16.52 m/s is the velocity and vcosθ is the velocity in component vector form.
velocity in vector form= vcosθ
vector form= vcosθ
vector form=18cos53
v=16.52 m/s
"The rate at which an item changes its location" is described by a vector number called velocity. Imagine someone walking quickly, one step forward, one step back, and starting each step from the same location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A velocity of 55 miles per hour is not sufficient information. It is necessary to account for the direction in order to accurately describe the object's velocity. Simply put, the direction of the velocity vector represents the motion of the object.
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If the current leaving the cell in a parallel circuit is 0.3 A, what is the sum of the currents through all the branches in the parallel circuit?
The sum of the currents through all the branches in the parallel circuit is 0.3 A.
What is a parallel circuit?A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.
The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.
The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;
I = V/R₁ + V/R₂ + V/R₃
where;
V is the voltage across the circuitR₁ is the resistance of the first component of the circuitR₂ is the resistance of the second component of the circuitR₃ is the resistance of the third component of the circuitThus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.
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Nabil wants to work out the density of a pebble. He has a displacement can and a beaker. What other piece of equipment will he need?
In order to determine the density of the pebble, Nabil requires a balance to measure the mass of the pebble.
What is the density of a substance?The density of a substance is the measure of how tightly-packed the particles in the substance are.
Density is the ratio of the mass and volume of the substance.
Density = mass/volumeTo determine the density of a substance, the mass of the substance is measured with a balance and the volume of the substance if it is solid is measured using a displacement can and a beaker.
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What is the speed of the car with a distance of 100 meters in 35 seconds?
Answer:
Formula
V = D/TResolve:
V = 100m / 35sV = 2m/5Hope this helped
Hello..!
We first apply the data to the problem.
Data:
Depth = 100 metersT = 35sV = ?Then, we apply the formula that is.
Formula:
V = D/TFinally we develop the problem.
Developing:
V = 100m / 35sV = 2m/sThe speed is 2 meters per second.
which of the following are decomposition reactions?
a. CH^4 (g) + 20^2 (g) ->CO^2 (g) + 2H^2O (g)
b. CaCO^3 (s) -> CaO (s) + CO^2 (g)
c. N^2 (g) + 3H^2 (g) -> 2NH^3 (g)
d. 2H^2O (i) -> 2H^2 (g) + O^2 (g)
Check all that apply
The correction options indicating a decomposition reaction are:
B. CaCO₃ -> CaO + CO₂D. 2H₂O -> 2H₂ + O₂What is a decomposition reaction?This a reaction in which a compound breaks down into smaller elements or compound by the application of heat. Example is given below:
AB₂ -> A + B₂
We can see that AB₂ decomposed to produce A and B₂
With the above information in mind, we can easily determine which reaction is decomposition reaction from the given options.
The options from the question are:
A. CH₄ + 2O₂ -> CO₂ + 2H₂OB. CaCO₃ -> CaO + CO₂C. N₂ + 3H₂ -> 2NH₃D. 2H₂O -> 2H₂ + O₂Observing the given options with the knowledge of decomposition reaction, we can conclude that the correct options are:
B. CaCO₃ -> CaO + CO₂D. 2H₂O -> 2H₂ + O₂Learn more about decomposition reaction:
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if the wet bulb depression is 3° and the dewpoint is 24°, what’s the relative humidity?
The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.
What is relative humidity?Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.
The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:
RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]
Where
RH = Relative Humidity
T = Air Temperature
Dp = Dewpoint
β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)
e = 2.7182818 [exponential constant]
Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart
As given on the chart and in the question;
T = 28°
Dp = 24°
Hence,
RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]
RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]
RH = 100 x (4.874414/6.176578)
RH = 100 x 0.789177113929
RH = 78.9177113929
RH [tex]\approx[/tex] 78.92%
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what is the work done by a 20 newton force applied at an angle of 45.0° to move a box horizontal distance of 40 meters
The work done by a 20-newton force applied at an angle of 45.0° is 565.69 J.
Calculation:-
Force = 20 N
distance = 40 meters
angle = cos 45°
Work done = F.d cosθ
= 20×40 × 1/√2
= 800 / √2
= 565.69 J
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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The light given off from a candle is which method of heat transfer?
A. Conduction
B. Convection
C. Radiation
As soon as a candle is lit, the air just above the flame begins to warm up. As a result, the air becomes hotter and rises. This is caused by the convectional process of heat transfer, and the hot air stream is referred to as a convection current.
The air is heated by the candle, and the heat rises to the hand. The hand eventually pulls away from the candle because it becomes too hot.The heated air that rises toward the ceiling in your home is an excellent illustration of a convection current. Convection currents are prevalent in the air. The process takes place because warmer air is thought to be less dense than colder air. Wind is another excellent illustration of convection circulation.When a candle burns, the oxygen in the air and the hydrogen and carbon from the wax mix to form carbon dioxide and water vapor. These two gases make up the majority of the material in the candle.To know more about convection
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If the motion of an object in the x direction and y direction is known, how can the total motion of the object be found?
Explanation:
resultant motion = √x² + y²
this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.
hope it helps. :)
Which factor will not affect the strength of a solenoid?
Question 2 options:
number of wraps
strength of current
color of the wire
adding an iron core
The color of the wire is a factor that will not affect the magnetic strength of a solenoid.
What is a solenoid?A solenoid is a device that consists of a coil made of wire, a housing and a moveable armature. When an electrical current is flowing in the solenoid, a magnetic field forms around the coil which draws the plunger inside. A solenoid has the ability to convert electrical energy in the form of mechanical work.
The magnetic field created by a solenoid depends on the current and density of rounds. The energy density of the magnetic field depends on the strength of the magnetic field and also depends upon the magnetic permeability of the material present in it. Iron has a larger permeability as compared to a vacuum.
So we can conclude that option C is the correct answer.
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The United States Navy Diving Manual contains a wealth of information about diving from the history of diving to underwater physics and physiology. Start by browsing the U.S. Navy Diving Manual (located within the weekly readings) and then post a response to the following questions: How do the pressure variations with depth affect our ability to explore the ocean? In particular, what are some of the challenges of scuba diving?
The answers include the following:
The increase in the pressure is directly proportional to the depth and affects our ability to explore the ocean as the water pressure slows it down.The challenges of scuba diving include decompression sickness and drowning. What is Pressure?This is referred to as the force per unit area of a substance and the unit is Pascal. This parameter varies with depth such that the higher the pressure, the deeper the ocean or water body and vice versa.
The pressure variations affects the ability to explore the ocean such that it exerts a force on the diver thereby slowing him/her down and also not being able to reach certain areas.
The challenges of scuba diving include drowning and decompression sickness which is characterized by dissolved gasses exiting solution to form bubbles inside the body.
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The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?
A B C D
100V 25V 5V 30V
A
B
C
D
Answer: C. 5V
Explanation:
Since P = VI, power is directly proportional to voltage
If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.
2) Calculate the Energy of each of the following
a) Radio waves with a wavelength of 3.0 x 10¹¹ nm (6.626 x 10-28 J)
b) Microwaves with a wavelength of 3.0 x 107 nm (6.626 x 10-24 J)
c) X-Ray at 1nm (1.99 x 10-¹6J)
d) Violet at 400nm (4.97 x 10-¹⁹ J)
e) Red at 700nm (2.84 x 10-¹⁹J)
f) Gamma rays at 1nm (1.98 x 10-¹6J)
The energy, E of the given waves are as follows:
a. Energy, E = 6.63 * 10⁻²⁸ J
b. Energy, E = 6.63 * 10⁻²⁴ J
c. Energy, E = 1.99 * 10⁻¹⁶ J
d. Energy, E = 4.97 * 10⁻¹⁹ J
e. Energy, E = 2.84 * 10⁻¹⁹J
f. Energy, E = 1.99 * 10⁻¹⁶ J
What is the formula to calculate the energy of a wave?The formula to calculate the energy of a wave s given below as follows:
Energy, E = hc / λwhere;
h is Planck's constant = 6.63 * 10⁻³⁴ Js
c is the velocity of light = 3.0 * 10⁸ m/s
λ is the wavelength of the light
The energies of the waves are calculated as follows:
a. λ = 3.0 x 10¹¹ nm or 3.0 * 10² m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10²
E = 6.63 * 10⁻²⁸ J
b. λ = 3.0 x 10⁷ nm or 3.0 x 10⁻² m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10⁻²
E = 6.63 * 10⁻²⁴ J
c. λ = 1 nm or 1.0 x 10⁻⁹ m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m
E = 1.99 * 10⁻¹⁶ J
d. λ = 400 nm or 4.0 x 10⁻⁷ m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 4.0 x 10⁻⁷ m
E = 4.97 * 10⁻¹⁹ J
e. λ = 700 nm or 7.0 x 10⁻⁷ m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 7.0 x 10⁻⁷ m
E = 2.84 * 10⁻¹⁹J
f. λ = 1 nm or 1.0 x 10⁻⁹ m
E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m
E = 1.99 * 10⁻¹⁶ J
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At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 x 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-11 N•m²/kg².)
The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.
Give an example to define gravitational force.The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.
Where is gravity located?All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force
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To cool 350 mL of coffee at 90 ∘C to 0 ∘C , what is the minimum mass of 0 ∘C ice required?
Ice at 0°C must have a minimum mass of 0.39 kg.
As we know that
M(ice) at Ti(ice) = 0°C
Mс = 350 ml at Tic = 90°C
Now,
The heat loss by coffee=heat gain by ice
So,
McScΔ₁ = M₁L₁
Then,
ρv = 10³×(350×10-³)×10-³ = 350g
The specific heat of coffee = 1 cal/9°C
The latent heat of ice = 80 cal/g
Now, we plug all the values in above formula
350×1×(90-0) - M₁x80
M₁ = [tex]\frac{350x90}{80}[/tex]
=393.75g
=0.393kg
The minimum mass of 0°C ice required is 0.393 kilograms
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Bill throws a 10.0-g ball straight down from a height of 2.0m. The ball strikes the floor at a
speed of 7.5 m/s. What was the initial speed of the ball?
The initial speed of the ball is 4.12 m/s.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given parameters:
Mass of the ball; M = 10.0 g.
Height from where ball straight down from : h = 2.0 m.
Final speed of ball; v = 7.5 m/s.
And we known that, acceleration due to gravity; g = 9.8 m/s²
We have to find: the initial speed of the ball: u = ?
We know that, v² = u² + 2gh
⇒ u² = v² - 2gh
⇒ u² =( 7.5)² - 2×9.8 ×2
⇒ u² = 17.05
⇒ u = 4.12 m/s.
Hence, the initial speed of the ball is 4.12 m/s.
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In the district soccer championship finals, Elizabeth kicks a 0.94 kg soccer ball with a force of 35.0 N. How much does she accelerate the soccer ball from rest in the process?
Taking into account the Newton's Second Law, she accelerate the soccer ball from rest to 37.234 m/s² in the process.
Newton's second lawNewton's Second Law states that this force will change the speed of an object because the speed and/or direction will change.
Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.
Mathematically, Newton's second law is expressed as:
F= m×a
where:
F = Force [N]m = Mass [kg]a = Acceleration [m/s²]Gravitational force be on the MoonIn this case, you know:
F= 35 Nm= 0.94 kga= ?Replacing in Newton's second law:
35 N= 0.94 kg× a
Solving:
a= 35 N÷ 0.94 kg
a=37.234 m/s²
Finally, she accelerate the soccer ball to 37.234 m/s².
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You do 13 J of work as you lift a 35-N pail of water. Through what height did you lift the pail?
Height to which the lift of the pail is taken is 0.37m.
Height is the vertical distance of an object from the surface of the Earth.
Work done = 13 J
Weight of the pail of the water = 35-N
Gravity is defined as the force that attracts a body to the Earth or any other physical body that has mass.
The acceleration due to gravity is denoted by 'g' which has the value of 9.81 [tex]m/s^{2}[/tex].Work done by gravity = mghW = mgh
mg = 13 J
W = 35 N
h = [tex]\frac{W}{mg}[/tex]
h = [tex]\frac{13}{35}[/tex]
h = 0.37 m
The height to which the lift of pail will be raised will be 0.37m.
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I need help fast hurry
Sound waves are mechanical waves. They need a medium for propagation. In air the sound waves will travel smoothly and we can get it. Whereas in vacuum, no medium is there and the sound waves cannot propagate.No sound can be produced there.
What is mechanical waves?Mechanical waves are waves propagating through a medium such as air, water etc. There are two types of mechanical waves namely transverse wave and longitudinal waves.
In transverse waves, the vibration of particles is in a direction perpendicular to the wave whereas, in longitudinal waves, both are in one direction. Sound wave is a longitudinal wave.
Unlike electromagnetic waves mechanical waves cannot be travelled in vacuum. Hence if we try to produce sound in space or vacuum,no effect will be there but in air and water sound waves can be propagated.
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A projectile is launched horizontally on a table that it 40 cm high. The projectile lands 10 m away. What is the horizontal
velocity of the projectile as it leaves the launcher?
The horizontal velocity of the projectile as it leaves the launcher is 35 m/s.
What is the time of motion of the projectile?
The time of motion of the projectile is calculated by applying the following kinematic equation as shown below.
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity = 0t is the time of motiong is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 0.4 / 9.8)
t = 0.286 s
The horizontal velocity of the projectile as it leaves the launcher is calculated as follows;
v = x/t
where;
x is the horizontal distancet is the time of motionv = 10 m / 0.286 s
v = 35 m/s
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One way to find the mass of an object is to
measure its acceleration when a force acts on
it. If a force of 80 N causes a box to accelerate at
0.10 m/s², what is the mass of the box?
800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.
How does acceleration work?The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.
What qualities make a force?The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.
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Think about a demonstration with a deflated and inflated basketball. The basketball weighed more after it was inflated with air than when it was deflated. How does this show that gas is matter?
If the basketball weighed more after it was inflated with air than when it was deflated, this show that gas is matter because it takes up space and has mass.
Generally matter can be described as a physical substance. Descriptively it can be said that anything that takes up space and has mass is called as matter.
Clearly, an inflated basketball is bigger in size than a deflated basketball. So, it can be said that with the help of air the inflated basketball has gained size. The basketball weighed more after it was inflated with air than when it was deflated, meaning the air has mass.
Therefore, this show that gas is matter because it takes up space and has mass.
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give me a water analogy of an electric current with high current but low voltage
A battery is analogous to a pump in a water circuit
What is the water analogy for current ?A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.
Voltage, current, and power may all be explained using the water/hose analogy in relation to electricity. Generally speaking, charge, voltage, and current represent the flow, pressure, and charge of water, respectively. Water flowing continuously throughout time is referred to as power.An illustration of a water tank is frequently used to explain voltage, current, and resistance. This analogy compares charge to the volume of water, voltage to the pressure of the water, and current to the movement of the water.Learn more about Water analogy here:
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The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time? Explain your answer.
The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.
What is magnetic field?The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.
A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.
The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.
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Find the work done in moving a particle from P (0.92, 2.5) to Q(−3.1, 5) if the force is ⃗v = −3.6ˆı + 2.1ˆ.
The magnitude of the work done on the particle by the applied force is 19.72 J.
What is work done?The work done in moving a charged particle is determined from the product of force and displacement of the object.
W = Fd
where;
F is the applied forced is the displacement of the particleThe magnitude of the particle's displacement is calculated as follows;
|d| = √[(x₂ - x₁)² + (y₂ - y₁)²]
where;
x₁ and x₂ are the initial and final position of the particle in horizontal directiony₁ and y₂ are the initial and final position of the particle in vertical direction|d| = √[(-3.1 - 0.92)² + (5 - 2.5)²]
|d| = 4.73 m
The magnitude of the force is calculated as follows;
F = √(-3.6² + 2.1²)
F = 4.17 N
The work done = 4.17 N x 4.73 m = 19.72 J
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If it takes more force for an object with more mass to accelerate because it has more inertia and objects with less mass have more acceleration (because a∝1/m in Newton's Second Law F=ma), then why do objects with more mass and objects with less mass accelerate at the same rate towards Earth (about 9.8m/s^2)?
Explanation:
Gravity is the only force acting on an object in free-fall. According to Newton's second law, the force is equal to mg, so the mass is taken into account there.
Does the coaster car travel as high as point h
Answer:
no coaster car does not travel as high
If the water start at a height of 45 metered and has a mass of 250 kg what is the potential energy of the water
The potential energy of the water having height of 45 m and has a mass of 250 kg is 110,250 Joule.
The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in meters.
Substituting the value of mass (m), height(h) and g in the formula of potential energy
P.E = mgh
P.E. = 250*9.8*45
P.E.= 110,250 J
What is potential energy?Potential energy is the power that a thing possesses as a result of where it is in relation to other objects. Because the earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.
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A student throws a baseball vertically upward and then catches it. What would that graph look like?
What is a statement of relation between objects?
O Rule
O Concept
O Image
O Symbol
A statement of relation between objects is called as Concept.
How do you define a concept?
Concepts are regarded as intangible ideas. They are acknowledged as the basic conceptual building blocks of principles, thoughts, and beliefs.
They are critical to all facets of cognition. As a result, concepts are investigated by a variety of academic fields, including linguistics, psychology, and philosophy. These fields are curious about the logical and psychological structure of concepts as well as how they are combined to create thoughts and sentences.
An increasingly popular interdisciplinary approach known as cognitive science has made the study of concepts a focal point.
There are currently at least three popular approaches to understanding a concept:
Representations of ideas in the mind, where ideas are things that exist in the mind (mental objects). Concepts as abilities, where concepts are unique cognitive agent abilities (mental states)Concepts as Fregean senses—abstract things in contrast to mental objects and mental states.To learn more about concept from the given link
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according to particle model of light what happens to the speed of light as it enters a optically denser medium.
According to particle model of light, speed of light decreases as it enters a optically denser medium.
Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:
where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.
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