The velocity of the block when t == 2 s is 60.7 ft./sec.
Equations of Motion.
Here the friction is [tex]F_f = \mu_k N[/tex] = 0.2 N
[tex]+ \uparrow \sum F_y = ma_y; \quad N – 10 = \frac { 10 } { 32.2 }(0) \quad N = 10 lb \\ \begin{aligned} \underrightarrow{ + } \sum F_x = ma_x; \quad 8t^2 – 0.2(10 &) = \frac { 10 } { 32.2 }a \\ & a = 3.22(8t^2 – 2) ft/s^2 \end{aligned}[/tex]
Kinematics.
The velocity of the block as a function of t can be determined by
integrating dv = adt using the initial condition v = 4 ft./s at t = 0.
[tex]\int_{ 4 ft/s }^{ v } dv = \int_0^t 3.22(8t^2 – 2)dt \\ \begin{aligned} v – &4 = 3.22 (\frac 8 3 t^3 – 2t) \\ & v = \{8.5867t^3 – 6.44t + 4 \} ft/s \end{aligned}[/tex]
The displacement as a function of t can be determined by integrating
ds = vdt using
the initial condition s = 0 at t = 0
[tex]\int_0^s ds = \int_0^t (8.5867t^3 – 6.44t + 4)dt \\ s = \{2.1467t^4 – 3.22t^2 + 4t \} ft[/tex]
at t = 2 sec
s = 30 ft.
Thus, at s = 30 ft.,
[tex]\begin{aligned} v &= 8.5867(2.0089^3) – 6.44(2.0089) + 4 \\ &= 60.67 ft/s \\ &= 60.7 ft/s \end{aligned}[/tex]
Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.
Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system.
Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics, not kinematics. For further details, see analytical dynamics.
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Why does the resistance of a conductor rise with temperature?
The resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.
Why does the resistance of a conductor rise with temperature?
When electrons move through a conductor, it collide with atoms, electrons or other substances. These collisions cause resistance which leads to generate heat. Heating the metal conductor leads to more vibration of an atoms which in turn makes it more difficult for the electrons to flow through a conductor that leads to increasing resistance.
So we can conclude that the resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.
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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.
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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Certain car can accelerate from rest to the speed v in t seconds. if the power output of the car remains constant, (a) how long does it take for the car to accelerate from v to 2v? (b) how fast is the car moving at 2t seconds after starting
(a) time taken for the car to accelerate from v to 2v = t = [tex]\frac{2V-V}{a}[/tex]
(b) velocity of the car moving at 2t seconds = ΔV = 2at
(a) we know that,
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]
where, [tex]V_{F}[/tex] is the final velocity
[tex]V_{0}[/tex] is the initial velocity
a = acceleration
t = time
Time taken to accelerate from V to 2V:
t = [tex]\frac{2V-V}{a}[/tex]
(b) We know that,
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]
where, [tex]V_{F}[/tex] is the final velocity
[tex]V_{0}[/tex] is the initial velocity
a = acceleration
t = time
how fast is the car moving at 2t seconds after starting,
we can represent [tex]V_{F}[/tex] - [tex]V_{0}[/tex] = ΔV
at time = t= 2t, it becomes
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex] = a = ΔV/2t
t= ΔV/2a
ΔV = 2at
What is acceleration?Rate of change of velocity with time, both in terms of speed and direction is known as acceleration.
What is speed?the rate at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.To learn more about acceleration visit:
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Consider the two vectors a 3i-2j & b = -i-4j calculate the direction of a+b and a-b?
Direction of |a+b| is south east and that of |a-b| is north east.
Calculation:Given
a = 3i - 2j
b = -i - 4j
To find,
a+b =?
a-b =?
|a+b| = |(3i - 2j - i - 4j)|
= |2i - 6j|
= [tex]\sqrt{2^{2} + (-6^{2}) }[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]2\sqrt{10}[/tex]
|a-b| = |(3i - 2j) - (-i - 4j)|
= |3i -2j + i + 4j|
= |4i + 2j|
= [tex]\sqrt{4^{2} + 2^{2} } \\[/tex]
= [tex]\sqrt{16+ 4}[/tex]
= [tex]\sqrt{20}[/tex]
= [tex]2\sqrt{5}[/tex]
Direction of |a+b| is south east (|2i - 6j|, this shows 2 units to the right and 6 units down)
Direction of |a-b| is north east (|4i + 2j|, this shows 4 units right & 2 units up)
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Please help me!! 1 a) Compare the speed that light waves travel in air to the speed that sound waves travel in the air. (Show results in meters/second) 1 b) How many times faster do light waves travel in the air in comparison to sound waves in air? (show working out) 2) Compare the speed of light in water to the speed of sound in water. (Show results in meters/second)
The speed of light waves travel in air is 3.0 * 10⁸ m/s, while the speed of sound waves in air at 25° C is 346.3 m/s.
Light waves travels 8.66 * 10⁵ times faster in air in comparison to sound waves in air.
The speed of light in water is 3.0 * 10⁸ m/s while the speed of sound in water is 1.481 m/s
What is wave speed?The distance covered by a wave per second is known as the wave speed.
The speed of a wave varies according to the density of the medium it is travelling as well as the due to the frequency of the wave.
The speed that light waves travel in air = 3.0 * 10⁸ m/s
The speed that sound waves travel in the air at 25° C = 346.3 m/s
The ratio of the speed of speed that light waves travel in air to that of the speed that sound waves travel in the air at 20° C = 3.0 * 10⁸/346.3 = 8.66 * 10⁵
Therefore, light waves travels 8.66 * 10⁵ in the air in comparison to sound waves in air
The speed of light in water = 3.0 * 10⁸ m/s
The speed of sound in water = 1,481 m/s
Therefore, light waves travels much faster water than sound waves in water.
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Block 2 has four times the mass of Block 1. Assume a frictionless pulley and that both the rope and pulley are massless. Use g=9.8 m/s2.
Calculate the magnitude of acceleration of the blocks.
The magnitude of acceleration of the block is 5.88 m/s²
Block and tackle system of pulleysPulley are often used in construction sites to raise or lower heavy load. Pulley system is one of the most widely used type of machine. and Block and tackle system of pulleys is the practical system of pulleys in which one or more pulleys are mounted on the same axle, with one continuous rope passing all round the pulleys.
Given that Block 2 has four times the mass of Block 1. Assume a frictionless pulley and that both the rope and pulley are massless and g = 9.8 m/s2.
That means M2 = 4M1
The acceleration will be toward the M1
To calculate the magnitude of acceleration of the blocks, we will consider the following
T - [tex]m_{1}[/tex]g = [tex]m_{1}[/tex]a ...... (1)
T - [tex]m_{2}[/tex]g = -[tex]m_{2}[/tex]a ..... (2)
Where
T = tension in the rope which is the same g = acceleration due to gravity[tex]m_{1}[/tex] = mass of the block 1[tex]m_{2}[/tex] = mass of the bloc 2a = accelerationMinus equation 2 from equation 1
( [tex]m_{1}[/tex] + [tex]m_{2}[/tex] )a = ( [tex]m_{2}[/tex] - [tex]m_{1}[/tex])g
But [tex]m_{2}[/tex] = 4[tex]m_{1}[/tex]
Substitute in the equation above.
([tex]m_{1}[/tex] + 4[tex]m_{1}[/tex])a = (4[tex]m_{1}[/tex] - [tex]m_{1}[/tex])g
5[tex]m_{1}[/tex]a = 3[tex]m_{1}[/tex]g
[tex]m_{1}[/tex] will cancel out
5a = 3 x 9.8
a = 29.4/5
a = 5.88 m/s²
Therefore, the magnitude of acceleration of the block is 5.88 m/s²
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What does an alpha particle consist of? one proton and two neutrons two protons and two neutrons two protons and one electron one proton and two electrons
They are helium nuclei, which consist of two protons and two neutrons. The net spin on an alpha particle is zero. They result from large, perilous atoms via a process called alpha decay.
What is helium nuclei?The nucleus of the helium atom also understood as the α-particle, includes two protons and two neutrons, encompassed by two electrons.Alpha particles are helium nuclei with two protons and two neutrons attached. The development of their high mass and an electrical charge is their inability to infiltrate as deep as other particles such as protons and electrons.Particle beams contain α (alpha)-particles, β (beta)-particles, neutron beams, etc. α-particles are helium middles consisting of two protons and two neutrons that have lived removed at high speed, while β-particles are electrons removed from a nucleus. Particle shafts also include neutron beams and proton beams.To learn more about helium nuclei, refer to:
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A process in which a large nucleus splits into two or more parts is called ?
(A) nuclear fission
An alpha particle is made up of _____.
(C) two protons and two neutrons
Which statement best describes the type of radioactive decay shown in the model?
(D) The model shows alpha decay, which is a type of nuclear fission.
Is beta decay a form of nuclear fission?
Responses
(A) No, it is not because the mass number does not change.
Which statement correctly classifies gamma emission?
(D) Gamma emission is a type of radioactive decay, but it is not a fission reaction.
Explanation:i just did the quick check, hope this helps.
When you have two of the same charges along a horizontal line, where is the electric field the greatest? is there ever a point where the field will be zero?
When you have two of the same charges along a horizontal line, The electrical field is the greatest the closest it is to the charges. And there will be a zero charge in between the two like charges.
Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge.
The formula of electric field is given as;
E = F /Q
Where,
E is the electric field.
F is a force.
Q is the charge.
The electrical field is the greatest the closest it is to the charges because there will be high electric strength and electric field strength is greatest where the lines are closest together and weakest where lines are furthest apart. Also , there will be a zero charge in between the two like charges.
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What is the half-life of an isotope if 125 g of a 500 g sample of the isotope remains after 3.0 years?
Answer:
125 / 500 = 1/4 of the sample left after 3.0 yrs
1/2 * 1/2 = 1/4 sample has decayed thru 2 half-lives
2 * HL = 3
1 Half-Life = 1.5 yrs
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?
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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What type of number is 3π + 1?
Choose all answers that apply:
A. whole number
B. integer
C. rational
D. Irrational
Answer: It's D
Explanation:
The break up of the supercontinent ____________________ and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
The break up of the supercontinent Rodinia and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
Rodinia was a supercontinent that assembled 1.1–0.9 billion years ago and broke up 750–633 million years ago. The extreme cooling of the global climate around 717–635 million years ago (the so-called Snowball Earth of the Cryogenian period) and the rapid evolution of primitive life are thought to have been triggered by the breaking up of Rodinia
The results revealed the breakup of Rodinia occurred over the same geological time period as carbon dioxide declined and temperatures fell. That, Meert said, pointed to Rodinia's breakup as the cause of Snowball Earth
The break-up of a supercontinent may have caused a 'Snowball Earth'. The Earth might have been sent into an ice age by the break-up of a supercontinent 750 million years ago, creating a global snowball. The break-up probably caused an increase in rainfall and weathering of rock
Just as shattering a rock into pieces increases its exposed surface area, so breaking up the supercontinent increased the amount of land exposed to the elements and resulted in a more active hydrological cycle
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A grating has 470 lines/mm. how many orders of the visible wavelength 538 nm can it produce in addition to the m = 0 order?
Three complete orders on each side of the m=0 order can be produced in addition to the m=0 order.
The ruling separation is d=1/(470mm-1)
[tex] = 2.1 \times 10 {}^{ - 3}mm [/tex]
Diffraction lines occurs at an angle θ such that dsin=mλ,when λ is the wavelength and m is an integer.
Notice that for a given order,the line associated with a long wavelength is produced at a greater angle than the line associated with shorter wavelength.
we take λ to be the longest wavelength in the visible spectrum (538nm) and find the greatest integer value of m such that θ is less than 90°.
That is,find the greater integer value of m for which mλ<d.
since,d/λ
[tex] = 538 \times 10 {}^{ - 9} m/2.1 \times 10 {}^{ - 6} [/tex]
There are three complete orders on each side of the m=0 order.
The second and third orders overlap.
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If a violin string vibrates at 430 hz as its fundamental frequency, what are the frequencies of the first four harmonics?
If a violin string vibrates at 430 hz as its fundamental frequency,then the frequencies of the harmonics are 880, 1320, 1760
The frequency in physics is the number of waves passing a fixed location in a unit of time. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given unit of time.
How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.
Integer (whole-number) multiples of the fundamental frequency are used to define harmonics, which are voltages or currents that function at certain frequencies. This means that for a waveform with a fundamental frequency of 50 Hz, the second harmonic frequency would be 100 Hz (2 x 50 Hz), the third harmonic would be 150 Hz (3 x 50 Hz), etc.
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The human body has an average density of 979 kg/m3 , what fraction of a person is submerged when floating gently in fresh water?
A person is submerged of about 97.9%.
The average density of the human body is given as 979 kg/ m³.
Define Law of floatation.Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.
As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.
Weight of the body floating = Weight of the body immersed in fluid
Law of floatation = Density of the floating object / density of fluid
As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.
= (979 kg/ m³) / ( 1000 kg/ m³)
= 97.9 %
A person is submerged when floating gently in fresh water about 97.9%.
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Open the resistance in a wire simulation, adjust only the length of the resistor, what happens to resistor?
If we increase the length of the resistor, resistance will also increase and vice-versa.
It is given that in a wire simulation, we have to adjust only the length of the resistor.
It required to find the effect on resistor when adjust only the length of the resistor.
What happens to resistor when adjust only the length of the resistor?As we know that the length is directly proportional to the resistance of the wire that means is we increase the size or length of the wire then it also increase the resistance present in the wire. On the other hand if we decrease the length of the wire, it will decrease the resistance. This can be represented as:
Resistance = resistivity × length/area
This is also because there is more collision of the flowing electrons in the wire to the metal ions present there.
Thus if we increase the length of the resistor, resistance will also increase and vice-versa.
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Stellar nurseries, such as the orion nebula, contain hundreds or more fragmenting and contracting regions, as well as many protostars and stars. What condition would allow a protostar to become a stable star?.
The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a stable star.
How does a protostar become a stable star?The interstellar medium can sometimes be gathered into a large nebula, which is a cloud of gas and dust. A nebula can span a number of light years. These nebulae are where gas and dust can combine to produce stars. Until a star can combine hydrogen into helium, it cannot be considered a star. They are referred to as protostars before then. As gravity starts to gather the gases into a ball, a protostar is created. Accrution is the term for this procedure.
Gravitational energy starts to heat the gasses as gravity draws them into the ball's core, which causes the gasses to radiate radiation. Radiation initially just dissipates into space. However, much of the radiation is retained inside the protostar as it draws in stuff and becomes denser, which causes the protostar to heat up even more quickly.
The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a star.
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An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.
The wavelength of the radio waves is 3.04 cm.
Calculation:λf = c
λ = c/f
where,
λ = wavelength
c = speed of light
f = frequency
Given,
f = 98.6 MHz = 98.6 × 10⁶
c = 3 × 10⁸
To find,
λ =?
Put the values in the formula,
λ = c/f
λ = 3 × 10⁸/98.6 × 10⁶
= 0.0304 × 10² m
= 3.04 cm
Therefore, the wavelength of the radio waves is 3.04 cm.
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When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, where are these x-rays usually coming from?
When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, these x-rays usually coming from a disk of material around the black hole (material that has been pulled from the companion star and is falling toward the black hole).
A binary black hole (BBH) is a system consisting of two black holes in close orbit around each other. Like black holes themselves, binary black holes are often divided into stellar binary black holes, formed either as remnants of high-mass binary star systems or by dynamic processes and mutual capture; and binary supermassive black holes, believed to be a result of galactic mergers.
For many years, proving the existence of binary black holes was made difficult because of the nature of black holes themselves and the limited means of detection available.
However, in the event that a pair of black holes were to merge, an immense amount of energy should be given off as gravitational waves, with distinctive waveforms that can be calculated using general relativity.
Therefore, during the late 20th and early 21st century, binary black holes became of great interest scientifically as a potential source of such waves and a means by which gravitational waves could be proven to exist. Binary black hole mergers would be one of the strongest known sources of gravitational waves in the universe, and thus offer a good chance of directly detecting such waves.
As the orbiting black holes give off these waves, the orbit decays, and the orbital period decreases. This stage is called binary black hole inspiral. The black holes will merge once they are close enough. Once merged, the single hole settles down to a stable form, via a stage called ringdown, where any distortion in the shape is dissipated as more gravitational waves. In the final fraction of a second the black holes can reach extremely high velocity, and the gravitational wave amplitude reaches its peak.
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A laser emits light with a frequency of 4. 75×1014 s−1. What is the wavelength of this radiation, in nm?.
A Final statement or concluding statement
The equation that relates wavelength, frequency, and speed of light is
c=λ × ν
To find wavelength, λ = c / f
λ = wavelength in meters
ν = frequency in Hertz (Hz) or 1s or [tex]s^{-1}[/tex].
= 3 ×[tex]10^{8}[/tex] m/s / 4. 75 × [tex]10^{14}[/tex] [tex]s^{-1}[/tex](Using velocity of light as 3 x 108 m/s)
= [tex]6.3[/tex]×[tex]10^{-7}[/tex]m
= [tex]6.3[/tex] × [tex]10^{2}[/tex] nm
How is wavelength related to radiation?Electromagnetic radiation is an electric and magnetic disturbance that travels at the speed of light through space. It has no mass or charge and travels in packets of radiant energy known as photons or quanta.Radio waves and microwaves, as well as infrared, ultraviolet, gamma, and x-rays, are examples of EM radiation. Electromagnetic radiation moves at a constant speed in the form of a waveform.
The relationship of velocity to wavelength and frequency reveals the wave characteristics of EM radiation.
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What is the length of a box in which the minimum energy of an electron is 1. 1×10^−18 j ?
The length of a box in which the minimum energy of an electron is 1. 1×[tex]10^{-18}[/tex] j will be 74 * [tex]10^{-10}[/tex] m
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. As you go farther from the nucleus, electrons at higher energy levels have more energy
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. Electrons are tiny, negatively charged particles in an atom that move around the positive nucleus at the center. Energy levels are a little like the steps of a staircase.
One electron volt is the energy that an electron gains when it travels through a potential difference of one volt (1 eV = 1.6 x 10-19 Joules). Electrons in a hydrogen atom must be in one of the allowed energy levels. If an electron is in the first energy level, it must have exactly -13.6 eV of energy.
Energy of an electron in nth shell can be calculated as
E (n) = [tex]\frac{n^{2} h^{2} }{8ml^{2} }[/tex]
energy will be minimum in 1st shell
putting n=1
E (n) = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
1.1 * [tex]10^{-18}[/tex] = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
length(l) = 74 * [tex]10^{-10}[/tex] m
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Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same. (hint: look back in the lesson under the section title ""resistance"")
The light bulb would glow brighter.
What is Resistance?
a force that works against a body's direction of motion and seeks to stop or slow down motion, such as friction. a measure of how much a material prevents an electric current from flowing as a result of a voltage.
What is the law of resistance?
Resistance and Ohm's Law. According to Ohm's law, the resistance of the circuit and the current or energy travelling through the resistance are both exactly proportional to the voltage or potential difference between two places.
The current would grow since it is exactly proportionate to the voltage, increasing the light bulb's brilliance, or simply making it brighter.
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Find the equivalent resistance of this
circuit.
R₁
www
960 92
I
R₂
www
640 Ω
Reg?
Ra
W
180
Explanation:
1/R = 1/R1 + 1/ R2
1/R = 1/960 + 1/640
1/R = 5 / 1920
R = 384 ohmSo , Req = 384 + R3
Req = 384 + 180
Req = 564 ohm[tex]\huge\red{A}\pink{N}\orange{S}{W}\blue{E}\green{R} [/tex]
Req = 564 ohmA stretched string is observed to have four equal segments in a standing wave driven at a frequency of 480 hz. what driving frequency will set up a standing wave with five equal segments?
600Hz is the driving frequency needed to create a standing wave with five equal segments.
To find the answer, we have to know about the fundamental frequency.
How to find the driving frequency?The following expression can be used to relate the fundamental frequency to the driving frequency;f(n) = n * f (1)
where, f(1) denotes the fundamental frequency and the driving frequency f(n).
The standing wave has four equal segments, hence with n=4 and f(n)=4, we may calculate the fundamental frequency.f(4) = 4× f (1)
480 = 4× f(1)
f(1) = 480/4 =120Hz.
So, 120Hz is the fundamental frequency.
To determine the driving frequency necessary to create a standing wave with five equally spaced peaks? For, n = 5,f(n) = n 120Hz,
f(5) = 5×120Hz=600Hz.
Consequently, 600Hz is the driving frequency needed to create a standing wave with five equal segments.
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though its economics question can anybody help me
A transmission line strung 7.0 m above the ground carries a current of 500 A. What is the magnetic field on the ground directly below the wire
Answer:
Approximately [tex]143\; {\rm T}[/tex] assuming that this transmission line is straight and infinitely long.
Explanation:
Lookup the permeability of free space: [tex]\mu_{0} = 4\, \pi\; {\rm T \cdot m \cdot A^{-1}[/tex].
Consider an infinitely-long straight wire in empty space carrying a current of [tex]I[/tex]. At a distance of [tex]r[/tex] from this wire, the magnitude of the magnetic field from the wire would be:
[tex]\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R}\end{aligned}[/tex].
In this question, it is given that [tex]I = 500\; {\rm A}[/tex]. At a distance of [tex]R = 7.0\; {\rm m}[/tex] from this wire, the magnitude of the magnetic field from this cable would be:
[tex]\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R} \\ &= \frac{(4\, \pi \; {\rm T \cdot m \cdot A^{-1}}) \, (500\; {\rm A})}{(2\, \pi)\, (7.0\; {\rm m})} \\ &\approx 143\; {\rm T}\end{aligned}[/tex].
Two point charges, feel a force of 1. 0 n when they are 2. 0 cm apart. if they are moved further apart to 8. 0 cm. What is the electric force between them?
Two point charges, feel a force of 1. 0 n when they are 2. 0 cm apart. if they are moved further apart to 8. 0 cm. The electric force between them will be F2 = 1/16 J
A charged particle, also called an ion, is an atom with a positive or negative charge. This happens whenever something called an ionic bond forms. Two particles that have different numbers of electrons (the smallest particle in an atom which is negative) start reacting to each other.
According to Coulomb's law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It acts along the line joining the two charges considered to be point charges.
F1 = K q1*q2 / [tex]r1^{2}[/tex]
1 = K q1*q2 / [tex]2^{2}[/tex]
F2 = K q1*q2 / [tex]r2^{2}[/tex]
F2 = K q1*q2 / [tex]8^{2}[/tex]
F1 / F2 = 64 / 4
1 / F2 = 16 / 1
F2 = 1/16 J
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What is the distance traveled by an object that moves with an average velocity of 8.0 m/s for a total of 4.0 seconds? please show your work in order to earn credit for this question.
The distance traveled by the object is 32 m.
What is Kinematic equation?The motion of an object with constant acceleration is described by a set of equations known as the kinematic equations. Integrals, derivatives, and rates of change must all be understood in order to solve kinematics problems.Calculation for determining distance traveledIf an object is traveling with a consistent velocity, this is referred to as uniform motion.
The equation below gives the average speed of an item moving uniformly:
v = d/t
where
v= average speed
d = traveled distance
t= The amount of time used
The object in this problem is as follows:
v = 8.0 m/s is the average speed
The time was t = 4.0 s.
We determine the distance traveled by solving for d:
d = vt = (8.0)(4.0) = 32 m
Hence, the distance traveled by the object is 32 m.
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An electron is ejected from the cathode by a photon with an energy slightly greater than the work function of the cathode. How will the final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected?.
It will be approximately equal.
How will the final kinetic energy change?We can infer that all of the energy in the electron is Potential energy (PE) because the energy provided by the photon is hardly enough to outweigh the work function.
It will gain kinetic energy (KE) as it advances in the direction of the anode because it is moving through an electric field. All of the PE will have been transformed to KE by the time it reaches the anode.
According to the question
K = hf - W
W = Work function
The energy of photons is comparable. After conversion, there was only a little amount of KE remaining.
Therefore, PE (W) essentially equals KE (K).
It will about be equal.
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What charge in microcoulombs needs to be plaaced at the orgin to create an electric force?
It follows coulombs law.
According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It acts along the line joining the two charges considered to be point charges.
In Short: F ∝ q1q2/d2
where,
ε is absolute permittivity,
K or εr is the relative permittivity or specific inductive capacity
ε0 is the permittivity of free space.
K or εr is also called a dielectric constant of the medium in which the two charges are placed.
One coulomb of charge is that charge which when placed at rest in vacuum at a distance of one metre from an equal and similar stationary charge repels it and is repelled by it with a force of 9 x 109 newton.
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