The net charge on the inner surface of the conductor is 3q, since the charge placed in the cavity adds to the existing charge, creating a net charge of 3q.
The net charge on the outer surface of the conductor is -2q, since the outer surface does not receive any new charge from the cavity and remains at -2q.
The net charges on the inner and outer surfaces of the conductor can be used to calculate the electric field outside the conductor and the electric potential inside the conductor. The electric field outside the conductor is determined by the net charge on the outer surface, while the electric potential inside the conductor is determined by the net charge on the inner surface. Additionally, the electric field outside the conductor can also be used to calculate the capacitance of the conductor, which is the measure of the amount of charge it can store.
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the planet in the orbit shown in the drawing obeys kepler's laws. during which of the portions of the planet's orbit (a, b, c, or d) would the planet experience an increase in speed for at least a moment?
The planet experience an increase in speed for at least a moment as it approaches the sun.
What are Kepler laws?The three laws of Kepler are -
The orbit of a planet is an ellipse with the Sun at one of the two foci.A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.The square of a planet's orbital period is proportional to the cube of the length of the semi - major axis of its orbit.Given is the planet in the orbit shown in the drawing obeys Kepler's laws.
The planet moves faster when it is nearer the Sun and slower when it is farther from the SunTherefore, the planet experience an increase in speed for at least a moment as it approaches the sun.
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two children of identical mass sit on a merry-go-round. one sits 0.5m from the center, and the other sits 3m from the center. if the children are in a straight line form the center, which child has a greater speed?
Centripetal force is equal to mv2/r for the youngster about 0.5 meters from the center. Due to the fact that more ground is traversed in a given has a higher moving direction than the youngster closest to the edge.
Are kids accelerating on a merry-go-round?The youngster on the joyful is moving in a uniform circular motion, which means that while the child's overall speed is constant, its direction is changing at each point. A change in magnitude, direction, or both can cause a change in velocity. When there is an rate of alteration in velocity, acceleration takes place.
Does more material equal so much centripetal force?The magnitude of an object's centripetal acceleration (a) when it performs a uniform motion as a result, the mass of the object has no bearing on the centripetal acceleration.
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for one-dimensional steady-state conduction in a plane wall with no heat generation, the heat flux is independent of x. group of answer choices true false
True. The heat flux is independently of x for only one steady-state conduction in some kind of a planar wall without heat creation.
What are heat flux and what is its unit?The thermal energy that is emitted over a concrete surface is known as heat flux, and its unit is W/m2. The equation dotq = fracQA can be used to determine heat flow.
How is the heat flux determined?The source of energy flux at the surface of a hard object is frequently a combination of convective and contributions. By allowing this heat to pass throughout a heat flux sensor, conductive and convective heat fluxes can be monitored. Heat flux monitors are either embedded in or installed on the surface of an solid item.
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Two blocks of masses 3 kg and 5 kg
approach each other with initial velocities 4 m/s and -6 m/s respectively.
The two blocks collide in a totally inelastic collision. What is their common
final velocity after the inelastic collision?
The common final velocity of the two blocks after the inelastic collision is -2.25 m/s.
In a totally inelastic collision, the two objects stick together and move as a single object with a common velocity after the collision. The final velocity of this combined object can be determined using the law of conservation of momentum.
The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it. This means that the total momentum of the two blocks before the collision must equal their total momentum after the collision.
The momentum of each block before the collision can be calculated as follows:
m1 * v1 = 3 kg * 4 m/s = 12 kg m/s
m2 * v2 = 5 kg * -6 m/s = -30 kg m/s
The total momentum before the collision is the sum of the individual momenta:
[tex]p_initial = m1 * v1 + m2 * v2 = 12 kg m/s + (-30 kg m/s) = -18 kg m/s[/tex]
After the collision, the two blocks have combined into a single object of mass m1 + m2 = 3 kg + 5 kg = 8 kg. The velocity of this combined object is equal to the final velocity of the collision, which we will call v_final.
The total momentum after the collision is equal to the momentum of the combined object:
[tex]p_final = (m1 + m2) * v_final = 8 kg * v_final[/tex]
Setting p_initial equal to p_final and solving for v_final:
[tex]-18 kg m/s = 8 kg * v_finalv_final = -18 kg m/s / 8 kg = -2.25 m/s[/tex]
So the common final velocity of the two blocks after the inelastic collision is -2.25 m/s.
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through which of the gaussian surfaces is the total electric flux zero?
The Gaussian surface through which the total electric flux is zero is the one that does not enclose any net charge.
According to Gauss's Law, the total electric flux passing through a closed surface is proportional to the charge enclosed by that surface. If there is no charge enclosed by the surface, then the total electric flux passing through that surface is zero.
Therefore, if there is no charge enclosed by a Gaussian surface, the total electric flux passing through that surface is zero.
However, if there is a charge enclosed by a Gaussian surface, the total electric flux passing through that surface is not necessarily zero. In that case, the total electric flux passing through the surface is proportional to the charge enclosed by the surface.
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how does the temperature dependence of resistance explain the trends you see on the v -i plot for your light bulb? (you do not need to calculate anything here, but give a qualitative answer based on the shape of your v -i plot.)
The resistance decreases with the increasing temperature. The lower the current, the higher the resistance.
What is resistance?Electrical resistance, or resistance to electricity, is a force that opposes the passage of current. In this way, it indicates how difficult the process is for the current to flow. The resistance is measured in ohms.
When there is an electron difference between the two terminals, electricity flows from high to low. That flow is countered by resistance. The lower the current, the higher the resistance. The stronger the current, the lower the resistance. The resistance decreases with the increasing temperature.
Therefore, the resistance decreases with the increasing temperature.
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How do you think population variables would affect the economic impact of an environmental hazard?
Effects of Population Growth on The Economy Population growth may have a positive effect on the economy.
How does population affect the economy?Human population growth bounces the Earth's system in a variety of ways, involving Increasing the extraction of resources from the environment. Rapid population growth built it more difficult for low-income and lower-middle-income countries to supply the increase in public expenditures. Population growth, along with increasing use, of the economy tends to increase emissions of climate-changing greenhouse gases.
On a facile level, the relationship between growth in population and growth in per capita income is clear. After all, per capita income equals total income divided by population. The growth rate of per capita income forcefully equals the difference joining the growth rate of income and the growth rate of population.
So we can conclude that Population size, growth, age structure, and geographic issues influence economies.
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Describe why a bowling ball and a baseball dropped off of a cliff at the same time would land at different times, but they would land at the same time in a vacuum.
what is the classical momentum pclass(t) for this classical particle? find an expression for ! such that
In classical physics, an object's momentum is calculated by multiplying its mass by its speed.
How do classical and relativistic momentum differ from one another?
Relativistic momentum is the same as classical momentum at slow speeds. As u moves closer to c, relativistic momentum grows infinitely large. This suggests that a mass-containing item cannot travel at the speed of light. As with classical momentum, relativistic momentum is conserved.
The two types of momentum are linear momentum and angular momentum. The three different types of inertia are inertia at rest, inertia in motion, and inertia in direction. Mass and speed are factors in momentum. An object moving with a velocity has linear momentum, but a spinning object has angular momentum.
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Television broadcasts utilize _________ waves. Select one: magnetic gamma radio ultraviolet
Television broadcasts utilize radio waves to transmit signals from the broadcaster to the television set.
The signals contain data, including audio and video, which is decoded and shown on the screen. The electromagnetic spectrum, which also contains visible light and X-rays, includes radio waves. These waves can move across a variety of media, including air, water, and even space, and have varying frequencies.
Since the early 20th century, radio waves have been used to broadcast television, becoming a standard in homes all over the world. Over time, technological advancements have improved picture and sound quality and increased the number of available channels. In the worlds of communication and entertainment, television transmissions and radio waves have, in short, had a long and significant association.
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2.81 A certain volcano on earth can eject rocks vertically to a maximum height H. (a) How high (in terms of H) would these rocks go if a volcano on Mars ejected them with the same initial velocity? The acceleration due to gravity on Mars is 3.71 m/s², and you can neglect air resistance on both planets. (b) If the rocks are in the air for a time T on earth, for how long (in terms of 7) will they be in the air on Mars?
The height of a volcano can reach a maximum of 0.3 times that of Earth, and boulders will float in the air for 0.38 times as long as they did on Earth.
a) When rocks are ejected from a volcano, their initial velocity (V) and the acceleration due to gravity (G) dictate how high they may go (g).
The equation for the greatest height (h) is given by h = V2/. (2g). Gravitational acceleration is 9.8 m/s2 on Earth and 3.71 m/s2 on Mars.
With the same beginning velocity as on Earth, boulders blasted from a volcano on Mars would reach a height of h = V2/(2 * 3.71) = (V2/7.42) m.
On Earth, the maximum height would be 1/7.32 times 1/2.72 times 0.37 times H.
(b) The equation T M = 2V/g may be used to calculate how long the pebbles will remain in the air on Mars (T M).
The equation is T E = 2V/9.8 on Earth and T M = 2V/3.71 on Mars. T M/T E = (2V/3.71) / (2V/9.8) = 3.71/9.8 = 0.38 gives the ratio of the time in the air on Mars to that on Earth.
In other words, the rocks will remain in the air for around 0.38 times as long as they were on earth.
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a plastic balloon that has been rubbed with wool will stick to a wall. can you conclude that the wall is charged? if so, where does the charge come from? if not, why does the balloon stick?
No, it doesn't always imply that the wall is charged because the ball can cling to a non-charged wall.
The effect is caused by static electricity where we have plastic balloons. Static electricity refers to the buildup of electric charge in an item. Static electricity is significant because it may cause items to cling to one another.
This happens when two items with opposing charges, positive and negative, attract one other. Wool is a conductive substance, which means it quickly absorbs electrons as we discuss our dilemma. As a result, pressing a balloon against a wall causes electrons to move from the wool to the balloon's surface.
The rubbed area of the balloon is now negatively charged. Rubber things, such as the balloon, are electrical insulators, which means they hinder the flow of electrical charge through them.
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carl is on vacation from school and he went to the beach for the day. he laid his towel out and got his sunblock out. he noticed a warning on the back of the aerosol can of sunblock -- it says: contents under pressure; do not heat. why does the warning advise against heating the can?
The warning advises against heating the can because if the can is heated, the pressure inside it can increase, causing it to burst and potentially causing injury.
Heating the can cause the pressure inside it to increase, leading to a dangerous and potentially explosive situation. This is because the aerosol can contains a mixture of ingredients that are pressurized, including a volatile propellant, the sunblock product, and possibly other chemicals.
When the can is heated, the pressure inside it can rise to a level that exceeds the strength of the can, causing it to burst. This can release the contents of the can rapidly and forcefully, posing a risk of injury to anyone nearby. Therefore, it's important to avoid heating the can and to handle it with care, following the manufacturer's instructions and warnings.
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what is the sensitivity of the analytical balance; that is, what is the smallest amount of mass that it can detect?
Laboratory equipment with a high level of sensitivity, analytical balances are used to precisely measure mass. Their readability ranges from 0.01 mg to 0.10 mg.
What is the analytical balance's sensitivity to top loading?
Top-loading balances are less expensive than analytical balances but are less precise because they can only weigh things up to 200 g. With a readability of up to three decimal places to the right of the decimal point, they are regarded as semi-analytical balances (up to . 001 g). The readability of precision balances is 0.01 g.
The weighing chamber or draft shield on analytical scales protects the incredibly small samples from being impacted by air currents. The "magnetic force restoration" theory underlies the operation of analytical balance. It is an electromagnetic balance that calculates an object's mass using an electromagnet.
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A car starts traveling with a velocity of 15 m/s and accelerates at a speed of 0.5 m/s 2 within 12 seconds. What is the displacement of the car that it traveled? Report your answer with the correct units.
The displacement of the car is 180 m it traveled.
What is the displacement ?Displacement is the distance between two points in a certain direction. It is usually measured in terms of length, such as kilometers or miles. Displacement is a vector quantity, which means that it has both magnitude and direction. It is different from distance because displacement is the shortest distance between two points, while distance is the total amount of space traveled between two points. Displacement is commonly used in physics to calculate the change in position of an object over time. It can also be used to measure the change in velocity or acceleration of an object.
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moral lesson learnt from the sermon on the mount
Blessed are the merciful: for they shall obtain mercy is the moral lesson learned from the sermon on the mount
What is the Sermon on the Mount's main message?
Christians learn the following crucial lessons from this sermon: The things we own here on Earth don't matter. Good people will discover meaningful spiritual "treasures" in Heaven. God will take care of people, so they shouldn't be concerned.
In the Sermon on the Mount, what did Jesus say?
1. And, seeing the crowds, he climbed a mountain: His disciples came to him after he was set.
2. And he spoke to them, saying
3. Because the kingdom of heaven is theirs, those who are poor in spirit are blessed.
4. Happy are the bereaved because they will find comfort.
Who wrote the sermon on the Mount?
Scholars put forth a number of arguments for the claim that Matthew is the author of the Sermon on the Mount, but only using New Testament sources.
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A 25 kg box is lifted to a height of 6 m. If the lift required 400 watts of power, what distance was the box lifted?
Group of answer choices
2.8 m
4.5 m
4.2 m
3.7 m
Explanation:
many greetings to your teacher : the question and answer options are wrong.
let's repeat the basic definitions :
Force = mass × acceleration
for a lift the acceleration is going against Earth's gravity : 9.81m/s²
so, we have
F = 25kg × 9.81m/s² = 245.25 N
Work = force × distance
so, we have
W = 245.25 N × 6 m = 1,471.5 J
Power = work / time
so, we have
400 watts = 1,471.5 J / time
time = 1,471.5 J / 400 watts = 3.67875 ≈ 3.7 seconds
so, as you can see, the question has to be "how long did the lift take, when it required 400 watts of power ?"
and the answer is "about 3.7 seconds".
NOT about the distance. that was already defined in the first sentence : 6 m.
without knowing the time duration, no distance can be calculated out of the given data. if we cannot trust the given 6m, then we have one equation with 2 variables (distance and time). that has infinitely many solutions.
determine the maximum mass of the lamp that the cord system can support so that no single cord develops a tension exceeding 400 n.
In order to determine the maximum lamp mass, we therefore convert the maximum tension cable value to 400N, and the cord type DE is discovered.Therefore, 20.387 kg is the maximal mass of the lamp at F.
How do you establish the upper limit?Reason: To locate the maximum, you must identify the point at which the graph turns from growing to decreasing.We check at the derivative and see when the changing the ways from positive to negative to determine the rate at which the graph goes from increasing to decreasing.
What is the mass mass equation?For a body, mass is constant.Mass can be calculated using the formula: mass = volume density.A mass's weight is a measurement of a gravitational force at work on it.The kilogram is indeed the SI mass unit.
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what is the force exerted by a catchers glove on a .15 kg baseball moving at 35 m/s that is stopped in .02 s
Answer:
Explanation:
v=u+at
Final velocity v=0 , u=35m.s, a=-a , t=0.02
a=u/t = 35/0.02 = 1750 m/s2
force = mass * acceleration = 0.15 * 1750 = 262.5N
if the centripetal force on a 3.30 kg object is 14.5n, and the object is 1.90 m from the center of the circle, what is its tangential velocity?
If the centripetal force on a 3.30 kg object is 14.5 N, and the object is 1.90 m from the center of the circle, then the tangential velocity of the object will be 7.50 m/s.
Weight of the object is 3.30 kg ⇒ m = 3.30 kg.
The object is placed 1.90 meter away from the center of the circle and the centripetal force acting on the object will be 14.5 N .
F = 14.5 N and r = 1.90 m.
Centripetal force will be F = m × a = m × v² / r
So, v = sqrt of (F × r / m)
⇒ sqrt (14.5 N × 1.90 m / 3.30 kg) = sqrt (51.85 N × m / kg) = sqrt (51.85 N × m / kg) = 7.50 m/s.
Then the tangential velocity of the object will be 7.50 m/s.
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when you drop an object, does its speed (a) suddenly go from zero to some fixed value or (b) start from zero and increase continuously? use your plot of v vs. t to justify your answer.
(b) start from zero and increase continuously.In free fall motion,speed of the object increases continuously due to gravitational acceleration (g),till the terminal speed.
Can an item be at rest and have zero acceleration?Newton's First of Motion, often known as the Law of Inertia, states that if an object experiences no net force at all, it will likewise experience no acceleration.Zero acceleration describes an item at rest.An object experiences zero acceleration if it keeps moving in a straight path at a constant speed.
If speed is not zero, can velocity be zero?The displacement of a moving body with the identical initial and terminal points is zero, but the distance traveled is not.As a result, it possesses a non-zero speed and zero velocity.
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Explain how your core sample differs from an actual core sample from the earth. It is in a jar and has colored sand to represent the core.
A obtained experimental is indeed a long, narrow chunk of stone that is extracted by drilling a hole through a rock with such a unique tool and lifting out an undamaged piece of the rock.
Is lifting considered work in physics?Work is being done on the thing as you lift it. The equation W = Fd describes the work W performed on an item by a constant force. It is determined by multiplying the force's intensity by how far the object is moved by the force.
Are you lifting something?Surface and body are no longer in contact when the body is lifted, eliminating any frictional forces. For the simple reason that friction opposes any relative motion between a surface and a substance (both are in contact).
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Which object has potential energy?(1 point)
Responses
unlit lightbulb
unlit lightbulb
rock on the ground
rock on the ground
stereo speaker
stereo speaker
can of gasoline
The object that has potential energy is the can of gasoline.
What is potential energy?Potential energy is described as the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
The forms of potential energy includes:
Elastic Potential Energy.Electrical (Electromagnetic) Potential Energy.Gravitational Potential Energy.Nuclear Potential Energy.Potential energy is described as the energy a system has due to position, shape, or configuration.
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a car traveling on a uphill grade has a grade resistance of lb. determine the weight of the car to the nearest hundred pounds.
To the nearest hundred pounds, the weight of the car is 4,000 pounds.
The force of grade resistance can be related to the weight of the car using the equation:
F_grade = (W_car × sinθ) / g
where F_grade is the force of grade resistance, W_car is the weight of the car, θ is the slope angle (1.6°), and g is the acceleration due to gravity (32.2 ft/s²).
Rearranging the equation to solve for W_car, we have:
W_car = (F_grade × g) / sin θ = (114 lb × 32.2 ft/s²) / sin(1.6°)
Using a calculator, the weight of the car can be found to be approximately 4,000 pounds. To the nearest hundred pounds, the weight of the car is 4,000 pounds.
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A car traveling on a 1.6° uphill grade has a grade resistance of 114 lb. determine the weight of the car to the nearest hundred pounds.
the cliff divers at acapulco, mexico, jump off a cliff 28.7 m above the ocean. ignoring air resistance, how fast are the divers going when they hit the water?
The divers going when they hit the water at 23.1m/s speed
How does air resistance function?
Air exerts a force known as air resistance. When an object is travelling through the air, the force works in the opposite direction. While a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile will be able to move more quickly than a truck with a flat front.
The law of conservation of energy allows us to calculate the speed of the divers when they strike the ground because their potential energy at a height of 28.7 meters above the ground is transformed into kinetic energy at ground level.
Potential Energy =Kinetic Energy
PE=KE
mgh = 1/2mv²
gh = 1/2v²
g = 9.81m/s²
v = √2gh
v = √2 × 9.81 ×2 × 28.7
v = 23.1 m/s
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suppose that one such plate has an average speed of 3.4 cm/yr, assuming the plate maintains the given speed for 1.0 s, how far, in meters, does it move?
Complete Question: Large sections of the Earth's crust called tectonic plates move slowly. How long, in meters, does one of these plates go if its average speed is 3.4 cm/year and it keeps moving at that rate for 1.0 second?
The distance moved by the plate in this case would be [tex]1.08 * 10^-10 m/s * 1.0 s = 1.08 * 10^-10 m.[/tex]
The speed of tectonic plates is measured in centimeters per year (cm/yr), but to find the distance moved in meters, we need to convert the speed to meters per second (m/s). To do this, we first convert the speed to meters per year (m/yr) and then divide by the number of seconds in a year (31,536,000 s/yr).
The average speed of the tectonic plate is 3.4 cm/yr, so the equivalent speed in meters per year is 3.4 cm/yr * 0.01 m/cm = 0.034 m/yr. The speed in meters per second is then 0.034 m/yr / (31,536,000 s/yr) = 1.08 x 10^-10 m/s.
If the plate maintains this speed for 1.0 s, the distance it moves can be calculated using the formula distance = speed x time. The distance moved by the plate in this case would be [tex]1.08 * 10^-10 m/s * 1.0 s = 1.08 * 10^-10 m.[/tex]
This distance may seem small, but it is important to remember that tectonic plates move slowly over long periods of time.
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What is the coefficient of kinetic friction if a car going at 20 m/s stops in 50 m?
A automobile stopped after driving 50 meters at the a pace of 20 m / sec. Count on the rate of slowing being constant. Us = 0.5 and Uk = 0.03 are indeed the coefficient of friction between the seat and the user.
What is friction in human?A force known as friction works between two systems to stop any motion including attempted motion. Its normal force N that has been bringing the systems together has an inverse connection with the simple friction.
What negative effects may friction have?Here following is an overview of friction's detrimental effects: Friction among various mechanical parts causes a substantial quantity of heat to be wasted as heat. Since movement is constrained, it takes more energy to go around it. Using a machine when it is making noise is useless and irritating.
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a scanning electron microscope produces an image using a beam of electrons acceler- ated through a 30 kv potential difference. what is the speed of the electrons?
Using an electron beam that has been accelerated through a 30 kv potential difference, a scanning electron microscope creates an image at a speed of 0.012 1023 m.
What constitutes a potential difference?Difference that might exist between any two points The amount of work required to move a unit positive charge along any path from one point to another without accelerating is referred to as the electric field.
Accelerating voltage=V=30kV
Using de-Broglie's equation.
λ= p/h ⟶(1)
λ=Wavelength of moving particle.
P=Momentum of moving particle.
h=Planck's constant=6.63×10⁻³ Js
now from mechanics we know,
P= √2mk = √2mqV
Where, P=momentum of particle
M=mass of particle.
K=Kinetic energy of particle.
V= Electric potential of particle( Accelerating voltage).
q=charge of particle.
In the case of electron, q=e=1.6×10⁻¹⁹ C
Substitution of (1)
λ= √2meV/h
λ = 6.63 × 10⁻³⁴/√2 × 9.1 × 10⁻³¹ × 1.6 × 10¹⁹ × 30 × 10³
λ = 6.63 × 10⁻³⁴/546 × 10⁻⁹
λ = 0.012 × 10⁻²³m
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A particularly beautiful note reaching your ear from a rare Stradivarius violin has a wavelength of 39.1 cm . The room is slightly warm, so the speed of sound is 344 m/s.
If the string's linear density is 0.690 g/m and the tension is 160 N , how long is the vibrating section of the violin string?
The length of the vibrating section of the violin string is approximately 16 cm.
The length of the vibrating section of the violin string can be calculated using the formula for the wavelength of a wave on a string:
λ = 2L / n
where λ is the wavelength, L is the length of the vibrating section of the string, and n is the number of nodes in the vibration.
Next, we can use the formula for the frequency of a wave on a string:
[tex]f = (1 / 2L) * (T / μ)^0.5[/tex]
where f is the frequency, T is the tension in the string, and μ is the linear density of the string.
Combining these two equations and solving for L, we get:
[tex]L = (μ / T) * (f^2 / n^2)[/tex]
Substituting the given values, we get:
[tex]L = (0.690 g/m / 160 N) * [(344 m/s / (2 * 39.1 cm))^2 / (1 / 2)^2][/tex]
Converting the units, we get:
[tex]L = (0.690 g/m / 160 N) * [(344 m/s / (2 * 0.391 m))^2 / (1 / 2)^2][/tex]
Calculating the value, we get:
L = 0.016 m
So, the length of the vibrating section of the violin string is approximately 16 cm.
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one little of water at 100c is added to four litres of water at 30c.what will be the final temperature of the water?
Answer:
o calculate the final temperature of the water, we can use the formula for heat transfer:
Q = mcΔT
where Q is the heat transfer, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.
For the one liter of water at 100°C, the heat transfer is:
Q1 = (1 kg) * (4.18 J/g°C) * (100°C - 30°C) = 4180 J
For the four liters of water at 30°C, the heat transfer is:
Q2 = (4 kg) * (4.18 J/g°C) * (100°C - 30°C) = 16680 J
Since heat is conserved, the total heat transfer must remain constant:
Q1 + Q2 = Qfinal
Therefore, the final temperature of the water can be calculated as:
Qfinal = (5 kg) * (4.18 J/g°C) * ΔTfinal
Solving for ΔTfinal, we get:
ΔTfinal = Qfinal / (5 kg) * (4.18 J/g°C) = (Q1 + Q2) / (5 kg) * (4.18 J/g°C) = (4180 J + 16680 J) / (5 kg) * (4.18 J/g°C) = (20860 J) / (5 kg) * (4.18 J/g°C) = 40°C
Therefore, the final temperature of the water will be 40°C.
Explanation:
Answer:
The final temperature of the water will be approximately 46.25°C.
Explanation:
Let's call the initial temperature of the first liter of water T1 = 100°C and the initial temperature of the four liters of water T2 = 30°C.
The total mass of the water is 1 + 4 = 5 liters.
Using the equation of Heat Transfer: Q = mcΔT, where Q is the heat transferred, m is the mass, c is the specific heat capacity of water, and ΔT is the change in temperature, we can calculate the heat transfer from the first liter of water to the four liters of water.
Q = (1 kg) * (4.18 J/g°C) * (100°C - T3)
Q = (4 kg) * (4.18 J/g°C) * (T3 - 30°C)
Solving for T3, we get:
T3 = 46.25°C
So, the final temperature of the water will be approximately 46.25°C.