Answer:
47 kJoules (kJ)
Explanation:
Potential enegy on Earth is given by the relationship:
P.E. = mgh, where m is mass, g is the acceleration due to Earth's gravity, and h is height. Since we are given metric values, we will look for an answer that is consistent with Joules, the metric measure of energy. 1 Joule is defined as 1 kg*m^2/s^2, so we wnat units of kg, m, and sec.
We are given:
m = 95kg
h = 50 meters
Earth's gravity, g is 9.8 m/s^2
Enter the data:
P.E. = mgh
P.E. = (95kg)(9.8m/s^2)(50m)
P.E. = 46550 kg*m^2/s^2 or 46550 Joules(J)
Since we only have 2 sig figs, and since 1kJ =- 1000J
We can state the potential energy is 47kJ.
Spiderman has 47kJ of potential energy for the start of any dive back to Earth. [He needed that same amount of energy to reach that height, but we don't know from where it came. A jump, helicopter, beamed up by Scotty, or tossed up by Doctor Octopus.]
if the plane is flying horizontally and suddenly pulls upward, in which direction does the nose of the plane tend to move?
If the plane is flying horizontally and suddenly pulls upward, the nose of the plane tends to move upwards as the tail moves downwards.
A plane (formally an airplane) is a fixed-wing aircraft that is propelled forward by the thrust of a jet engine, propeller, or rocket engine.
All flight controls use the same basic lift principles as wings. When the pilot moves the controls, they produce lift of nose either up or down.
When the pilot pulls on the control column, the elevator moves up. This creates a wing-like curve on the surface that pulls the tail down. By moving the tail down, the nose of the aircraft rises.
When the pilot pushes forward on the controls, the elevator points down. The opposite happens and there is a lift that pulls the tail up. Pulling the tail up causes the nose of the plane to drop down.
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the molecular shape of a covalent species is determined not only by the number of electron groups that join the atoms, but by the number of electron groups as well, since these electrons also occupy space. t or f
A covalent species' molecular structure is influenced by both the number of shared and unshared electron groups that link the atoms together because these electrons take up space as well.
The connection is that the quantity of valence electrons influences which other atoms an atom can form a bond with.A chemical bond involving the exchange of electron pairs between atoms is referred to as a covalent bond. The electron pairs are known as bonding pairs, it should be highlighted.The electrons in the atom's outermost shell are known as the valence electrons. The connection is that the quantity of valence electrons influences which other atoms an atom can form a bond with.
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the time constant of an rc circuit is 8.0 s. how much time t is required for the capacitor (uncharged initially) to gain one-half of its full equilibrium charge?
Time t is required for the capacitor to gain one-half of its full equilibrium charge is 5.54 sec.
What is RC circuit?An electrical circuit consisting of passive components like resistors and capacitors, driven by current source or the voltage source is called resistor-capacitor circuit. The capacitor stores energy and resistor that is connected to the circuit controls the rate of charging or discharging.
Given, τ is 8 and q is charge
As we know, q= qo (1−e ^−t/τ )
1/2= 1- e^-t/8
0.5= e^-t/8
t/8 = -ln 0.5
t= 5.54 sec
Time t is required for the capacitor to gain one-half of its full equilibrium charge is 5.54 sec.
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Explanation:
Refer the explanation in the picture
What distance will a care cover while uniformly accelerating from 12m/s to26m/s in 14 seconds?
266 m distance will be covered by a car uniformly accelerating from 12m/s to 26m/s in 14 seconds.
Uniform acceleration: If a body is travelling by increasing its velocity in equal intervals of time then that body is said to be in uniform acceleration.
s=ut+1/2 at² where as s= distance , u = initial velocity, t= time
to calculate the uniform acceleration a=[tex]\frac{v-u}{t}[/tex] here v= final velocity u= initial velocity.
we have v=26ms and u=12m/s
a=[tex]\frac{26-12}{14}[/tex] = 1 a=m/s².
now substitute a =1 in formula s=ut+1/2 at²
we get s=12(14)+1/2(1)(14)²= 266m
Hence the distance covered by the car which is uniformly accelerating from 12m/s to 26m/s in 14 seconds is 266 m.
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please help me Collage and Career prepertation
The body is lowered to slide from the top of a smooth steep plane inclined at 45°. How long will it take the body to go down the plane of length 2.82m?
Answer:
12tfr
Explanation:
as per as calculations
ax = 3.0 m/s2 , ay = -4.5 m/s2 . Find the vector's magnitude and direction
The vector's magnitude is 5.4m/s²and direction is 56.30°.
Is a vector directional and has a magnitude?We will talk about vectors and scalars in this section. Quantities called vectors have both a magnitude and a direction. The indication of a vehicle's motion serves as a practical example of a vector.
Given,
ax = 3.0 m/s², ay = -4.5 m/s²
a = [tex]\sqrt{a^{2} _{x} + a^{2} _{y} }[/tex]
a = [tex]\sqrt{3^{2} +-4.5^{2} }[/tex]
a = [tex]\sqrt{9+20.25}[/tex]
a = [tex]\sqrt{29.25}[/tex]
a = 5.4m/s².
A vector's direction can be established by
α = tan⁻¹ y/x
α = tan⁻¹-4.5 / 3.0
α = tan⁻¹(1.5)
α = 56.30°.
The angle that the vector makes with the horizontal axis, or the X-axis, determines the vector's direction. By counterclockwise rotating the vector's angle at its tail toward the east, one can determine the vector's direction.
The vector's direction is therefore 23.375° away from the X-axis, i.e., the vector Ax = 26 m/s², Ay = 10 m/s² points in the direction of the North-East.
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2. How much force is needed to accelerate a truck with a mass of 2,200 kg at
an acceleration of 3.8 m/s²?
I
Answer:
8360N
Explanation:
F = ma
= 2200kg × 3.8 m/s²
= 8360 N
In figure 1 airbag inflation rates are represented by the
The typical air bags from 1997 and 1998 automobiles are compared in Figure 1. The values depicted are the average of the information provided by 11 separate cars.
What do we mean by inflation?Inflation is a unit of measurement used to determine how much a group of goods and services have increased in cost over a given period of time, usually a year. Possibly one of the most well-known economics terms. Because of inflation, nations have gone through protracted periods of instability. In the field of economics, inflation refers to an increase in the overall cost of goods and services in a country.
What is the causes of inflation?The majority of economists concur that chronic excessive expansion in the money supply is the primary driver of high inflation and hyperinflation, both of which have profoundly disruptive consequences on the actual economy. John Taylor, a Stanford economist, claims that when the Federal Reserve sets an interest rate that is too low or when the expansion of the money supply is too rapid, inflation rises. As of right now, it is moving too quickly.
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what can you conclude about the time it takes two balls of different mass and different radius to roll down an incline?
Therefore, the time required for an object t roll down an inclination plane will shorten as the weight (body) of the object increases.
What is the best way to define mass?A measurement of how much matter is present in or makes up a physical body. In physical laws, an object's mass is crucial to Newton's laws because it influences the force needed to accelerate it and, consequently, how much inertia it has.
How are masses determined?Digital scientific weights and beams balances, like a triple beam balance, are examples of several sorts of balances. The metric system uses both grams or kilograms as the basic unit of measurement for mass.
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Calculate the half-life of a radioactive substance whose disintegration constant
happens to be 0.003 s-¹
231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s⁻¹.
Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.
Half-Life Formula :t₁/₂ = 0.693/λ
Where as t1/2 is Half-Life of a radioactive substance
λ= decay constant
We have λ=0.003s⁻¹ substitute in the formula
t1/2=[tex]\frac{0.693}{0.003}[/tex] = 231.
Hence 231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s¹.
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in a region of space where gravitational forces can be neglected, a sphere is accelerated by a uniform light beam of intensity 8.0 mw/m2. the sphere is totally absorbing and has a radius of 1.0 microns and a uniform density of 4500.0 kg/m3. what is the magnitude of the sphere's acceleration (in m/s2) due to the light?
The answer for the magnitude of the sphere's acceleration (in m/s²) due to the light is 4.44×10⁻⁹ m/s²
Newton's second law must be applied in order to determine the acceleration.
F = m×a and a = F/m.
We use the defined pressure and the radiation pressure for an absorbent surface to determine the force.
P=I/c absorbent surface
P = F / A
F / A = I / c
F = I A / c
A circle's total area is
A = π×r²
We swap out
F = I π r² / c
Let's compute
F = 8.0×10⁻³ π (1.0×10⁻⁶)²/3×10⁸
F = 8.375×10⁻²³ N
To measure Density
ρ = m / V
m = ρ V
m = ρ (4/3 π r³)
m = 4500 (4/3 π (1×10⁻⁶)³)
m = 1,885×10⁻¹⁴ kg
Now let's determine the acceleration.
a = 8.375×10⁻²³ / 1.885×10⁻¹⁴
a = 4.44×10⁻⁹ m/s² absorbent surface
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In music, two notes are said to be an octave apart whenone note is exactly twice the frequency of the other. Suppose youhave a guitar string playing frequency fo.a) To increase the frequency by 4 octave(s), to 16fo, by what factor would you have toincrease the tension?Tv/To= ?b) To increase the frequency by 4 octave(s), to 16 fo, by what factor would you have todecrease the length?
To increase the frequency by 4 octave(s), to 16fo, by a factor of 16 we have to increase the tension. To increase the frequency by 4 octave(s), to 16fo, by a factor of 1/16 we have to decrease the length.
Is the frequency doubled at the octave?An octave is a logarithmic unit for ratios between frequencies in electronics, with one octave equal to a doubling of frequency. For instance, 80 Hz is the frequency one octave above 40 Hz. The phrase comes from the Western musical scale, in which an octave represents a frequency doubling.
Finding octaves between two frequencies: how do you do it?You can get the number of octaves between two frequencies, such as the upper and lower bounds of a band of noise, by first determining their ratio, then calculating the log of it, and then dividing that by the log of 2.
What is an octave's straightforward definition?A musical interval is called an octave. Both in terms of music and physics, an octave is defined as An octave is the distance in pitch between a note, such as C#, and the note that follows it with the same name but is either higher or lower.
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1. The figure below shows a partial profile of a roller-coaster. The coaster begins from rest at position A at height ha
30.0 m and hb 10.0 m.
a) Determine the speed of the coaster at position B. Friction and air resistance are negligible.
b) If the efficiency of the coaster is 55%, what would be the value of the coaster speed at point B?
The speed of the coaster at position B is 12mvB2. The value of the coaster speed at point B 3.016 m.
What is speed?Speed is the rate in which something is traveling.
The speed of the coaster at position B can be determined using the work-energy theorem. According to the theorem, the work done by the gravitational force is equal to the change in kinetic energy. Therefore, the kinetic energy of the roller coaster at point B is equal to the potential energy at point A.
The potential energy at point A is equal to mghA, where m is the mass of the roller coaster, g is the acceleration due to gravity, and hA is the height of point A. Similarly, the kinetic energy at point B is equal to 12mvB2, where vB is the speed of the roller coaster at point B.
Therefore, the speed of the roller coaster at point B can be calculated as follows:
vB = √(2ghA/m) = √(2*9.8*30/m) = 5.48 m/s.
b) The efficiency of the roller coaster is 55%, so the actual speed of the roller coaster at point B would be 55% of the calculated speed. Therefore, the actual speed of the roller coaster at point B would be 5.48 * 0.55 = 3.016 m
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planet 1 has mass 3m and radius r, while planet 2 has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is placed halfway between their centers at point o. it is released from rest. ignore any motion of the planets. Calculate the magnitude of the acceleratiom of the rock (in m/s2) the moment it is released, using M-2x10 kg and R= 25 » 106km 1-25 10 -2.5E 7 X Attempts Real
The acceleration of the rock half-way between two planets is 1.086 m/s².
What is the acceleration of rock?The parameters provided;
3M radius of planet A.
R mass of planet A.
4M radius of planet B.
2R distance between the two planets,
r = 8R
Newton's universal gravitational law is used to calculate the gravitational force half-way (4R) between the two planets;
Fg = GmAmB/r²\
Fg = G(2M x 4M)/(4R)²
Fg = 12GM²/16R²
Fg = (12 x 6.67 x 10⁻¹¹ x (7.3 x 10²³)²) / 16(5.8 x 10⁶)
Fg = 7.925 x 10²³N
The magnitude of the rock's acceleration is calculated as follows using Newton's second law of motion:
F = ma
a = F/m
a = 7.925 x 10²³/7.3 x 10²³
a = 1.086m/s²
As a result, the rock's acceleration is 1.086 m/s².
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A coworker did not clean his work area before going home this could cause an accident so you quickly clean up the next day you see the cowoker. what would you be most and least likey to do?
Inform him that he should be more cautious because his work environment could have resulted in an accident. Inform him that you have cleaned up and that he owes you a favour.
What is a work environment ?The setting, social features, and physical conditions in which you perform your job are referred to as your work environment. These factors can have an impact on employee happiness, workplace relationships, collaboration, efficiency, and health.
A workplace culture is the set of shared values, belief systems, attitudes, and assumptions that employees share. Individual upbringing, as well as social and cultural context, influence this.
Taking care of the workplace environment boosts productivity, aids in talent retention, and, most importantly, is beneficial to the company's overall mental health. No job is perfect, not even those with an amazing office, a high salary, or entirely vocational tasks.
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In the example with maya and her bike, which of newton's three laws of motion is best illustrated? why?.
Newton's first law of motion, often known as the law of inertia, is the law that most exemplifies this.
Unless it is operated upon by an external force, the law stipulates that every item will remain in a state of rest or uniform motion. Due to hitting a curb, the bike comes to a stop. A body's resistance to being in its condition of rest or uniform motion is known as inertia. Due to its inertia, Maya is also propelled into the air.Newton's second law of motion serves as an example. Force is directly proportional to mass and acceleration, to sum up this law. The second box accelerates more quickly because its mass is lower than that of the first box.Newton's third rule of motion serves as the clearest example of this. According to this concept, there is an equal and opposite reaction to every action. Air is pushed downward by the bird's wind as it flies. The bird can fly because air pushes upward on it as it utilizes its wind to push air downward. Air moves upward and downward in equal but opposite directions.To know more about laws of motion
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at the end of chapter 1, nick sees gatsby near the water in front of his property. gatsby appears to stretch his arms toward a light on the end of the dock across the water. what color is the light?
Gatsby appears to stretch his arms toward a light on the end of the dock across the water. the color of the light is green.
In the first chapter of the book, Nick first meets Jay Gatsby. Gatsby is remaining in his gallery holding his arms out to approval across the sound. It turns out that this green light is the one on the dock of Daisy Buchanan's house.
The green light that Gatsby watches across the water, which simultaneously represents Gatsby's love for Daisy, money, and the American Dream, is one of The Great Gatsby's most memorable images. Before Nick has even met Gatsby, we see the green light for the first time at the end of Chapter 1, and we immediately recognize it as a mysterious and potent object with significant symbolic significance for Gatsby. Gatsby bought his house so that he could see the green light every night because it hangs at the end of Daisy's dock.
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Why is Coulomb's proportionality constant so much larger than Newton's?
Why is Coulomb's proportionality constant so much larger than Newton's?
Answer:Coulomb's proportionality constant is much larger than Newton's because it represents the force between two charges instead of the force between two masses. Since electric forces are much stronger than gravitational forces, Coulomb's constant is significantly larger than Newton's.
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how far the first bright diffraction fringe is from the strong central maximum if the screen is 13.0 m away.
The first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.
Calculate the wavelength of light.
The wavelength can be calculated using the formula, λ = d/n, where d is the distance between the slits (d = 0.050 mm) and n is the order of the diffraction fringe (n = 1).
Therefore, λ = 0.050 mm/1 = 0.050 mm.
Calculate the distance of the first bright diffraction fringe.
The distance of the first bright diffraction fringe can be calculated using the formula, d = λD/d, where λ is the wavelength of light, D is the distance between the screen and the slits (D = 13.0 m) and d is the distance between the slits (d = 0.050 mm).
Therefore, d = (0.050 mm)(13.0 m)/0.050 mm = 13.0 m.
Therefore, the first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.
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which of the following cell components are are most involved in determing an organisms traits?
The :Gene, chromosomes, and nucleus is the cell components are are most involved in determining an organisms traits.
What is meant by organism traits?As it relates to genetics, a trait is a unique quality about a person. Genes, environmental influences, or a combination of both can influence traits. Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure).
Your traits, which are features or characteristics that you inherit from your parents, are determined by the information carried by your genes (say: trates). In the human body, each cell has between 25,000 and 35,000 genes.
A trait is a unique attribute, propensity, or characteristic that someone, something, or both have. In those early months, many of our personality traits are formed. Humans are creative beings. Synonyms: trait, quality, feature, attribute additional words for characteristic
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a guitar string is fixed at both ends. if you tighten it to increase its tension
a guitar string is fixed at both ends. if you tighten it to increase its tension the frequencies of its vibrational modes will increase but its wavelengths will not be affected.
Stretching a string between two points, as in a stringed instrument, will cause tension on the string. Tension is the degree of stretching that is applied to the string. As the string is tightened, the frequency rises; as the string is loosened, the frequency falls. Strings are tightened or loosened by string musicians to change the pitches of their instruments.
We are aware that a tight string's frequency is determined by
v=√(T/μ)
where c is the frequency of sound wave T is tension and μ is mass per unit length
and velocity is provided by
v=νλ
As increases v also increase ν but wavelength remain same because ends of string are fixed.
your question is incomplete but most probably the full question was
Guitar string is fixed at both ends. If you tighten it to increase its tension (explain your answer):
a) the frequencies of its vibrational modes will increase but its wavelengths will not be affected.
b) both the frequency and the wavelength increase.
c) the wavelength increases but the frequency is not affected.
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a mixture can be classified as a solution, a suspenstion, or a colliod based on the size of its............particles
Answer:
large
Explanation:
A mixture can be classified as a solution, a suspension, or a colloid based on the size of its large particles.
Hope it helps!
7. what is the maximum angle of climb (steady velocity climb) for a turbojet powered aircraft with an (l/d)max equal to 10.5 and a gross weight of 8000 lb. if it is producing a thrust of 2000 lb.?
The maximum angle of climb for a turbojet powered aircraft is 8.97°.
Let us consider the velocity is steady.
T is thrust, W is weight, L for lift force, D for drag and θ is angle of climb
From the given information, we can write the below equations,
T = D + W sinθ -----(1)
L = W cosθ -----(2)
Given that, L/D = 10.5
D = L/10.5 -----(3)
Placing (3) in (1), we have
T = L/10.5 + W sinθ
T = (W cosθ)/10.5 + W sinθ
cosθ + 10.5 sinθ = T/W * 10.5
cosθ + 10.5 sinθ = (2000/8000) * 10.5
cosθ + 10.5 sinθ = 2.625
Solving the above equation, we get θ = 8.97°
Thus, the maximum angle of climb is 8.97°.
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a 45.5-g super ball traveling at 27.5 m/s bounces off a brick wall and rebounds at 21.0 m/s. a high-speed camera records this event. if the ball is in contact with the wall for 3.30 ms, what is the magnitude of the average acceleration of the ball during this time interval?
Throughout this period of time, the ball's average acceleration was 1.46*104m/s2.
What is an explain acceleration?Acceleration refers to the amount of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion within a single circle speeds despite the fact that velocity is constant since the variable is always moving.
What three forms of acceleration are there?Speeding bullet, non-uniform energy density, and uniform acceleration are the three primary categories of rapid motion. Uniform acceleration describes a motion in which a object moves in some kind of a straight path while accelerating gradually over time.
Briefing:Vi = 27.5m/s
Vf = 21m/s
Vf = Vi + at
a= Δt/Δv
a= 21m/s-(-27.5m/s)/3.30*10⁻³
a = 1.46*10⁴m/s²
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The table shows data about lightning and thunder.
Lightning and Thunder Data
Occurrence Lightning
Observed Thunder Heard Distance to
Lightning (m)
A 8:00:00 p.m. 8:00:01 p.m. 330
B 5:30:00 p.m. 5:30:04 p.m. 1,320
C 6:45:00 p.m. 6:45:06 p.m. 1,980
D 7:20:00 p.m. 7:21:00 p.m. 19,800
According to the table, how fast does the sound of thunder travel?
Answer:
Explanation:
If the question is set up correctly here, we can solve this correctly.
Lightning and Thunder Data
Occurrence Lightning
Observed Thunder Heard Distance to ---- We need this
Lightning (m)
A 8:00:00 p.m. 8:00:01 p.m. 330
B 5:30:00 p.m. 5:30:04 p.m. 1,320
C 6:45:00 p.m. 6:45:06 p.m. 1,980 ---- We need this
D 7:20:00 p.m. 7:21:00 p.m. 19,800
6:45:06 - 6:45:00 = 6
So 6 seconds. We also get 1980. So we do 1980/6, which is 330(m)?
If the unit is meters, then the sound of thunder travels at 330(m)
A car travelling at 5.0 m/s starts to speed up. After 3.0 s its velocity has increased to 11 m/s. a) What is its acceleration? (Assume it to be uniform.) b) What distance does it travel while speeding up?
initially, the car is traveling at 5.0 m/s.
so, we know acceleration for changing velocity is :
a = (v-v[tex]_{o}[/tex])/t ..........(i)
where v is the final velocity
v[tex]_{o}[/tex] is the initial velocity
t is the time taken to change velocity
Now, as per the question :
initial velocity, v[tex]_{o}[/tex]=5.0 m/s
final velocity, v =11 m/s
time taken, t = 3 s
putting the values in equation (i),
a = ( 11-5 )/3
a = 2 m/s²
Therefore, a, after 3 s, is 2 m/s².
two parallel conducting plates are 15 cm apart, each with an area of 0.75 m2. the left one has a charge of -0.225 c placed on it, while the right has a charge off 0.225 c. what is the magnitude and direction of the electric field between the two?
A measurement of 5 meters is to the north. A vector quantity with the direction and magnitude of 5 meters north is 5 meters.
What do you meant by magnitude and direction?The object's speed is defined as the magnitude (or value) of the velocity. The direction that the object is travelling in is indicated by the velocity vector. Imagine an object travelling along the path the circle traces out. It would be better to draw the circle.
The vector, as we all know, is an object that possesses both magnitude and direction. An arrow stands in for a vector. How can the magnitude of a vector be determined.
The length of the arrow denotes the magnitude or strength of the vector, and the direction, or arrowhead, denotes the direction in which the vector is moving.
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if such a laser beam is projected onto a circular spot 1.8 mm in diameter, what is its intensity in w/m2?
The intensity is 0.294*103 W/[tex]m^{2}[/tex].
What does light intensity mean?The pace at which light disperses over a body of a specific region some way from a source is referred to as intensity. The intensity changes depending on the source's power and distance from it.
What is an example of intensity?Occasionally, the adjective "intensity" is associated with fury, fire, and violence. It is used to provide a description of a flame's or even a love affair's intensity. For instance, the bond between Bogart and Bergman in Casablanca was very strong.
Briefing:
Intensity I = energy/(area*time)
= power/area
=0.75*10-3 W/(π/4*1.8*1.810-6 m2)
= 0.294*103 W/[tex]m^{2}[/tex].
Therefore, the intensity is 0.294*103 W/[tex]m^{2}[/tex].
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