A tortoise can move with a speed of 10.0cm/s, while a rabbit can move 10 times faster. In a race, both of them started at the same time, but the rabbit stopped to rest for three minutes. The tortoise wins by a distance of 10cm from the rabbit. How long is the race?

A. 125.2s
B. 159.8s
C. 199.9s
D. 205.7s​

Answers

Answer 1

Answer:

C. 199.9 s

Explanation:

3 minutes = 3×60 = 180 seconds.

the turtle moves in that time 180×10 = 1800 cm.

in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).

the rabbit moves with 10×10cm/s = 100cm/s.

the rabbit needs therefore 1800/100 = 18 seconds for the

1800 cm.

at that time the turtle has added another 18×10 = 180 cm.

for which the rabbit needs 180/100 = 1.8 seconds.

during that time the turtle has added 1.8×10 = 18 cm.

and so on.

in formal mathematics this looks like this :

1800 + 10x = 100x

after x seconds of the rabbit running both will have run the same distance, and it is a tie.

1800 = 90x

x = 20 seconds

so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm

and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.

but our question tells us that the turtle won by 10 cm.

so, the race was over a little bit before these 200 seconds (for a tie).

this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).

the rabbit would have needed 10/100 seconds for these 10 cm.

as speed = distance/time

we need to divide distance by speed

distance/1 / distance/time

to get time.

so,

10cm/1 / 100cm/s = 10s/100 = 1/10 s

so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).

the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).

and so, the race was 199.9 s long.


Related Questions

If a radioactive decay produced 2. 05 × 1011 j of energy, how much mass was lost in the reaction?

Answers

The mass lost in the reaction is 0.227 × [tex]10^{-5}[/tex] Kg

The energy that is released during a nuclear reaction can be related to the mass lost using the Einstein equation.

E = m[tex]c^{2}[/tex] by Einstein demonstrates that matter and energy are only two different manifestations of the same thing. It also demonstrates how much energy (E) can fit into a relatively small mass (m) of matter. Nuclear processes convert matter into energy, yet the combined amount of mass and energy remains constant.

Given that;

E = Δ[tex]mc^{2}[/tex]

Δm = [tex]\frac{ E}{c^{2} }[/tex]

Δm =  2. 05 × 10^11  J/( 3 × 10^8)^2

Δm = 0.227 × [tex]10^{-5}[/tex] Kg

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Which is expected to happen during El Niño?
A) Drought conditions in Australia
B) Cool temperatures in the equatorial Pacific
C) An increase in the pressure gradient
D) Unusually high fish yields in Peru

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A. Drought conditions in Australia are expected to happen during El Niño.

What is El Nino?

El Niño is a normal cycle occurrence of a change in temperatures on the surfaces of the central equatorial, and east equatorial waters of the Pacific Ocean.

The result of this phenomenon which changes the weather condition taking place on the surfaces of the Pacific Ocean is a change in the climate temperatures around the globe, and also the development of weather changes that will affect different parts of the world in different ways.

Hence, drought conditions are a period of time when an area or region experiences below-normal precipitation and El Nino's normal cycle's occurrence changes temperature.

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What is meant by a "chain reaction"?

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A b c d e f g h i j k l m n o p q r s t u v w x y z

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u = , v =

Answers

The vector u represents the sum of two orthogonal vectors, and which can be written as,

[tex]u=Proj_vu+(u-Proj_vu)[/tex].

To find the answer, we have to know about the projection of vectors.

How to write u as a sum of two orthogonal vectors?Let u and v are two vectors, then the projection of the vector u onto the vector v is given by

                               [tex]Proj_v u=\frac{u.v}{v.v} v[/tex]  (inner product)

let  

              [tex]u=(u_1,u_2)\\v=(v_1,v_2)[/tex]    then, projection of u on v is,

                              [tex]Proj_vu=\frac{u_1v_1+u_2v_2}{v_1v_1+v_2v_2} (v_1,v_2)[/tex]

Then, u can be written as the sum of two orthogonal vectors as,

                 [tex]u=Proj_vu+(u-Proj_vu)[/tex]

Thus, we can conclude that, the vector u represents the sum of two

orthogonal vectors, and which can be written as,

[tex]u=Proj_vu+(u-Proj_vu)[/tex].

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An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is ____.

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An astronomical telescope has an objective lens with a focal length of 160 cm and an eyepiece lens with a focal length of 5 cm. the magnification of this telescope is 120

A telescope that is intended for seeing celestial bodies and does not need an image-erecting device is anastronomical telescope. While terrestrial telescopes are used to examine faraway objects on earth, astronomical telescopes are used to observe distant stars and planets.

While the final image in the terrestrial telescope is upright, the final image in the astronomical telescope is inverted.  Telescopes gather and enlarge the light coming from far-off objects. Observing things in the night sky presents challenges since they are so far away and, as a result, appear so dim. We can see these things more clearly the more light a telescope can gather.

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Describe the usefulness or inconvenience of frictional force by turning a door knob.

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The cylinder is pulled in the direction of the knob's turn. If the knob is not twisted, a latch at the end of the cylinder that extends into a recess in the doorframe stops the door from being opened.

What is Frictional force ?

The opposing force that is produced when two surfaces attempt to move in the same direction or in opposite directions is known as frictional force. A frictional force is primarily intended to produce resistance to the mobility of one surface over another.

Between solid surfaces, there is friction that is static, sliding, and rolling. The three types of friction are ranked from strongest to weakest: rolling, sliding, and static. Fluids experience fluid friction, which is liquid or gaseous.

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Find the critical value of t for a two-tailed test with 14 degrees of freedom using = 0. 5

Answers

The critical value of t for a two-tailed test with 14 degrees of freedom using = 0. 5 is ±164.5577.

In hypothesis testing, critical values are one of the two approaches which allow you to decide whether to retain or reject the null hypothesis.

The critical value approach consists of checking if the value of the test statistic generated by your sample belongs to the so-called rejection region, or critical region, which is the region where the test statistic is highly improbable to lie. A critical value is a cut-off value (or two cut-off values in case of a two-tailed test) that constitutes the boundary of the rejection region(s). In other words, critical values divide the scale of your test statistic into the rejection region and non-rejection region.

To determine critical values, you need to know the distribution of your test statistic under the assumption that the null hypothesis holds. Critical values are then the points on the distribution which have the same probability as your test statistic, equal to the significance level α. These values are assumed to be at least as extreme at those critical values.

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What does friis free space loss (fsl) tell us about unguided transmission attenuation? fsl=(4πd/λ)2

Answers

When we consider unguided wireless communications, we must understand the signal attenuation that occurs between transmit and receive antennas.

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The signal power (watts) received by the antenna is much less than the transmitted power due to attenuation loss. The Friis equation (also known as the Free Space Loss, FSL equation) describes this attenuation loss.Attenuation, as treated in the Friis equation, is the spreading of power over an ever increasing surface area as it propagates away from the transmit antenna.

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Power Density, Pd = Pt/(4πd2)

where the (λ/4πd)2 term is sometimes referred to as the path loss or free space loss. The following definitions are assumed:

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We can also place the above equation into decibel format:

FSLdB = [FSL] = 20log10(4πd/l) = 20log10(4π) + 20log10(d) - 20log10(l)

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A particle of mass 16kg travelling with a velocity of 10m/s is acted upon by a steady force of friction in a direction opposite that of its motion. Find the speed of the particle after 10 seconds if the force of friction is 25N.​

Answers

The speed of the particle after 10 seconds is, 25.88m/s.

To find the answer, we have to know more about the equations of motion.

How to find the speed of the particle after 10s?It is given that,

                          [tex]m=16kg\\u=10m/s\\t=10s\\f=25N[/tex]

It is clear from the question that, the motion is balanced by the frictional force. Thus, the acceleration will be,

                        [tex]ma=f\\a=\frac{f}{m} =\frac{25}{16}=1.6m/s^2[/tex]

We have the equation of motion for the distance travelled as,

           [tex]S=ut+\frac{1}{2}at^2=(10*10)+(\frac{1.6*10^2}{2})=178.13m[/tex]

Thus, by another equation of motion connecting a, S, and u, we get the final speed after 10s as,

                [tex]v=\sqrt{u^2+2aS} =\sqrt{10^2+(2*1.6*178.13)} =25.88m/s[/tex]

Thus, we can conclude that, the speed of the particle after 10 seconds is, 25.88m/s.

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A ball of mass 4 kg is initially traveling at 2 m/s and has a 5 N force
applied to it for 3 s. What is the impulse applied to the ball?
A. 23 kgm/s
B. 12 kgm/s
C. 5 kgm/s
D. 15 kgm/s

Answers

Answer:

D. 15 kgm/s is the value of impulse applied

. Greetings !

Given values mass(m) =4kginitial velocity (u) =2 m/sForce(F) =5NTime (t) =3 sec

required valueImpulse = ?

Solution :[tex]impulse = force \times  Δtime \\ impulse = (5) \times (3)...substitute \: values \\ impulse = 15kgm/s[/tex]

During which stage of technological design did shuman identify that using oil and coal would be a problem?

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First stage of technological design did shuman identify that using oil and coal would be a problem.

What is part of the first stage in the process of technological design?

The technological design process involves the steps of identifying an issue, researching it, coming up with potential solutions, choosing the best one, building a model, testing it, making adjustments as necessary, and communicating the final answer.

What is part of the fourth stage in the process of technological design?

The four stages of technological design include identifying a need, designing and implementing a solution, and evaluating the solution.

Steps in the Technological Design Process-

Identify the problem. For any new technology to come into existence, there needs to be a need or a desire. Research the problem.Generate possible solutions.Select the best solution.

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Consider the diver and the diving board. which object exerts the action force? which object exerts the reaction force? in what direction does the action force push? in what direction does the reaction force push?

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action force by Diver, the reaction force is by Diving board, direction of action force is down,  direction of reaction force is up.

What is Action and Reaction force?

Forces, often known as action and reaction forces, always act in pairs. The force exerted by the initial action on an item is known as the action force, and the force exerted in the opposite direction by the object is known as the reaction force.

Which object exerts the action force?

diver

Which object exerts the reaction force?

diving board

In what direction does the action force push?

down

In what direction does the reaction force push?

up

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Answer:

Which object exerts the action force?

diver

Which object exerts the reaction force?

diving board

In what direction does the action force push?

down

In what direction does the reaction force push?

up

Explanation:

How do the current and coltage readings compare to before the wires were switched. Explain how to interpret them physically?

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The potential difference between two locations in an electric circuit is measured using a voltmeter.If the electricity passes through the voltmeter it shows deflection.

What is the purpose of a voltmeter?A voltage meter, usually referred to as a voltmeter, is a device that measures the voltage, or potential difference, between two points in an electrical or electronic circuit.volts is the unit of voltmeter(volts, millivolts, kilovolts)

What is the explanation for the link between current and voltage?Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant.

What is ohm's law in circuit?V = IR, where V is voltage, I is current, and R is resistance, is known as Ohm's Law. If you know the voltage of the battery in the circuit and how much resistance is in the circuit, you may use Ohm's Law to identify properties of a circuit, such as how much current is flowing through it.

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current is passed through two parallel conductors in the same direction. If the conductors are placed near each other,they will​

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If current is passed through two parallel conductors in the same direction and the conductors are placed near each other, they will​ attract each other.

What is electric current?

Electric current can be defined as the flow of electrons.

Since electrons are easily removed from atom and are very mobile, the flow of electrons constitute an electric current.

Materials which allow electric current to flow through them are known as conductors. Examples of conductors are metals, and electrolytes.

On the other hand, materials which do not allow electric current to pass through them are known as insulators. Examples of insulators are wood and rubber.

The flow of current is known as electricity.

Parallel conductors with current flowing through them in the same direction are attracted to each other as a result of a magnetic field produced by the flow of current.

In conclusion, conductors allow electric current to pass through and the flow of current through a conductor produces a magnetic field.

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What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice?

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What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).

What is national provider identifier (NPI)?

A National Provider Identifier is a unique 10-digit identification number issued to health care providers in the United States by the Centers for Medicare and Medicaid Services.

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The box 24j Shaded is used to identify the non-NPI if indicated by a qualifier in 24i.

The box 24j displays the NPI of the Rendering Provider.

Thus, what is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).

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What is the maximum velocity (in m/s) of electrons ejected from a material by 85 nm photons, if they are bound to the material by 4. 66 ev?

Answers

The maximum velocity of electrons is  v = 3.20 × 10¹⁵ m/s

The wavelength of photons λ = 85 nm

W = 4.66 ev

What is photoelectric effect and how velocity of photoelectrons is calculated?

     The emission of electrons happened and absorbed through the electromagnetic radiation is said to be photoelectric effect.

Photoelectric cells, photodiodes works on the principle of photoelectric effect.

According to of photoelectric effect,

                          E = hν

        Here,  hc / λ = W + KE max

                    hc / λ =  W + 1/2 mv² max

               

                   v² =  sqrt of (( hc / λ - W) (2/m))

                   I cap denotes λ ,

substituting all the values,

 v = sqrt of ( (6.623 × 10⁻³⁴ Js ) ( 3 × 10⁸ m/s) / (85 nm) - 4.66ev) (2/  9.1× 10⁻³¹

   v = sqrt of ((1.987800 ×  10⁻²⁵ / 85 × 10 ⁹ ) - 4.66 ev ) ( 2.197 × 10³⁰)          

   v = sqrt of ((2.338588 × 10⁻³⁶) - 4.66 ev ) ( 2.197 × 10³⁰)3.2

   v = 3.20 × 10¹⁵ m/s

Thus, the maximum velocity is calculated as  v = 3.20 × 10¹⁵ m/s.

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Write 3 – 4 sentences to describe the kinetic and potential energy of a particle and how the two terms are related.

Answers

Potential energy is position relative, and kinetic energy is motion relative. The primary relationship between the two is their ability to transform into each other. In other words, potential energy transforms into kinetic energy, and kinetic energy converts into potential energy, and then back again.

Potential energy defined as :

The energy stored in a body due to either its position or change in shape is known as potential energy. Water stored in a reservoir is an example of potential energy.

PE=mgh

where,

PE is the potential energy

m is the mass of the body

g is the acceleration due to gravity

h is the height above the surface of the earth

Kinetic energy is defined as :

Kinetic energy is the energy of motion, observable as the movement of an object, particle, or set of particles. Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.

Kinetic Energy Formula:

For the Kinetic formula, Ek, is certainly the energy of a mass, m, motion, of course, is v2.

KE = [tex]\frac{1}{2} mv^{2}[/tex]

KE = Kinetic energy

m = mass of the body

v = velocity of the body

What are the similarities between potential energy and kinetic energy?

One of the most important similarities between potential energy and kinetic energy is that they can both be converted into each other's form of energy. When a force is applied to potential energy it converts to kinetic energy. This means that when an object such as a ball is still it has the potential to move.

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A resistor dissipates 2. 00 ww when the rms voltage of the emf is 15. 0 vv. part a at what rms voltage will the resistor dissipate 14. 0 ww ?

Answers

At rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.

The term "alternating current" (AC) describes a current in which the voltage and current both take the shape of sinusoidal waves. Root mean square value is indicated by the letter "rms." Both the mean voltage and mean current of an alternating circuit are represented by it.

Also, power dissipated is

P = [tex]V^{2} _{rms}[/tex] / R

2 = [tex]15^{2}[/tex] / R

2 = [tex]\frac{225}{R}[/tex]

R = 112Ω

If P = 14 W,

[tex]V^{2} _{rms}[/tex] = PR

[tex]V^{2} _{rms}[/tex] = 14×112

[tex]V^{2} _{rms}[/tex] = √1568 = 39.59V

Therefore, at rms voltage ([tex]V_{rms}[/tex]) = 39.59V resistor will dissipate 14.0W.

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Which best explains the forces acting on the objects?

Objects W and X have balanced forces, and objects Y and Z have unbalanced forces.
Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.
Objects X and Y have balanced forces, and objects W and Z have unbalanced forces.
Objects X and Z have balanced forces, and objects W and Y have unbalanced forces.

Answers

The option that best explains the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.

How do you know if forces are balanced or unbalanced?

When the motion of an object is said to be altered, the forces are known to be in a sate that is seen as unbalanced.

Note that  Balanced forces are said to be one that are equal in size and also opposite in direction.

Hence, if forces are balanced, there is no alteration in motion and it is seen in cases if a person is pushed or pulled on an object that is seen from opposite directions but also has the same force.

Therefore, The option that best talks about the forces acting on the objects is that option b. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces as it does better justice to it.

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If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.

a. true
b. false

Answers

If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .

Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.

According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.

According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.

since, potential energy is stored in the form of work done

Work done = Fs cos (theta)

If force always acts perpendicular to an object's direction of motion

theta =   90 °

cos (90 ) = 0

Work done  = 0

since , there is no work done , hence kinetic energy will not change

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How deep under the surface of a lake would the pressure be double that at the surface? (1 atm = 1.01 x 105 pa)

Answers

At depth of  h = 10.31 m  the surface of a lake would the pressure be double that at the surface

Liquid pressure is the increase in pressure at increasing depths in a liquid. This pressure increases because the liquid at lower depths has to support all of the water above it.

We calculate liquid pressure using the equation liquid pressure = density x acceleration due to g  x depth in fluid.

At the surface of the lake , pressure Po is = 1.01 * [tex]10^{5}[/tex]  Pa

to find = depth under the surface of a lake would the pressure be double that at the surface

Pressure under the surface will be = 2 *  1.01 * [tex]10^{5}[/tex]  Pa = 2.02 *  [tex]10^{5}[/tex]  Pa

Pressure under the surface = Po + ( rho * g * h )

                    2.02 *  [tex]10^{5}[/tex]        = 1.01 * [tex]10^{5}[/tex]   + (1000 * 9.8 * h)

                     1.01 * [tex]10^{5}[/tex]   = 1000 * 9.8 * h

                     h = 10.31 m

At depth of  h = 10.31 m  the surface of a lake would the pressure be double that at the surface

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Q.9 And Q.10 correct answer with explaination

Answers

The option c will be correct in Q10.            

What is angular velocity?

Time rate at which an object rotates about axis or at which angular displacement between two bodies changes.

We have given is

r=4i , angular acceleration =   4j

 v= radius×angular acceleration

v= 4i ×k

v=16j

When we cross i× k = j

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Select the correct answer. which of these is a scalar quantity? a. acceleration b. displacement c. length d. velocity

Answers

Answer:

length

Explanation:

A 4. 137-m long pipe is in a room where the temperature is 16. 164 oc. what is the frequency of the third harmonic if the pipe is closed at one end?

Answers

The frequency of the third harmonic if the pipe is closed at one end is = 102.93  Hz.

How can we find the frequency of the third harmonic if the pipe is closed at one end?

To find the frequency of the third harmonic if the pipe is closed at one end, we use the formula,

[tex]f_{n} =nf_{1}[/tex]=[tex]n\frac{v}{4L}[/tex]  , in this case n= 1,3,5,7,9.....

Here we are given,

L= The length of the pipe = 4.137 m.

v= speed of the sound at 16.164°C .

[tex]v_{0}[/tex]= speed of the sound at 0°C.=331 m/s

Before finding the frequency we have to find the speed of the sound at 16.164°C. To find v, we are using the formula,

[tex]v=v_{0 } \sqrt{\frac{T_{2} }{T_{1} } }[/tex]=[tex]331\times \sqrt{\frac{(273+16.164) }{273 }[/tex]=340.65 m/s.

We have to find the frequency of the third harmonic, so according to the question, n=5

Now we put the known values in the first equation, we can find that

[tex]f_{n}=n\frac{v}{4L}[/tex]

Or,[tex]f_{n} = 5\times\frac{340.65}{4\times 4.137}[/tex]=102.93 Hz.

Therefore, from the above calculation we can conclude that if the pipe is closed at one end the frequency of the third harmonic is 102.93 Hz.

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When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. What is the metal's work function (also called the binding energy)?

Answers

When a metal is illuminated by light, photoelectrons are observed provided the light's wavelength is less than 669 nm. The work function will be 0.030 * [tex]10^{-17}[/tex] J

The work function (or work function) is defined as the minimum amount of thermodynamic work (i.e. energy) required to remove an electron from a solid to a point in the vacuum immediately outside the solid surface.

When light of suitable frequency falls on a metal surface, electrons are emitted. These photo (light) generated electrons are called photoelectrons

h = 6.62 x [tex]10^{-34}[/tex] J/Hz

c = 3 * [tex]10^{8}[/tex] m/s

lambda = 669 * [tex]10^{-9}[/tex] m

work function = h*c/lambda

                       = 6.62 x [tex]10^{-34}[/tex]  * 3 * [tex]10^{8}[/tex] /  669 * [tex]10^{-9}[/tex]

                       = 0.030 * [tex]10^{-17}[/tex] J

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Compute the velocity of an electron that has been accelerated through a difference of potential of 100 volts. express your answer in meters per second

Answers

The velocity of an electron that has been accelerated through a difference of potential of 100 volts will be 5.93 * [tex]10^{6}[/tex] m/s

Electrons move because they get pushed by some external force. There are several energy sources that can force electrons to move. Voltage is the amount of push or pressure that is being applied to the electrons.

By conservation of energy, the kinetic energy has to equal the change in potential energy, so KE=q*V. The energy of the electron in electron-volts is numerically the same as the voltage between the plates.

given

charge of electron = 1.6 × [tex]10^{-19}[/tex] C

mass of electron  = 9.1 × [tex]10^{-31}[/tex] kg

Force in an electric field = q*E

potential energy is stored in the form of work done

potential energy = work done = Force * displacement

                                                   = q * (E * d)  

                                                   = q * (V) = 1.6 × [tex]10^{-19}[/tex] * 100

stored potential energy = kinetic energy in electric field

kinetic energy = 1/2 * m * [tex]v^{2}[/tex]

                        = 1/2 *  9.1 × [tex]10^{-31}[/tex] *  [tex]v^{2}[/tex]

equation both the equations

1/2 *  9.1 × [tex]10^{-31}[/tex] *  [tex]v^{2}[/tex] = 1.6 × [tex]10^{-17}[/tex]

[tex]v^{2}[/tex] = 0.352 * [tex]10^{14}[/tex] m/s

[tex]v^{2}[/tex] = 35.2 * [tex]10^{12}[/tex]

    = 5.93 * [tex]10^{6}[/tex] m/s

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Calculate the wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s

Answers

The wavelength of an electron (m = 9. 11 × 10^-28 g) moving at 3. 66 × 10^6 m/s will be  0.197 * [tex]10^{-12}[/tex] m

De Broglie wavelength is an important concept while studying quantum mechanics. The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.

momentum (p) = mv

DE Broglie wavelength = lambda = h / p

where

h = plank's constant

m = mass of electron

v = velocity of electron

lambda = h / mv

            = 6.633 * [tex]10^{-34}[/tex] / 9. 11 × [tex]10^{-28}[/tex] *  3. 66 × [tex]10^{6}[/tex]

            = 0.197 * [tex]10^{-12}[/tex] m

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I WILL MARK YOU BRAINLIEST IF YOU CAN ANSWER THIS QUESTION.

Answers

Answer:

23.07°

Explanation:

sorry the picture is a little messy!! in a car ride haha. hope this helps!<3

what are the importance of wedge?

Answers

A wedge is a machine and it is used for separating bodies.

The Wedge as a Machine

The wedge is a combination of two inclined planes. When the wedge is driven into a body by an effort force, a much larger force will be exerted to each side by the wedge surfaces.

What are the importance of wedge?

A wedge is used to separate bodies which are held together by large forces example of this scenario is splitting of timber. A wedge is a machine and the example of wedge - type of machine are;

AxesChiselKnivesCutting tools

Note that a thin wedge has a higher mechanical advantage than a short thick one.

Therefore, a wedge is a machine and it is used for separating bodies.

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Suppose i create a two-slit interference pattern using light with some wavelength lambda and slits with some separation d. If i were to increase lambda, what would happen to the interference pattern on the wall?.

Answers

If we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.

What is two - slit interference?

The double or two-slit interference is a demonstration that light and matter can display characteristics of both classically defined waves and particles.

It  also displays the fundamentally probabilistic nature of quantum mechanical phenomena.

During a two-slit interference experiment, a beam of light is aimed at a barrier with two vertical slits.

The fringe  width is given by the relation

fringe width = λ L / D

where;

λ is wavelength of light used, L is distance of wall from the source of light and D is slit separation.

Thus, if we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.

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