The balanced nuclear equation for the formation of polonium-215 through alpha decay is:
[tex]At_{211} +4He - > Po_{ 215}+ 2 n[/tex]
Polonium-215 is an isotope of the element polonium that is formed through alpha decay. In alpha decay, a parent atom loses an alpha particle, which is a helium nucleus, to form a daughter atom. In the case of polonium-215, the parent atom is astatine-211, which loses an alpha particle (4He) to form polonium-215 (215Po) and also two neutrons (2n). The process is represented by the equation 211At + 4He → 215Po + 2n. This equation shows that the total atomic number and mass number are conserved on both sides of the equation. It's important to note that alpha decay is one of the common types of decay in the heavy elements but not all elements can decay by alpha emission.
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The three wave pulses in (Figure 1) travel along the same stretched string. Part A Rank in order, from largest to smallest, their wave speeds va, Ub, and U. To rank items as equivalent, overlap them.
The wave velocity depends on the tension in the string and the mass per unit length of the string.
These two variables he remains the same for all three strings, so the speed is equal. Va = Vb = Vc
What is the wave speed?Wave speed commonly refers to velocity, but velocity actually means both speed and direction. A wave's velocity is equal to its wavelength times its frequency (the number of oscillations per second) and is independent of its intensity.
Why is wave speed important?Wave velocity is an important parameter that can accurately describe the mechanical properties of rocks.
What does wave speed depend on?The speed of a wave is independent of time and the source of the wave, but the speed of a wave depends on the wavelength of the wave propagating in a particular medium. Wave speed depends on the medium used.
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Answer the question in the screenshot.
The flow of something like the induced current flow in the above condition is clockwise.
Describe current flow.Current represents the movement of electrons, despite the fact that current & hydrogen flow in the opposite directions. Current flows from positively to negative while electrons travel from negative to positive. Current is the amount of atoms that move through the cross - sectional area of a conductor in a second.
What causes current to flow?Free electrons are transported between atoms by the electromagnetic charges known as voltage. Similar to how water is driven through a conduit, alternating energy needs to be made to flow. Volts are the measure of "electricity pressure," which causes electric current. Actually, electrons would pass the cables here in the opposite way.
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A 9.00 kg bomb mass is sitting stationary. The bomb explodes and M1 (3kg) moving to the left with a velocity of
140 ms (v₁). The remaining portion flys to the right. Determine the v2 (velocity) it flys off with
A 9 kg explosive detonates into two fragments, each weighing 3 kg and 6 kg. The kinetic energy of mass 6 kg is 1.92 J, and the velocity of mass 3 kg is 1.6 m/s.
What is meant by velocity?The rate at which an object's position changes as perceived from a particular point of view and as measured by a certain unit of time is determined by its velocity, which can be expressed as, for instance, 60 km/h northbound. Quickness of motion or activity is known as velocity. Speed is a shorter term and a synonym for celerity. The term "velocity" in physics especially refers to the measurement of an object's rate and direction of positional change.The vector quantity velocity (v), denoted by the equation v = Δs/Δt, quantifies displacement (or change in position, s), over change in time (t).Therefore,
The total momentum of the bomb is unchanged before and after the explosion thanks to the conservation of linear momentum.
0 = 3 × 1.6 + 6v
v = 0.8 m/s
Kinetic energy of mass 6 kg is:
1/2 mv² = 1/2 × 6 × 0.8²
= 1.92 J
Hence, the correct option is c) 1.92J
The complete question is:
A bomb of mass 9kg explodes into 2 pieces of mass 3kg and 6kg. The velocity of mass 3kg is 1.6m/s, the kinetic energy of mass 6kg is :
A) 3.84J
B) 9.6J
C) 1.92J
D) 2.92J
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Which statement describes an unanticipated impact of a technological advance?
• A. Artificial neural networks have been developed to allow doctors to diagnose patients more quickly and accurately.
• B. The nonnative plant kudzu was brought to the United States in order to curb erosion, but it destroys native plants.
• C. Continued research and development has produced white LED lights that have gradually replaced traditional fluorescent and incandescent bulbs.
• D. The development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.
The statement that describes an unanticipated impact of a technological is that the development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.
What are antibiotics?An antibiotic is a type of antimicrobial substance active against bacteria which is the most important type of antibacterial agent for fighting bacterial infections, and antibiotic medications are widely used in the treatment and prevention of such infections.
Antibiotics are not effective against viral infections and this includes the common cold, flu, most coughs and sore throats.
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The radius of Jupiter is 11 times that of Earth and the free fall
acceleration near its surface is 2.5 times that on earth. If we someday put
a spacecraft in low Jupiter orbit, its orbital speed will be :
a. greater than that for an Earth satellite (Assume low orbit)
b. same as that for an Earth satellite (Assume low orbit)
c. Less than that for an Earth satellite (Assume low orbit)
If we someday put a spacecraft in low Jupiter orbit, its orbital speed will be greater than that for an Earth satellite.
What is orbital speed?The orbital speed of an astronomical body or object in a gravitationally bound system is its speed with respect to the most massive body's center of mass, or the barycenter.
Orbital speed is ≈ √(gR) for low orbit. As the radius of Jupiter is 11 times that of Earth and the free fall acceleration near its surface is 2.5 times that on earth, the orbital speed of a spacecraft in low Jupiter orbit will be greater than that for an Earth satellite.
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estimate the length of the unit cell edge, a, from the atomic radius of aluminum (1.43 å).
For the FCC lattice, the relationship between edge length (a) and atom radius (r) is ( 2a) = 4r.
F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges, is how Euler's formula is expressed. According to Euler's formula, the number of faces plus the number of vertices minus the number of vertices equals two for many solid shapes. Length: 0.20 to 14.20 meters, trimmed per request of customs. Wall Thickness Requirement: 0.4 mm. Circumscribed Circle Diameter 300 mm, maximum dimensions. Workability: Simple to machine, cut, and weld.
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How far can you move a 10kg object with an acceleration of 3m/s when you use 6 N of
work?
The object can be moved 0.2 meters with the given work and acceleration.
What is work?
We can use the work-energy principle to solve the problem:
work done = change in kinetic energy
The work done on the object is given by:
work done = force x distance x cos(theta)
where theta is the angle between the direction of force and the direction of motion. In this case, theta is not given, so we assume it to be zero (i.e., force is in the same direction as the displacement).
Therefore, we have:
work done = force x distance
Rearranging, we get:
distance = work done / force
Substituting the given values, we get:
distance = 6 N / 10 kg x 3 m/s = 0.2 meters
Therefore, the object can be moved 0.2 meters with the given work and acceleration.
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Complete question is: A 10kg object with an acceleration of 3m/s when you use 6 N of work can be moved 0.2 meter .
A small cube of mass m slides back and forth in a frictionless hemispherical bowl of radius R. The position of the cube is defined by the angle it is moved around the edge of the bowl starting from the bottom of the bowl. Suppose the cube is raised to an angle θ and released. What is the cube’s speed at the bottom of the bowl? Your solution must include labelled diagrams (initial and final) of the problem.
Your solution must address the following questions:
i. What is your definition for the system for this problem?
ii. Is any external work done on the system?
iii. What is the main principle or concept used to solve this problem?
iv. Discuss how this problem could be solved by using Newton’s laws, what problems are encountered?
The cube slides back and forth in a frictionless hemispherical bowl of radius R. When the cube is raised to an angle θ and released, the conservation of energy is applied to calculate the cube’s speed at the bottom of the bowl.
i. The system for this problem is the small cube of mass m and the hemispherical bowl of radius R.
ii. No external work is done on the system.
iii. The main principle or concept used to solve this problem is the conservation of energy.
iv. This problem can be solved by using Newton’s laws. The cube is initially at rest and is raised to an angle θ. Since the bowl is frictionless, the force of gravity is the only force acting on the cube, so the net force on the cube is zero. This means that the cube’s momentum is constant. Since the cube is at rest initially, its initial momentum is zero. As it is raised to an angle θ, it gains gravitational potential energy. At the bottom of the bowl, the cube’s gravitational potential energy is converted to kinetic energy, so the cube’s speed is equal to its kinetic energy divided by its mass (m). This means that the cube’s speed at the bottom of the bowl is:
Speed = (m * g * h) / m
where h is the height of the bowl.
The cube slides back and forth in a frictionless hemispherical bowl of radius R. When the cube is raised to an angle θ and released, the conservation of energy is applied to calculate the cube’s speed at the bottom of the bowl. The cube’s speed is found by dividing the cube’s gravitational potential energy by its mass.
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11.The coefficients of static and kinetic friction for wood on wood are .5 and .3 respectively.
If a 100 N wooden box is pushed across a horizontal wooden floor with just enough force
to overcome the force of static friction, its acceleration is
a) .2 m/s²
b) .5 m/s²
c) 2 m/s²
d) 5 m/s²
Answer: a).5 m/s2
Explanation:
Suppose an amateur astronomer discovers an asteroid that is moving at a speed of about 8 km/sec. She estimates that it must be about 13.5 AU from the Sun. Based on your graph, does the pattern of planetary speeds and distance support, or fail to support, her estimated distance?
Answer:
about 1.4 billion km or 870 million mi
Explanation:
I don't know for sure
its due rn pls and thank you
The answers include the following:
Earth is currently in a interglacial period - False.Atmospheric composition has remained constant throughout earth's history - FalseClimate has changed naturally over Earth's history - TrueThe increase in carbon dioxide since the year 1860 is similar to past increases - False.What is Climate?
This is referred to as the average weather condition in a given area over a longer period of time and it is dependent on different factors.
Climate has changed naturally over Earth's history as a result of burning of the fossil fuels like coal, oil and gas which is therefore the reason why true was chosen as the correct choice.
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which word best describes the motion of a liquid atom
Answer:
Classical Brownian motion
Explanation:
In liquids, particles are quite close together and move with random motion throughout the container. Particles move rapidly in all directions but collide with each other more frequently than in gases due to shorter distances between particles.
The term “classical Brownian motion” describes the random movement of microscopic particles suspended in a liquid or gas.
Which way does the electric field point around the positive terminal of an alkaline battery?
The electric field points away from the positive terminal's surface is does the electric field point around the positive terminal of an alkaline battery.
What is electric field ?
The electric field is defined mathematically as a vector field that can be associated with each point in space, the force per unit charge exerted on a positive test charge at rest at that point.
The electric field is generated by the electric charge or by time-varying magnetic fields. In the case of atomic scale, the electric field is responsible for the attractive forces between the atomic nucleus and electrons which hold them together.
What is battery ?
An electrochemical oxidation-reduction (redox) reaction is used in batteries to directly transfer the chemical energy found in their active components into electric energy. Electrons are moved from one material to another via an electric circuit in this kind of reaction.
Therefore, the electric field points away from the positive terminal's surface is does the electric field point around the positive terminal of an alkaline battery.
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In terms of L. find an expression for the distance xm for which the period is a minimum. Expression : Xm_______________________________
The expression for the distance xm for which the period is a minimum is given by xm = (2πL)/n, where n is an integer greater than or equal to 2.
What does Distance XM mean?
Distance xm refers to a distance measurement in meters. For example, if you see "Distance 500m," this means 500 meters.
Distance xm is also sometimes used to refer to a distance measurement in miles. For example, if you see "Distance 500m," this could mean 500 miles.
What do you mean by Integer and where is it used?
A whole number (not a fraction) that can be positive, negative, or zero is referred to as an integer. Integers include the numbers -5, 0, 1, 5, and 10. In many areas of mathematics, such as counting, measuring, and calculating, integers are used. They're also used in computer programming, where they're known as data types. Temperatures, dates, times, and money are examples of real-world values represented by integers.
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A velocity selector is to be constructed using a magnetic field in the positive y direction. If positively charged particles move through the selector in the positive z direction, what must be the direction of the electric field? Repeat for the case of negatively charged particles.
Answer:
you are crazy
Explanation:
a car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57 degrees north of east. relative to the origin, what is the car’s final location? in degrees.
A automobile travels 1.25 kilometres south after leaving the starting point, and then 8.75 kilometres north of east. What is the vehicle's final position in relation to its starting point?
What is the final speed of a car once it starts?When an automobile begins moving, its starting velocity is zero. A projectile will have a greater starting velocity if it is thrown into the area. The starting velocity will be greater than zero if an automobile stops after pressing the brake, but the end velocity will indeed be zero.
What does displacement measure in?The metre is the Iso System of Units' (SI) accepted unit of displacement (m). In most cases, displacement is measured or described along a single direction.
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what would be the momentum of an object if it were moving at the speed of light?
There would be endless momentum. The object's momentum would be unlimited at the speed of light, therefore getting it there would take an infinite impulse.
An infinite impulse would require either an infinite force or an endless time (our time, not the time of the object), as impulse is defined as force times time.
The mass of an object would become infinite if it ever managed to travel at the speed of light. The energy needed to move the object would then have to be limitless, which is impossible. The principles of physics state that as we get closer to traveling at light speed, it takes more and more energy to move an object. You would require a limitless supply of energy, which is not conceivable, in order to travel at the speed of light.
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A 32.2 kg child slides down a long slide in a playground. She starts from rest at a height h1 of 24.3 m. When she is partway down the slide, at a height h2 of 7.70 m, she is moving at a speed of 1.60 m/s. Calculate the mechanical energy lost due to friction (as heat, etc...) between h1 and h2.
The mechanical energy lost due to friction between h1 and h2 is 5,323.2 J
What is mechanical energy?Mechanical energy is the sum of the potential energy and kinetic energy possessed by an object due to its motion and position. It is energy that is associated with the motion and position of an object. It is often associated with machines and other moving objects, as their components have energy due to the work done to move them.
The mechanical energy of the child can be calculated using the following equation:
Mechanical Energy = mgh
where m is the mass of the child, g is the acceleration due to gravity, and h is the height.
The initial mechanical energy of the child at h1 is:
E1 = 32.2 kg * 9.81 m/s2 * 24.3 m = 7,722.3 J
The final mechanical energy of the child at h2 is:
E2 = 32.2 kg * 9.81 m/s2 * 7.7 m = 2,399.1 J
Therefore, the mechanical energy lost due to friction between h1 and h2 is: E Lost = 7,722.3 J - 2,399.1 J = 5,323.2 J
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Frank’s power output to climb a set of stairs in 6 seconds is 400 W. How much word dis he do
The work done in 6 seconds is 66.66J oules.
Power, Work, and TimeWork is defined as the energy transferred to or from an object by applying force along a displacement. In its most basic form, work equals the product of force strength and distance traveled for a constant force aligned with the direction of motion.
Given Data
Time = 6 seconds
Power output = 400W
We know that the expression for power is given as
Power = Work*Time
Substituting our given data in the expression for power have
400 = Work*6
Making work subject of formula we have
Work = 400/6
Work = 66.66 Joules
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while the penumbra of a sunspot can "grow" and become bigger. What do you think this means? What is the significance of it for us on Earth
The significance is that the area around the sunspot is becoming darker and larger.
What are sunspot and why do they occur?
Sunspots are dark, cooler regions on the surface of the sun that appear dark in contrast to the surrounding brighter regions. They are caused by intense magnetic activity that impairs the flow of heat and energy from the sun's interior. Sunspots are most commonly found near the poles of the sun, and can vary in size from just a few hundred to many thousands of kilometers in diameter. Sunspots can last for days, weeks, or even months depending on their size and activity.
This is significant for us on Earth because sunspots are associated with increased solar activity, which can lead to changes in Earth’s magnetic fields. This can cause geomagnetic storms and additional radiation reaching Earth’s surface, which can disrupt power grids, radio transmissions, and other electronic systems.
Therefore, the sunspot is becoming darker and larger.
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You throw a baseball forward at 10 m/s, and it is in the air for 3 seconds. What distance did you throw the ball?
A.3.3 meters
B.13 meters
C.30 meters
D.10 meters
Answer:
C.30 meters
Explanation:
m = meters
s = seconds
10 m/s = 10 meters/second
3 seconds * 10 meters/second =
3 seconds * 10 meters / 1 second =
3 * 10 meters/1 = ==> cancel the seconds unit
3 * 10 meters = ==> simplify
30 meters
given the following frequency distribution, how many pieces of data were less than 28.5?
The 25 pieces of data were less than 28.5.
What is frequency ?
The quantity of waves that pass a fixed place in a unit of time is referred to as frequency in physics. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given amount of time.
What is data ?
In physics, organising and analysing experimental data is done to provide evidence for a theory or hypothesis. It is an important step in the scientific method and requires students to demonstrate high levels of expertise in key scientific skills.
From given table,
Take sum of frequencies up to class 23.5-28.8,
F = 4 + 9 + 12 = 25.
The number of pieces of the data were less than 28.5 is : 25.
Therefore, 25 pieces of data were less than 28.5.
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two premises and a conclusion
The two premises and a conclusion are:
Premise 1: All birds can fly.
Premise 2: Eagles are birds.
Conclusion: Eagles can fly.
Premise 1: All living things need oxygen to survive.
Premise 2: Fish are living things.
Conclusion: Fish need oxygen to survive.
Premise 1: All fruits are high in vitamins.
Premise 2: Apples are fruits.
Conclusion: Apples are high in vitamins.
What are the premise about?These are examples of a logical argument that uses two premises, which are statements or propositions, as the basis for drawing a conclusion.
Therefore, In each example, the conclusion is a logical deduction based on the information provided in the premises. The first one is an example of an argument that uses the generalization and identification, the second one is an example of argument that uses the classification, and the third one is an example of argument that uses the definition.
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See full question below
give an example of two premises and a conclusion
A combination of series and parallel connections of capacitors is depicted in the figure. Randomized Variables C1=18 HF C2= 6.09 UF C3= 1.85 UF
The combined effect of the capacitor network can be determined by combining the individual capacitances of the capacitors in either a series or parallel configuration.
What is capacitor?A capacitor is an electrical device used to store energy in the form of an electric field. It consists of two metal plates separated by an insulating material (dielectric) and is commonly used in both AC and DC circuits. The ability of a capacitor to store and release energy quickly can be used to regulate the current in a circuit and to filter out unwanted signals. Capacitors can also be used to smooth out voltage spikes and to provide a reserve power source.
When capacitors are combined in series, the total capacitance of the circuit is the reciprocal of the sum of the reciprocals of each capacitor:
1/Ct = 1/C1 + 1/C2 + 1/C3
In this example, the total capacitance of the circuit is 0.41 UF. When capacitors are combined in parallel, the total capacitance of the circuit is the sum of the individual capacitances:
Ct = C1 + C2 + C3
In this example, the total capacitance of the circuit is 25.94 UF. This combination of capacitors can be used in various circuits to reduce the total capacitance of the network. For example, in low-pass filter circuits, the total capacitance of the network is reduced by using a combination of series and parallel connections of capacitors. This reduces the time constant of the circuit, which can be used to adjust the cut-off frequency of the filter. Additionally, this combination of capacitors can be used in power supply circuits to reduce the ripple voltage, which is the alternating current component of the voltage output.
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10. A 6.0 kg block rests on top of a 7.0 kg block, which rests on a horizontal table. a. What is the force (magnitude and direction) exerted by the 7.0 kg block on the 6.0 kg block? b. What is the force (magnitude and direction) exerted by the 6.0 kg block on the 7.0 kg block?
Answer:
Below
Explanation:
The 7 kg block is pushing UP on the 6kg block to keep it from falling
force = ma = 6 kg * 9.81 m/s = 58.9 N
The 6 kg block is pushing DOWN on the 7 kg block with an equal but opposite force 58.9 N
A two-slit experiment with red light produces a set of bright fringes. (a) Will the spacing between the fringes increase, decrease, or stay the same if the color of the light is changed to blue? (b) Choose the best explanation from among the following:
I. The spacing between the fringes will increase because blue light has a greater frequency than red light.
II. The fringe spacing decreases because blue light has a shorter wavelength than red light.
III. Only the wave property of light is important in producing the fringes, not the color of the light. Therefore the spacing stays the same
a) The spacing between the fringes will decrease if the color of the light is changed to blue.
b) II. The fringe spacing decreases because blue light has a shorter wavelength than red light.
The two-slit experiment is a fundamental experiment in wave optics that demonstrates the wave-like behavior of light. When a beam of light is shone through two small slits, it produces a diffraction pattern on a screen behind the slits. This pattern consists of a series of bright and dark fringes, which are caused by the interference of the light waves passing through the two slits.
Answer to (a) is that, if the color of the light is changed to blue, the spacing between the fringes will decrease. This is because the spacing between the fringes is inversely proportional to the wavelength of the light, and blue light has a shorter wavelength than red light.
As for the reason behind it, the best explanation is (b) II. The fringe spacing decreases because blue light has a shorter wavelength than red light. The wave property of light is important in producing the fringes, and the color of the light does play a role in the spacing of fringes, which is why the spacing decreases when the color of the light is changed to blue.
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What is the component of A?
Express your answer to the nearest integer.
Ax=
Answer:
3
Explanation:
Are you looking just for the x-component of vector A? If so, the answer is:
3
Go from the tip of the vector A arrow straight down to the x axis
If planet A and B are both circling around star A and A completes an orbit in 2 days
while B needs 10 days, then what is the radius of B's orbit if that of A is 3.0 x 108 m (in
meters)?
The radius of B planet is 8.7 x 10^8m calculated based on the Kepler's third law.
Why is the third law of Kepler significant?The square of a planet's period of revolution around the sun in an elliptical orbit is precisely proportional to the cube of its semi-major axis, according to Kepler's law of periods. A planet's orbits around the sun are accurately described by Kepler's third law in terms of their period and distance.
Kepler's third law:
(TB/TA)^2 = (RB/RA)^3
TB and TA are time taken for B and A respectively.
RB and RA are radius of B and A respectively.
(10/2)^2= (RB^3/27 x 10^24)
RB => 8.7 x 10^8 m
What is the prerequisite for Kepler's third law?In fact, the total mass of the two bodies involved affects the constant in Kepler's Third Law. Kepler himself dealt only with the Sun-plus-planet 2-body system while researching the motion of the planets around the Sun.
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By measurement you determine that sound waves are spreading out equally in all directions from a point source and that the intensity is 0.026W/m^2 at a distance of 4.3 m from the source. (a) What is the intensity at a distance of 3.1 m from the source? (b) How much sound energy does the source emit in one hour if its power output remains constant?
a) The intensity at a distance of 3.1 m from the source is 0.00369W/m².
b) 92.8 Ws energy does the source emit in one hour if its power output remains constant.
What is distance ?
Distance is the measure of the space between two points. It can be expressed in a variety of ways, such as kilometers, miles, or even light-years. Distance is an important concept in many areas of mathematics, science, and technology, as it is used to measure the size and/or separation of objects.
a) The intensity of the sound waves at a distance of 3.1 m from the source can be determined using the inverse square law: I = I₀/d²
where I₀ is the initial intensity and d is the distance from the source.
Therefore, the intensity of the sound waves at a distance of 3.1 m from the source is: I = 0.026W/m² / (3.1 m)² = 0.00369W/m²
b) The sound energy emitted by the source in one hour can be calculated using the following equation: E = P × t
where P is the power output of the source and t is the duration of time.
Therefore, the sound energy emitted by the source in one hour is:
E = 0.026 W/m² × 3600 s = 92.8 Ws
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A series RLC circuit consists of a 280 ohm resistor, a 25 mH inductor, and a 18 mu F capacitor. What is the rms current if the emf is supplied by a standard 120V, 60 Hz wall outlet? Express your answer to two significant figures and include the appropriate units.
V' = 61.8 Volts is the rms current if the emf is supplied by a standard 120V, 60 Hz wall outlet.
What is called circuit?A circuit in electronics is a full circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent channel through which electricity, data, or a signal can pass.
R = resistance of the resistor = 280 Ω
C = capacitance of the capacitor = 18 μF = 18 x 10⁻⁶ F
L = Inductance of the inductor = 25 mH = 0.025 H
f = frequency = 60 Hz
Capacitive reactance is given as
X = (2πfC)⁻¹
X = (2(3.14) (60) (18 x 10⁻⁶))⁻¹
X = 147.4 Ω
Inductive reactance is given as
X' = 2πfL
X' = 2(3.14) (60) (0.025)
X' = 9.42 Ω
Impedance of the circuit is given as
z = √(R² + (X' - X)²)
z = √(280² + (9.42 - 147.4)²)
z = 59.32 Ω
V
= rms emf of the source
= 240 Volts
rms voltage across the inductor is given as
V' = V z⁻¹ X'
V' = (120) (59.32)⁻¹ (9.42)
V' = 61.8 Volts
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