An experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. If the accepted value for the wave speed is 63 m/s, what is the percent error? 0.045% 0.048% 4.5% 4.8%

Answers

Answer 1

4.8 is the correct answer

Answer 2

Answer:

4.8%

Explanation:

percentage error can be calculated as the difference between the theoretical and experimental value divided by the experimental value expressed in percentage.

The percentage error can be  computed mathematically as

(accepted value - experimental value)/accepted value × 100

accepted value = 63 m/s

experimental value = 66 m/s

difference = 63 - 66 = -3 m/s

use the absolute value = 3 m/s

percentage error = (accepted value - experimental value)/accepted value × 100

percentage error = 3/63 × 100

percentage error = 300/63

percentage error = 4.76%

percentage error = 4.8%


Related Questions

what are 3 adjectives that describe a super bowl crowd

Answers

Loud
Crazed
Herd-like
Irrational
Deafening
Primitive
Possessed
Tribal

A wooden block has a mass of 562 g and a volume of 72 cm3. What is the density?

15 points !!!!!!!!!!!

Answers

Answer:

Density of the wooden block is [tex]7805.5\ kg/m^3[/tex]          

Explanation:

It is given that,

Mass of the wooden block, m = 562 g = 0.562 kg

Volume of the block, [tex]V=72\ cm^3=7.2\times 10^{-5}\ m^3[/tex]

We need to find the density of the block. Mass per unit volume of an object is called its density. It is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]d=\dfrac{0.562\ kg}{7.2\times 10^{-5}\ m^3}[/tex]

[tex]d=7805.5\ kg/m^3[/tex]

So, the density of the wooden block is [tex]7805.5\ kg/m^3[/tex]. Hence, this is the required solution.

Density of a Material

The density of a material is defined as the mass per unit volume

it formula is given as

Density = Mass/Volume

and the unit is g/cm^3

Explanation:

Given data

Mass = 562 g

Volume = 72 cm3

Hence the density is expressed as

Density =  562 /72

Density = 7.80 g/cm^3

therefore the density is 7.80 g/cm^3

for more information on density see the link below

https://brainly.com/question/17780219

Does someone have this??

Answers


Let's now answer number 1:

Momentum is mass x velocity

p = mv

Block 1 is 10.00kg and is moving at a speed of 4.50m/s. Just put in what you know to get the answer:


p= 10.00kg x 4.50 m/s = 45 kg.m/s

The momentum of block 1 is 45 kg.m/s.

2. In a collision if one object bumps into another object and they both travel the same direction, the scenario would be considered as a PERFECT inelastic collision. 

We can solve for unknowns using this formula:

[tex]m_{1}v_{1i}+m_{2}v_{2i} = (m_{1}+m_{2})v_{f}[/tex]
Where:
m1 = mass of object 1
m2 = mass of object 2
v1i = velocity of object 1 before collision
v2i = velocity of object 2 before collision

So before we solve for what you need, let's list down what you know based on the problem. 
m1 = 10.00kg (Block1)
m2 = 25.0kg   (Block2)
v1i = 4.50 m /s (Block1)
v2i = 0 m/s       (Block2)

You may be wondering why the velocity of object 2 is 0m/s. Well, the problem says that Block 2 was initially at rest, then that means it is not moving, so it's speed would be 0 m/s.

Now use the formula and put in what you know and derive what you do not know. 

[tex]m_{1}v_{1i}+m_{2}v_{2i} = (m_{1}+m_{2})v_{f}[/tex]
[tex](10.00kg)(4.50m/s)+(25.0kg)(0m/s) = (10.00kg + 25.00kg)v_{f}[/tex]
[tex](45kg.m/s)+(0) = (35kg)v_{f}[/tex]
[tex](45kg.m/s)= (35kg)v_{f}[/tex]
[tex] \frac{45kg.m/s}{35kg} = v_{f} [/tex]
[tex]1.29m/s = v_{f}[/tex]

Final velocity or vf of both blocks after collision is 1.29m/s.

3. To get the momentum after collision,just keep in mind that momentum is conserved even after collision. So your answer would be 45kg.m/s. If it is necessary for you to solve for it, just solve for it using the equation on the right side, which is (m1+m2)vf.

(m1+m2)vf
=(10.00kg+25.0kg)(1.29m/s)
=(35kg)(1.29m/s)
=45.15kg.m/s or 45 kg.m/s

As for the next problem, a cannon being fired is also considered a collision and this type of collision is called explosion, where the momentum before and after collision is zero. Why? Because before firing, the ball is not moving and neither is the cannon. 

So now that we know this, using the formula of explosion we can solve for what we need.

[tex]m_{1}v_{1}+m_{2}v_{2}=0[/tex]

Where:
m1 = mass of object 1
m2 = mass of object 2
v1= velocity of object 1
v2 = velocity of object 2

[tex]m_{1}v_{1}+m_{2}v_{2}=0[/tex]
[tex](450kg)(v1) + (2.75kg)(23.2m/s)=0[/tex]
[tex](450kg)(v1) + (63.8kg.m/s)=0[/tex]
[tex](450kg)(v1) =0 - 63.8kg.m/s[/tex]
[tex](450kg)(v1) =- 63.8kg.m/s[/tex]
[tex]v1 = \frac{-63.8k.m/s}{450kg} [/tex]
[tex]v1 = -0.14 m/s[/tex]

The cannon travelled -0.14m/s. 
Notice that the value is negative, this means that it went the opposite direction it initially traveled or it traveled backwards. 

What mass of electrons would be required to just neutralize the charge of 4.8 g of protons?

Answers

Let's calculate the total charge of M=4.8 g=0.0048 kg of protons.
Each proton has a charge of [tex]q=1.6 \cdot 10^{-19} C[/tex], and a mass of [tex]m_p = 1.67 \cdot 10^{-27}kg[/tex]. So, the number of protons is
[tex]N_p = \frac{M}{m_p}= \frac{0.0048 kg}{1.67 \cdot 10^{-27}kg}=2.87 \cdot 10^{24}[/tex] And so the total charge of these protons is [tex]Q_p = qN_p = (1.6 \cdot 10^{-19}C)(2.87 \cdot 10^{24})=4.6\cdot 10^5 C[/tex]

So, the neutralize this charge, we must have [tex]N_e[/tex] electrons such that their total charge is
[tex]Q_e = -4.6 \cdot 10^5 C[/tex]
Since the charge of each electron is [tex]q_e = -1.6 \cdot 10^{-19}C[/tex], the number of electrons needed is
[tex]N_e = \frac{Q_e}{q}= \frac{-4.6 \cdot 10^5 C}{-1.6 \cdot 10^{-19}C}=2.87 \cdot 10^{24} [/tex]
which is the same as the number of protons (because proton and electron have same charge magnitude). Since the mass of a single electron is [tex]m_e=9.1 \cdot 10^{-31}kg[/tex], the total mass of electrons should be
[tex]M_e = N_e m_e = (2.87 \cdot 10^{24})(9.1 \cdot 10^{-31}kg)=2.6 \cdot 10^{-6}kg[/tex]

When Trinity pulls on the rope with her weight, Newton's Third Law of Motion tells us that the rope will _____

Answers

When Trinity pulls on the rope with her weight, Newton's Third Law of Motion tells us that the rope will "pull back".


Newton's third law of motion expresses that, at whatever point a first question applies a power on a second object, the first object encounters a power meet in extent however inverse in heading to the power that it applies.  

Newton's third law of movement reveals to us that powers dependably happen in sets, and one question can't apply a power on another without encountering a similar quality power consequently. We once in a while allude to these power matches as "action-reaction" sets, where the power applied is the activity, and the power experienced in kind is the response (despite the fact that which will be which relies upon your perspective).

An eagle that has a mass of 4.5 kg is spotted 5 m above a lake. It flies up to its nest in a tree at a height of 25m

Answers

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 
PLEASE SEE ATTACHED IMAGE.  
 Let's  define potential energy:
 By definition, the potential energy is given by:
 Ep = m * g * h
 Where,
 m: mass
 g: gravity
 h: height.
 The potential energy change is:
 Delta Ep = Epf- Epi
 Delta Ep = m * g * hf  -  m * g * hi
 Delta Ep = m * g * (hf - hi) 
 The, we have
 Substituting values:
 Delta Ep = (4.5) * (9.8) * (25 - 5)
 Delta Ep = 882 J
 Answer:
 the eagle gain: 
 Delta Ep = 882 J

Answer:

c

Explanation:

just took test on edge but not sure if i was right :) goodluck gs

After the sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. in this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the earth. (a) calculate the average density of the white dwarf.

Answers

To calculate the density of the white dwarf we need the mass of the Sun and the radius of the Earth:
- Sun mass: [tex]M=1.99 \cdot 10^{30}kg[/tex]
- Earth radius: [tex]r=6.37 \cdot 10^6 m[/tex]
Assuuming the dwarf to be a perfect sphere, its volume is [tex]V= \frac{4}{3} \pi r^3[/tex].
The average density is given by
[tex]d= \frac{M}{V} [/tex]
so, substituting we find
[tex]d= \frac{M}{ \frac{4}{3}\pi r^3 }=1.83 \cdot 10^9 kg/m^3 [/tex]

A bird lands on a bare copper wire carrying a current of 51
a. the wire is 8 gauge, which means that its cross-sectional area is 0.13 cm2. (a) find the difference in potential between the bird's feet, assuming they are separated by a distance of 5.1 cm.

Answers

The resistance of the piece of wire is
[tex]R= \frac{\rho L}{A} [/tex]
where
[tex]\rho = 1.68 \cdot 10^{-8}\Omega m[/tex] is the resistivity of the copper
[tex]L=5.1 cm=0.051 m[/tex] is the length of the piece of wire
[tex]A=0.13 cm^2 = 0.13 \cdot 10^{-4} m^2[/tex] is the cross sectional area of the wire
By substituting these values, we find the value of R:
[tex]R= \frac{\rho L}{A}=6.6 \cdot 10^{-5} \Omega [/tex]

Then, by using Ohm's law, we find the potential difference between the two points of the wire:
[tex]V=IR=(51 A)(6.6 \cdot 10^{-5} \Omega )=3.4 \cdot 10^{-3} V[/tex]

A skier moving at 4.75 m/s encounters a long, rough, horizontal patch of snow having a coefficient of kinetic friction of 0.220 with her skis. how far does she travel on this patch before stopping?

Answers

First we need to find the acceleration of the skier on the rough patch of snow.
We are only concerned with the horizontal direction, since the skier is moving in this direction, so we can neglect forces that do not act in this direction. So we have only one horizontal force acting on the skier: the frictional force, [tex]\mu m g[/tex]. For Newton's second law, the resultant of the forces acting on the skier must be equal to ma (mass per acceleration), so we can write:
[tex]ma=-\mu m g[/tex]
Where the negative sign is due to the fact the friction is directed against the motion of the skier.
Simplifying and solving, we find the value of the acceleration:
[tex]a=-(0.220)(9.81 m/s^2)=-2.16 m/s^2[/tex]

Now we can use the following relationship to find the distance covered by the skier before stopping, S:
[tex]2aS=v_f^2-v_i^2[/tex]
where [tex]v_f=0 [/tex] is the final speed of the skier and [tex]v_i=4.75 m/s[/tex] is the initial speed. Substituting numbers, we find:
[tex]S=- \frac{v_i^2}{2a}=- \frac{(4.75 m/s)^2}{2(-2.16 m/s^2)}=5.23 m [/tex]

A force of 35 n acts on an object which has a mass of 5.4 kg. what acceleration (in m/s2) is produced by the force

Answers

∑F = ma
a = ∑F/m
a = 35 N / 5.4 kg
a = 6.5 m/s²

A person drives to the top of a mountain. On the way up, the person’s ears fail to “pop,” or equalize the pressure of the inner ear with the outside atmosphere. The pressure of the atmosphere drops from 1.010 x 10^5 Pa at the bottom of the mountain to 0.998 x 10^5 Pa at the top. Each eardrum has a radius of 0.40 cm. What is the pressure difference between the inner and outer ear at the top of the mountain?

a.

1.2 x 10^3 Pa

b.

1.1 x 10^5 Pa


c.

1.0 x 10^2 Pa


d.

1.2 x 10^2 Pa

Answers

The pressure on the inner ear is calculated by subtracting the pressure of the atmosphere of the bottom from the top, so calculating this will give us: 1.010x10^5 - .998x10^5 = 1200Pa outward which would be letter A.
And so the net force would be now calculated as P*A = 1200Pa*π*(0.40x10^-2m)^2 = 0.0603N

The pressure difference between the inner and outer ear at the top of the mountain is given by option a. 1.2 × 10³ Pa.

The pressure difference between the inner and outer ear at the top of the mountain can be calculated by evaluating the difference between atmospheric pressure at top and bottom of the lift. Let this difference be denoted as ΔP, then:

Δ P = P₁ - P₂

P₁ = pressure at the top of the lift = 1.010 × 10⁵ Pa

P₂ = pressure at the bottom of the lift = 0.998 × 10⁵ Pa

or, Δ P = (1.010 × 10⁵ Pa - 0.998 × 10⁵ Pa)

or, Δ P = 0.012 × 10⁵ Pa

or, Δ P = 1.2 × 10³ Pa

A sinusoidal wave travels with speed 250 m/s . its wavelength is 3.5 m . part a what is its frequency

Answers

The relationship between the frequency f of a wave, its wavelength [tex]\lambda[/tex] and its speed v is given by
[tex]v=\lambda f[/tex]
The wave of our exercise has a speed of [tex]v=250 m/s[/tex] and a wavelength of [tex]\lambda=3.5 m[/tex], so re-arranging the previous equation we can find its frequency:
[tex]f = \frac{v}{\lambda}= \frac{250 m/s}{3.5 m}=71.4 Hz [/tex]

When populations of two species work together to obtain resources, they are

Answers

cooperation. i think that is it

Answer:

cooperating.

Explanation:

:)

The n = 2 to n = 6 transition in the bohr hydrogen atom corresponds to the ________ of a photon with a wavelength of ________ nm.

Answers

The energy levels of the hydrogen atom are quantized and their energy is given by the approximated formula
[tex]E=- \frac{13.6}{n^2} [eV] [/tex]
where n is the number of the level.

In the transition from n=2 to n=6, the variation of energy is
[tex]\Delta E=E(n=6)-E(n=2)=-13.6 ( \frac{1}{6^2}- \frac{1}{2^2} )[eV]=3.02 eV[/tex]
Since this variation is positive, it means that the system has gained energy, so it must have absorbed a photon.

The energy of photon absorbed is equal to this [tex]\Delta E[/tex]. Converting it into Joule,
[tex]\Delta E=3.02 eV=4.84 \cdot 10^{-19}J[/tex]
The energy of the photon is
[tex]E=hf[/tex]
where h is the Planck constant while f is its frequency. Writing [tex]\Delta E=hf[/tex], we can write the frequency f of the photon:
[tex]f= \frac{\Delta E}{h}= \frac{4.84 \cdot 10^{-19}J}{6.63 \cdot 10^{-34}m^2 kg/s}=7.29 \cdot 10^{14}Hz [/tex]

The photon travels at the speed of light, [tex]c=3 \cdot 10^8 m/s[/tex], so its wavelength is
[tex]\lambda = \frac{c}{f}= \frac{3 \cdot 10^8 m/s}{7.29 \cdot 10^{14}Hz}=4.11 \cdot 10^{-7}m=411 nm [/tex]

So, the initial sentence can be completed as:
The n = 2 to n = 6 transition in the bohr hydrogen atom corresponds to the "absorption" of a photon with a wavelength of "411" nm.
Final answer:

The transition of an electron from n = 2 to n = 6 in a hydrogen atom in the Bohr model involves the absorption of a photon. The wavelength of this photon can be calculated using the Rydberg formula, but a specific value cannot be provided without additional information.

Explanation:

The student's question relates to the Bohr model of the hydrogen atom and specifically to the transition of an electron from the n = 2 energy level to the n = 6 energy level. According to Bohr's model, when an electron in a hydrogen atom transitions between two energy levels, it either absorbs or emits a photon whose energy equals the difference in energy between the two levels.

To find the wavelength of the photon associated with the transition, you can use the Rydberg formula:


   Calculate the energy involved in the transition using the formula
   E = hc/λ where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength.
   Rearrange to find the wavelength: λ = hc/E.

The exact calculations require substituting the values of h, c, and E (with E determined by the specific energy levels involved in the transition - here from n = 2 to n = 6).

Because this question does not provide all the numerical values needed for the calculation, such as Planck's constant and the speed of light, and does not specify whether the transition represents absorption or emission, we cannot provide a specific value for the wavelength. However, it's important to note that transitions to higher energy levels (n > 2) correspond typically to absorption, and the wavelength would fall into a specific region of the electromagnetic spectrum depending on its energy.

Learn more about the Bohr model here:

https://brainly.com/question/3964366

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A heat engine takes in 840 kJ per cycle from a heat reservoir. Which is not a possible value of the engine's heat output per cycle?

Answers

We have by the first law of thermodynamics tha energy is preserved, hence we cannot have over 840kJ per cycle. We have by the laws of thermodynamics (the 2nd one in specific) that the entropy of a system cannot increase. We cannot have an output of  840 kJ per cycle from a heat engine because then that would mean that the entropy would stay the same, while any heat engine increases it. Hence, any value [tex] \geq 840 kJ [/tex] is acceptable.

Forces are _______ which means they need to be determined by not only their numeric value (amount of force in Newton's) but also their _______.


please help this is a science question

Answers

Forces are vectors, which means they need to be determined by not only their numeric value (amount of force in Newton's) but also their direction.

Some other examples of vector quantities include displacement, acceleration,  velocity, and momentum.  Each of these isn't complete until you know its size and direction.

There are other quantities that have size but no direction.  They include distance, speed, volume, temperature, cost, and loudness.  These are called "scalars".

The uniform bar of mass m and length l is balanced in the vertical position when the horizontal force p is applied to the roller at
a. determine the bar's initial angular acceleration and the acceleration of its top point
b.

Answers

Which of the following is NOT a factor in efficiency?A.metabolismB.type of movementC.muscle efficiencyD.digestion

Based on what you have read, explain the advantages of digital signals over analog signals.

Answers

Digital signals do not pass noise along, so the sound heard is likely very close to the signal that was sent. Digital signals also can be stored more easily than analog signals. Recorded analog signals degrade over time, while recorded digital signals do not.

Sample Response: Digital signals do not pass noise along, so the sound heard is likely very close to the signal that was sent. Digital signals also can be stored more easily than analog signals. Recorded analog signals degrade over time, while recorded digital signals do not.

the lowest pitched sounds humans can generally hear have a frequency of roughly 20 Hz. What is the approximate wavelength of these sound waves if their wave speed is 340 m/A?

Answers

V = Frequency x Wavelength.

V = 340;
340 = 20 x Wavelength; divide both sides by 20.
Wavelength = 17

The wavelength is 17m.

I hope this helps!

"V = Frequency x Wavelength.

V = 340;

340 = 20 x Wavelength; divide both sides by 20.

Wavelength = 17"

Explanation:

You are given a cylinder of outer radius 3.27 cm and length of 11.5 cm. along the axis of the cylinder is a hole of diameter 2.47 cm. find the volume of this cylindrical shell.

Answers

  Required Volume (V) = Area of the base * Height

Area of the base = Pi [ 3.27² - (2.47/2)² ] since 2.47 is diameter and not radius. = Pi ( 9.981675 )

Therefore Volume (V) = Pi ( 9.981675) * 15.9 = 498.5978739 cm³ = 498.6 cm³.

An amusement park ride raises people high into the air, suspends them for a moment, and then drops them at a rate of free-fall acceleration. Is a person in this ride experiencing apparent weightlessness, true weightlessness, or neither? Explain.

Answers

An object experiences true weightlessness when the net force of all gravitational forces acting upon the object is zero. In this case, the gravitational force exerted by the earth on the people that are on the park ride while it's free falling never ceases to act on the people. If the person on the ride were in a case of true weightlessness then they would not fall in any direction in the first place. The answer is the apparent weightlessness.

Answer: apparent weighlessness.


Explanation:


1) Balance of forces on a person falling:


i) To answer this question we will deal with the assumption of non-drag force (abscence of air).


ii) When a person is dropped, and there is not air resistance, the only force acting on the person's body is the Earth's gravitational attraction (downward), which is the responsible for the gravitational acceleration (around 9.8 m/s²).


iii) Under that sceneraio, there is not normal force acting on the person (the normal force is the force that the floor or a chair exerts on a body to balance the gravitational force when the body is on it).


2) This is, the person does not feel a pressure upward, which is he/she does not feel the weight: freefalling is a situation of apparent weigthlessness.


3) True weightlessness is when the object is in a place where there exists not grativational acceleration: for example a point between two planes where the grativational forces are equal in magnitude but opposing in direction and so they cancel each other.


Therefore, you conclude that, assuming no air resistance, a person in this ride experiencing apparent weightlessness.

What is a property of a transparent object?

Answers

Materials like air, water, and clear glass are called transparent. Light encounters transparent materials, most of it passes directly through them. 

Two tuning forks of frequency 480 hz and 484 hz are struck simultaneously. what is the beat frequency resulting from the two sound waves?

Answers

Ans: Beat frequency = [tex]f_b[/tex] = 4Hz

Explanation: 
The beat frequency is equal to the absolute value of the difference in frequency of the two waves. In other words, the number of beats per second is equal to the difference in frequency. It is due to the destructive and constructive interference. According to this interference, sound will be soft or loud.

Hence. the formula is:
Beat frequency = [tex]f_b = |f_2 - f_1|[/tex]

Since,
[tex]f_1 = 480Hz[/tex]
[tex]f_2 = 484Hz[/tex]

Therefore,
Beat frequency = [tex]f_b = |484 - 480|[/tex]

=> Beat frequency = [tex]f_b = 4Hz[/tex]
-i

Which of the following puts the MOST demand on water supplies? Question 18 options: A) flood B) overpopulation C) drought D) pollution

Answers

option (b) is correct.

Overpopulation puts the most demand on water supplies.The reservoirs of the water are fixed but the human population is ever increasing. The needs of water for drinking, washing,industrial use like medicines, construction etc are thus increasing with every passing day.So, we are continuously running out of the water supplies. Because of the overpopulation. the pollution of water is also increasing, thus rendering the water unfit for drinking.

Thus overpopulation puts the most demand on water supplies.

Answer:

option (b) overpopulation is the  correct option for this question

Explanation:

Overpopulation is the reason  in increasing demand on water supplies.Overpopulation is a bothersome condition where the quantity of existing human populace surpasses the conveying limit of Earth. Overpopulation is brought about by number of variables. Decreased death rate, better restorative offices, consumption of valuable assets are few of the causes which results in overpopulation. Because of the overpopulation. the pollution of water is also increasing, thus rendering the water unfit for drinking


To determine an epicentral distance scientists consider the arrival times of what wave types

Answers

 The answer is P-waves and S-waves

Air is contained in a cylinder device fitted with a piston-cylinder. the piston initially rests on a set of stops, and a pressure of 200 kpa is required to move the piston. initially, the air is at 100 kpa and 238c and occupies a volume of 0.25 m3. determine the amount of heat transferred to the air, in kj, while increasing the temperature to 700 k. assume air has constant specific heats evaluated at 300 k.

Answers

A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs. 
Read more on Brainly.com - https://brainly.com/question/1581851#readmore

What potential difference is needed to accelerate a he+ ion (charge +e, mass 4u) from rest to a speed of 1.0×106 m/s ? express your answer using two significant figures?

Answers

For the law of conservation of energy, the loss in potential energy of the He+ ion should be equal to the gain in kinetic energy:
[tex]-\Delta U=\Delta K[/tex]
which can be rewritten as
[tex]-q \Delta V = \frac{1}{2}mv^2 [/tex]
where
[tex]q=+e = 1.6 \cdot 10^{-19}C[/tex] is the charge of the ion,
[tex]m=4u=4\cdot 1.67 \cdot 10^{-27}kg[/tex] is the mass of the ion,
[tex]v=1.0 \cdot 10^6 m/s[/tex] is the speed of the ion.
By using these values, we find the potential difference needed:
[tex]\Delta V = \frac{1}{2} \frac{mv^2}{-q}= \frac{1}{2} \frac{(4\cdot 1.67 \cdot 10^{-27}kg)(1.0 \cdot 10^6 m/s)^2}{-1.6 \cdot 10^{-19}C}= -20875 V=-21 kV [/tex]
and the negative sign means the final point is at lower voltage than the initial point, and this is correct, because the ion has positive charge and a positive charge travels naturally from higher voltages to lower voltages.

The potential difference required to accelerate the helium ion to a speed of   [tex]1.0 \times {10^6}\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}[/tex] is [tex]\boxed{21\,{\text{kV}}}[/tex] or [tex]\boxed{20875\,{\text{V}}}[/tex].

Further Explanation:

The potential difference, through which the helium ion passes, provides the potential energy and this potential energy provided by the potential difference to the Helium ion leads to the increase in the kinetic energy of the ion.

The charge on the [tex]H{e^ + }[/tex] ion is equal to the charge of one electron and the mass of the helium atom is equal to the mass of [tex]4\,{\text{amu}}[/tex].

The expression for the conservation of the energy of the Helium ion in the potential difference is:

[tex]\Delta PE = \Delta KE[/tex]  

Substitute [tex]q\Delta V[/tex] for [tex]\Delta PE[/tex] and [tex]\dfrac{1}{2}m{v^2}[/tex] for [tex]\Delta KE[/tex] in above expression.

[tex]\begin{aligned}q\Delta V &= \frac{1}{2}m{v^2} \hfill \\\Delta V &= \frac{{m{v^2}}}{{2q}} \hfill \\\end{aligned}[/tex]  

Here, [tex]\Delta V[/tex] is the potential difference, [tex]m[/tex] is the mass of the ion, [tex]q[/tex] is the charge over the ion.

Substitute [tex]1.6 \times {10^{ - 19}}\,{\text{C}}[/tex] for [tex]q[/tex], [tex]\left( {4 \times 1.67 \times {{10}^{ - 27}}\,{\text{kg}}} \right)[/tex] for [tex]m[/tex] and [tex]1.0 \times {10^6}\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}[/tex] for [tex]v[/tex] in above expression.

[tex]\begin{aligned}\Delta V &= \frac{{\left( {4 \times 1.67 \times {{10}^{ - 27}}\,{\text{kg}}} \right){{\left( {1.0 \times {{10}^6}\,{{\text{m}} \mathord{\left/{\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}} \right)}^2}}}{{2\left( {1.6 \times {{10}^{ - 19}}\,{\text{C}}} \right)}} \\&= \frac{{6.68 \times {{10}^{ - 15}}}}{{3.2 \times {{10}^{ - 19}}}}\,{\text{V}} \\&= 2{\text{0875}}\,{\text{V}} \\&\approx {\text{21}}\,{\text{kV}}\\\end{aligned}[/tex]  

Thus, the potential difference required to accelerate the helium ion to a speed of [tex]1.0 \times {10^6}\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right.\kern-\nulldelimiterspace} {\text{s}}}[/tex] is [tex]\boxed{21\,{\text{kV}}}[/tex] or [tex]\boxed{20875\,{\text{V}}}[/tex].

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Answer Details:

Grade: College

Chapter: Electrostatics

Subject: Physics

Keywords:  Potential energy, potential difference, accelerate, kinetic energy, speed, helium ion, charge, significant figures, rest to a speed.

The charge within a small volume dv is dq=ρdv. the integral of ρdv over a cylinder of length l is the total charge q=λl within the cylinder. use this fact to to determine the constant ρ0 in terms of λ and r. hint: let dv be a cylindrical shell of length l, radius r, and thickness dr. what is the volume of such a shell?

Answers

The volume of the shell that you described would be:
[tex]dV=2L\pi r dr[/tex]
Now we can rewrite the given integral:
[tex]\lambda L=\int\rho dV=L\rho\int2\pi r dr \\ \lambda L =L\rho \pi r^2\\ \rho=\frac{\lambda}{\pi r^2}[/tex]
I have attached the picture explaining how we got the formula for the volume.
On the picture, I marked the rectangle. You can of this rectangle as the base, and the height would be the circumference of the cylinder.

Answer:

Given

dq=density*dv

q=lamda*I

Taking double integration

density=lamda/2*pi*r^2

A particle moving in the x direction is being acted upon by a net force f(x)=cx2, for some constant
c. the particle moves from xinitial=l to xfinal=3l. what is δk, the change in kinetic energy of the particle during that time? express your answer in terms of c and l.

Answers

The work-energy theorem states that the change in kinetic energy of the particle is equal to the work done on the particle:
[tex]\Delta K = W[/tex]
The work done on the particle is the integral of the force on dx:
[tex]W= \int\limits^{3L}_L {F(x)} \, dx = \int\limits^{3L}_L {cx^2} \, dx = \frac{26}{3}cL^3 [/tex]
So, this corresponds to the change in kinetic energy of the particle.

The change in kinetic energy during that time is : [tex]\frac{26}{3} cl^{3}[/tex]

Given data :

Direction of particle = x

Net force = F(x) = cx²

Initial position = l

Final position = 3l

Determine the change in kinetic energy during this time

we will apply the work energy theorem which is : ΔK = W

To determine change in kinetic energy we have to determine the work done on the particle.

Work done on particle ( W ) =  [tex]\int\limits^3_l F({x}) \, dx[/tex] =  [tex]\int\limits^3_l c{x^{2} } \, dx =[/tex] [tex]\frac{26}{3} cl^{3}[/tex]

Hence the change in kinetic energy during that time is : [tex]\frac{26}{3} cl^{3}[/tex]

Learn more about work energy theorem : https://brainly.com/question/22236101

describe the difference between mechanical and electromagnetic waves. Give an example of each kind of wave related to telecommunications.

Answers

The main difference between mechanical and electromagnetic waves is that mechanical waves require a medium in order to propagate, while electromagnetic waves can propagate also in vacuum.

Examples of telecommunication via mechanical waves are sound waves (so, two people speaking to each other, for instance), while examples of telecommunication via electromagnetic waves are the radio waves that transmit the TV signals to the houses.
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