The tension in the rope that has a box of 50 kg tied to it is 540 N.
What is tension?
Tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object.
To calculate the tension in the rope, we use the formula below.
Formula:
T = m(a+g)..................... Equation 1Where:
T = Tension of the ropem = Mass of the boxa = Accelerationg = Acceleration due to gravityFrom the question,
Given:
m = 50 kga = 1 m/s²g = 9.8 m/s²Substitute these values into equation 1
T = 50(9.8+1)T = 50(10.8)Hence the tension is 540 N.
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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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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!
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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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.
If you have any additional questions or need further assistance, please let me know.
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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stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants t or f
Without halting, while getting cool at about constant brightness, the statement goes.
What is the name of the sun?Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.
What really is sun in living?It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.
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The complete question is-
Stars with more than 15 times the mass of our Sun usually evolve from the main sequence to red giants.
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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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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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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HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
Explanation:
Refer the explanation in the picture
What is the coefficient of friction?
The measure of the amount of friction existing between two surfaces is known as the coefficient of friction.
When you find a coefficient of friction, you’re calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.
The power of this friction force depends on the materials that are pressing against one another. For instance, a steel bar will slide much more easily on a sheet of ice than on a slab of concrete. In these examples, the steel-on-ice combination has a much lower coefficient of friction.
Friction can wreck a piping system if it is unchecked. Reducing a pipe’s coefficient of friction is an important way to preserve metal.
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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
please help me Collage and Career prepertation
a bullet of mass m1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. the initial speed of the bullet is vi . consider two cases, a completely inelastic one and an elastic one,where the bullet bounces off the block.
The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.
An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.
initial kinetic energy = final kinetic energy(1/2)*m*u² = (1/2)*m*v²mass of the bullet, = m₁
mass of the block, = m₂
initial velocity of the bullet, = u₁
initial velocity of the block, = u₂ = 0
final velocity of the block = v
When inelastic motion is considered:final velocity of the b can be calculated by the formula,
m₁u₁ + m₂u₂ = v ( m₁ + m₂)
v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)
According to the equation of motion,
v = u + at
u = o
v = at ( a=g )
t = v/g
t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}
When elastic motion is considered:final velocity will be given by ,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Since u₂ = 0
m₁u₁ = m₁v₁ + m₂v₂
the block undergoes unidirectional motion,
so u₁ + (-v₁) = u₂ + v₂
v₁ = u₁ - v₂
therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂
v₂ = 2m₁u₁ / ( m₁ + m₂)
According to the equation of motion,
v = u + at
u = o
v = at ( a=g ) ( v=v₂) ( t=t₂)
t₂ = v₂/g
t₂ = 2m₁u₁ / g( m₁ + m₂)
Ratio of t₁ and t₂ is ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)
t₁ : t₂ = 1 : 2.
The question is incomplete, the complete question is:
A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time
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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)
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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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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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
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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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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PLEASE HELP
What was the hiker's average speed for the entire hike?
0.10 km/h
5 km/h
7.1 km/h
10 km/h
The average speed of the hiker for the entire hike is 10 km/hr. Average speed indicates the average speed during the complete course of a particular journey.
What is average speed ?By dividing the total distance traveled by the total amount of time it took to traverse that distance, one can get the average speed of an object. The rate at which an object's position changes in any direction is known as sped. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The average speed = Total distance covered / Total time taken
Total distance = 5 + 15 + 5 + 10 = 35 km
Total time = 30 + 90 + 30 + 60 = 210 mins = 3.5 hrs
According to the diagram provided, the average speed will be:
= 35 / 3.5
= 10 km/h.
Hence, the average speed is 10 km/h.
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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 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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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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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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A ship’s wheel is rotated . Its radius is 22 cm. How far would a point on the wheel’s edge move in this rotation?
The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is 138.16 cm.
What is rotation?The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.
Given:
The radius of the wheel, r = 22 cm,
The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.
Calculate the circumference of the circle by the formula given below,
Circumference of circle = [tex]2\pi \ r[/tex]
Substitute the values,
C = 2 × 3.14 × 22
C = 138.16 cm
Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is 138.16 cm.
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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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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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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.
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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