The best estimate of the acceleration of the object 2.5 m/sec².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Force due to gravity = mg
= 8*9.8 = 78.4 N
Net force on object = 78.4 - 60 = 18.4 N
Acceleration = 18.4/8 = 2.5 m/sec²
The best estimate of the acceleration of the object 2.5 m/sec².
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how to build slide out table top under existing table height, and is spring loaded to match table height??
Desktop risers or toppers, commonly referred to as standing desk converters, are movable devices that you install on top of your current workstation.
You can choose to stand instead of removing or shifting your current desk thanks to them.They come in a variety of sizes, designs, and price ranges and often have a desktop surface with a separate keyboard tray.
Because they are frequently the least expensive and most straightforward way to start standing, standing desk converters are something you should think about if you want to keep your current workstation.
The appropriate standing desk converter for you will depend on your height, computing setup, available space, and spending limit.
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Please write an explanation of the collapsing can experiment. Make sure you draw a diagram and include what is happening with the gas pressure.
(Don't draw it just someone might have the same question).
The crushing can experiment shows the relationship between the gases in a can and the air pressure.
What is the collapsing can experiment?Before we can understand the crushing can experiment, we need to bear at the back of our minds that in the kinetic molecular theory of gases, we are told that gas molecules are in constant random motion and that they collide with the walls of the container.
Now, in the crushing can experiment, we have steam that is held at a high temperature so that the molecules are moving rapidly and exerting pressure on the walls of the container. This pressure that is exerted by the gases in the can counterbalances the air pressure.
If the can is cooled such that the gases are less mobile and exert less pressure, then the air pressure on the can would exceed the pressure exerted by the gases inside the can and the can would squeeze.
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A 750 kg car is at rest at a red light. If the light turns green and it zooms away with an acceleration of 7. 8 m/s2 how fast will it be traveling in 7 seconds? express your answer in meters per second.
A 750kg car with an acceleration of 7.8m/s^2 will be as fast as 54.6m/s when it travels for 7 seconds.
It is a rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down.
How to calculate the speed of 750kg car when traveling in 7 seconds?
Vf = Vo + a*t
Vo = initial speed = 0 (the car is at rest at a red light)
Vf = final speed
a = acceleration = 7.8m/s^2
t =time = 7s
Vf = Vo + a*t
Vf = 0 + 7.8 * 7
Vf = 54.6m/s
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HELP PLEASEEEE!!!
1. The speed of sound depends on the __?_____ and ____?____ of the medium through which it travels.
it took 4 hours for a biker to travel at a certain speed from one city to another. on the return trip, the biker traveled at the same speed for the first 100 km, and then treaveld 10 km hr slower for the rest of the trip. this caused the return trip to be 30 min longer. find the distance between the two cities
Answer:4.5??
Explanation:
in data tables why are the units included at the tops of columns and at the beginning of rows,rather than with the numbers
The reasons why the units are included mainly at the top of columns and the beginning of rows in a data table includes.
The column and row headers are used to clarify the information contained in the cells of the tableThe units are placed at the specified locations at the column or row headers to reduce repetition and improve efficiencyPlacing the units only at the top, reduces the size of the tableIt allows for access to the raw data by programs for further analysisThe raw values of the data are mainly used during manual analysis, such as graphing and therefore are transferred and may be stored into further data table using the same formatWhat is a data table?A data table consists of a range of cells forming a document with content that can be addressed using row or column locations in which values are stored. The data in the cells of a data table can be accessed or retrieved or updated as required, later.
The title of the data table and the top of columns, known as column headers, and the beginning of rows, known as row headers are used to present more details of the content or information in the cells, in order to clarify their meaning.
Placing such details only in the column and row headers reduces repetition of the same details in all cells, improves clarity as usually only values that may be different are placed in the cells, such that it is easier to focus on the values.
The method of including units only at the top, reduces the amount of space required to store the data, it also facilitates the comparison of values in the dataset.
Including units only at the tops of columns and at the beginning of rows also allows the data table to be used for computerized data analysis, such as the programming of the required monthly payment on a home mortgage, through which different interest rate and loan amount can be experimented with to programmatically calculate the required or affordable monthly payment.
During manual analysis, such as graphing of the data, use is made of mainly the values in the table rather than units in calculations, as the number of data points may me much.
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A square coil, enclosing an area with sides 6. 4 cm long, is wrapped with 3,038 turns of wire. A uniform magnetic field perpendicular to its plane is turned on and increases to 0. 47 t during an interval of 1. 2 s. What is the magnitude of the induced voltage in the coil?.
The magnitude of the induced voltage in the coil is 0.25 V. The induced emf will be strong enough to counteract the underlying voltage shift.
Lentz's Law states that a coil will create or induce a back emf of V if a voltage of V is applied to it when it is not carrying any current. The same holds true if a coil is already carrying current; the back emf will then adapt to any applicable change in voltage (V) for the same reason. The voltage in inductors can be discontinuous, but the current is always a continuous function of time.
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true or false: moving a conducting rod with a constant velocity perpendicular to the direction of an external magnetic field results in one end of the rod having a net positive charge and the other end of the rod having a net negative charge.
Answer: The answer is True
How much sound energy does the source emit in one hour if its power output remains constant?.
93.6 joule is the energy if source emit in one hour and its power output remains constant
I= 0.026 W/m^2
t= 3600 sec
power= energy/time
energy=power×time
energy= 0.026×3600
energy=93.6 joule
Energy is the ability to perform work in physics. Different shapes, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc., may be assumed by it. Other instances of energy being transmitted from one body to another include heat and work. Energy is always distributed after it has been transferred in accordance with its type. Thus, heat transfer could result in thermal energy, whereas work could result in mechanical energy.
Motion is a trait shared by all forms of energy. For instance, if a body is moving, it possesses kinetic energy. Due to the object's design, which integrates potential energy, a tensioned object, such a spring or bow, has the ability to move even when at rest.
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Students in a physical science class are measuring the velocity of a model car. Their data is shown in the table.
Based on the data table, what would the acceleration be at 3. 5 seconds?
Based on the data table, the acceleration of this model car at 3. 5 seconds is equal to: D. 10 m/s/s.
How to determine the acceleration at 3.5 seconds?By critically observing the data provided in the data table, we can logically deduce that there exist a proportional relationship between the velocity of this model car (in m/s) and the time taken (in seconds).
Mathematically, a proportional relationship can be represented with the following mathematical expression:
v = kt
Where:
v represents the velocity of this model car (in m/s).t represents the time.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = v/t
Constant of proportionality (k) = 10/1
Constant of proportionality (k) = 10.
For the velocity at time, t = 3.5 seconds, we have the following:
Velocity, v = kt
Velocity, v = 10 × 3.5
Velocity, v = 35 m/s.
Mathematically, the acceleration of a physical object can be calculated by using this formula:
Acceleration = change in velocity/change in time
Substituting the given parameters into the formula, we have;
Acceleration = (35 - 15)/(3.5 - 1.5)
Acceleration = 20/2.0
Acceleration = 10 m/s/s.
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Answer:
10 m/s
Explanation:
please help and explain
(a) The time taken for the ball to reach the maximum height is 1 second.
(b) The maximum height reached by the ball is 25 m.
What is the time of motion of the ball?
The time taken for the ball to reach the maximum height is calculated as follows;
h = -16t² + 32t + 9
dh/dt = -32t + 32
dh/dt = v
where;
v is velocityat maximum height, the final velocity, v = 0
0 = -32t + 32
32t = 32
t = 32/32
t = 1 s
The maximum height reached by the ball is calculated as follows;
h = -16t² + 32t + 9
h = -16(1)² + 32(1) + 9
h = 25 m
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what is the angle of incidence of a light ray reflected off a plane mirror at an angle of 35 to the normal
The incidence angle of a light ray that strikes a plane mirror is 35 degrees from the horizontal, hence the angle of reflection is 55 degrees.
Is there reflection at absolute zero?Angle of incidence and angle of reflection are equal when a light beam is incident properly on a flat mirror, according to the laws of reflection. Due to the zero degree incidence angle and reflection, respectively. The path of the reflected light will therefore be the same as the route of the incident beam.
Describe an example of the angle of reflection.The angle between the light and the surface is 10° if it is parallel to the surface, and 80° if it is perpendicular. It follows that the incidence angle is 80o. The incidence angle and reflection is equal, according to the rule of reflection. The reflection therefore has an 80o angle.
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The Eatern coat of South America and the wetern coat of Africa are eparated by the Atlantic Ocean. If cientit find the ame type of plant foil on the eatern coat of South America and wetern coat of Africa, which of thee would be the bet concluion
It can be concluded that at one time in the past, South America and Africa were once one. Beside of the same type of plant foil on the eastern coast of South America and western coat of Africa, we can identify other similar reason that the coastlines of South America and Africa on opposite sides of the Atlantic Ocean seem to fit together.
Is it true that once upon a time South America and Africa is a continent?Yes, is it. Let's back to 1915, a German scientist named Alfred Wegener, proposed that continents could move around on the earth’s surface. He said that in the past there is a supercontinent in the earth named Pangea Continent. Not only South America and Africa, but also all of the continents were all together in the past.
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if star a has a core temperature t, and star b has a core temperature 3t, how does the rate of fusion of star a compare to the rate of fusion of star b?
Star b will have better fusion rate as compared to star a.
What is nuclear fusion reaction?
It is the reaction which powers the sun and other stars. In this reaction, two small nuclei fuse together to form one single heavier nucleus. During this process, large amount of heat is being liberated out.
The rate of fusion reaction increases rapidly with temperature until it reaches a point where it maximizes and then falls. Hence, it depends upon the numeric value of temperature taken. The star with temperature 3t will have a good fusion rate as compared to the star a with t temperature. There are many other things as well, which has to be kept in mind and it comes later on in the reaction.
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describe what happens when a star forms. begin with a dense core of material in a molecular cloud and trace the evolution up to the time the newly formed star reaches the main sequence.
In general, collapse causes central heating, which ultimately causes temperatures conducive to hydrogen ignition. Particularly, material from the molecular cloud's outer reaches transforms gravitational potential energy into kinetic energy as it falls inward toward the cloud's core when gravity outweighs pressure.
The material is either added to the central protostar or spun out into the protoplanetary disc when it reaches the centre of the cloud, converting its kinetic energy into thermal energy. As more material is added, the protostar gets hotter and brighter.
When the centre of the object reaches temperatures of 10-15 million K and nuclear fusion starts, its central pressure and temperature likewise rise. Other angular momentum-related processes shape the material surrounding the collapsing core in the interim and regulate the volume of material engaged in the collapse.
what is kinetic energy?
Kinetic energy is a type of energy that is present in every object or particle that is moving. When work, which entails the exchange of electrons, is done on an object by applying a net force, that object acquires kinetic energy.
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A dense core of material in a molecular cloud begins to collapse due to gravity.
What is gravity?
Gravity is indeed a fundamental interaction in physics that causes all objects with mass or energy to attract one another. The electromagnetic force, the weak interaction, and the strong interaction are all significantly stronger than gravity, which is by far the weakest of a four fundamental interactions. As a result, this has no appreciable impact on subatomic particle level phenomena. However, at the macroscopic level, gravity is the most important interaction between objects and governs the movement of planets, stars, galaxies, or even light. The Moon's gravity causes sublunar tides in the oceans, just as gravity on Earth gives weight to physical objects.
As it collapses, it heats up and the central regions become hotter than the surrounding material. This causes the central regions to become more dense and the surrounding material to be expelled. The star continues to collapse and heat up until it reaches the main sequence, where it stabilizes and begins to produce energy through nuclear fusion.
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A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.
The astronomer on duty going to have a bit of a problem satisfying her request after a white dwarf cools off it turns too bloodless and darkish to emit visible light.
According to astronomers, The fate of the left-over center relies upon its mass. If the left-over middle is about 1. four to 5 instances the mass of our solar, it'll crumble right into a neutron big name. If the middle is bigger, it's going to crumble right into a black hollow.
The growth and contraction of pulsating variables may be measured with the aid of using the Doppler effect. The traces inside the spectrum shift in the direction of the blue because the floor of the megastar moves in the direction of us after which shifts to pink as the floor shrinks again. Gold is uncommon in the course of the Universe as it's a tremendously hefty atom, such as seventy-nine protons and 118 neutrons.
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if the mass of the objects stays the same and their distance from eachother decreases, then the force of gravity between the two objects
A steel ball was launched horizontally off a ramp at a height of 1.5m above the ground. How many seconds does it take the projectile to hit the ground?
The time taken for the projectile to hit the the ground from a ramp of height 1.5 m is 0.55 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time it takes the projectile to hit the ground, we use the formula below.
Formula:
h = ut+gt²/2.......... Equation 1Where:
h = Height of the rampg = acceleration due to gravityu = Initial velocityt = timeFrom the question,
Given:
h = 1.5 mg = 9.8 m/s²u = 0 m/sSubstitute these values into equation 1 and solve for t.
1.5 = (0×t)+(9.8t²)/21.5×2 = 9.8t²t² = 3/9.8t² = 0.3061t = √0.3061t = 0.55 seconds.Hence, the time taken is 0.55 seconds.
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A person applies an impulse of 5. 0 kg∙m/s to a box in order to set it in motion. If the person is in contact with the box for 0. 25 s, what is the average force exerted by the person on the box?.
The person's average force on the box is equal to F = 20 N.
What is average force?The force applied by an object moving over a defined period of time at a defined rate of speed is known as the average force. Here, the word "average" is used to denote that the velocity is not instantaneous or precisely measured.
Given,
I = 5kg.m/s
t = 0.25s
We are aware that force is the same as the change in momentum over time. The impulse is equal to the change in momentum.
F = dP/dt
F = I/t
F = 5/0.25
F = 20N.
The person's average force on the box is equal to F = 20 N.
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Complete the equation to show how pyridine, c5h5n , acts as a brønsted-lowry base in water.
The reaction which occurs between water and pyridine is
C5H5H + H2O → C5H5NH+ + OH-
pyridine is a basic heterocyclic organic compound with a structure like benzene with one methine group replaced by a nitrogen
pyridine reacts with water where it may oxidizes water
The following reaction occurs when water is reacted with pyridine is
C5H5H + H2O → C5H5NH+ + OH-
C5H5N + H+ → C5H5NH+
pyridine is a hydrogen ion acceptor as new bonds are formed between nitrogen to form a new compound
Bronsted-Lowry acids, on the other hand, are solutions that act as a proton or hydrogen ion donors
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The speed of sound in air is 343 meters per second. You see lightning and hear thunder 12 seconds later. a. Is there a proportional relationship between the amount of time that passes and your distance from a lightning strike? Explain. b. Estimate your distance from the lightning strike.
a) there is a proportional relationship between the amount of time and distance from a lightning strike.
b)The distance from the lightning strike is 4,116 meter.
The speed of sound in air = 343 meters per second
Time to see lightning = 12 second.
a)Time and distance are directly proportional to each other.
as we know:
distance = speed x time
distance ∝ speed
distance ∝ time
b)The distance can be calculated as :
Distance = Speed x Time
Distance = 343 x 12
Distance = 4,116 meter.
a) there is a proportional relationship between the amount of time and distance from a lightning strike.
b)The distance from the lightning strike is 4,116 meter.
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Radiation dosage is commonly measured in
A) rads.
B) rems.
C) joules.
D) none of the above
Radiation dosage is usually measured in rads.
What is radiation damage?When ionizing radiation enters a human body or object, it stores energy. The energy absorbed by exposure to radiation is called dose. Radiation dose size is expressed in three ways: absorbed, equivalent and effective.
The energy absorbed by the human body after being exposed to radiation is called the absorbed dose. Absorbed dose is measured in units called Grays (Gy). A dose of 1 Gray corresponds to 1 Joule of energy stored in 1 kilogram of matter. Radiation has always been around us. In fact, life evolved in a world containing significant amounts of ionizing radiation. It comes from space, earth, and even from within our own bodies. Natural background radiation doses vary by location and habits.
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A block of mass m is attached to a modified atwood machine and is accelerated upward at 3a by a constant force f0. What is the weight of the block? responses.
The weight of the block is F₀ × g/(g + 3a)
What is the difference between weight and mass?Mass of an object is the same everywhere in the universe. Weight, on the other hand, varies by location. Mass is measured in kilograms. We usually say kilograms for weight, but strictly speaking, it must be measured in Newtons, which is a unit of force. Weight equals mass multiplied by applied gravity. i.e. W = mg
For the given case:
Mass of block = m
Acceleration = 3a
Force = F₀
So, F₀ - mg = m × 3a
F₀ = mg + m3a
F₀ = m(g + 3a)
m = F₀/(g + 3a)
Now, weight = mg
Where, g = 9.8 m/s²
W = F₀/(g + 3a) × g
W = F₀ × g/(g + 3a)
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If the work function of a material is such that red light of wavelength 700 nm just barely initiates the photoelectric effect, what must the maximum kinetic energy of ejected electrons be when violet light of wavelength 400 nm illuminates the material?.
The maximum kinetic energy of ejected electrons is 2.13 × 10⁻¹⁹ J.
The photoelectric effect is the emission of electrons while electromagnetic radiation, along with mild, hits a cloth. Electrons emitted in this way are referred to as photoelectrons.
The photoelectric effect is a phenomenon in which electrically charged particles are launched from or inside a fabric while it absorbs electromagnetic radiation.
The effect is regularly defined because of the ejection of electrons from a metallic plate while light falls on it. Einstein theorized that when a photon falls on the floor of a metallic, the complete photon's power is transferred to the electron. part of this power is used to dispose of the electron from the steel atom's hold close and the rest is given to the ejected electron as kinetic energy.
Using photoelectric effect:-
KEmax = hv - Ф
Ф = hv₀ = hc/λο
Hence, KEmax = hc/λ - hc/λο
= hc ( 1/λ - 1/λ)
Substituting the value
KEmax = (6.6 × 10⁻³⁴ )×(3× 10⁸)(1/400 × 10⁻⁹ - 1/700 × 10⁻⁹)
KE max = 2.13 × 10⁻¹⁹ J
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How does the observed pitch of the buzzer change as it moves towards the observer?.
The observed frequency increases and ear hears a higher pitch.
The Doppler Effect is the change in wave frequency caused by the relative motion of a wave source and its observer. Christian Johann Doppler discovered it and described it as the process of increasing or decreasing starlight based on the relative movement of the star.
The Doppler effect, also known as the Doppler shift, is a phenomenon that occurs when the source of waves moves in relation to an observer. A common physical demonstration of the Doppler Effect is an ambulance crossing you with its siren blaring. The Doppler effect is important in astronomy because it allows us to calculate the velocity of light-emitting objects in space, such as stars or galaxies.
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as more resistors are added in series to a constant voltage source, the power supplied by the source series/parallel circuits: as more resistors are added in series to a constant voltage source, the power supplied by the source decreases. increases. does not change. increases for a time and then starts to decrease.
The work energy of speed is 1304.2.
What is work energy?
Work energy is the most fundamental quantity of physics. Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
Initial velocity of runner u=4.8 m/s
Final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost = 1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner- Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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the two main classes of forces are
Forces can be divided into primarily into two types of forces: Contact Forces. Non-contact Forces.
In physics, pressure is an influence that can trade the motion of an item. A force can reason an item with mass to exchange its velocity (e.g. transferring from a country of rest), i.e., to boost up. force can also be described intuitively as a push or a pull. A pressure has each importance and route, making it a vector quantity. it's far measured in the SI unit of newton (N). force is represented by way of the image F (previously P).
The unique form of Newton's 2d law states that the internet force appearing upon an object is equal to the fee at which its momentum changes with time. If the mass of the item is constant, this law means that the acceleration of an item is at once proportional to the net force performing on the item, is in the path of the net force, and is inversely proportional to the mass of the object.
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which wave has the longer wavelength? calculate the wave- length. which wave has the higher frequency and larger photon energy? calculate these values. which wave has the faster velocity? what type of electromagnetic radiation are illustrated?
Electromagnetic radiation consists of electromagnetic field waves that propagate through space and carry electromagnetic radiation energy. These include X-rays, gamma rays, microwaves, infrared rays, light, and radio waves. In the electromagnetic spectrum, all of these waves are included.
For the wavelength:
Wave A has four crests, thus its wavelength can be calculated as follows:
λ = L/4
Where, λ = wavelength of a wave
L = total length of wave (1.6 × 10⁻³ m)
λ = 1.6 × 10⁻³ /4
λ = 4.1 × 10⁻⁴ m
Wave B has eight crests, thus its wavelength can be calculated as:
λ = L/8
Where, λ = wavelength of the wave
L = total length of wave (1.6 × 10⁻³ m)
λ = 1.6 × 10⁻³/8
λ = 2.0 × 10⁻⁴ m
This, explains that wave A has a higher wavelength.
Also, the wavelength in the range of 10⁻⁴m corresponds to the infrared region.
For the frequency:
ν = c/λ
Where, ν = frequency
c = speed of light (2.99 × 10⁸ m/s)
λ = wavelength
Wave A has a wavelength of 4.1 × 10⁻⁴ m, so the frequency of the photon will be:
ν = 2.99 × 10⁸/4.1 × 10⁻⁴
ν = 7.49 × 10¹¹ s⁻¹
Wave B has a wavelength of 2.0 × 10⁻⁴ m, so the frequency of photon will be:
ν = 2.99 × 10⁸/2.0 × 10⁻⁴
ν = 1.49 × 10¹² s⁻¹
Hence, wave B has a higher frequency.
For photon energy:
E = hν
Where, E = photon energy
h = plank's constant (6.626 × 10⁻³⁴ Js)
ν = frequency
Wave A has a frequency of 7.49 × 10¹¹ s⁻¹:
E = (6.626 × 10⁻³⁴)(7.49 × 10¹¹)
E = 4.96 × 10⁻²³ J
Wave A has a frequency of 1.49 × 10¹² s⁻¹:
E = (6.626 × 10⁻³⁴)(1.49 × 10¹²)
E = 49.93 × 10⁻²² J
Hence, wave B has greater energy.
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5) When a ball is rolling halfway down a hill is there still potential energy?
Explanation:
Select the type or types of energy the ball has at the top of the hill.
gravitational potential energy
Select the type or types of energy the ball has halfway down the hill.
gravitational potential energy
rotational kinetic energy
kinetic energy
Select the type or types of energy the ball has on the level ground.
kinetic energy
Cotivational Kinitics Energy
Explanation:
consider two identical wind turbines with a hub height of 40 m, one located in flat agricultural land and one located above a forest. what is the ratio of output power for the two turbines if the wind velocity is 10 m/s at a height of 100 m in both cases?
The ratio of output power for the two turbines is:
P₁/P₂ = 8.87³/ 8.34³
P₁ = 1.203 P₂
What is power?Power, the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, which is equivalent to 1 joule per second. Power is a scalar quantity.
Now let's discuss about the mentioned case:
For flat agricultural land:
Given,
Height (h₁) = 100 m
Wind velocity = 10 m/s
Height of wind turbines (h₂) = 40 m
For flat agricultural land let's consider the roughness to be of class 1.
So, f₀ = 0.03 ( coefficient of friction)
∴ v₂ = v₁ × ln (h₂/f₀) / ln (h₁/f₀)
= 10 × ln(40/0.03) / ln(100/0.03)
= 10 × 7.195/8.112
= 8.87 m/s
For forest land:
Given,
Height (h₁) = 100 m
Wind velocity = 10 m/s
Height of wind turbines (h₂) = 40 m
For forest and let's consider the roughness to be of class 3.
So, f₀' = 0.4 ( coefficient of friction)
∴ v₂' = v₁ × ln (h₂/f₀') / ln (h₁/f₀')
= 10 × ln(40/0.4) / ln(100/0.4)
= 10 × 4.605/5.521
= 8.34 m/s
Now, power output (P): ¹/₂ ρAv³C
Where, P = power
ρ = density of air
A = swept area
C = power coefficient
v = wind speed
P₁/P₂ = ¹/₂ ρAv₂'³C / ¹/₂ ρAv₂'³C
P₁/P₂ = 8.87³/ 8.34³
P₁ = 1.203 P₂
P₁ = Power of wind turbine in flat agricultural land
P₂ = Power of wind turbine in forest
Using above explanation we can conclude that the wind turbine in flat agricultural land produces more power than the wind turbine in forest.
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