. That is so here we have to. By using standard heat of formation, we have to calculate standard enthalpy change. That is the question, so we know that standard heat of formation of graphite- that is the graphite graphite. That is equal to 0 kilo, joules per mole, so here there's a hitch of formation of oxygen gas, oxygen gas that is equal to 0. So this is the 0 kilo joules per mole and here also delta hedge of formation of oxygen. Gas is equal to 0 kilo, joulesper mole, so delta h of the formation of carbon dioxide gas. So it will be, it is so what it be. It will be. The minus 393.5 kilo joules per mole, so delta h of formation of carbon dioxide gas, is equal to minus 393.5 kilo joules per mole. This is the ans.
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A fast-pitch softball player pitches the ball horizontally at 22.4m/s. Her release point was 0.67m above the ground. What is the horizontal acceleration of the softball after she lets go of the ball?
The horizontal acceleration of the softball after she lets go of the ball is 0 m/s².
option B is the correct answer
What is the horizontal acceleration of a projectile?During a projectile motion, the vertical acceleration of a projectile decreases as the projectile moves upwards and eventually become zero as the object reaches the maximum height.
As the object begins move downwards, the vertical velocity of the projectile increases and eventually becomes maximum before the object hits the ground.
During the horizontal motion of a projectile, the horizontal velocity of the projectile does not change. That is the initial horizontal velocity of the projectile equals the final horizontal velocity of the projectile.
a = v - u/t
where;
v is the final horizontal velocityu is the initial horizontal velocityt is time of motionSince, final horizontal velocity = initial horizontal velocity
v = u
a = 0
In summary, the vertical velocity of the a projectile changes while the horizontal velocity does not change. This results in a zero horizontal acceleration of the projectile.
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a ball fired downward from a height of 112 feet hits the ground in 2 seconds find its inital veloci8ty
The initial velocity is Vo = -24 ft/sec.
Solution:
s(t) = -16t² + Vot + 112 +112
5(2) = 0
16(2)² + Vo(2) +112=0
Vo = -24 ft/sec
We know that when an object falls its initial velocity is zero. When an object leaves contact with something that is holding or throwing it, it is in free fall. Under these conditions, the motion is one-dimensional and has a constant acceleration of magnitude.
Initial velocity describes how fast an object is when gravity first exerts a force on it. On the other hand, the final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration. This equation defines the maximum projectile height from the launch position and depends only on the vertical component of the initial velocity.
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the distance to the north star, polaris, is approximately 6.44 1018 m. (a) if polaris were to burn out today, how many years from now would we see it disappear?
2,042.1 years time from now will we see it disappear.
d = 6.44. 3.10¹⁸ m,
v = 3.10⁸ m/s,
t = 6.44.3. 10¹⁸ / 3. 10⁸ s = 6.44 . 10¹⁰ sec.
Converting seconds to years:
6.44. 10¹⁰ sec . (1min/60 sec).(1h/60 min). (1d/24h)(1y/365d) = 2,042.1 years.
Physicists define time as the progression of events from the past through the present, and into the future. If a system doesn't change, it is effectively timeless. When describing events that take place in three-dimensional space, time may be seen as the fourth dimension of reality. We are unable to see, touch, or taste time, yet we can compute how much time has passed.
Everywhere in classical mechanics, time is constant. The timekeeping systems are still in sync. But as Einstein's special and general theories of relativity show, time is relative. It depends on the observer's perspective of view. The theory of time dilation states that when one approaches the speed of light, the intervals between events grow longer (dilates).
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a single goose sounds a loud warning when an intruder enters the farmyard. some distance from the goose, you measure the sound level of the warning to be 83.0 db. 1) if a gaggle of 28 identical geese is present, and they are all approximately the same distance from you, what will the collective sound level be if they all sound off simultaneously? neglect any interference effects. (express your answer to three significant figures.)
The answer is 97.47 dB.
Solution:
I = 83 dB ; n = 28
we know that
I(dB) = 10 log (I/I0)
83 = 10 log (I/I0)
8.3 = log (I/I0)
I/I0 = 10^8.3
I(combined) = 10 log (28 x 10^8.3) = 97.47 dB
Hence, I(combined) = 97.47 dB
The logarithmic sound intensity scale corresponds to human hearing. Doubling the intensity increases the sound level by 3 dB. The closer or further away the particles are, the greater the amplitude of the sound. Sound amplitude determines the loudness and strength of the sound. The higher the amplitude, the louder and more intense the sound. Sound intensity is measured in watts per square meter.
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a doubly charged ion is accelerated to an energy of 31.0 kev by the electric field between two parallel conducting plates separated by 1.70 cm. what is the electric field strength (in v/m) between the plates?
The electric field strength (in v/m) between the plates is 9.117647 X10⁵ eV/m
The electric
field strength can be calculate as follows:
The magnitude of the electric field between two parallel conducting plates is defined as:
E = ΔV
d
where ΔV is the potential difference between the plates and d is their separation.
Potential energy is defined as the product of the particle charge and the potential difference.
u = q ΔV
Solve ΔV and subtitute to the electric field equation:
ΔV= U/ q
E= U/qd
In this case we have a double charged ion, so q= 2e
E = 31 x10³ eV = 911,764.7 eV/m =9.117647 X10⁵ eV/m
(2e) (1.7 x10⁻²m)
therefore, the electric field strength (in v/m) between the plates is 9.117647 X10⁵ eV/m
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according to the sine-wave generated by three phase power, what is the measured separation of each phase?
Three sine waves separated by 120 degrees make up three-phase power. An AC generator with three separate windings that are each precisely 120 degrees apart generates this type of electricity.
What is three phase power ?To supply electricity to data centers, as well as to commercial and industrial buildings that house power-hungry machinery, three-phase alternating current (AC) power is frequently used. This is for good reason, as 3-phase AC power is more efficient and capable of delivering more power than single-phase AC power.
Three-phase power sources are more effective than single-phase power sources when compared. While just requiring one more wire, a three-phase power supply can transmit three times as much power as a single-phase power supply (that is, three wires instead of two).
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the evolutionary value of the five-factor model dimension of neuroticism is that neurotic individuals have a greater likelihood of surviving because they
The evolutionary value of Five-Factor Model dimension of Neuroticism is that neurotic individuals have greater likelihood of surviving due to the reason that they are overly cautious and attuned to danger.
What is the Five Factor Model?The Five Factor Model of general personality structure consists of five broad domains of neuroticism that are : extraversion, openness, agreeableness and conscientiousness. These traits reflect the huge differences between people in their motivations.
A broad construct conveying a predisposition to experience psychological distress and negative mood states is called neuroticism. Component subscales of neuroticism are: personality traits of anxiety, hostility, depression, social anxiety, impulsiveness and vulnerability to stress.
Neuroticism is defined as a broad personality trait dimension representing the degree to which a person experiences the world as distressing, threatening and unsafe.
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a large star of 1018 kg and a small star are 105 meters apart and attract with 6.7 n. what is the mass of the small star (in kg)?
The gravitational force makes them to attract, and the mass of the small star is 10.87 x 10 ^ 11 kg.
Gravitational force is a force that attracts any two objects with containing mass. It can be said that the gravitational force attractive because it always tries to pull masses together, it never pushes them apart.
Gravitational force is
Fg = Gm1m2/r^2
putting the appropriate values we get
6.7 = (G x 1018 x m2)/105^2
m2 = (6.7 x 105 x 105)/ 6.67 × 10-11 x1018
m2 = 10.87 x 10 ^ 11 kg
Hence the mass of the second object is 10.87 x 10 ^ 11 kg.
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A thin, cylindrical rod = 23.4 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge.
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy?
1 J
(b) What is the angular speed of the rod and ball?
2 rad/s
(c) What is the linear speed of the center of mass of the ball?
3 m/s
(d) How does it compare with the speed had the ball fallen freely through the same distance of 28.4 cm?
vswing is 4 ---Select--- greater than less than vfall by 5 %.
a) The rotational kinetic energy after the combination rotates through 90° is 7.868 J
(b) The angular speed of the rod and ball is approximately 8.27 rad/s
(c) The linear speed of the rod and ball is approximately 2.35 m/s
(d) The linear speed of the rod and ball combination is 0.01 m/s faster than the speed of ball free falling from 28.4 cm
What is the angular speed of the rod and ball?The Given:
Length of the cylindrical rod, l = 23.4 cm
Mass of the rod, m = 1.20 kg
Mass of ball, M = 2.00 kg
Diameter of the ball, d = 10.00 cm
The rotational kinetic energy of the ball when it rotates 90° :
The total potential energy of the rod and ball at the top is the rotational kinetic energy of the ball at the bottom
PE( rod)= 0.5 × m× g × l
∴ PE (rod) = 0.5×1.20×9.81×0.27 = 1.58922
PE (ball) = 2×9.81×(0.27 + 0.05) = 6.2784
PE (Total) = 1.58922 J + 6.2784 J ≈ 7.868 J.
KE (rot) = 7.868 J.
KE = [tex]\frac{1}{2} \times I \times \omega^2[/tex]
moment of inertia I = moment of inetia of rod + moment of inetia of Ball
I (rod) = [tex]\frac{m . L^2}{3}[/tex] = [tex]\frac{.234^2 \times1.20 }{3}[/tex] =0.0657
I ball = (⅖ )MR^2 + M (R+L)^2
=[tex]\frac{2}{3} \times 2 \times 0.05^2+2(0.05+0.234)^2[/tex]
=0.0033+0.1613 =0.1646
I = 0.1646 + 0.0657 =0.230 kg·m²
[tex]\frac{1}{2} \times 0.230\times \omega^2[/tex] =7.868
[tex]\omega^{2}[/tex] = 7.868* 2/.230 =68.41
Angular velocity [tex]\omega =\sqrt{68.4}[/tex]
= 8.27 rad per sec
The linear speed, v = ω × r
=8.27*(0.05+.0234) =2.35 m/s
The speed of the ball falling freely from a height of 28.4 cm is given as :
[tex]V^2 = 2gh[/tex]
= 2*9.8*.284= 5.57
v=2.36
The linear speed following the rotation of the combination is approximately 0.01 m/s faster than the speed of the ball in free fall.
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What are scientific models?.
A physical, mathematical, and/or mental representation of a concept, event, or process system is referred to as a scientific model. Scientists try to discover and understand patterns in our environment by applying scientific knowledge to create explanations that allow the patterns to be predicted.
Which three scientific theories are there?Among these are visual models, mathematical models, and computer models. All three types of models may be used to any topic of study.
Scientific models are used to describe and predict the behavior of real things or systems in a variety of scientific fields ranging from physics and chemistry to ecology and the Earth sciences.
The experiment is the most effective research method because it allows the researcher to change and control the variables.
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to compress the spring an additional 0.16 m , does it take 180 j , more than 180 j , or less than 180 j ? to compress the spring an additional 0.16 , does it take 180 , more than 180 , or less than 180 ? 180 j more than 180 j less than 180 j previous answers correct part c verify your answer with a calculation.
Work done directly proportional to square of length compressed.
How to verify the formula?Given that the work done W = 180 J
length of compression is d = 0.18 m
The work done by the spring force is
W =(1/2)kd2
k = 2W /d2
=11111.11 N/m
If the length of compression is (0.18 m + 0.18 m)
then work done
W = (1/2)k(0.36 m)²
= 720 J
= 180 J + 540J
so it is greater than 180J
This is possible because of Work done directly proportional to square of length compressed
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The following figures show several stars found in the disk and halo of the Milky Way Galaxy. Rank the stars based on their current age, from oldest to youngest.
hot, blue main- sequence star in disk
red giant in globular cluster M13
red giant main- sequence star in glubular cluster M13
the sun
Red giant in globular cluster M13 & red main- sequence star in globular cluster M13
the sun
hot, blue main- sequence star in disk
The aforementioned Red Giant is the oldest star; the Sun, our own star and largest, is the middle star; and the star on a disc, which is the youngest star, is the last star.
This is how the stars are ranked according to their present ages. In a late stage of stellar evolution, a red giant is a bright giant and oldest star with a low or intermediate mass (about 0.3 to 8 solar masses (M)). Oldest star radius is vast and the surface temperature is roughly 5,000 K (4,700 °C; 8,500 °F) or lower due to the inflated and fragile nature of the outer atmosphere. Is known as red giant.
A hot, incandescent ball of hydrogen and helium at the Centre of our solar system, our Sun is a 4.5 billion year old star. Around 93 million miles separate Earth from the Sun (150 million kilometers).
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how does the solar radiation that arrives at the equator is redistributed around the earth through atmospheric circulation.
23 percent of the sun's energy is directly absorbed by clouds, aerosols, water vapour, and ozone. 25 and 5 percent of the solar radiation that enters the atmosphere from the surface are transferred via evaporation.
How is solar energy transferred?Distributed solar power often connects to the regional utility distribution system and can be installed on rooftops or on the ground. The clients of distributed solar are impacted by a wide range of federal, state, and municipal legislation.
Is solar energy distributed fairly?You learned in the last module that the tilt, rotation, and revolution of the Earth prevent solar radiation from reaching all part of the planet evenly.
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FILL IN THE BLANK. The earth is rotating on its axis. It will continue to rotate unless acted upon by an outside force. This is an example of Newton's _____.
The earth is rotating on its axis. It will continue to rotate unless acted upon by an outside force is an example of Newton's first law of motion.
An object at relaxation stays at rest, and an object in motion remains in motion at steady velocity and in a direct line unless acted on by way of an unbalanced pressure. There are clauses or elements to this statement - one which predicts the conduct of stationary gadgets and the opposite that predicts the behavior of transferring gadgets.
There may be a crucial circumstance that should be met so as for the first law to be applicable to any given motion. The circumstance is described by using the phrase "... except acted upon by using an unbalanced pressure." because the long as the forces are not unbalanced - this is, so long as the forces are balanced - the primary law of motion applies.
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parallel light rays with a wavelength of 623 nm fall on a single slit. on a screen 3.30 m away, the distance between the first dark fringes on either side of the central maximum is 4.80 mm .
The width of the slit will be " 1.27mm".
The single-slit diffraction experiment allows us to examine the phenomena of light bending, or diffraction, which enables coherent light from a source to interfere with itself and generate the diffraction pattern, a recognizable pattern on the screen.
The given values are:
Wavelength = 623 × 10⁻⁹m
Length, L = 3.30 m
we know that,
y/l = m(wavelength)/a
2 × 10⁻³ = 1 (623 × 10⁻⁹)
3.3 a
On Cross multiplication, we get,
a = 623 × 10⁻⁹ × 3.3
2 × 10⁻³
a = 0.001027m = 1.27mm
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A balloon filled with 2.00 L of helium initially at 1.75 atm of pressure rises into the atmosphere. When the surrounding pressure reaches 360 mmHg, the balloon will burst. If 1 atm = 760 mmHg, what volume will the balloon occupy in the instant before it bursts?
Volume of the balloon occupy in the instant before it bursts is 7.39 litres and can be find out by boyle's law.
Boyle’s law:
This law gives the relationship between initial and final pressure and volumes for an ideal gas.
Initial condition
Let the volume of the balloon is V1=2.00 L
And, the initial pressure is P1=1.75 atm
Final condition
Let the volume of balloon before it bursts is V2
final pressure is P2=360 mmHg
=360/760 atm
=0.7368 atm
(1atm=760mmHg)
Now, according to boyle’s law
P1V1=P2V2
V2=P1V1/P2
V2=1.75*2.00/0.47368 L
V2=1.39L
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a ball rolls off a 1 meter high table with a velocity of 0.66 m/s. how far from the edge of the table will the ball land?
Answer:
s=ut+12at2. S=1m???
Explanation:
initial velocity in vertical direction, is 0m/s ... Hence distance along the floor from the table is 2×0.45=0.9m.
Determining Unknown Masses Using Your Value For The Spring Constant In Part 1 Determine The Masses Of The Two Unknown, Red And Blue Masses In The Simulation. Show Your Work And Measurements Taken For This Part. To Get A Good Average Result, At Least 3 Measurements Should Be Taken Of Each Mass. ? ? Red Mass Kg Blue Mass = .Kg Part 3: Determining AnMass added (g) Weight (N) Extension (mm)100g 0.98 17050 0.49 90120 1.2 210153 1.5 260192 1.9 320246 2.4 410The spring constant from the previous part is 59.9 N/m
Mass= spring constant× elongation/acceleration due to gravity.
As part a asks how one can find out unknown masses if one has a spring of known spring constant then it can be done by initially measuring the original length of spring and then connecting to spring to the weight whose mass is to be calculated.
The spring will elongate due to the weight and we have to carefully measure elongated length of spring. Since this is a part where human error chances are very high so it is preffered for one to take multiple measurements to get as accurate value as possible.
Then the difference is to be taken between the elongated length of spring and the original length of spring. This difference is called elongation. And the formula to measure mass of the weight used will be,
Mass= spring constant× elongation/acceleration due to gravity.
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What is the gravitational force between two objects of mass?.
Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
f = Gmm/r²
Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r² where G is the gravitational constant and r is the distance between the bodies.
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You are advising a multimedia company on the best type of knowledge management system to help them archive digital video and sound clips. Which of the following will suit their needs?
enterprise content management system
digital asset management system
knowledge network system
VRML system
The correct option is b. digital asset management system
What is a digital asset management systems?Organizations can store, organize, find, retrieve, and share their entire catalog of digital content from a single location, or "single source of truth," with the aid of digital asset management (DAM) systems.
Why do we need a digital asset management system?Teams can manage all files and keep track of all tasks on a single platform thanks to a DAM system. As a result, there is no longer a need for numerous subscription-based, one-use products, and team members won't waste time switching between various tools. Platforms for managing digital assets, also referred to as "DAMs," are extremely useful because they make it simpler to arrange, access, and distribute marketing materials. DAMs are made to quickly and effectively organize, enrich, archive, and distribute digital files.
What is a enterprise content management system?The process of managing an organization's content lifecycle, including documents, spreadsheets, contracts, and scanned images, is known as enterprise content management (ECM), also known as document management or records management.
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The correct format of the question is:
You are advising a multimedia company on the best type of knowledge management system to help them archive digital video and sound clips. Which of the following will suit their needs?
a. enterprise content management system
b. digital asset management system
c. knowledge network system
d. VRML system
A mass M slides downward along a rough plane surface inclined at angle Θ to the horizontal. Initially the mass has a speed Vo before it slides a distance L down the incline. The coefficient of kinetic friction between the mass and the incline is μ The power associated with the work done by the frictional force WI is positive The power associated with the work done by the gravitation force is negative The power associated with the work done by the normal force is zero
The coefficient of kinetic friction between the mass and the incline is μ is 0.89
The formula for calculating force owing to friction isμ = F/N.
Normal force (N) at an incline is N= mgcosФ, where =32.51
P=F×x is the power corresponding to work done by friction.
The item "spent its energy" and the variable x is displacement.
P= mghcosФ, where h is the height, is the power unit for gravitational force work.
As shown in the illustration, the decrease shapes a triangle with a horizontal plane.
To calculate the frictional force:
MghcosФ = F×x MghcosФ
Changing the force: mghcosФ/x= mgcosФ
μ= h/x
Using trigonometry relations to calculate h
sin(32.51) = h/1
μ = Sin (32.51)/1
μ= 0.89
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suppose a large solar flare and coronal mass ejection are observed using a solar optical telescope on earth. how long after seeing the flare will the strongest radio disturbances be detected on earth?
Solar activity associated with Space Weather can be divided into four main components: solar flares, coronal mass ejections, high-speed solar wind, and solar energetic particles.
Does all solar activity impact Earth?Solar flares impact Earth only when they occur on the side of the sun facing Earth. Because flares are made of photons, they travel out directly from the flare site, so if we can see the flare, we can be impacted by it.Coronal mass ejections, also called CMEs, are large clouds of plasma and magnetic field that erupt from the sun. These clouds can erupt in any direction, and then continue on in that direction, plowing right through the solar wind. Only when the cloud is aimed at Earth will the CME hit Earth and therefore cause impacts.High-speed solar wind streams come from areas on the sun known as coronal holes. These holes can form anywhere on the sun and usually, only when they are closer to the solar equator, do the winds they produce impact Earth.Solar energetic particles are high-energy charged particles, primarily thought to be released by shocks formed at the front of coronal mass ejections and solar flares. When a CME cloud plows through the solar wind, high velocity solar energetic particles can be produced and because they are charged, they must follow the magnetic field lines that pervade the space between the Sun and the Earth. Therefore, only the charged particles that follow magnetic field lines that intersect the Earth will result in impacts.To learn more about Coronal mass ejection refer to:
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