The average salinity in the deep cold zone increases with depth. The average temperature in the deep cold zone decreases with depth.
Salinity in the ocean is how much salt is in ocean water. Near the surface, the salinity could change.
Salinity will decrease after rainfall.Salinity will increase after evaporation on a sunny day.Sunlight can affect the temperature of the water. But only about 200 m from the surface. Below 200 m, the sunlight cannot get through.
According to hydrostatic pressure, as deeper as the ocean, the pressure increase. When the pressure increase, the temperature will decrease.
In the deep cold zone, there is a water current called thermohaline circulation which carries colder and saltier water to the deeper parts of the ocean. This circulation makes in the deep cold zone the temperature decrease and the salinity increase.
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compare and contrast a current through a circuit with a static discharge. true or false: for the circuit, the charge travels through a wire. for a static discharge, the charge is transferred from one object to another.
Electrons flow continuously through a circuit when current is present.
A static discharge is a very quick, irregular transfer of charge.
Static discharge is the abrupt movement of electrons from one charged object to another.
Static discharge is the abrupt passage of electrons. The spark you see and the jolt you experience are both caused by an electron discharge.
For the circuit, the charge travels through a wire.-True
For a static discharge, the charge is transferred from one object to another.-True
What is charge?The basic unit of electricity is charge (or, more precisely, electric charge).
Everything in electricity is a charge.
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.
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To make the pattern bigger and easier to see, should you move the slide closer tothe screen or closer to the laser? Explain. Be sure to comment on what variableschange (e.g. wavelength, angles to the minima, distance to the screen, position ofthe minima, etc.)
So moving the slit towards the laser will increase the slit and screen distance and the screen and the fringe will be bigger. The other factors such as the angle of diffraction, and wavelength will remain unaltered in this case.
What is Diffraction?
In order to enter the region of the geometric shadow cast by the obstruction or aperture, waves must interact with one another or bend around its edges, which is referred to as diffraction. A secondary source of the wave that is propagating is in fact created by the diffracting item or aperture.
What is Fringe?
The band of alternating light and dark material called a fringe is produced via interference.
The formula is used to calculate the fringe width
β=λDd
Where β represents the bandwidth, λ represents the wavelength of the light, D represents the distance between the source and the screen, d represents the distance between the two slits
Hence, moving the slit towards the laser will increase the slit and screen distance and the screen and the fringe will be bigger. The other factors such as the angle of diffraction, and wavelength will remain unaltered in this case.
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determine the number of conducting electrons per cubic meter for copper, given that its electron mobility is 3 × 10-3 m2/v-s.
Given that copper's electron mobility is 3 10-3 m2/v-s, there are 1.20 × 10⁷ conducting electrons per cubic meter in copper.
What is electron mobility?The mobility of holes and electrons in semiconductors and metals is the subject of this essay. See Electrical mobility for a broad explanation. The electron mobility in solid-state physics refers to how quickly an electron may move through with a metal or semiconductors when being drawn by an electric field. Hole mobility is the corresponding quantity for holes. Both electron / hole mobility are collectively referred to as carrier mobility. The electrical mobility if charge particles in a fluid under such an applied electric field includes electron / hole mobility as specific examples.
How do you calculate electron mobility?The equation =VdE allows us to mathematically demonstrate electron mobility. The SI symbol for electron mobility when subject to an external electric field is m2V1s1. We can see that [M1T2A] is its dimensional form when the SI unit's dimensions are calculated.
Briefing:resistivity of the copper (p) = 1.73 × 10⁸ Ωm
η = σ/μe
Here, σ = electrical conductivity
σ = 1/ρ
e = charge on electrons = 1.6 × 10⁻¹⁹
μ = mobilty of electrons
n = σ/μe
n = 1/ρμe
n = 1/8.304 × 10⁻⁸
n = 10⁸/8.304
n = 1.20 × 10⁷ electrons/ m³
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a baseball is hit with a horizontal speed of 16 m/s and a vertical speed of 18 m/s upward. what are these speeds 4 s later?
These speeds 4 s later is -20 m/s.
What is Acceleration due to Gravity?
The acceleration due to gravity would affect the radial component of an object at the surface of the earth. This would seem to us that the gravitational force acting on us on a vertical axis. This means that gravity would not affect any horizontal movement.
Determine the horizontal and vertical speeds, [tex]$v_x$[/tex] and [tex]$v_y$[/tex], of the baseball after t=4 seconds. We only recognize gravity as the force acting on the object, acting only on the vertical component. This means that the horizontal speed remains the same, such that
[tex]$$v_x=16 \mathrm{~m} / \mathrm{s}$$[/tex]
Now, we determine the vertical speed after the given time, t, by applying the kinematic equation,
[tex]$$v_y=v_{0 y}-g t$$[/tex]
where[tex]$g=9.81 \mathrm{~m} / \mathrm{s}^2$[/tex] is the acceleration due to gravity and t is the time. We proceed with the solution.
[tex]$$\begin{aligned}v_y & =v_{0 y}-g t \\& =18 \mathrm{~m} / \mathrm{s}-\left(9.81 \mathrm{~m} / \mathrm{s}^2\right)(4 \mathrm{~s}) \\& \approx-20 . \mathrm{m} / \mathrm{s}\end{aligned}$$[/tex]
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Two sources of sound, Sį and S2, emit sound waves in phase at a frequency of 1000 Hz. They are separated by a distance d 2.0 m. If you were to move a detector along the x-axis starting at S1, how far would it have to be moved before it detects no sound at all? Take the speed of sound to be 343 m/s.
If we were to move a detector along the x-axis starting at S1, it would have to be moved 11.6m far before it detects no sound at all.
A sound wave is what?
A sound wave is a pressure wave, which may be conceptualized as variations in pressure over time. Transverse waves include sound waves. The tines of a tuning fork must transfer air from the fork to one's ear in order for one to hear the sound of the fork. The majority of sound waves, although not all of them, are produced by some sort of vibrating object.
What two forms of sound waves are there?
The characteristics of sound waves should be the starting point for studying sound. Transverse and longitudinal waves are the two fundamental forms of waves, and they are distinguished by how they move through space.
Given,
The two sources, [tex]S_{1}[/tex] and [tex]S_{2}[/tex] separated by a distance is d = 2.0m
[tex]S_{2}P = \sqrt{x^{2} +2.0^{2} }[/tex]
= [tex]\sqrt{x^{2} +4}[/tex]
For destructive interference
[tex]S_{2}P - S_{1}P[/tex] = λ/2
λ=ν/f
Given:
frequency f = 1000hz
speed of sound ν = 343m/s
=[tex]\frac{343}{1000} = 0.343m[/tex]
[tex]\sqrt{x^{2} +4} -x[/tex] = [tex]\frac{0.343}{2}[/tex] = 0.1715
⇒ [tex]\sqrt{x^{2} +4}[/tex] = 0.1715 + x
⇒ [tex]x^{2}[/tex]+4 = [tex](0.1715+x)^{2}[/tex]
= [tex](0.1715)^{2} + x^{2} + 2(0.1715)(x)[/tex]
⇒ 4 = [tex](0.1715)^{2}[/tex]+ 0.343 [tex]x[/tex]
⇒ [tex]x = \frac{4-0.1715^{2} }{0.343}[/tex]
= 11.6m
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in Section 24-2. you learned how Neptune is afferent from Uranus, and how its rings and moons fomed and evolved Based on what you leamed about Uranus select all of the correct statements from the following list Neptune is similar to Uranus as far as sze, mass, composition and interior structure Lke Uranus, Neptune shows very little atmospheric activity Neptune's largestmoon Triton, has a retrograde orbit which suggests that it was captured i Beng much farther from the sun. Nepture has less internal heat than Uranus Triton has a tin atmosphere and may be geologically active Lke Uranus. Neptune's solid core prevented from having a magnetic field Neptune's position was predicted before it was discovered
Neptune and Uranus are similar in terms of size, mass, composition, and internal structure. The largest moon of Neptune, Triton, appears to have been captured because of its retrograde orbit.
Triton has a thin atmosphere and could be experiencing geological activity. Neptune's location was anticipated before it was ever discovered. Neptune is one of just two ice giants in the outer solar system (the other is Uranus). The planet's bulk, which is composed of a hot, dense fluid floating atop a tiny, rocky core, is primarily made up of water, methane, and ammonia (80% or more). Uranus is Neptune's identical twin. Their mass and chemical contents are equivalent. They are composed of an exterior layer of rocks and a mantle that is a mixture of water, ammonia, and methane ices. A physical body's mass is its total amount of matter. Inertia, or the body's resistance to acceleration (change of velocity) when a net force is applied, is also measured by this property. The gravitational pull an object has on other bodies is also influenced by its mass. The kilograms is the fundamental mass unit of SI (kg).
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2.
A book weighs 6 newtons.
A librarian picks up the book from one shelf and puts it on a shelf 2 metres higher.
(a) Calculate the work done on the book. [Show your working].
(b) The next person to take the book from the shelf accidentally drops it.
The book accelerates at 9.8m/s².
Use this information to calculate the mass of the book. [Show your working].
Answer:
0.612 kilograms.
Explanation:
To solve this problem, we need to use the definition of work as the product of force and displacement.
(a) The work done on the book is the force applied to it multiplied by the distance through which it is moved. In this case, the force applied to the book is its weight, which is 6 newtons. The displacement of the book is 2 meters, because it is moved from one shelf to another shelf that is 2 meters higher. Therefore, the work done on the book is 6 newtons * 2 meters = 12 joules.
(b) The next person to take the book from the shelf accidentally drops it. When an object is dropped, it accelerates due to the force of gravity, which is 9.8 m/s². Since the force of gravity is the same for all objects, we can use the acceleration of the book to calculate its mass. Specifically, we can use the formula F = ma, where F is the force acting on the object (in this case, the force of gravity), m is the mass of the object, and a is its acceleration.
In this case, the force acting on the book is its weight, which is 6 newtons. The acceleration of the book is 9.8 m/s². Therefore, we can solve for the mass of the book using the formula F = ma: 6 newtons = m * 9.8 m/s². This simplifies to m = 6 newtons / 9.8 m/s² = 0.612 kilograms.
In summary, the work done on the book when it is picked up and moved to a higher shelf is 12 joules, and the mass of the book is 0.612 kilograms.
It’s science but I hope u know this
The statement that is correct is that all the carbon atoms in the glucose would end up in the palmitic acid. Option C.
What is a model?In science a model is used for the purpose of explanation. The model could be used to describe what is going on in the reaction system. We can see from the model that there is a combination of the molecule of glucose with the molecule of oxygen in the molecule.
Now, we can see that the bonds in the glucose that are carbon to carbon bonds are broken and then recombined in such a way that they now lead to the formation of the palmitic acid molecule.
By the law of the conservation of mass, the number of atoms of the reactant is equal to the number of atoms in the product. This would play out as we carry out an atom count of the reactants and the products.
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for what values of the position does the kinetic energy equal one-half the potential energy? (use any variable or symbol stated above as necessary.)
A body is free falling from height h now at the middle that is at h/2 the body's K.E. = P.E
What is kinetic energy?
An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it.
There are only two cases in this phenomenon to occur:-
Case 1 - Something is tossed upward
When is the change in kinetic energy equal to the change in potential energy for an object thrown upward at some beginning velocity v0? The total amount of kinetic and potential energy is constant due to energy conservation. We want to know when the kinetic energy has decreased by half because we define our potential energy as zero at the launch point.
Case 2 - Simple harmonic oscillator
A restoring force proportionate to the displacement of the mass from equilibrium distinguishes a simple harmonic oscillator (such as a mass on a spring) from other oscillators:
F=− kx
This equation's solution yields the position as x=Acos(ωt+Ф), where A denotes the oscillation's amplitude, frequency, and phase. The frequency is expressed as Ф= [tex]\sqrt{k/m}[/tex]. The derivatives of the location can be used to calculate the oscillator's velocity and acceleration, which are both sinusoidal functions.
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The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.5m/s . It then slows to a stop, while the cylinder turns one complete revolution.
How long does it take for the elevator to stop?
Express your answer to two significant figures and include the appropriate units.
It will take 2.8 s for the elevator to stop when it is moving with a speed of 2.5m/s
1)The cable will travel a linear distance equal to the distance covered by the elevator because it is constantly taut and neither slipping nor stretching.
2) Since the cylinder makes one full rotation, the cable's length is equal to the cylinder's circumference.
3) As a result, you must determine the cylinder's circumference, which is determined using the formula C = 2[tex]\pi[/tex] radius.
The radius is half the diameter: 1.2 m / 2 = 0.6 m
Hence, C = 2π × 0.6m = 3.8m
⇒ Distance run by the elevator = 3.8m
4) Now, assuming that the elevator decelerated uniformly from its starting speed of 2.7 m/s to a complete halt (Vf = 0), you use the related formulas:
i) [tex](V_{f})^{2}[/tex]= [tex](V_{o})^{2}[/tex] - 2ad ⇒ 2ad = [tex](V_{o})^{2}[/tex]- [tex](V_{f})^{2}[/tex] ⇒ a = [tex](V_{0})^{2}-(V_{f})^{2}[/tex]/ (2d)
a = [2.7 m/s]² / (2×3.8m) = 0.96 m/s²
ii) [tex]V_{f}[/tex] = [tex]V_{0}[/tex]- at ⇒ t = [2.7 m/s] / (0.96 m/s²) = 2.8 s
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Jane is observing the milky way thanks to the fact that it is a very clear, dark night. However, she feels like she can only see a very small part of it and wants to see the entire galaxy. Why is this impossible?.
Due to her location within it, this is not possible. It can only be seen if the sky is clear and there is little to no light pollution, and as a result, environmental changes occur.
What is meant by Milky way ?The Milky Way is crammed with anything between 100 billion and 400 billion more stars, many of which have their own planets. The Milky Way is so named because it appears from Earth like a streak of milk that has been spilled across the sky.
A galaxy is a sizable group of stars gathered in one place in the universe. The Milky Way galaxy, which contains the sun, Earth, and seven other planets, is where our solar system is located. Similar to our sun, the Milky Way is home to hundreds of billions of stars.
The Milky Way makes it possible to examine a medium-sized spiral galaxy's functioning in great detail.
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calculate the moment of inertia of a thin, uniform rod of length l and mass m that rotates about a pivot at distance l/3 from one end.
Mass moment of inertia is a quantity that measures the degree of inertia of a body for rotational motion = ML²/9
A rigid body's moment of inertia, also referred to as its mass moment of inertia, angular mass, second moment of mass, or, more precisely, rotational inertia, is a property that establishes the torque required to achieve a desired angular acceleration about a rotational axis, much like mass establishes the force required to achieve a desired acceleration.
Depending on the axis selected and the distribution of the body's mass, a change in the body's rate of rotation will need a greater torque for bigger moments.
The moment of inertia for a point mass is just the mass times the square of the distance perpendicular to the axis of rotation. This is an extensive (additive) property.
Find the attachment of answer
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A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum cruising speed is 90 mi/h. (a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?
(b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What is the maximum distance it can travel under these conditions?
(c) Find the minimum time that the train takes to travel between two consecutive stations that are 45 miles apart.
(d) The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations?
Its top cruising speed is 90 miles per hour. (a) I discovered that the answer to the question, "What is the maximum distance the train can travel if it accelerates from rest till it reaches," was 22.665.
Given is the formula Acceleration=Deceleration=a
Maximum cruising speed: 1 mile = 5280 feet per hour (3600 s).
Time, t = 15 min = 1 min = 60 s
initial velocity, u=0
Replace the values
Distance=D
Distance total = s+d=2178+118800=120978 feet
Total distance = 22.665 miles, which is the furthest train can go.
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A wooden loop and a wire loop, both with the same shape and size, are placed next to the north poles of identical magnets. Then, the loops are moved closer to and farther from the magnets in exactly the same way. The emf generated around the wooden loop is zero. O less than the emf generated around the wire loop. equal to the emf generated around the wire loop. O greater than the emf generated around the wire loop.
If the loops are moved closer to and farther from the magnets in exactly the same way then the emf generated around the wooden loop is equal to the emf generated around the wire loop.
Electromotive force (emf) can be described as the electric potential that is produced by either changing the magnetic field or is produced by an electrochemical cell.
The emf generated around the wooden loop is equal to the emf generated around the wire loop because Faraday's law is only concerned about how the flux is changing and is therefore independent of the material involved. The loop material is not involved in the magnetic flux expression, so an emf is generated anyhow as long as it experiences a change in magnetic flux since it moves near the end of the bar magnet, changing the magnetic flux through the loop.
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he amplitude of a lightly damped harmonic oscillator decreases by 3.0% during each cycle.show answer no attempt what percentage of the mechanical energy of the oscillator is lost in each cycle?
The percentage of mechanical energy of the oscillator lost in each cycle is 5.91%.
The difference between mean or equilibrium position and either extreme is the oscillation's amplitude. The particle oscillates completely back and forth from its mean position.
The mechanical energy is the sum of both elastic potential energy and kinetic energy.
The mechanical energy of any oscillator is given by the formula,
E = 1/2 K*A²
When amplitude A decreases by 3%, then
(E₂ - E₁)/ E₁ = [1/2 K( A₂²/A₁²)]/(1/2 K*A₁²)
⇒ [(A₂²- A₁²)/(A₁²)]
⇒ (97² - 100²)/100²
⇒ 5.91% of the mechanical energy is lost in each cycle
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explain how the following rules check if there is a has color in a map factbase. adjacent(x, y) :- edge(x, y); edge(y, x). has color(s1, s2, color1) :- adjacent(s1, s2), color(s1, color1),color(s2, color1).
Prolog runtime will iteratively apply the rules to all the facts to find the matches and mismatches.
In physics, color is specifically associated with the particular range of wavelengths of electromagnetic radiation visible to the human eye. Such wavelengths of radiation make up a portion of the electromagnetic spectrum known as the visible spectrum. H. Light.
So colors have a physical basis. However, our perception of it is complicated by how the human visual system works. Some people have mutations that alter their ability to process incoming light and distort their perception of color.
Opticks is one of the great works of scientific history, documenting Newton's discoveries in his experiments with light passing through a prism. He identified the colors of his ROYGBIV (red, orange, yellow, green, blue, indigo, and violet) that make up the visible spectrum.
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a circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. the values for the resistors are: r1
The current flowing through the resistors is 0.229 A
What is a resistor ?A resistor is an electrical component that controls or restricts how much electrical current can pass across a circuit in an electronic device.
A specified voltage can be supplied via resistors to an active device like a transistor.
An electrical component with two terminals that provides electrical resistance is called a resistor.
Resistors are frequently used in electronic circuits to reduce current flow, divide voltages, block transmission signals, and bias active elements.
Given; The value of the resistors are :
R1 = 41 ohm
R2 = 41 ohm
R3 = 71 ohm
R4 = 64 ohm
V = 24 V
At t = 0 sec when there is no flow of current through resistors R2 and R3
therefore the equivalent resistance is = R1 + R4
Thus V = I * R
24/ 41 + 64 = I
I = 0.229 A
thus the current flowing through the resistors is 0.229 A
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6. A fossil contains 50 % of the carbon-14 it once had as a living creature. Use the half-life decay equation
to determine when the creature died. The half-life of carbon-14 is 5730 years.
The creature died 5730 year ago by using the half-life decay equation.
What is half life decay equation?Half life decay equation is defined as a characteristic unit for the exponential decay equation and remains constant over the course of an exponentially decaying quantity. The appropriate metrics for defining the life of decaying material are provided by the half-life formula.
The half life decay equation is
N = N₀ ( 1/2 ) t/t ¹/²
Let N = t/t ¹/²
So , N / N₀ = 1 / 2ⁿ
N₀ / N = 2ⁿ
N₀ / 0.50 N₀ = 2ⁿ
2ⁿ = 1 / 0.50
2ⁿ = nlog2
2ⁿ = log 1 - log 0.50
2ⁿ = 0 -( - 0.301 )
2ⁿ = 0.301
n = 0.301 / log 2
n = 0.301 / 0.301
n = 1
t1/2 = 5730
t = n x t1/2
t = 1 x 5730
t = 5730 years.
Thus, the creature died 5730 years ago by using the half-life decay equation.
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on the strange planet, zorgg, you weigh 1283 n. what will you weigh on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger?
The weight on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger will be
991.759N
In science and engineering, the weight of an object is the same as the force that acts on the object because of the gravity. Some books define weight as a vector quantity, some as the gravitational force acting on the object, and others define as a scalar quantity, the magnitude of the gravitational force.
Weight -> F = m * g
m = mass of object (constant for non relativistic speed)
F = Force
g = Gm / R^2
where
m = mass of planet
R = radius of planet
G = gravitational constant
at Zorgg planet, Fz = 1283N = m* gz,
gz = G*Mz / Rz^2
at Quoozeptinaletina,
Rq = 17.1Rz
Mq = 226Mz
Fq = m*gq
gq = G * Mq / Rq^2
226GMz / 17.1^2 Rz^2
gq = 226 / 17.1^2 gz
Fq = 226 / 17.1^2 Fz
= 0.773Fz
= 0.773 * 1283N
= 991.759N
Therefore, your weight at planet quoozeptinaletina is 991.759N
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A wave has a frequency of 46hz and a wavelength of 1. 7 meters. What is the speed of this wave?.
The speed of a wave with a frequency at 46 Hz as well as a wavelength = 1.7 meters is 78.2 m/sec.
What is the name of wavelength?The Greek letter λ is frequently used to represent wavelength. The name wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of multiple sinusoids.
What is the purpose of wavelength?The distance between each trough or the difference between each wave's crest and the next one. One of "yardsticks" used to gauge radiation levels is this. The SI unit measuring wavelength is the metre, which is frequently abbreviated as m. The wavelength of an object is measured using its multiples and fractions.
Briefing:Wavelength = 1.7 m
Frequency = 46 Hz
v denotes the wave's speed, w its wavelength, and f its frequency.
f = v/w,
= 46 =v/1.7
v = 78.2 m/sec
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A model for circuits Part 1: Current and resistance C. Light a bulb using a battery and a single wire. Observe and record the behavior (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit. (Try materials such as paper, coins, pencil lead, eraser. your finger, etc.) What is similar about most of the objects that let the bulb light?
Similarity which leads about most of the object to let the bulb light is their conducting materials.
The behaviour (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit is as-
The bulb glows when connected to conducting object but it does not glow when some objects like eraser, wood, plastic etc. are used to complete the circuit as it is the non-conducting objects.
Paper is a non-conducting object.
Coins are normally made up of silver, gold and metal alloys and we know all metals conduct electricity.
Pencil lead is made up of graphite which is non-metal still it conducts electricity as graphite contains delocalised electron (free electrons). These electrons can move through the graphite, carrying charge from place to place and allowing graphite to conduct electricity.
Human fingers are conductors as whole body of a human is an excellent conductor of electricity. This reply on the fact that our fingers is 3 parts salty water - which means it's got lots of loose electric charges floating around in it.
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A grinding wheel is a uniform cylinder with a radius of
8.50 cm and a mass of 0.380 kg. Calculate (a) its moment of
inertia about its center, and (b) the applied torque needed
to accelerate it from rest to 1750 rpm in 5.00 s. Take into
account a frictional torque that has been measured to slow
down the wheel from 1500 rpm to rest in 55.0 s
The total torque required to accelerate the wheel is 0.054 Nm.
What is the moment of inertia of the uniform cylinder?
The moment of inertia of the uniform cylinder is calculated by applying the following formula.
I = ¹/₂MR²
where;
M is the mass of the grinding wheel or uniform cylinder R is the radius of the grinding wheel or uniform cylinderI = ¹/₂(0.38)(0.085)²
I = 1.37 x 10⁻³ kgm²
The angular acceleration of the grinding wheel or uniform cylinder is calculated as follows;
α = ω/t
where;
ω is the angular speedω = 1750 rev/min x 2π rad/rev x 1 min / 60 s = 183.26 rad/s
α = (183.26 rad/s) / (5s)
α = 36.65 rad/s²
The torque required to accelerate;
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (36.65 rad/s²)
τ = 0.05 Nm
The frictional torque that is slowing down the wheel;
ω = 1500 rev/min x 2π rad/rev x 1 min / 60 s = 157.1 rad/s
α = (157.1 rad/s) / (55 s)
α = 2.86 rad/s²
τ = Iα
τ = (1.37 x 10⁻³ kgm²) x (2.86 rad/s²)
τ = 0.004 Nm
The total torque required to accelerate the wheel is calculated as;
τ(total) = 0.05 Nm + 0.004 Nm
τ(total) = 0.054 Nm
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a 4 kg ball is attached to a 1.5 m long string and whirled in a horizontal circle at a constant speed 5 m/s. how much work is done on the ball during one period? quizziz
The work done on the ball during one period is 66.67 J.
What is acceleration?
The rate at which the speed and direction of a moving object change over time. A point or object moving straight ahead is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because the direction is constantly shifting. Both effects contribute to a acceleration for all other motions. Acceleration is a vector quantity because it has both a greater acceleration. A vector quantity is also velocity. The velocity vector change over a time interval divided by time interval is the definition of acceleration.
The amount of work done on the ball during one period is equal to the force times the distance traveled, which is equal to the mass times the centripetal acceleration times the distance traveled. Thus, the work done on the ball during one period is equal to 4 kg x (5 m/s)2 / 1.5 m = 66.67 J.
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a guitar string that is attached at both ends is 40 cm long and produces a fundamental note of frequency 200 hz when it is plucked. what are the frequencies of the first and second overtones of this string?
The first and second overtones are 400hz and 600hz respectively
What is overtone In a stretched string?When a string vibrates in section, it produces overtones. The lowest frequency produced from a plucked string when the string vibrates in one loop is called fundamental frequency. But when it vibrates in multiple loops it is called overtone. Overtones are also called Harmonics of the fundamental frequency.
The first , second and third overtones in a string is 2fo , 3fo and 4fo , where fo is the fundamental frequency.
Therefore if the fundamental frequency is 200hz, the first overtone is 2×200 = 400hz and the second overtone is 3×200 = 600hz.
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what is the change in internal energy (in j) of a system that releases 550 j of thermal energy to its surroundings and has 92 cal of work done on it?
The internal energy of a system is 1542.52 J.
What is internal energy?
The internal energy of a thermodynamic system is the total energy contained within it. It is the energy necessary to create or prepare the system in its given internal state and includes the contributions of potential energy and internal kinetic energy.
First we convert calories into joules, 530 calories =530 calories × 4.184 = 2217.52 J
Formula, ΔE = q + w
Here, the system releases heat, so q is negative
Therefore, ΔE = -q + w
Now, put the values of q and w
ΔE = -675 + 2217.52 J
ΔE = 1542.52 J
Internal energy is the sum of ability power of the gadget and the machine's kinetic strength. The alternate in internal energy (ΔU) of a response is equal to the heat gained or lost (enthalpy trade) in a reaction whilst the reaction is administered at steady pressure. inside the study of thermodynamics, a usually perfect gasoline is taken into consideration as a running substance. The molecules of an ideal gasoline are mere mass points that exert no force on each other.
The SI derived unit used to degree strength or paintings. One joule is identical to the electricity used to accelerate a body with a mass of 1 kilogram using one newton of force over a distance of one meter. One joule is also equal to one watt-second.
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(a) at what angle is the first minimum for 550-nm light falling on a single slit of width 1.00μm1.00μm ? (b) will there be a second minimum?
The required angled is[tex]$\theta=33.4^{\circ}$[/tex].
What is angle is the first minimum?
The first minimum is going to be theta one is the inverse sine of one times 550 times ten to the minus nine meters divided by one times ten to the minus six meters giving an angle of 33.4 degrees
[tex]\begin{aligned}& \lambda=550 \mathrm{~nm} \\& D=1.00 \mathrm{~nm}\end{aligned}[/tex]
[tex]D \sin \theta=m \lambda, m=1,-1,2,-2, \ldots$$[/tex]
a) [tex]$\theta=\sin ^{-1}\left(\frac{m \lambda}{D}\right)$[/tex]
[tex]\theta_1=\sin ^{-1}\left(\frac{(1)\left(550 \times 10^{-9} \mathrm{~m}\right)}{1.00 \times 10^{-6} \mathrm{~m}}\right)=33.4^{\circ}[/tex]
b)The value of sine function can never be greater than 1, so second minimum does not exists for given wavelength of light and width of slit.
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light from a helium-neon laser with a wavelength of 633 nm is incident upon a 0.200-mm wide slit. what is the total width of the central maximum 2.00 m from the slit? question 5 options:
The total width of the central maximum be 1.266 cm.
How do you find the width of central maximum in the diffraction ?Just the distance between the first order minima on either side of the screen's centre make up the width of the central maximum.Since the central fringe ends at the first minimum on both sides, the width of it can be determined by solving the equation for destructive interference for y using the constant m=1.Astronomy has made significant progress thanks to the field of study of diffraction, which helped in the creation of precise spectrometers. This was possible in the early 1800s, when two esteemed scientists, one in Italy and the other in Germany, were engaged in life-or-death battles. These two illiterate children were nonetheless attempting to pursue an education.Given data :
wavelength of light = 633 nmwide of the slit = 0.200 mm.distance of the central maximum = 2.00 mSo, the total width of the central maximum = 2λD/a
= ( 2 × 633 nm × 2.00 m)/ 0.200 mm.
= 0.01266 m = 1.266 cm.
Hence, the total width of the central maximum be 1.266 cm.
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what is the maximum speed of a 330 kg car if the spring is compressed the full amount? express your answer with the appropriate units.
Speed can be calculated using Kinetic energy and Potential energy. Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2.
How to calculate speed using Kinetic energy and Potential energy?
We know
Mass of the car = 300kg
G=9.8
Height = 16m
Thus, potential energy U =mgh and kinetic energy is 1/2mv²
0.5*m*v2 = m*g*h
v = √(2*g*h) = √(2*9.81*16)
v=17.71 m/s
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The half-life of potassium-42 is approximately 12 hours. How long will it take for the radiation level of potassium-42 to drop to 1/16 of its original level?.
it take for the radiation level of potassium-42 to drop to 1/16 of its original level is 48 hours.
Which are the 4 different forms of radiation?Radiation can be divided into four main categories: alpha, beta, neutrons, and electromagnetic waves like gamma rays.The mass, intensity, and depth to which they pierce persons and things varies between them.
A beta particle is the first.Although they can exceed 50 mSv/yr, they normally fall between 1.5 and 3.5 millisievert per year.
Which radiation type is the most deadly?The worst external risk is gamma radiation.Beta burns can occur when beta particles partially penetrate the skin.Alpha rays can't go through skin that is still intact.The cells in their route can be damaged by gamma and x-rays that travel through a person.
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calculate the work w done by the gas during process 1→2→6→5→1 . express your answer in terms of p0 and v0 .
4P₀V₀ is the work done by the gas during process 1→2→6→5→1.
Is the gas used for or used in work?Therefore, the work performed by a gas expanding against an external pressure is negative, analogous to the work performed by a system on its surroundings. In contrast, when a gas is compressed externally, V₀ and the work is positive because the environment exerts force on the system.
The gas must release some energy into the environment when it expands in response to an external pressure. The overall energy of the gas is thus reduced as a result of the negative work. When a gas is compressed, energy is transferred to it, increasing its energy as a result of positive work.
Let's consider,
Work done = -W (As the energy is released)
External pressure = P₀
Volume of gas = V₀
So, the work done can be calculated as follows:
W = P x (dV)
-W = P₀ × V₀
Now according to the process given:
1→2→6→5→1
Energy flow increases up to 6 eventually decreases with loss of factor 4.
Hence, the energy of the system (work done) is:
-W = 4 × P₀ × V₀
-W = 4P₀V₀
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