Option (B)- 300,000 km/s is the speed at which radio waves move through the air. A radio wave with a frequency of 100 megahertz has a wavelength of 3.0 m.
Use the relationship: wavelength = speed/frequency = 300,000,000 m/s / 100,000,000 = 3 m.
The electromagnetic spectrum's longest wavelengths, which are found in a radio wave, are normally found at frequencies of 300 gigahertz (GHz) and lower. The wavelength for 30 Hz is 10,000 kilometers (6,200 miles) while the wavelength for 300 GHz is 1 mm (shorter than a grain of rice) (longer than the radius of the Earth). Like all electromagnetic waves, radio waves move at the speed of light in a vacuum and at a nearly same, slightly slower speed in the Earth's atmosphere. Charged particles, such as time-varying electric currents, that are accelerating produce radio waves. All warm objects emit blackbody radiation, which includes naturally occurring radio waves emitted by lightning and celestial objects.
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Water evaporating off a hot and a room-temperature surface?
Look at the pictures above and write a brief description of what is happening in each one on the molecular level.
Answer: Hot and room temperature surface.
Explanation: from the picture the hot temperature surface has easy and loose intermolecular activity, there are more spaces between the molecules to escape. So, it is for the water molecules to evaporate faster which is directly propositional to the temperature. Simply when a water is boiled at 100 degrees that when the heat helps the molecules to evaporate fast through the steam. But when it is in the room temperature the molecules are slightly tightly packed to each other, that is the reason why molecules can't evaporate as fast as compared to the hot temperature. It mostly depends on the intermolecular bond and kinetic energy that helps the molecules to escape into the atmosphere.
a renewable resource can be question 41 options: used indefinitely. replenished by natural processes within hours to centuries. replenished by natural processes in millions of years. consumed completely if it is managed within its sustainable yield. found and used easily.
Renewable resources can be replenished by natural process within hours to centuries.
Renewable energy is energy this is constituted of herbal methods and continuously replenished. A few examples of renewable electricity are daylight, water, wind, tides, geothermal warmness, and biomass.
Plastic is made from crude oil, a nonrenewable useful resource. even though the plastic we use may be recycled, the quantity of stable waste generated by plastic is turning into a trouble.
“Sand is not a renewable aid,” Parkinson stated. “while sand is eroded from the seashore during a typhoon, it commonly accumulates in offshore regions as a very thin layer that can not be dredge again to assemble a new seaside or dune.”
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Can any one answer number 4?
There are several methods for producing solar cells, depending on the type of cell and the materials used. Some of the most common methods include:
Crystalline silicon solar cells: These cells are made from silicon wafers that are cut from a large, single crystal of silicon. The wafers are then treated with various chemicals and processes to create the photovoltaic effect. This method is widely used because it is relatively efficient and cost-effective, although it does require a significant amount of energy and resources to produce the silicon crystals.Thin-film solar cells: These cells are made by depositing a thin layer of photovoltaic material (such as cadmium telluride or copper indium gallium selenide) onto a substrate, such as glass or plastic. The thin film is then treated with various chemicals and processes to create the photovoltaic effect. This method is less efficient than crystalline silicon, but it is more flexible and can be used to produce flexible or lightweight solar panels.Perovskite solar cells: These cells are made from a type of material called a perovskite, which is a crystalline compound that can be easily processed into thin films. The perovskite film is then treated with various chemicals and processes to create the photovoltaic effect. This method is relatively new, but it has the potential to be more efficient and cost-effective than other methods.Overall, the production methods for solar cells vary depending on the type of cell and the materials used. Some methods are more efficient
A kettle is rated as 2.3kW. A mass of 750g of water at 20oC is poured into the kettle.When the kettle is switched on, it takes 2.0 minutes for the H2O to start boiling. In a further 7.0 minutes, half of the mass of H2O is boiled away. Estimate for this water: The specific heat capacity, the specific latent heat of vaporization.
The specific heat capacity of water, Cw is 4.6 J/g/K
The specific latent heat of vaporization of water, Cv is 2576 J/K
What is the amount of energy used by the kettle?Electrical energy is defined as the product of electrical power in watts and time in seconds.
Mathematically;
Electrical energy = power * time
The amount of energy used by the kettle to boil the water is calculated below:
Energy used = 2.3 kW * 1000 W/kW * 2 * 60 s/min
Energy used = 276000 J
The specific heat capacity of water, Cw is determined as follows:
Energy = mass * Cw * temperature change
Cw = Energy / mass * temperature change
Cw = 276000 / 750 * (100°C - 20°C)
Cw = 4.6 J/g/K
The amount of energy used by the kettle to evaporate half the mass of the water is calculated below:
Energy = 2.3 kW * 1000 W/kW * 7 * 60 s/min
Energy used = 966000 J
The specific latent heat of vaporization of water, Cv is determined as follows:
Energy = mass * Cv
Cv = Energy / mass
Cv = 966000 / (750 * 0.5)
Cv = 2576 J/K
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Which of the following statements are true for an image formed by a plane mirror?The image always appears to be located the same distance behind the mirror as the object is located in front of the mirror.A. The image formed by a plane mirror is always a real image.B. The image is always larger than the object.C. The image formed by a plane mirror is always an upright image.D. The image formed by a plane mirror is always an inverted image.E. The image formed by a plane mirror is always a virtual image.
A mirror with a plane reflecting surface is known as a plane mirror. A plane mirror creates a virtual image of the same size as the thing that is behind the mirror.
The distance between the object and the mirror is the same for both the image and the object. Thus, the appropriate choice is (b). A planar mirror always creates a true-to-life image. The image always exceeds the thing in size. An upright picture is always produced by a flat mirror. An inverted picture is always produced by a plane mirror. Every time an object is in front of the mirror, the image appears to be behind it at the same distance.
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Two balls of clay known masses hang from the ceiling on masslessstrings of equal length. They barely touch when both hang atrest. One ball is pulled back until its string is45o, the released. It swings down, collides withthe second ball, and they stick together. To determine theangle to which the balls wing to the opposite side, you need toinvoke:
A. Conservation of momentum
B. Conservation of mechanicalenergy
C. Both conservation of momentum andconservation of mechanical energy
D. Either, but not both.
E. These principles alone are not sufficientto find the angle
To determine theangle to which the balls wing to the opposite side, C. Both conservation of momentum and conservation of mechanical energy (option c).
Conservation of energy and momentum is one of the most important and useful principles in physics. Conservation of momentum states that if no external forces are acting on a system of bodies, the total momentum is always the same (conserved). Furthermore, if we can give a potential to all forces, whether external or internal, the total energy is also constant. This is the law of conservation of energy.
1.Conservation of energy to calculate the velocity of the first ball of clay by the time it descends:
mgh=1/2mu2
[calculate h by using h=L(1-cos45)]
2.Conservation of momentum to find out the final velocity of the balls of clay using:
m1u1+m2u2=(m1+m2)v
3.Conservation of energy to calculate the max height the balls of clay will go by using:
1/2(m1+m2)v2=mgh
Once you have h,
h=L(1-cosθ), solve for θ
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choose one of the theorems you have encountered that is easier to prove with a coordinate proof than with another type of proof. explain. then write a coordinate proof.
The "generalised" points on the Cartesian Plane are used in the coordinate proof to support a geometric theorem. In order to use the midpoint or distance formulas, the procedure typically entails assigning variables to the coordinates of one or more points.
Example of coordinate proof
Show or deny the existence of a parallelogram in the quadrilateral formed by the points (2, 4, 1, 2, 5, 1, and 4). It's not required to plot the points, although it does assist to visualize. You can use it to determine whether or not it resembles a parallelogram.
There is no doubt that this is a parallelogram. Remember that a parallelogram is a quadrilateral with two sets of parallel sides to demonstrate that the shape is one. Therefore, confirming that the opposing sides are parallel is one technique to demonstrate that it is a parallelogram. Remember from algebra that if two lines have the same slope, they are parallel. On the image, identify the slope of each side.
Equal slopes can be found on the opposing sides. The opposing sides are thus parallel. The quadrilateral is a parallelogram as a result.
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A 240 g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.100 s. If the total energy of the system is 1.00 J, find the following
(a) the force constant of the spring(b) the amplitude of the motion.
Simple harmonic motion with a period of 0.100 s is carried out by a 240 g block that is fastened to a horizontal spring.the spring's force constant is 947.4 N/m, and the motion's amplitude is 0.00211 m.
Let:
m=240g,T=0.100s,E=1.00J
ω=2π/T
=2π/0.1=62.83 rad/s
(a) k=mω²=(0.240kg)(62.83 rad/s)²=947.4 N/m
(b) E=kA²/2
A=√(2E/k)=√(2*1.0 J/947.4 N/m)
A=0.00211m
Simple harmonic motion is the repetitive movement back and forth through an equilibrium, or central, position in physics where the maximum displacement on one side of the position is equal to the maximum displacement on the other. Each entire vibration has a constant duration between them. The motion is always caused by a force that is directly proportionate to the distance from the equilibrium position and is always directed toward it. In other words, the equation F = kx, where F is the force, x is the displacement, and k is a constant The relationship is known as Hooke's law.
The oscillation of a mass attached to a vertical spring with the other end fixed in a ceiling is one particular instance of a simple harmonic oscillator.
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Which of the following statement(s) about light is/are correct?
(I) light travels faster than sound in air
(II) light cannot travel through a vacuum
(III) a rough surface cannot reflect light
(IV) an opaque material cannot reflect light
A: I only
B: I and II only
C: III and IV only
D: I, III, and IV only
The correct statements are:
light travels faster than sound in aira rough surface cannot reflect light an opaque material cannot reflect lightTherefore, option D is correct.
How does light travel?Light has always been known to travel in a straight line. Light does not bend while travelling but instead follows the shortest path between the starting point and the endpoint, which is a straight line.
The speed of light in air is the fastest known speed, hence, light travels faster than sound in air.
For a rough surface, reflected light rays scatter in all directions in a phenomena called diffuse reflection.
Diffuse reflection is when light hits an object and reflects in lots of different directions.
Hoever, for opaque materials, light absorbed and not reflected.
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help me ! thank you!!!!!
The horizontal force the student exerts on the boat is equal to 120 N toward in front of the boat. Therefore, option (A) is correct.
What is force?Force acting on a body can be defined as the influence that changes the state of the object of motion or rest. The force's S.I. unit is Newton (N) and is a vector quantity.
Force acting on an object can change the direction as well as the speed of the moving object. The force can be determined from the mass (m) times acceleration (a) of an object.
F = ma
Given, the mass of the student, m = 60 Kg
The acceleration of the student, a = 2.0 m/s²
The force acting on the boat can be calculated as follows:
F = ma
F = 60 ×2.0
F = 120 N
Therefore, the horizontal force is 120 N toward the front of the boat.
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Bill Lauer, retired UT professor who holds six.national swimming records in the 80-84 age group, drops one of his medals in the swimming pool. He shines a flashlight into the pool onto his medal. The index of refraction of the water is 1.33. All dimensions are given in meters STATS-HELP ? NOTES T IMAGES | i Discuss. I Ulis art Description Answer Chk History Try 2-your answer of 3.44 m is not correct. How far is the medal from the edge 3.44m A of the pool? (include units with answer) 13.2 pts. 106% Angles must be measured from normal, not from water surface. try penalty tries: 2. how Detais Hints: 0.1
Distance from edge is 4.678m
We know from Shell law
nsini = n2 sinr
1 × 1.6/(1.6² + 1²)[tex]1^{1/2}[/tex] = 1.33 × p/p² + 3.9²)[tex]1^{1/2}[/tex]
P² = 0.3838p² + 0.3838(3.9)²
P = 3.078m
Distance from edge = 1.6 + 3.078 = 4.678m
the difference between two positions in terms of size or magnitude. Keep in mind that the distance traveled between two spots and the distance between them are two different things. The total length of the journey taken between two points is known as the distance traveled. Distance covered Distance, which is measured along the actual path that connects two points, is a scalar quantity. A vector measure of displacement is the distance between two points as measured along the shortest path between them.
In what direction does the Earth move in a year? Although the Earth's orbit is fairly large (the radius is close to one trillion meters), the displacement is very small (in some respects, zero). When a year has passed,
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a metal with a work function of 1.2 ev is illuminated by visible light with the full range of wavelengths, which we take to be 400 nm to 700 nm. What is the maximum kinetic energy, in electron volts, of the photoelectrons?
The maximum kinetic energy, in electron volts of the photoelectrons, is K.Emax = 1.8ev.
Solution:
E = Wo + K.Emax
= 3.10ev = 1.3ev + K.Emax
= K.Emax = 1.8ev
Kinetic energy is the energy that an object has when it moves. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.
Kinetic energy is the kinetic energy observable as the motion of a body particle or group of particles. All moving objects use kinetic energy. A person walking throwing a baseball crumbs falling from a table and charged particles in an electric field are examples of kinetic energy.
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The net work done in accelerating a solid cylindrical wheel from rest to an angular speed of 5050 rev/ min is W=590. J. If the radius of the wheel is 1.10m, what is its mass?
The mass of the solid cylindrical wheel is 71.14 kg .
What is mass?
Measuring inertia, a property of all stuff that cannot be changed. What a body of matter is in essence is the resistance it provides to a change in its speed or position brought about by the application of a force.
What is acceleration ?
Acceleration is the term for the rate of change in speed. In most cases, but not always, acceleration denotes a shift in speed. An object is still moving in a circular path, but the direction of its velocity is changing, thus it is still gaining speed.
final angular speed of wheel is
w = 50 rev/m/n = 50 * 2π/ 60 = 1rev/ min = 2π/ 60 rad/s
w = 10π/6 rad/s
work done w = 590 J
radius of wheel is r = 1.10 m
as we know that work done in rotating of wheel is
W = 1/2 I W²,
Where I is moment of inertia of the wheel
moment of inertia of a solid cylindrical wheel is
I = 1/2 mr², where m is mass
∴ W = Hw/ r²w²
m= 4*590/ (1.10)² ( 10π/6) ² = 4* 590* 36/ 1.21* 100 π²
m= 71.14 kg
Therefore, mass of the solid cylindrical wheel is 71.14 kg .
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(11.2) Describe the expanding steady state model. Describe an observation that would test the predictions of the perfect cosmological principle. Is the steady state model in conflict with present observations of the universe?
a 450 g air-track glider attached to a spring with spring constant 8.00 n/m is sitting at rest on a frictionless air track. a 450 g glider is pushed toward it from the far end of the track at a speed of 150 cm/s . it collides with and sticks to the 450 g glider. What are the amplitude and period of the subsequent oscillations?
The amplitude and period of the subsequent oscillations 112.5 m/s
First the law of conservation of momentum,
(m1 + m2)*vf = m1*(vi)1 + m2*(vi)2
m1 = 450g
vi1 = 0
m2 = 450g
vi2 = 150 cm/s
(450 + 150)*vf = 0 + 450* 150
600*vf = 67500
vf = 112.5 cm/s = 112.5 m/s
An indicator of a periodic variable's change over a single period is its amplitude. When measured against a standard value, a non-periodic signal's amplitude is its magnitude. Amplitude has several definitions, all of which (listed below) depend on how much the extreme values of the variable deviate from one another. The amplitude of a periodic function is occasionally referred to as the phase in older writings. Peak amplitude is frequently employed in audio system measurements, telecommunications tests, and other applications where the measurand is a signal that oscillates above and below a reference value but is not sinusoidal. The greatest absolute value of the signal is this if the reference is zero; the mean value of the reference.
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The weight of a ball bearing, measured in milligrams, is an example of?
a. Categorical data.
b. Either categorical or quantitative data.
c. Neither categorical nor quantitative data.
d. Quantitative data.
The weight of the ball bearing measured in milligrams is an example of Quantitative data .
What is Quantitative Data ?
The Quantitative data is defined as the value of data in form of counts or numbers where each data set has unique numerical value .
Examples of Quantitative data are :
(1) Measurement of physical objects
(2) Counting the number of people in the class .
So , we can say that ,
Since the the weight of the ball bearing measured in milligram is a numerical quantity , it will be a quantitative data .
Therefore , the correct option is (d) .
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please click on the source of the point source light. position the cursor where the light emanates and click. do not worry if the target shows up elsewhere on the screen. just be sure to click from where the light source emanates.
Yellow is first positioned at the angle that is most apparent, which is 0° (90°). Black is then positioned at a 45° angle, making it the color that is most noticeable. Then, the cyan and magenta are sandwiched between these two.
Why do designers favor desktop publishers over word processors when creating documents?In comparison to word processors, desktop publishing systems are one step ahead because they give the user much more control over what will appear on the printed page and because they have specialized hardware and software, like page-makeup software, that aims to create a document that looks like the output.
Explain the definition of desktop publishing and PageMaker's function in it?Words and images are created in final pages through a process called desktop publishing (DTP).
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g two point charges q1 = 2.30 nc and q2 = -6.10 nc are 0.100 m apart. point a is midway between them; point b is 0.0800 m from q1 and 0.0600 m from q2 (figure 1). take the electric potential to be zero at infinity.for related problemsolving tips and strategies, you may want to view a video tutor solution of potential and potential energy.
The electric field is -641.25 volt, potential energy is -1.76x 10⁻³ J.
What is electric field ?
The term "electric field" or "electrostatic field" refers to the area surrounding an electric charge where stress or an electric force occur. A significant amount of tension might be produced in the area if the charge is of a big magnitude. The letter E is used to denote the electric field. Newtons per coulomb, or volts per metre, is the SI unit for the electric field.
What is potential energy ?
Potential energy is energy that is preserved or stored in a material or an item. The item or substance's position, organization, or condition determines the amount of stored energy. Consider it as energy with the "potential" to accomplish work.
Va = kq1/r1 + Kq2/r2
Va = 9 x 10/0.05 (2.3 x 10⁻⁹ – 6x 10⁹)
Va = -666 volt
Vb = 9x10⁹ (2.3x10⁻⁹/.08 – 6x10⁻⁹/.06)
Vb = -641.25 volt
Work done by electric field from b to a
W e = q(Vb-Va)
W e = 3x10⁻⁹ (-641.25+666)
W e = 74.25x10⁻⁹ J
W e = qEd = 30x 10⁻⁹x 3.2x10⁴x.63
W e = 6.05x10⁻⁴ J
W e = -qEd cos 45
W e = -30x10⁻⁹x3.2x10⁴x2.6 cos 45
W e = -1.76x 10⁻³ J
Therefore, electric field is -641.25 volt, potential energy is -1.76x 10⁻³ J.
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a 1600kg car is traveling over a hill that has a radius of curvature of 25m. the car is slowing down as it goes over the hill. it slows down at a constant rate from a speed of 25ms to a speed of 10ms over a distance of 50m ending at the top of the hill. the net acceleration of the car at the top of the hill is most nearly
a. 5.3 m/s/s.
b. 9.3 m/s/s.
c. 4.0 m/s/s.
d. 26 m/s/s.
e. 6.6 m/s/s.
The net acceleration of the car at the top of the hill is most nearly is option A. . 5.3 m/s²
Acceleration is the rate of trade of the velocity of an object with appreciation to time. Accelerations are vector portions. The orientation of an object's acceleration is given by using the orientation of the internet pressure performing on that item.
Calculation:-
V² = U² - 2aS
a = U²- V² / 2S
= 25² - 10² / 2 × 50
= 625 -100/100
= 525/100
= 5.25 m/s² ≈ 5.3 m/s²
Acceleration is the price at which speed modifications with time, in terms of every velocity and course. A thing or an item shifting in a instantly line is increased if it quickens or slows down. motion on a circle is extended despite the truth that the price is constant due to the fact the direction is usually changing.
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what is a hockey stick graph? name three metrics that would fit this description
A hockey stick graph is a graphical representation of data that has a steep increase or decrease at a certain point, resembling the shape of a hockey stick.
This type of graph is often used to show a sudden change in a metric over time. Three metrics that might fit this description are:
Population growth: The population of a city or country might increase slowly over time and then suddenly accelerate, forming a hockey stick shape on a graph.Sales revenue: A company's sales revenue might increase slowly at first and then suddenly spike up when a new product is introduced or a marketing campaign is launched.Internet usage: The use of the internet in a country or region might increase slowly over time and then suddenly accelerate as more people gain access to the internet.Other metrics that might fit this description include the adoption of a new technology, the spread of a disease, or the growth of a social media platform.
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interference occurs with not only light waves but also all frequencies of electromagnetic waves and all other types of waves, such as sound and water waves. suppose that your physics professor sets up two sound speakers in the front of your classroom and uses an electronic oscillator to produce sound waves of a single frequency. when she turns the oscillator on (take this to be its original setting), you and many students hear a loud tone while other students hear nothing. (the speed of sound in air is 340 m/s.)
Answer: Some of the students who originally heard a loud tone again hear a loud tone, but others in that group now hear nothing.
Explanation: When two sources emits identical soundwaves then there is interference of waves.
In region of constructive interference (When the peaks line up with peaks and troughs line up with troughs then resultant wave has twice the amplitude of the original waves) the sound wave will be twice as loud.
In destructive interference (When peaks line up to troughs then results in cancellation of waves, hence resultant have zero amplitude) there is no sound.
Please refer to the image:
Hence, the students who were sitting in the region of constructive interference heard loud tone while the students who were sitting in the region of destructive interference heard nothing.
current attempt in progress the term thermal radiation pertains to radiation emitted over the entire spectrum of electromagnetic radiation. at very long wavelengths. at intermediate wavelengths. at very short wavelengths. etextbook and media save for laterattempts: 0 of 2 usedsubmit answer
Thermal radiation is electromagnetic radiation emitted from all matter that is at a non-zero temperature in the wavelength range from 0.1 μm to 100 μm.
Thermal radiation is electromagnetic radiation emitted from a material this is because of the warmth of the material, the characteristics of which depend upon its temperature. An example of thermal radiation is the infrared radiation emitted with the aid of a commonplace family radiator or electric heater.
Thermal radiation is electromagnetic radiation generated by means of the thermal movement of debris in the matter. Thermal radiation is generated when warmth from the movement of costs in the fabric is transformed into electromagnetic radiation. All count number with a temperature extra than absolute zero emits thermal radiation.
The heating electricity is emitted by using the radiator. Solar radiation. The mild electricity radiated with the aid of incandescent lamps. The emission of gamma rays.
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A 1000 kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16 s, then the motor stops. The rocket altitude 20 s after launch is 4600 m. You can ignore any effects of air resistance.
a. What was the rocket's acceleration during the first 16 s?
b. What is the rocket's speed as it passes through a cloud 5100 m above the ground?
Define the high quality route because the route pointing upward. Denote the rocket's acceleration throughout the primary 16s as a. In the primary 16s, we have the rocket's acceleration during the first 16 s is 1254.4 a.
1) s = 0.5 (a-g) 16^2 = 128(a-g) = 128 (a-9.8) = 128 a - 1254.4.When t = 16s, the rate is v1 = 16(a-g) considering the fact that a-g = (v1-0)/16. So withinside the subsequent 4s, we have2) 4200 - s = 0.5 (-g) 4^2 + 16(a-g) (4) = -8g + 64(a-g) = 64a -72g = 64a - 72(9.8) = 64a - 705.6.To resolve for the acceleration a, upload up 1) and 2),s + (4200-s) = 128a - 1254.4 + 64a - 705.6.Simplify,4200 = 192a - 1960.192a = 4200 + 1960 = 6160.a = 6160/192 = 32.08333 (m/s^2).The solution is 32.08333 m/s^2.Read more about Weight ;
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Parallel rays of monochromatic light with wavelength 573 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm.If the intensity at the center of the central maximum is 4.90×10−4 W/m2 , what is the intensity at a point on the screen that is 0.710 mm from the center of the central maximum?
Express your answer to three significant figures and include the appropriate units.
From three significant figures, the intensity at a point on the screen 0.830mm from the center of the central maximum is I = 8.64 × 10⁻⁶ W/m².
And the appropriate units are [tex]Watts/meter^{2}[/tex].
Monochromatic Light:
Single-wavelength light sources are known as monochromatic lights, where mono stands for only one and chroma for color. Monochromatic lights are defined as visible light that falls within a specific range of wavelengths. It has a wavelength that falls within a constrained wavelength range.
Given,
The wavelength of light; λ = 573 nm = 573 × 10⁻⁹ m
Distance of interference from slits; R = 75 cm = .75 m
Distance between the centers of slit; d = 0.640 mm = 0.00064 m
Width of each slit; a = 0.434 mm = 0.000434 m
Intensity at the central maxima; [tex]I_{o}[/tex] = 4.9 × 10⁻⁴ W/m²
Distance of intensity from the center of the central maximum; y = 0.710 mm = 0.00071 m
Let us first find the angle θ from the formula;
tanθ = y/R
tan θ = 0.00083/0.75
tan θ = 0.001107
θ = tan⁻¹0.001107
θ = 0.06343
θ is very small so
∅ = 2πdsinθ/λ
∅ = 7.7964 rad
Similarly, for the distance between the centers of the slit;
β = 2πasinθ/λ
β = 5.761 rad
For a position on the screen that is 0.830 millimeters from the center of the central maximum, the intensity is calculated as follows:
[tex]I =I_{0}(cos^{2} \frac{\phi}{2} ) [\frac{sin\frac{\beta }{2} }{\frac{\beta }2}} ]^{2}[/tex]
[tex]I=5*10^{-4}(cos^{2}(\frac{7.7964}{2} ) )[\frac{sin\frac{5.287}{2} }{\frac{5.287}{2}} ] ^{2}[/tex]
I = 8.6 × 10⁻⁶ W/m²
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Consider the arrangement of two fixed point charges, equal in magnitude, shown in the figure. Which of the following statements arc correct for the initial motion of a third charge if it is released from rest in the vicinity of the two charges shown? A positive charge at point d will accelerate up. A positive charge at point b will accelerate up. A negative charge at point c will accelerate up. A positive charge at point a will accelerate toward the lower-left. A negative charge at point c will accelerate toward the lower-right.
The option (B and C) are true others are false.
What is acceleration ?
Acceleration is the rate at which velocity changes, as well as how quickly velocity changes over time. instantaneous acceleration is an acceleration at a single moment instantaneous acceleration divided by time deceleration
What is motion ?
The movement of atomic or molecular building blocks in a certain direction is referred to as molecular motion. Temperature and heat both have an impact on molecular mobility. This is so because the measurement of temperature, which reflects molecular motion and average kinetic energy, is used to determine molecular motion.
A is false; a positive charge at point d will be attracted to the nearby negative more than it is repelled by the more distance positive.
B is true
C is true
D is false; the dipole field at point a is directed up (it curves from the lower positive charge to the upper negative one, but is directly upward here) so the charge will initially accelerate up
E is false; similar to question D, the field is up at point c so the negative charge will accelerate initially straight down.
Therefore, the option (B and C) are true others are false.
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A hockey puck attached to a horizontal spring oscillates on a
frictionless, horizontal surface. The spring has force constant 4.50 N/m and the oscillation period is 1.20 s. (a) What is the mass of the puck? (b) During an oscillation, the acceleration of the puck has maximum magnitude 1.20 m/s^2. What is the amplitude of the oscillation?
Answers:
(a) 0.164 kg
(b) 0.0438 m = 4.38 cm
(a) The mass of the puck is 0.16 kg
(b) The amplitude of the oscillation is 4.3 cm.
What is the mass of the puck?The mass of the puck is calculated by applying the formula for the period of the oscillation.
T = 2π √ ( m /k )
T / 2π = √ ( m /k )
T² / 4π² = m/k
m = k ( T² / 4π² )
where;
k is the spring constantT is the period of oscillationm is mass of the puckThe mass of the puck is calculated as;
m = 4.5 ( 1.2² / 4π²)
m = 0.16 kg
The amplitude of the oscillation is calculated as follows;
a = ω²A
where;
ω is the angular frequencyA is the amplitude a is the maximum accelerationω = √ ( k /m )
ω² = k / m
from this equation "a = ω²A" make amplitude "A" the subject of the formula.
A = a / ω²
A = (a) / (k / m)
A = ( 1.2 ) / ( 4.5 / 0.16)
A = (1.2) / ( 0.03556)
A = 0.043 m = 4.3 cm
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The vapor pressure of liquid ethanol, C2H5OH, is 100. mm Hg at 308 K.
A sample of C2H5OH is placed in a closed, evacuated 529 mL container at a temperature of 308 K. It is found that all of the C2H5OH is in the vapor phase and that the pressure is 67.0 mm Hg. If the volume of the container is reduced to 344 mL at constant temperature, which of the following statements are correct?
Choose all that apply.
a. The pressure in the container will be 103 mm Hg.
b. Some of the vapor initially present will condense.
c. Liquid ethanol will be present.
d. Only ethanol vapor will be present.
e. No condensation will occur.
B
The statements that apply are;
The pressure in the container will be 103 mm Hg. Some of the vapor initially present will condense.Liquid ethanol will be present.What is the new pressure?We know that the pressure can be taken as the force with which the molecules of the substance are able to hit the walls of the container in this case, we need to obtain the pressure of the ethanol vapor when the volume has been reduced.
Using
P1 = initial pressure
P2 = final pressure
V 1 = initial volume
V2 = final volume
By the use of the Boyle's law we have;
P1V1 = P2V2
P2 = P1V1 /V2
P2 = 67.0 * 529/344
P2 = 103 mmHg
Thus, as the volume is reduced there would be an increase in the pressure and some of the ethanol would condense and we would have liquid ethanol in the system.
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three identical rocks are launched with identical speeds from the top of a platform of height 0 h . the rocks are launched in the directions indicated above. question which of the following correctly relates the magnitude vy of the vertical component of the velocity of each rock immediately before it hits the ground?
The magnitude of the vertical velocity under gravity changes by approximately 9.81 m/s each second, The option that correctly relates the magnitude, , of the vertical velocity is the option: (vy1=vy1)≥vy3.
The speed of rocks = u
The height the rocks are thrown = h₀
Rock 1; Direction = horizontal above the 45°
Rock 2; Direction =horizontal below45°
Rock 3; Direction = 0° or in the horizontal direction
The vertical component of Rock 1= -u·sin(45°)
Vertical component of Rock 2 = u·sin(45°)
Vertical component of Rock 3 = u·sin(0°) = 0
The velocity of the rock
v² = u² - 2·g·h₀
v= ±√u2-2.g.h0
v= ±√u2-2.g.h0
Therefore, the vertical velocity the rocks, Rock 1 and Rock 2, thrown with magnitude of velocity,|vy|=|u.sin45°| is the same during the vertical motion of the ball at the same height, but change only in sign
at given height h°, vy1=vy2
therefore , before the rocks hit the ground , vy1=vy2
the initial vertical velocity of rocks3, vy3=0,therefore:
∴ vy3=±√v+2.g.h°≤√u²+2.g.h°= (vy1= vy1
there fore , the correct option , we have:
vy1=vy1≥vy3
three identical rocks are launched with identical speeds from the top of a platform of height 0 h . the rocks are launched in the directions indicated above. question which of the following correctly relates the magnitude vy of the vertical component of the velocity of each rock immediately before it hits the ground?
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a parallel-plate capacitor is charged to a total charge q and the battery is removed. a slab of material with dielectric constant k is inserted between the plates. the energy stored in the capacitor 1) increases 2) decreases 3) stays the same
When a dielectric slab is placed between a parallel-plate capacitor energy stored in it will decrease.
The parallel plate capacitor is a device that uses two parallel plates connected across a battery to create an electric field between them. Before the dielectric breaks down, a parallel plate capacitor can only hold a certain amount of energy. Draw a parallel plate capacitor and a slab with dielectric constant K between this capacitor. In capacitors, the energy stored is given by the formula U = 1/2 CV² where C is the capacitance and V is the potential difference. From this formula, we can tell that U is directly proportional to V. When V decreases, U also decreases. This is because dielectric reduces the electric field between the plates and decreases the energy stored in the field. Therefore, the option is 2) decreases.
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which of the following sets of conditions is true for an exothermic reaction that is spontaneous at all temperatures?
An exothermic reaction that is spontaneous at any temperature meets the following criteria. ∆H < 0 , ∆S > 0 , ∆G < 0
This is because G = H - T S, and since -T S is always negative, if H is negative and S is positive, then G will always be negative.
Exothermic reactions (H0) characterize combustion. Due to the additional rise in the amount of gaseous species (net gain of one mole of gas, S > 0), this specific reaction entails an increase in entropy. As a result, the reaction is spontaneous (G0) at all temperatures. The sign of G will always be negative when H is negative and S is positive, and the reaction will always be spontaneous at all temperatures.
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complete question: Which of the following sets of conditions is true for an exothermic reaction that is spontaneous at all temperatures?
(a)∆H < 0 , ∆S < 0 , ∆G < 0
(b)∆H > 0 , ∆S < 0 , ∆G < 0
(c)∆H < 0 , ∆S < 0 , ∆G > 0
(d)∆H > 0 , ∆S < 0 , ∆G < 0
(e)∆H < 0 , ∆S > 0 , ∆G < 0