Another example of square-root relationships is the relation between the speed of a wave along a string under tension and the tension itself. Suppose you hold one end of a string and attach the other end to a wall. If you hold the string taut, and wiggle the free end up and down, a wave travels along the string. If the tension in the string is 9 N, the wave travels along the string at 6 m/s; if the tension in the string is 36 N, the wave speed along the string is 12 m/s. If the tension in the string is increased to 81 N , how fast will you expect a wave to travel along the string if you wiggle its free end

Answers

Answer 1

Answer:

The right answer is "18 m/s".

Explanation:

The given values are:

Velocity,

V = 6 m/s

Tension,

T = 9 N

As we know,

⇒  [tex]V=(\frac{T}{u})^{\frac{1}{2}}[/tex]

On substituting the given values, we get

⇒  [tex]6=(\frac{9}{u} )^{\frac{1}{2}}[/tex]

⇒  [tex]36=\frac{9}{u}[/tex]

⇒  [tex]u=\frac{9}{36}[/tex]

⇒     [tex]=\frac{1}{4}[/tex]

Now,

For 81 N the velocity will be:

⇒  [tex]v=(\frac{81}{(\frac{1}{4} )} )^{\frac{1}{2} }[/tex]

⇒     [tex]=18 \ m/s[/tex]


Related Questions

Which of the following combinations would result in the least acceleration?
O SN and 0.35 kg
60N and 2.0 kg
O 12N and 1.0 kg
O IN and 0.20 kg

Answers

1N and 0.20 kg/////////

1.
A progressive wave in a stretched string has a speed of 20 ms and a frequency of 100 Hz. What is
the phase difference between two points 25 mm apart?
A zero
B pi/4 rad
c pi/2 rad
D pi tad

Answers

Answer:

Option B

Explanation:

As we know phase difference is equal to

[tex]\psi = \frac{2\pi }{\lambda} * \Delta[/tex] ----Eq (1)

where

[tex]\Delta[/tex] is the physical difference between two points = 0.025 m

[tex]\lambda[/tex] is equal to [tex]\frac{v}{f}[/tex]

[tex]\lambda = \frac{20}{100} = 0.2[/tex]

Substituting the given values in above equation, we get -

[tex]\psi[/tex] =

[tex]\frac{2\pi }{0.2} *0.025\\\frac{\pi }{4}[/tex]

Hence, option B is correct

A object is placed between the focal point and the lens of a concave lens. Where will the image be formed?

Answers

Answer:

When object is placed between convex lens and focal point, image formed is virtual and magnified which is shown in the diagram. Was this answer helpful?


9- When the moon comes in an orbit higher from earth, ......... solar eclipse are formed.
a) total
b) annular
c) partial. d) annular and partial

Answers

C partial solar eclipse are formed

a solid sphere of mass and radius 20kg and 4m is rotating with an angular velocity of 40rad/sec is accelerated uniformly to 60rad/sec in 2sec what is the torque acting on the sphere? (I=0•4MR^2)​

Answers

Answer:

1280Nm

Explanation:

torque= I×alpha(angular acceleration)

so Angular acceleration is found by the following process.

1.what are barriers that you have encountered in dancing?

2.how do you think you can overcome them?

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Answers

Answer:

heyy tell me ur yo u tube ch annel name I'll subscribe it and how many sub scriber u have friend

Explanation:

and are u from Ireland?

It takes 20 Newtons to move a box. How long will it take a 25 Watt motor to move this box 5 meters?

Answers

Answer:

With F = MA Its should take 500 Newtons

Explanation:

F = MA

The students in the diagram wanted to calculate the speed of sound. They
heard the echo 2.91
seconds after they hit
the wooden blocks
together.
They completed the
following calculation to
calculate the speed of
the sound wave 480
3.2 = 150 m/s. explain
why the answer is
incorrect and calculate the true value.​

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

m

=

32.021

¯

3

s

Define the unit of current. Name the device which is used to measure

electric current in a circuit.​

Answers

Answer:

The ampere, symbol A, is the SI unit of electric current. It is defined by taking the fixed numerical value of the elementary charge e to be 1.602 176 634 x 10-19 when expressed in the unit C, which is equal to A s, where the second is defined in terms of ΔνCs.

the device used to measure current in a circuit is ammeter

A tiger leaps horizontally from a 6.5 m tall rock with a speed of 3.5 ms. How many seconds will it take for her to land?

Answers

Answer: 1.15 s

Explanation:

Given

Height of rock h=6.5 m

The horizontal speed of tiger u=3.5 m/s

In the vertical direction, there is no initial speed

Using the equation of motion

[tex]\Rightarrow h=ut+\frac{1}{2}at^2\\\\\Rightarrow 6.5=0+\frac{1}{2}\times 9.8\times t^2\\\\\Rightarrow t=\sqrt{\dfrac{13}{9.8}}=1.15\ s[/tex]

Time taken is 1.15 s

HELP!!

Differentiate between hertz and decibel.​

Answers

Answer:

Explanation:Hertz is used to measure frequency, but decibel is used to measure intensity level.

Define Inertia.
___________✨​

Answers

Answer:

a tendency to do nothing or to remain unchanged.

Explanation:

Answer:

Inertia: The resistance an object has to a change in its state of motion.

Explanation:

Hope it helps....

Have a great day!!

As the distance from a charged object or particle increases, the strength of the electrical field
increases
decreases.
stays the same.

Answers

As the distance from a charged object or particle increases, the strength of the electrical field decreases

help me please this is science

Answers

probably D

if not then c

10 Waves Question 2 of 10 A wave travels at a speed of 74 m/s. If the distance between crests is 12 m, what is the frequency of the wave? Use j A. 0.16 Hz B. 6.2 Hz C. 890 Hz D. 62 Hz SUBMIT​

Answers

Answer: B  6.2 Hz

Explanation:  Equation for waves v = λf.

Frequency = speed / wavelength    f = v/λ

   f = 74 m/s / 12 m = 6.166... Hz

Answer:

Rounding is necessary: the answer is 6.2 Hz

Explanation:

What is chemical energy?

Answers

Answer:

Chemical energy is the energy of chemical substances that is released when they undergo a chemical reaction and transform into other substances. Some examples of storage media of chemical energy include batteries, food, and gasoline.

e Which of the following particles that may be emitted in radioactive decay is not ionising?
A alpha
B beta minus
C neutron
D beta plus

Answers

Explanation:

C. neutron.

it does not contain ionizing characteristics.

hope it helps. :)

Apply: The earth's gravity is pulling on you. Are you pulling on the earth? Explain your
reasoning.

Answers

Answer:

Yes, you are pulling on Earth. Reasoning. Third Newton's law of motion, action and reaction law, sates that for every action force, there is an equal (in magnitude) and opposite reaction force.

Explanation:

goo gle.

Help me please I need to turn it in before midnight...

Answers

Answer:

The statement which explains how the total time spent in the air is affected as the projectile's angle of launch increases from 25 degrees to 50 degrees is;

C. Increasing the angle from 25° to 50° will increase the total time spent in the air

Explanation:

The equation that can be used to find the total time, T, spent in the air of a projectile is given as follows;

[tex]T = \dfrac{2 \cdot u \cdot sin(\theta) }{g}[/tex]

Where;

T = The time of flight of the projectile = The time spent in the air

u = The initial velocity of the projectile

θ = The angle of launch of the projectile

g = The acceleration due to gravity ≈ 9.81 m/s²

Given that sin(50°) > sin(25°), when the angle of launch, θ, is increased from 25 degrees to 50 degrees, we have;

Let T₁ represent the time spent in the air when the angle of launch is 25°, and let T₂ represent the time spent in the air when the angle of launch is 50°, we have;

[tex]T_1 = \dfrac{2 \cdot u \cdot sin(25^{\circ}) }{g}[/tex]

[tex]T_2 = \dfrac{2 \cdot u \cdot sin(50^{\circ}) }{g}[/tex]

sin(50°) > sin(25°), therefore, we have;

[tex]\dfrac{2 \cdot u \cdot sin(50^{\circ}) }{g} > \dfrac{2 \cdot u \cdot sin(25^{\circ}) }{g}[/tex]

Therefore;

T₂ > T₁

Therefore, increasing the angle at which the projectile is launched from 25° to 50° will increase the total time spent in the air.

If Styrofoam has a specific heat of 1131 J/kg°C, how much energy would it take to change a 0.5 kg Styrofoam cooler from 15°C to 2°C?

Answers

Answer:

.

Explanation:

Which animals are cold-blooded, obtain dissolved oxygen in water through gills, have scales, have fins, and live in water

Answers

Answer:

Sea fish

Explanation:

Sea fish doesn't breath through their gills but dissolved oxygen in water through gills

What is the necessary conditions for the production of sound?

Answers

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Answer: Something that's vibrating, and you also need medium for those vibrations to start in.

I hope this helped!

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When is rotational inertia the greatest?

Answers

Answer:

Higher moments of inertia indicate that more force has to be applied in order to cause a rotation whereas lower moments of inertia means that only low forces are necessary. Masses that are further away form the axis of rotation have the greatest moment of inertia.

Gordo noted that the more airplanes he sold, the more money he made. This was:

directly proportional

inversely proportional

indirectly proportional

Answers

Answer:

Its indirectly Proportional

Explanation:

Explain in detail why you cannot hear in space but you can see light(explanation includes particle movement of liquid, solids, gases, and plasma)

Answers

Answer:

The reason why one cannot hear in space but light can be seen is because light and sound are different kinds of wave

Light is an electromagnetic wave that propagates by a changing magnetic field hat creates a changing electric field. Light is created by a vibrating electric charge, and is transmitted through a medium by the absorption and reemission of the light by the medium particles

Sound is a longitudinal mechanical wave that is propagated by the vibration of the particles of the medium.

Sound requires a medium to propagate and it cannot be propagated or heard through space which is a vacuum.

Sound is created by a source that is vibrating and the vibration is transmitted to particles in the medium including solids, liquids, gases and plasma that the vibrating energy is in direct contact with and the transfer of the sound energy continues between layers of adjacent particles for the medium for the sound to be propagated from place to place

Explanation:

Help me solve this please

Answers

Hey there!

Based on the info this planet is likely to be located near the sun. If you would like to be exact it would be between Mercury and Venus. This is because it’s orbital period is half a year, Venus is about 3/4 of a year, and Mercury is about 1/3 of a year. Hopefully this helps! Good luck!

What is the difference in average speed between a car that traveled 150 kilometers in 5 hours and another that traveled 130 kilometers in the same time? Just write the number.

Answers

i think it’s 1,150 but if i’m wrong i’m sorry

PLZ HELP ME ASAP!!! 50 POINTS IF CORRECT! AND BRAINLEST

Answers

Answer:

B and C is the Answer

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Mark brainliest

What is the mass of an object moving at a speed of 10.0 m/s with a kinetic energy of 760 J?

Group of answer choices

150 kg

0.26 kg

3.8 kg

15 kg

7.6 kg

Answers

Answer:

E

Explanation:

A + 32.2 μC charge feels a 0.544 N force from a + 12.3p μC charge. How far apart are they? (u stands for micro.) [?] m

Answers

Answer:

r = 2.55 m

Explanation:

Given that,

First charge, q₁ = 32.2 μC

Second charge, q₂ = + 12.3 μC

The force between charges, F = 0.544 N

We need to find the distance between charges. The force between two charges is given by the formula as follows :

[tex]F=k\dfrac{q_1q_2}{r^2}\\\\r=\sqrt{\dfrac{kq_1q_2}{F}} \\\\r=\sqrt{\dfrac{9\times 10^9\times 32.2\times 10^{-6}\times 12.3\times 10^{-6}}{0.544}} \\\\r=2.55\ m[/tex]

So, the charges are 2.55 m apart.

Answer:

2.55

Explanation:

Right on Acellus

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