It serves as a shorthand for the collection of all natural numbers. Positive, non-zero whole numbers make up the natural numbers.
What does N look like as a number?Natural Numbers (N) are the whole numbers 1, 2, 3, 4, and so on. They are also known as positive integers, counting numbers, or natural numbers (W). The collection of natural numbers is indicated. The letter n is used to begin the word number. This is why the n symbol is used in mathematics.
What does N in a sum mean?The parameter n is referred to as the "index of summation." As you go from the first number to the last, replace the index of summation with consecutive integers to create the terms of a series expressed in sigma notation.
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What happens to the tension in the string if the Ping-Pong ball is replaced by a smaller spherical object of equal weight?
a. The tension does not change.
b. The tension increases.
c. The tension decreases.
The tension in the string increases if the ping-pong ball is replaced by a smaller spherical object of equal weight.
When two opposing forces pull on a rope, string, wire, the force transmitted through the object is known as tension. The energy is pulled equally on the bodies at the ends by the tension force, which is applied along the entire length of the wire. Each physical object that comes into contact with another applies force to that object.
Weight is the gravitational pull of the large second object, like the moon or the earth on a first object.
The concepts required to solve the given question is the tension in the string.
Let us write an expression for tension in terms of volume, density of the liquid, density of the solid. Then, compare the tension on the basis of density of matter. Finally, compare the tension on the basis of the weight of the spherical ball.
The expression for the tension in terms of volume, density of liquid and density of solid is as follows,
T = V * (Pl - Ps)
where, V is the volume
Pl is the density of liquid
Ps is the density of solid
The tension in the above equation is directly proportional to volume, density of liquid, density of solid. As the density of liquid increases, the tension increases. Thus, the tension in the string neither decreases nor remains same.
After adding salt to the liquid, the density of the liquid increases.
The tension will decrease as the volume displaced will decrease.
The weight of the spherical balls is same but the volume is decreased.
The density of the solid remains constant but the density of liquid decreases. Therefore, net tension in the string neither increases nor remains same.
Therefore, tension in the string increases in the string if ping-pong ball is replaced by a smaller object of equal weight.
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(a) calculate the rotational kinetic energy of earth on its axis. (b) what is the rotational kinetic energy of earth in its orbit around the sun?
The rotational kinetic energy of the earth on its axis is 2.08 x 10^29 Joules and the rotational kinetic energy of the earth in its orbit around the sun is 2.17 x 10^33 Joules.
(a) To calculate the rotational kinetic energy of Earth on its axis, we can use the formula:
KE = 0.5 * I * ω^2where KE is the rotational kinetic energy, I is the moment of inertia of the object, and ω is the angular velocity.
The moment of inertia of Earth can be calculated using the formula:
I = (2/5) * m * r^2where m is the mass of Earth and r is the radius of Earth.
Using these formulas, we can calculate the rotational kinetic energy of Earth as follows:
KE = 0.5 * [(2/5) * m * r^2] * (ω^2)
= 0.5 * [(2/5) * 5.97 x 10^24 kg * 6371 km^2] * (7.29 x 10^-5 rad/s)^2
= 2.08 x 10^29 Joules
(b) To calculate the rotational kinetic energy of Earth in its orbit around the sun, we can use the formula:
KE = 0.5 * m * v^2where KE is the rotational kinetic energy, m is the mass of Earth, and v is the velocity of Earth in its orbit around the sun.
The velocity of Earth in its orbit around the sun can be calculated using the formula:
v = √[(G * M) / r]where G is the gravitational constant, M is the mass of the sun, and r is the distance of Earth from the sun (also known as the semimajor axis of Earth's orbit).
Using these formulas, we can calculate the rotational kinetic energy of Earth in its orbit around the sun as follows:
KE = 0.5 * m * [√[(G * M) / r]]^2
= 0.5 * m * [(G * M) / r]
= 0.5 * 5.97 x 10^24 kg * [(6.67 x 10^-11 N * m^2 / kg^2) * (1.989 x 10^30
kg) / (1.496 x 10^11 m)]
= 2.17 x 10^33 Joules
Note that the rotational kinetic energy of Earth in its orbit around the sun is much greater than the rotational kinetic energy of Earth on its axis, due to the much larger velocity and mass involved in Earth's orbit around the sun.
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potassium can emit photoelectrons when struck by blue light, whereas tungsten requires ultraviolet radiation to emit photoelectrons. which statement is true?
It is true that no photoelectrons are released when ultraviolet radiation strikes a surface.
Which metal only emits electrons in response to UV light?It was discovered that certain metals, such as zinc, cadmium, magnesium, etc., only emitted electrons from their surfaces when exposed to ultraviolet light with a short wavelength. Lithium, sodium, potassium, caesium, and rubidium are examples of alkali metals that can be sensitive to visible light.
Why don't photoelectrons release?If the frequency of the light is less than a specific level, no photoelectrons are released. The threshold frequency is referred to as such. For many materials, the threshold frequency varies. Alkali metals, calcium, and barium lose their photoelectron content when exposed to visible light.
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1.The discontinuity effect is caused primarily by _________.Group of answer choicesnormative social influence and informational social influencefear and greedcoordination loss and reduced effortreduced evaluation apprehension and attitude polarizationdeindividuation and reduced evaluation apprehension2.Research has found that if you put people into two different groups, even if the basis is completely arbitrary (such as a coin flip), people will give preference (such as more money) to their own group over the other group. This is called ________ and it is one component of ________.Group of answer choicesthe illusory correlation; realistic group conflict theory.the minimal group paradigm; social identity theory.outgroup polarization; realistic group conflict theory.the illusory correlation; social identity theory.outgroup polarization; ethnocentrism3.
Jump, endless, detachable, endpoint, and mixed discontinuities can all be categorised. The existence of the limit is a characteristic of removable discontinuities.
Redefining the function is one way to "repair" removable discontinuities. Endpoint Discontinuities: There is only one one-sided limit. Mixed: None of the one-sided constraints exist, at least in part. Below is a graph of f (x), which demonstrates a function that discontinues when x = a. Mixed: None of the one-sided constraints exist, at least in part. Both one-sided limits are present in 1 Jump Discontinuities, although they have distinct values. Both one-sided limits are infinite, resulting in two infinite discontinuities. Three endpoint discontinuities: There is only one one-sided limit. 4 Mixed: None of the one-sided constraints exist, at least in part.
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which property of jupiter's moon europa makes it a more likely candidate to harbor extraterrestrial life? select one: a. satellite images show seasonal variations on its surface. b. satellites have detected oxygen in its atmosphere. c. hydrothermal activity provides energy to heat and melt an ocean of water beneath its surface. d. jupiter's powerful magnetic field generates electrical activity on its surface.
Therefore, even though Europa has a diameter that is only one-fourth that of Earth, her ocean may hold twice the amount of water as Earth's seas do.The immense and unfathomably depths ocean of Europa is regarded as the best area to look for life outside of Earth.
Why then is Europa the Galilean moon most likely to have life?As a result of the liquid water's close proximity to the silicate mantle, Europe is one of the finest options for habitability.The amount of radiation that strikes the moons from Jupiter is a crucial component in determining whether or not they are habitable.
What quality of Europa, a moon of Jupiter, makes it possibly habitable?Europa would need to contain the necessary chemical components for life's chemistry in order to be potentially habitable.These include the frequently occurring elements carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur, which are thought to have been present on Europa at the time it originated.
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Why are some genetic diseases common?
A certain genetic ailment might be more prevalent in the group if one of these common genes contains a disease-causing variant (also known as a mutation).
How widespread are genetic disorders?A genetically based ailment will affect roughly 6 out of every 10 individuals. From minor to extremely severe genetic disorders are possible. It is believed that a delicate balance between mutation, genetic drift, and natural selection is the main reason why diseases continue to affect human populations.
Why do some genetic features tend to be more prevalent?How many copies of that gene variant (or allele) are present in the population determines how frequent a trait is. Whether a trait is dominant or recessive has little to no bearing on this.
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What are 3 sources of carbon dioxide emissions?
These sources can be found primarily in three different contexts: industrial processes, natural gas processing, and fuel combustion activities.
Where do the majority of the carbon dioxide emissions come from?CO2, or carbon dioxideThe main source of CO2 is the burning of fossil fuels.Indirect human-induced effects on forestry as well as other land uses, such as deforestation, clearing land for agriculture, and soil deterioration, can indirectly release CO2.
What are the planet's two primary sources of carbon dioxide?There are two main sources of atmospheric carbon dioxide: natural processes and human activity.The majority of animals, who exhale in the form of a waste product, are natural sources of dioxide.
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What are 3 qualities of realism?
During the height of the development of that form, realism's emphasis on objectivity, detachment, and accurate observation, as well as its clear but restrained criticism of social norms and environments, and the humane understanding that underlay its moral judgments, all played a significant role in the development of the modern novel.
What constitutes realism as a whole?Realistic thinking centered on portraying everyday reality in its truest form. Realistic thinking is concerned with the present moment, with actual events and their verifiable results. Realism aims for a one-to-one correspondence between the topic and the depiction. It also goes by the name mimesis.
Which of these three types of realism are they?Three schools of realist thought exist: human nature realism, state-centric realism, and system-centric realism.
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Which one of the following bodies is in equilibrium?
Answer: (A)
Explanation:
Constant speed = 0 ΣF = equilibrium
Apple, cart, and satellite* have imbalanced force of gravity
*gravity is acting as a centripetal force
You push your physics book 1.50 M alone a horizontal tabletop with a horizontal push of 240 N while the opposing force of friction is 0.600 N. How much work does each of the following forces do on the book (a) your 2.40 N push, (b) the friction force (c) the normal force from the table, and (d) gravity? (e) what is the network done on the book?
a)Work performed by 2.4 N force: W = 3.6 J
b)work performed by o.6 N frictional force: W = -0.9 J
c) The normal force's work on the book, W = 0 J
d) Gravitational work on the book, W = 0 J
e) Work completed, W = 2.7 J
A force is an influence that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to define force is as a push or a pull. Two surfaces that come into contact and glide against one another produce frictional force. The part of a contact force that is perpendicular to the surface that an item encounters is known as the normal force.Gravity, which means "weight" in Latin, is a basic force that attracts all objects with mass or energy to one another.The explanation is shown in the accompanying picture.
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On a graph of galaxy colors and luminosities, spiral galaxies are usually found in the ____________.
On a graph of galaxy colors and luminosities, spiral galaxies are usually found in the blue cloud.
any of the star systems and interstellar materials that make up galaxys. Hundreds of billions of stars can be found in several of these massive assemblages.
From dim, hazy dwarf objects to magnificent spiral-shaped giants, nature has created a vastly diverse assortment of galaxies. Almost all galaxies seem to have formed shortly after the universe started, and they can be found everywhere throughout space, even in the deepest regions that are beyond the reach of even the most potent contemporary telescopes. Galaxies typically exist in groups called clusters, some of which are then combined into larger clusters with a diameter of hundreds of millions of light-years. (A light-year is a distance traveled by light during one year at a speed of 300,000 km/sec or 650,000,000 mph.)
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different between force and work
Answer:
What are your answer choices?
Explanation:
Work is like if you are a police officer you take down enemies. Force is like if you use a negatively charged balloon next to an uncharged piece of paper, they balloon would attract each other.
Hope this helps :D
According to newton's third law, what is the equal and opposite force to the downward force of gravity pulling on a man standing on the beach?.
According to newton's third law, what is the equal and opposite force to the downward force of gravity pulling on a man standing on the beach?
[tex]\fbox{The man pulling upward on earth}[/tex]
if an am radio station is emitting 10000 w in its 840-khz radio wave, how many photons is it emitting each second
The transmission will be seen as an electromagnetic wave. Radio antennas, like flashlights, emit lower energy photons that our eyes cannot see.
A cyclically alternating voltage causes electrons in the antenna's cables to jiggle back and forth. By the way, radio frequency photons have significantly less energy than visual photons. Yes, radio antennas can emit visible light, but most likely not in the way you expect. Through the process of thermal radiation, you can heat up a radio antenna until it glows and emits visible light if you apply enough energy to it. Radio antennas, like flashlights, emit lower energy photons that our eyes cannot see.
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How do you calculate the current measured by ammeter?
The resistance R divided by the potential difference V yields the current I. We simply need to determine the potential difference and resistance of the circuit in order to determine the current in this ammeter, which measures the current of the circuit.
How does an ammeter calculate current?The ammeter is linked to the circuit in series. Therefore, its reading will reflect the amount of current flowing through the circuit. Consequently, the ammeter's reading is 1A.
How do you figure out current?We can easily calculate current by dividing the total charge by the measurement period. I = Q t, where I stands for current, Q for charge, and t for time, is a formula for calculating current.
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Compared with the orbits of the short-period comets, the orbits of long-period comets
(a) tend to lie in the plane of the ecliptic
(b) look like short-period orbits, but are simply much larger
(c) are much less eccentric
(d) can come from all directions
Compared with the orbits of the short period comets, the orbits of long period comets can come from all directions.
Short period comets come from the kuiper belt. Comets of long period come from the ort cloud which is a cloud debris surrounding the sun at a distance of 1 light year.
Long period comets have orbital period more than 200 years. Their orbits are inclined in the ecliptic plane. They may be perturbed by a passing star. Their orbits are highly inclined because of spherical origin.
They can be seen in night sky with much brilliance. Their brilliance is because thy have not passed from inner solar system.
Short period comets have orbital period less than 200 years. Haily type comets are example of short period comets.
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What is this formula used to find V Πr²h?
The formula V = π r² h is used to find the volume of a cylinder.
The volume of a cylinder refers to the density of the cylinder which indicates the amount of material it can hold or how much amount of any material can be immersed in it. To calculate a cylinder's volume, the formula to be used is v = π r² h. In this formula:
V signifies the volume of the cylinderπ r² represents the area of the base of the cylinder, where r is the radiush is the height of the cylinderHence, the required formula for the volume of a cylinder is V = π r² h.
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An awkward moose slides along an icy surface with a velocity of 5.2 m/s to the left. The moose runs into a
owbank and gradually comes to a stop over 0.47 seconds. If the force the moose experienced was 62
Newtons, calculate the mass of the moose.
Answer:
m= 5.60kg
Explanation:
∑F = m*a
m = ∑F/a; a = Δv/Δt
m = ΣF/(Δv/Δt)
m = (62N)/((5.2m/s)/(0.47s))
m = 5.60kg
Michael’s mom is driving the soccer carpool. They leave the field at 7 pm, with an odometer reading of 78,753 km. Combined the minivan and players have a mass of 2900 kg. After all the players are dropped off, it is 7:56 pm and the odometer reads 78,802 km. What was the average velocity of the minivan while traveling?
Answer:
0.875 miles/minute
Explanation:
The formula for velocity if final position - initial position divided by final time - initial time. Here, the final position
of the van was 49 km away from house, and its initial was 0, because you didn't travel anywhere initially. The final time was 56 minutes because that was how long it took to get home, and the initial was 0, because you were 0 minutes into travel at the beginning.
what is the difference between momentum in explosion and collision by using formula
Answer:
An object being fired from a cannon is also a collision where momentum must be conserved
How do you know what the safe load is for your boat to carry?
The best way to know what the safe load is for the boat is to calculate the buoyancy of the boat.
According to the Archimedes' principle, when a body is some merged in a liquid partially or fully, an upward force is applied on the body by the fluid that is equal to the weight of the fluid displaced by the body.
This upward force is called buoyancy.
As long as the weight of the lord on the boat is equal to the buoyancy of the boat it can we considered a safe load limit for the boat.
The buoyancy of the boat can be calculated by using the volume of the boat the density of the liquid in which the boat is going to serve and the acceleration due to gravity.
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What is inverse variation examples?
The most common example of inverse variation is distance and speed. As the speed increases the distance decreases.
Unemployment and inflation have a well-known inverse relationship. When the value of one parameter rises while the value of the other decreases, the parameters, such as time and distance, are inversely connected. When x is not equal to zero and k is a nonzero real number constant, the nonlinear function known as inverse variation is described by the equation x y = k. If there is a nonzero constant k such that y = k x, then the variable y fluctuates directly as x. A link between two variables that can be mathematically described by an equation in which the product of the two variables equals a constant. The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a spherical function.
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a magnetic field of 0.080 t is in the y-direction. the velocity of wire segment s has a magnitude of 78 m>s and components of 18 m>s in the x-direction, 24 m>s in the y-direction, and 72 m>s in the z-direction. the segment has length 0.50 m and is parallel to the z-axis as it moves. (a) find the motional emf induced between the ends of the segment. (b) what would the motional emf be if the wire segment was parallel to the y-axis?
The wire segment was parallel to the y-axis E = 0.72 volt ;E = 0 volt are the answer.
What is segment?Segmentation is the process of dividing a large target market into smaller, more distinct groups of people who share similar characteristics. Segmentation is a key practice of modern marketing, as it allows businesses to identify and target their most valuable customer groups more effectively. By segmenting customers, marketers can better tailor their campaigns to their specific customer base and maximize their marketing investment. Segmentation also helps organizations identify and target the right audiences with the right message.
Given that – Length of segment = 0.50m
1. E = L * (V x R)
E = 0.50k {(18i + 24j +72k) x (0.800j)}
E = 0.50 * 18 * 0.800 + 0
E = 0.72 volt
Thus, the motional emf will be 0.72 volt
2. If the wire segment is parallel to y-axis
E = 0.50j * {(18 x 0.080) k – (72 x 0.800) i)}
E = 0 volt
Thus, the motional emf in this situation is zero.
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When loading passengers onto your boat where should you position them?
While loading the passengers on to the boat we should make sure that we position them write above the centre of mass of the boat.
The center of mass is a point in or outside anybody where we consider that the whole mass of the body is concentrated. We know that when are boat is hovering over a fluid it will experience some upward force which is equal to the mass of the fluid displaced by the boat.
When we position the passengers write about the centre of mass of the boat, we reduces the chance of disbalance of the boat by a very significant level.
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You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 111 meter, and it made 800080008000 rotations during the trip. How far did the bus travel? round your answer to the nearest meter.
The bus will go 2.788×10^14 meters far if the special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point called it's center.
wr are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey.
It is given that diameter (D) of the tyre = 111 meters
circumference of the tyre = πD
circumference of the tyre = 3.14 × 111
= 348.5 m
In 800080008000 rotations, total distance covered = 348.5 × 800080008000 = 2.788×10^14
Thus, the bus will go 2.788×10^14 meters far if the special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey.
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a motorized cable moves a 2000kg elevator upwards at constant velocity for 10m.a) what is the work done by the motor?
The work done by the motor is 196×10⁴Joules, if a motorized cable moves a 2000kg elevator upwards for 10m.
We know that from The work-energy hypothesis, otherwise called the rule of work and dynamic energy, expresses that the all out work done by the amount of the multitude of powers following up on a molecule is equivalent to the adjustment of the motor energy of that molecule. This clarification can be reached out to inflexible bodies by portraying crafted by rotational motor energy and force
In order words, W=F.dx
where F is the force applied on the body, dx is the displacement of the body.
Now, for calculating force we know that gravity is acting on it
So, force applied on the body is =mg where m is the mass and g is acceleration due to gravity.
We have m=2000kg and g=9.8m/sec²
So, value of mg=2000×9.8=19600.0=19600N
Now, we have displacement(dx)=10m
So, work done=196000 × 10=1960000Joules or 196×10⁴Joules.
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What is the correct formula for wavelength as a function of energy?
The relationship between wavelength, energy, and frequency is expressed by the formula E = hv = hc/, where E is energy, h is Planck's constant, v is frequency, c is the speed of light, and w is wavelength.
How do you determine a function's wavelength? The relationship between wavelength, energy, and frequency is expressed by the formula E = hv = hc/, where E is energy, h is Planck's constant, v is frequency, c is the speed of light, and w is wavelength. The formula wavelength = wave velocity/frequency can be used to determine wavelength.Wavelength is typically measured in meters.Greek lambda is the sign for wavelength, therefore = v/f.Wavelength and frequency have a connection to energy just as they do to light.Higher frequency and shorter wavelengths are correlated with more energy.Therefore, lower energy is produced when the wavelengths are longer and the frequency is lower.E = h is the formula for energy.To learn more about wavelength refer
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A 20 kilogram ball rolls down a ramp and accelerates at a rate of 12 m/s per second. what is the net force acting on the ball?
The net force on 20 kilogram ball rolling down the ramp is 240 N.
Newton's law relates the acceleration of the ball and mass of ball. The relationship or formula between the two is as follows -
F = ma, where F is force, m is mass of ball and a is the acceleration of ball. Keep the values in formula to find the net force acting on the ball.
Force acting on the ball = 20 × 12
Performing multiplication on Right Hand Side of the equation
Force acting on the ball = 240 N
Thus, the force ont the ball is 240 N.
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At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s.
A. Calculate its mechanical energy.
(Please help!)
At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s, its mechanical energy becomes: 40450 J
What is mechanical energy?Mechanical energy, also known as kinetic energy or potential energy, is the energy that an item possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy.
In order to efficiently create electricity or convert energy, many sources of renewable energy depend on mechanical energy.
A compressed spring, for instance, has mechanical energy in the form of potential energy, whereas a moving vehicle has mechanical energy in the form of kinetic energy.
Given that,
mass (m) = 100 kg
speed (v) = 5 m/s
height (h) = 40 m
Total mechanical energy of the roller coaster at point A
= Potential energy at point A + Kinetic energy at point A
= mgh + (1/2)mv²
= (100×9.8×40)+ [0.5×100×(5)²]
= 39200 + 1250
= 40450 J (Answer)
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A jet engine generates 160 kn of force as it propels a 20.000kg plsn down a run way. If 49 kn of friction opposes the motion of the plane how much time win it take for the plmu to reach a speed of 33 m/s from Yest?
Time taken by plane reach a speed of 33 m/s from rest is 4.125 second.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Force generated by the jet engine: F = 160 kN = 160000 N.
Mass of the Plane: M = 20000 kg.
Acceleration of the plane = force/mass
= 160000 / 20000 m/s²
= 8 m/s².
Hence, Time taken by plane reach a speed of 33 m/s from rest =
change in speed/acceleration
= (33 -0)/8 second
= 4.125 second.
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