A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension. This string produces a 100-Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The tension in the string is closest to

Answers

Answer 1

The tension in the given string of 1.0 g and length of 0.64 m is closest to 2.84 N

Tension in the string

The tension in the string at nth harmonic is calculated as follows;

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }[/tex]

where;

n th harmonic = 3L is length of the string = 0.64 mμ is mass per unit length = (1 x 10⁻³ kg)/(0.64 m) = 0.00156 kg/mf is frequency = 100 HzT is tension in the string = ?

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }\\\\\frac{f_n(2l)}{n} = \sqrt{\frac{T}{\mu} }\\\\\frac{f_n^2(4l^2)}{n^2} = \frac{T}{\mu} \\\\T = \mu (\frac{f_n^2(4l^2)}{n^2})\\\\T = 0.00156(\frac{100^2 \times 4\times 0.64^2}{3^2} )\\\\T = 2.84 \ N[/tex]

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Related Questions

grade 9 psyhics giving brainly​

Answers

Answer:

B

Explanation:

If the liquid leaked, there would be less pressure and thus less force which is only reflected by one answer choice.

Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 89 kg, and the mass of the woman is 59 kg. The woman pushes on the man with a force of 46 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman

Answers

Answer:

Acceleration of this man: approximately [tex]0.52\; {\rm m\cdot s^{-1}}[/tex] due east.

Accelerate of this woman: approximately [tex]0.78\; {\rm m \cdot s^{-1}}[/tex] due west.

Explanation:

The question implies that the net force on the man is [tex]F = 46\; {\rm N}[/tex] due east. The mass of the man is [tex]m = 89 \; {\rm kg}[/tex]. The acceleration of the man would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{89\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due east})}{} \\ &\approx 0.52\; {\rm m\cdot s^{-2}} && (\text{due east})\end{aligned}[/tex].

In other words, the acceleration of this man would be approximately [tex]0.52\; {\rm m \cdot s^{-2}}[/tex] due east (same direction as the net force.)

By Newton's Laws of Motion, for every force there is a reaction force that is equal in magnitude but opposite in direction.

The woman in this question is applying a due east [tex]46\; {\rm N}[/tex] force on the man. Thus, this woman would experience a reaction force of the same magnitude ([tex]46\; {\rm N}\![/tex]) and opposite direction (due west) from the man. Under assumptions of the question, the net force on the woman would be [tex]\! 46\; {\rm N}[/tex] due west.

The acceleration of this [tex]m = 59\; {\rm kg}[/tex] woman would be:

[tex]\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{59\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due west})}{} \\ &\approx 0.78\; {\rm m\cdot s^{-2}} && (\text{due west})\end{aligned}[/tex].

What will be the ratio between the initial and final kinetic energy of a car, if its velocity is tripled?
A. 1:6
B. 1:7
C. 1:8
D. 1:9

Answers

Answer:b

Explanation:

You have found that the net force exerted on the cylinder depends on several different independent variables in different ways. how can you combine those separate dependencies into one equation relating the net force to the relevant independent variables

Answers

The net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.

Net force exerted on the cylinder

The net force on the cylinder is calculated from Newton's second law of motion.

F(net) = ma

F(net) = m(v/t)

where;

m is mass of the cylindera is acceleration of the cylinderv is velocity of the cylindert is time of motion of the cylinder

Thus, the net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.

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Which best compares convex and concave mirrors?

Answers

Answer:

Convex mirrors produce only virtual images, and concave mirrors produce real and virtual images

Answer:

covex Miros produce different thing like micronizamm and other things

What is the crosswind component for a landing on runway 18 if the tower reports the wind as 220° at 30 knots?

Answers

From the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

What is crosswind component?

When winds are not parallel to or directly with  the line of travel, the wind is said to have a crosswind component.

From the head wind component charts, at 220° at 30 knots, the corresponding crosswind component is 19 knots.

Thus, from the head wind component charts,  the crosswind component for a landing on runway 18 is 19 knots.

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If the current in each wire is the same, which wire produces the strongest magnetic field?.

Answers

We need the Answer options?
The magnetic field is strongest in the area closest to the wire

A periodic wave travels from one medium to another. which pair of variables are likely to change in the process?

Answers

velocity and wavelength are likely to change in the process

When a wave travels from one medium to another it undergoes a change in direction and this is referred to as refraction.Refraction is the bending of a wave or a change in direction of a wave as it travels from one medium to another. Refraction is accompanied by change in velocity and wavelength of a wave

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limestone which physical property contributes to its usefulness and how?

Answers

The limestone is hard and compact and can be grinded into fine grained calcareous rocks and this contributes to its usefulness.

What are limestones?

Limestone is a type of sedimentary rock that is mainly made up of mineral calcite (calcium carbonate, CaCO3).

Their physical properties include the following;

it can be yellow or colourless

it has coarse to fine grain size

Therefore, the limestone is hard and compact and can be grinded into fine grained calcareous rocks and this contributes to its usefulness.

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The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 6 units. Amplitude Energy 1 unit 2 units 2 units 8 units 3 units 18 units 4 units 32 units A. 66 units B. 60 units C. 72 units D. 74 units​

Answers

The energy of a wave is directly proportional to the square of the amplitude of the wave.

What is the relationship between energy and amplitude?

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

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[tex]Energy = (amplitude)^{2}[/tex]

What is energy and amplitude?

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

[tex]Energy = (amplitude)^{2}[/tex]

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = [tex](6)^{2}[/tex] = 36 units

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Can someone PLEASE explain:
Average velocity = u + v / 2

(How do you find the initial and the final velocity in a situation)

Answers

Average velocity will be the total distance divided by total time. In this case, since you have the initial velocity, u, and the final velocity, v, therefore the average
velocity will be 1/2 (u + v)

When your hand presses
down on scissors, what is your
force called?
a. input force
b. output force
c. buoyant force

Answers

Answer:

INPUT force

Explanation:

You are putting force into a machine of levers to have the output of cutting something.

When your hand presses down on scissors, the force is called input force because are applying a force into an object. Thus, option a is correct.

What is force ?

Force is an external agent acting on a body to deform it or to change its state from rest or motion. There are various kinds of force such as magnetic force, nuclear force, gravitational force etc.

Force is a vector quantity thus, it is characterised by a magnitude and direction. According to second law of motion, the force acting on a body is the product of mass and acceleration.

Hence, the force acting on a body is directly proportional to the mass. Greater the mass, greater will be the force needed to accelerate the body. When we press down on an object we are applying an input force to the object.

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Why is it important to have a closed circuit?

A. It prevents a circuit from working.
B. It prevents components from overheating.
C. It increases the resistance in the circuit.
D. It allows an electric current in the circuit.

Answers

D. It allows the flow of an electric current in the circuit.

Why is it important to have a closed circuit?

Closed circuit allows the flow of current in the circuit from the battery to the bulb. If the circuit is open then the current will not reach to the bulb or other appliances.

So we can conclude that It is important to have a closed circuit because it allows the flow of an electric current in the circuit.

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Where does the halo of a galaxy expand from?

a. the local group out to the dark matter

b. the bulge out to the edge of the disk

c. the irregular cluster out to the regular cluster

d. the edge of the disk out to the bulge

Answers

The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.

What is universe?

Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.

It went on expanding and stretched to grow as large as possible. It is still now expanding.

The universe consist of fully dark matter, interstellar gases or dust. The  This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.

The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.

Thus, the correct option is b.

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Equation for solving wavelength

Answers

Answer:

The equation for wavelength is λ = v/f

Explanation:

λ is wavelength

v = velocity

f = frequency

Wavelength= wave speed divided by frequency

What did johannes kepler contribute to the study of planets? he formulated the universal law of gravitation. he identified the first moons of jupiter. he collected detailed data that led to the proposal of the heliocentric model. he provided mathematical support for the heliocentric model.

Answers

Johannes Kepler contributed to the study of planets : He provided mathematical support for the heliocentric model.

What is Kepler's first law of planetary motion?

Kepler's first law of planetary motion states that the planets revolve around the Sun in orbits elliptical in shape with the Sun at its one of the focus.

As the planets rotate around the Sun, the relative distance between the Sun and planets increases and decreases.

The heliocentric model in which the Earth and planets revolve around the Sun at the center of the universe. Johannes gave the mathematical calculations of this model.

Thus, last option is correct.

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Answer:

D

Explanation:

a quantity that has only magnitude(size) is

Answers

Scalar quantities- I think that’s the que ur asking

two resistors 6 ohm and 3 ohm are connected in parallel and its connected with a cell of EMF 6 volt find the current through each resistors​

Answers

Answer:

See below

Explanation:

Each resistor has 6 v applied across it

rememeber

V = IR     then     V/R = I

for the 6 Ω      6 v /6Ω  = 1 amp

for the 3 Ω       6v /3Ω = 2 amp

A car is moving with constant velocity of 30m/s what is it's acceleration in 10s ​

Answers

Answer:

0 m/s²

Explanation:

Acceleration is defined as the rate of change of velocity:

[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .

As the velocity is constant, change in velocity = 0.

∴ acceleration = 0/ 10

                        = 0 m/s²

A well is being dug. A 4.5-kg bucket is filled with 28.0 kg of dirt and pulled vertically upward at a constant speed through a distance of 9.0 m. Determine the work done on the filled bucket in raising out of the hole.

Answers

The work done on the filled bucket in raising out of the hole is 2, 925 Joules

How to determine the work done

Using the formula:

Work done = force * distance

Note that force = mass * acceleration

F = mg + ma

F = 4. 5 * 10 + 28 * 10

F = 45 + 280

F = 325 Newton

Distance = 9m

Substitute into formula

Work done = 325 * 9

Work done = 2, 925 Joules

Therefore, the work done is 2, 925 Joules

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Explain the meaning and use of the following acronyms: HELIOS, Exo-FMS, HAZMAT, NIRSpec.​

Answers

Answer:

HELIOS- The god of the sun in

HAZMAT-Hazardous materials

NIRSpec- Near Infrared Spectrograph

Explanation:

The acronyms will be:

HELIOS: personification of the SunExo-FMS: EXO flexible manufacturing ystemHAZMAT: hazardous materialsNIRSpec.: Near-infrared spectroscopy

How to explain the acronyms?

HAZMAT is an abbreviation for “hazardous material that is the substances in quantities or forms that may pose a reasonable risk to health, property, or the environment.

Near-infrared spectroscopy (NIRS) is a brain imaging method that measures light absorbance to calculate oxy-hemoglobin (oxy-HB) and deoxy-hemoglobin.

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Perform the following mathematical operation and report the answer to the correct number of significant figures 143.6/21.2

Answers

Answer:

143.6/21.2

=6.773584906

=6.8

A 60.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the child

Answers

Answer:

3 because

Explanation:

60÷20=3 ans is this

A boater is accompanied by a person at least 16 years of age. In michigan, what is the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp?.

Answers

The youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

What is electric power?

It is the rate of the electric work done. Its unit is the watt. Horsepower is the unit of power.

A person under the age of 12 may only legally operate a boat with a motor that has more than 6 horsepower but no more than 35 horsepower

if they meet two requirements: they have a boating safety certificate, which they must have on board; and they are being closely watched by an adult who is at least 16 years old.

Hence the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

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Emissions from alpha decay require the least amount of shielding.

Which best describes why the emissions from alpha decay are so easily blocked compared to the emissions of other types of radioactive decay?

Answers

The particles released during alpha decay are called alpha particles. Alpha particles have greater mass and charge than other emitted particles.

Radioactive emissions are the transfer of energy through the flow of particles or waves in a mediumThere are 3 types of radioactive emissions which are alpha, beta and gammaIn alpha radiation, the nucleus emits an alpha particle which is equivalent to a helium nucleusIn beta radiation, an electron is emitted to convert a neutron to a protonIn gamma radiation, the nucleus just loses energy

Since alpha particles have more mass and charge, they are more ionising and lose more energy at a faster rate and can be blocked easily.

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A coin is located 35.0 mm from the center of a turntable which accelerates from rest to a speed of 7.95 rad/s in 0.270 s. What is the minimum coefficient of friction to avoid slippage of the coin

Answers

The minimum coefficient of friction to avoid slippage of the coin is 0.23.

Minimum coefficient of friction

The minimum coefficient of friction can determined from the maximum speed of the coin.

ma = μmg

mv²/r = μmg

v²/r = μg

v² = μgr

μ = v²/(gr)

μ = (ωr)²/(gr)

μ = ω²r/g

μ = (7.95² x 0.035)/(9.8)

μ = 0.23

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2) A ball is thrown forward horizontally from the top of a cliff
with a velocity of 10m/s as shown in the figure below. The
height of the cliff above the ground is 4.5m. Calculate
0218
R
i for position coordinates p(x, y), prove that the path of
horizontal projectile is parabolic.
[3]
ii. the time to reach the ground
[1]
iii. the distance from the cliff of the ball on hitting the ground [1]
iv. the velocity with which the ball hits the ground
[2]
v. the direction of the ball to the horizontal just before it hits the
ground.
[1]

Answers

(i) For position coordinates p(x, y),  the path of horizontal projectile is parabolic.

(ii)  The time to reach the ground is 0.96 s.

(iii) The distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground is 9.4 m/s.

(v) The direction of the ball to the horizontal just before it hits the

ground is 90 degrees.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Given is a ball is thrown forward horizontally from the top of a cliff

with a velocity of 10m/s.  The height of the cliff above the ground is 4.5m.

(i) The equation formed by the ball is at point (x,y) given by

y =yo + Voy x t - 1/2gx²

The equation is in the form of parabola.

Thus, the ball follows parabolic path.

(ii) The time to reach the ground is

t = √2h/g

t =  √(2x 4.5)/9.81

t= 0.96 s

iii) Horizontal distance traveled

R = u x t

R = 10 x 0.96

R = 9.6 m

Thus, the distance from the cliff of the ball on hitting the ground is 9.6 m.

(iv) The velocity with which the ball hits the ground.

v = √2gh

Plug the values, we get

v = √(2 x 9.81 x 4.5)

v = 9.4 m/s

(v) The direction of the ball to the horizontal will be 90 degrees just before it hits the ground.

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Calculate magnetic field strength current 3a flows in wire 2.5m and produces a force 15n

Answers

The magnetic field strength willl be 2 T. A force known as the Lorentz force acts on the charge when it is subject to an electric and magnetic field.

What is Lorentz force?

Lorentz force is defined as the force acting on point charge when it is moving in an electric and magnetic field.

The given data in the problem is ;

B is the magnetic field strength =? T.

Current, I =?

L is the length of the wire

The magnetic force is found as;

F= BIL

15 N  = B × 3 A ×  2.5 m

B = 2 T

Hence, the magnetic field strength willl be 2 T.

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how does the law of the conservation of energy relate to the first law of thermodynamics?

Answers

The first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.

What is the first law of thermodynamics?

The first law of thermodynamics is a popular law in physics that states change in internal energy is equal to the energy added and the work made by a closed system.

Moreover, the law of conservation of energy states that it cannot be created/destroyed in the Universe, which is deeply associated with principles of thermodynamics.

In conclusion, the first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.

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The law of the conservation of energy relates to the first law of thermodynamics by the fact that the former forms the basis for the latter.

What is the relationship between the law of conservation of energy and the 1st law of thermodynamics?

It follows from the study of physics that the basis for the postulation of the First law of thermodynamics is on the basis of the law of conservation of energy, which states that energy can neither be created nor destroyed, but can be transferred between forms.

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Cancer and diabetes are two common hereditary diseases.

True or False?

Answers

cancer and diabetes are in fact two common hereditary dieseases
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