The voltage between two parallel plates separated by a distance of 3. 0 cm is 120 v. the electric field between the plates is:__________

Answers

Answer 1

The electric field between the plates is 4000V/m.

To find the answer, we have to know more about the electric field.

How to find the electric field?We have the expression for electric field as,

                        [tex]E=\frac{V}{L} \\[/tex]

It is given that the voltage between two parallel plates separated by a distance of 3. 0 cm is 120 v.We have to find the electric field.

                   [tex]E=\frac{120}{3*10^{-2}} =4000V/m[/tex]

Thus, we can conclude that, the electric field between the plates is 4000V/m.

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Related Questions

What function does the prism or diffraction grating perform in a spectrophotometer?

Answers

In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.

To find the answer, we need to know more about the spectrometer.

What is spectrometer?A spectrometer measures the light refracted by the optical component into its various colors (wavelengths).prism is a dispersive component The dispersion happens because the angle of refraction is influenced by the material's refractive index, which is marginally influenced by the wavelength of light passing through the prism.An optical component called a diffraction grating splits (disperses) polychromatic light into its individual wavelengths (colors). Each wavelength of the polychromatic light that strikes the grating is scattered, reflecting from it at a slightly different angle.

Thus, we can conclude that, In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.

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A six volt battery is connected to a three and a six ohm resistor as shown in the circuit diagram. What is the voltage drop across the 6 ohm resistor?


A
1 V

B
3 V

C
6 V

D
12 V

Answers

6 V drop occurs across the 6 ohm resistor in the parallel circuit diagram. The correct answer is C.

Since this parallel combination is connected with a cell, the potential difference through each resistor will be 6 volts. Now using I=V/R,

Current through 3 ohm resistor = 6/3 = 2 V

Current through 6 ohm resistor = 6/6 = 1 V

And the total current will be the sum of individual current in each resistor using Kirchoff’s junction law, Total current = 3 ampere

Since it is parallel combination the current passing across two resistors can differ but the voltage drop will remain the same.

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The ________ explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.

Answers

The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.

The nebular hypothesis has the sun and planets forming at the same time. According to this model, our solar system began as a gigantic, disc-shaped interstellar cloud of gases and dust about 5 or 6 billion years ago .

What hypothesis explains how our solar system probably formed?

The nebular hypothesis is the theory of planetary creation that is most widely accepted. According to this theory, the Solar System was created 4.6 billion years ago as a result of the gravitational collapse of a massive molecular cloud that stretched across several light-years.

What is the nebular theory ?

4.6 billion years ago, the solar nebula, a cloud of gas and dust, gave rise to the Sun and the planets. The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion. The planets formed in a thin disk around the Sun, which formed in the center of the solar system.

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A light wave moves from diamond (n= 2.4) into water (n= 1.33) at an angleof 24°. what angle does it have in water?

Answers

Answer:

n1 sin θ1 = n2 sin θ2      Snell's Law       (θ1 is the angle of incidence)

sin θ2 = n1 / n2 * sin θ1

sin θ2 = 2.4 / 1.33 * sin θ1

sin θ2 = 1.80 * .407 = .734

θ2 = 47.2 deg

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

Answers

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.

What is block 24j?

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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A 2-f and a 1-f capacitor are connected in series and a voltage is applied across the combination. the 2-f capacitor has:_______.

Answers

Half the potential difference of the the1-µF

A circuit must have a capacitance of 2 F across a 1 kV potential difference for an electrical technician. He has access to a sizable number of 1F capacitors, each of which can sustain a potential difference of no more than 400 V. Please suggest a configuration that uses the fewest capacitors possible.

The 2-mu F capacitor has the following characteristics: none of the aforementioned; half the charge of the 1-mu F capacitor; twice the charge of the 1-mu F capacitor; and half the potential difference of the 1-mu F capacitor.

Q = C V, C = Capacitance of the capacitor gives the charge stored by a capacitor with an applied voltage V. V is the applied voltage.

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Half the potential difference of the 1μf capacitor.

Charge: Q = CV where C is the capacitance in Farads, V is the voltage across the capacitor in Volts and Q is the charge measured in coulombs (C).

Energy stored: W = ½ QV = ½ CV×V

where W is the energy measured in Joules.

As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.

When the capacitors are connected in the form of series combination, the capacitance in total is less than the individual capacitances of the series capacitors. If one, two or number of capacitors are connected in the series form, the overall effect is the single or equivalent capacitor which has the total sum of the spacings between the plates of the individual capacitors. The increase in the plate spacing results in the decreased capacitance, with all the other factors remaining unchanged.

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Newton's Third Law of Motion relates to action and reaction. Which of the following scenarios accurately names the correct action and reaction pair to apply to Newton's Third Law?

Answers

Newton’s Third Law of Motion states that for every action there is an equal and opposite reaction. So look for a scenario in which something had force applied upon it and the reaction is a force in the opposite direction of the same size.

The henry's law constant for n2 is 6. 2×10−4matm at 25∘c. what pressure of nitrogen is needed to maintain a n2 concentration of 0. 53 m?

Answers

The pressure of nitrogen which is needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).

What is pressure?

It is defined as the continuous physical force applied on or against an object by something which is in contact with it.

It is also defined as the force per unit area.

What is henry's law?

The henry law constant is thr ratio of the partial pressure of compound in air to the concentration of compound in water at given temperature.

C= kp

where,

C is the concentration of compound = 0.53m

k is the henry constant = 6. 2×10−4matm

p is the pressure of compound

By substituting all the value we get,

C = 6. 2×10−4 × p

0.53 = 6. 2×10−4 × p

p = 0.53/6. 2×10−4

p = 3.2 × 10^(4)

Thus we find that the pressure needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).

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The 10-lb block has a speed of 4 ft/s when the force of f=(8t2)f=(8t2) lb is applied. determine the velocity of the block when t == 2 s. the coefficient of kinetic friction at the surface is μk=0. 2?

Answers

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 do we use the halfway-mark as a point of comparison rather than at the point which all the disks are floating?

Answers

We use the halfway mark as a point of comparison rather than at the point at which all the disks are floating because If the experiment were to be repeated, we would require a set of reference points.

The net rates of photosynthesis can be compared at the point where half the initial number of disks are floating. The time it takes for half of the disks to float reduces as the net rate of photosynthesis rises, showing an inverse relationship between the value and the net rate.

As photosynthesis develops, oxygen is delivered into the leaf's interior, changing the buoyancy and raising the disks. The rate at which the disks increase is an indirect indicator of the net rate of photosynthesis because cellular respiration, which uses oxygen, is occurring concurrently.

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Light has been measured as traveling at 3×108 m/s in a vacuum. Which of the following also travels at the speed of light, and why?

A
Ultrasound waves in a vacuum travel at the speed of light because there is no matter to reduce their speed.

B
Radio waves in a vacuum travel at the speed of light because they are a type of electromagnetic radiation like light.

C
Electrons in a current carrying wire travel at the speed of light because they have very little mass.

D
Gas particles at the center of an atomic explosion travel at the speed of light because the explosion creates an extreme outward force.

Answers

Radio waves in a vacuum travel at the speed of light because they are a type of electromagnetic radiation like a light has been measured as traveling at 3×10^8 m/s in a vacuum.

Charged particles that are accelerating, like time-varying electric currents, are what produce radio waves. Radio and television signals are transmitted using radio waves, and microwaves used in radar and microwave ovens are also radio waves. Radio waves are emitted by a lot of celestial bodies, including pulsars. High RF exposure levels have the potential to heat biological tissue and raise body temperature. The body's inability to handle or remove the extra heat that could be generated by high RF exposure in humans could result in tissue damage.

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If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 7, what is the probability that out of 8 new hired people?

Answers

The required probabilities are calculated by using the binomial distribution formula as below:

a. The probability that 5 will still be with the company after 1 year is P(x = 5) = 0.2541

b. The probability that 5 or more still be with the company after 1 year is 0.8057.

What is the binomial distribution formula?

The binomial distribution formula for finding the required probability of a random variable is

[tex]P(X = r) = _nC_rp^rq^{n-r}[/tex]

Where

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

p = probability of success

q = 1 - p = probability of failure

n = total number of trials

r = number of trials chosen

Calculation:

It is given that,

n = 8 and p = 0.7

Then, q = 1 - 0.7 = 0.3

a. The probability that 5 will still be with the company after 1 year:

P(X = 5) = [tex]_8C_5[/tex] (0.7)⁵(0.3)⁸⁻⁵

⇒ [tex]\frac{8!}{5!(8-5)!}[/tex] (0.7)⁵(0.3)³

⇒ 0.2541

Therefore, the probability P(x = 5) is 0.254.

b. The probability that 5 or more still be with the company after 1 year:

More than 5 means 6, 7, and 8

So,

P(X = 6) = [tex]_8C_6[/tex] (0.7)⁶(0.3)⁸⁻⁶

⇒ [tex]\frac{8!}{6!(8-6)!}[/tex] (0.7)⁶(0.3)²

⇒ 0.2964

P(X = 7) = [tex]_8C_7[/tex] (0.7)⁷(0.3)⁸⁻⁷

⇒ [tex]\frac{8!}{7!(8-7)!}[/tex] (0.7)⁷(0.3)¹

⇒ 0.1976

P(X = 8) = [tex]_8C_8[/tex] (0.7)⁸(0.3)⁸⁻⁸

⇒ [tex]\frac{8!}{8!(8-8)!}[/tex] (0.7)⁸(0.3)⁰

⇒ 0.0576

Thus, the probability that 5 or more still be with the company after 1 year

= P(5) + P(6) + P(7) + P(8)

= 0.2541 + 0.2964 + 0.1976 + 0.0576

= 0.8057.

Therefore, the required probabilities are 0.2541 and 0.8057.

Disclaimer: The question given in the portal is incomplete. Here is the complete question.

Question: If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 7, what is the probability that out of 8 new hired people:

a. 5 will still be with the company after 1 year?

b. 5 or more still be with the company after 1 year?

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You measure an angle of 21. 1 when the light passes through a grating with 610 lines per mm. what is the wavelength of the light?

Answers

The wavelength of the light is 590nm

wavelength of the light=λ

Given,

The equation for a diffraction grating to use here is dsinθ = mλ

d=1/610 lines per mm=1.639*[tex]10^{-6}[/tex], m=1, θ=21.[tex]1^{0}[/tex]

λ=1.639*[tex]10^{-6}[/tex] * sin21.[tex]1^{0}[/tex]/1 =590nm

Wavelength

The wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighbouring crests, troughs, or zero crossings, and it is a feature of both travelling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. The Greek letter lambda, or "wavelength," is frequently used to represent it. Additionally, sinusoidal wave envelopes, modulated waves, and waves created by the interference of several sinusoids are also commonly referred to as having a wavelength.

You measure an angle of 21. 1 when the light passes through a grating with 610 lines per mm. what is the wavelength of the light?

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A circuit has a voltage drop of 24.0 V across a 30.0 ohm Resistor that carries a current of 0. 800 A what is the power conducted by the resistor ? Use P =VI

Answers

The power conducted by the resistor, given that it carries a current of 0.8 A is 19.2 Watts

What is power?

Mechanical Power can be defined as the rate at which energy is consumed. This is also true for Electrical power, since it gives an expressing of the rate in which Electrical energy is consumed. Electrical power is expressed mathematically as:

Power (P) = voltage (V) × current (I)

P = IV

With the above formula, we can determine the power as illustrated below:

How to determine the power

from the question given above, the following data were obtained:

Voltage (V) = 24 VResistor (R) = 30 ohmsCurrent (I) = 0.8 APower (P) =?

Power (P) = voltage (V) × current (I)

P = IV

P = 24 × 0.8

P = 19.2 watts

Thus, the power conducted by the resistor which carries the current of 0.8 A is 19.2 Watts

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Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.

Answers

The distance between the two adjacent nodes = λ/2.

What is Wavelength?The length over which a wave's shape repeats is known as its spatial period, or wavelength. It is a characteristic of various spatial wave patterns as well as travelling and standing waves. It is the separation between two consecutive positions on a wave that correspond to the same phase, such as two close-by crests, troughs, or zero crossings. The reciprocal of wavelength is the spatial frequency. Wavelength is usually denoted by the Greek letter lambda (λ). Sometimes, modulated waves, their sinusoidal envelopes, or waves generated by the interference of several sinusoids are all referred to by the term wavelength.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.

Answers

When a beam of light  that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of transition into water--------It does not deflect , the light direction will not change.

What happens to light when it passes through air?

All materials have what is known as an index of refraction, which is linked to how fast light can travel through the material. As light passes through air and into another clear material (such as glass), it changes speed, and light is both reflected and refracted by the glass.

How does light travel through air and water?

When light travels from air into water, it slows down, causing it to change direction slightly. This change of direction is called refraction. When light enters a more dense substance (higher refractive index), it 'bends' more towards the normal line.

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A consequence of more mass having more inertia is that _____ is required to bring the helicopter to the same speed as the bullet.

Answers

Answer:

The answer to your question is more force

Explanation:

A consequence of more mass having more inertia is that more force is required to bring the helicopter to the same speed as the bullet

I hope this helps and have a good day!

The algol binary system consists of a b main-sequence star with a mass of 3.7 m? and a k subgiant star with a mass of 0.81 m?. why, at first, did this puzzle astronomers?

Answers

The lower-mass star should have developed into a giant star.

What is Algo Binary System?

Algol variables, also known as Algol-type binaries, are a subclass of eclipsing binary stars that resemble Persei, the class's prototype star (Beta Persei, Algol). An Algol binary is a system in which both stars are almost spherical, making it possible to precisely predict when the eclipses would begin and conclude. Usually, the primary is a main-sequence star that is located close to its Roche lobe. The secondary star might be either an evolved star occupying its Roche lobe, known as a semidetached binary, or it could be a main sequence star, known as a detached binary.

eclipsing variable stars-

One of the most well-known variable stars in the sky, Algol serves as the model for the Algol variables class of eclipsing variable stars. A B-class main sequence star, an orange subgiant, and a faint A-class star make up the triple star system known as Beta Persei Aa1, Aa2, and Ab.

The lower-mass star should have developed into a giant star first, followed by the higher-mass B main-sequence star.

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A current of 0. 82 a flows through a light bulb. how much charge passes through the light bulb during 94 s?

Answers

A current of 0. 82A flows through a light bulb. The charge passed through the light bulb during 94 s is 77.08C

The amount of charge flown for a given period of time determines the current passed through a bulb or electrical body.

The relation between the charge, current and time is given as:

Q = I × t

where, Q is the charge flown through bulb

I is the current passed through bulb

t is the time for which charge passes through bulb

Given,

I = 0.82A

t = 94s

Q = ?

Substituting the values in the above formula:

Q = I × t

Q = 0.82 × 94

Q = 77.08C

Hence, The charge passed through the light bulb during 94 s is 77.08C

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When a substance changes from one type of matter into another, such as two or more substances combining to form compounds, the substance undergoes a:_________

Answers

When a substance changes from one type of matter into another, such as two or more substances combining to form compounds, the substance undergoes a: chemical reaction

Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products.

Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. These processes are called chemical reactions and, in general, are not reversible except by further chemical reactions.

Whereas , When matter undergoes physical change, it doesn't become a different substance. Therefore, physical changes are often easy to reverse.

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Electrolysis can be used to purify silver. What mass of silver would plate onto the pure electrode if a current of 6. 8 a flowed through the cell for 72 minutes?

Answers

32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.

Silver can be electroplated at the cathode of an electrolysis cell by the half-reaction:

Ag+(aq)+e→Ag(s).

By Using the equation

Q= I×t,    where Q = charge

                           I = current = 6.8 A

                           t= time in seconds= 72×60=4320s

So,

Q=6.8×4320

Q = 29,376C

We see that 1 mole of electrons produces 1 mole of Ag from the half reaction.

1mole of electrons= 96,500C

xmoles of electrons= 29,376C

Cross multiplying;

29,376= 96,500 × x

Now , dividing both sides of the by 96,500

29,376/96,500=x

0.3044 moles of electrons will produce

0.3044×108 = 32.88grams of Ag

Therefore, 32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.

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Which gear combination would you like to use when you want to pedal with as few strokes as possible and have your wheels turn as many times as possible

Answers

A lower, easier gear, with the smaller chain ring up front and a largercog in the back, lets you accelerate faster.

When inspecting a transmission case for defects, measure seal surface openings by using a(n):_______

Answers

A Final statement or concluding statement

When inspecting a transmission case for defects, measure seal surface openings by using a(n) dial caliper

What is a dial caliper and why do we use it?

For taking precise measures, a dial caliper is a calibrated precision measuring device. Normally, minor amounts of movement and material thickness are measured with dial calipers.

They are particularly well-liked for machining and automotive applications.

Most dial calipers have a measuring range of 150mm (6 inches), however there are other calipers with measuring ranges of 100mm (4 inches) and 300mm (12 inches). Dial calipers do not require batteries because they use a rack and pinion  mechanism.

As a result, they are both environmentally and economically  friendly.

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An ultrasound tech is trying to identify an object, but the machine is broken and is not sending out the sound wave. Which statement best describes this situation?

The generated sound wave will not be able to reflect off of the object.
The sound wave will not be generated, so there will be no echoes received.
The echoes will be made but will be unable to be received by the machine.
The machine will not be able to process the received echoes into images.

Answers

B. The sound wave will not be generated, so there will be no echoes received

What is ultrasound?

An ultrasound is the process of sending high-frequency sound waves to make an image of an  internal structures of an object.

If the machine is broken and it is not sending out the sound wave, then it simply means that the sound wave will not be generated, so there will be no echoes received.

Thus, for an ultrasound tech that is trying to identify an object, but the machine is broken and is not sending out the sound wave.

The statement that best describes this situation is "The sound wave will not be generated, so there will be no echoes received".

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Answer:

B

Explanation:

Which two fundamental forces act within an atom’s nucleus? the gravitational force the electromagnetic force the strong nuclear force the weak nuclear force the electric force

Answers

The two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.

What are the fundamental forces of atoms nucleus?.

The fundamental forces of atoms nucleus are the forces that act within the nucleus of an atom which include the following:

The strong nuclear forces: These are the forces that enhances the binding of the nucleus together.

The weak nuclear forces:. These are the forces that are responsible for nuclear decay.

Therefore, the two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.

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Heat is transferred from the sun-warmed surface of earth to the cooler overlying troposphere via _______

Answers

Heat is transferred from the sun-warmed surface of the earth to the cooler overlying troposphere via conduction.

Heat transfer from earth to atmosphere:

Conduction, convection, latent heating, and water phase transitions all help to carry heat from the Earth's surface, which has been warmed by the Sun, to the cooler troposphere above.

Latent heat flux is the worldwide transfer of latent heat energy via water and air currents. Here, we demonstrate how air circulation transports latent heat energy horizontally to cooler regions, where it condenses into rain or is deposited as snow, releasing the heat energy that was previously trapped there.

When air is heated from below by sunshine or by coming into contact with a warmer land or sea surface, convection occurs and the air below becomes less dense than the air above.

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How does position depend on time on a free falling motion, for short distance, near the surface of the earth?

Answers

Answer:

if an object is in free fall for a longer time its position will increase at an exponential rate because the object is accelerating

Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.

Answers

It does not deflect, the light's direction will not change

When a light ray is incident from a medium such as air onto a more dense medium such as glass or water, the refracted ray always lies closer to the perpendicular than does the incident ray.

What happen when light ray passes from one medium to another ?

Refraction occurs when light travels from one medium to another which changes the speed at which the light travels. This causes light to bend upon incidence with the interface of a new material.

The frequency of the light ray remains same when it travels from one medium to another because it depends on the source of light. But the wavelength and speed vary because they depend on the medium through which the light passes.

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A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface charge density on the sphere?

Answers

The surface charge density on the sphere is 0.014C/[tex]m^{2}[/tex].

Given,

r=5.00cm=0.05m, q=7. 5 µc

We know surface charge density σ =q/V=[tex]\frac{7.5*10^{-6} }{\frac{4}{3}\pi 0.05^{3} }[/tex]=0.014C/[tex]m^{2}[/tex].

Surface charge density

It is always important to know how charge is moving in an electric field. These fields will also build up electric charges. Therefore, estimation of the surface charge density is essential for a number of applications. It is also necessary to calculate the surface charge density of an electric object using its volume and surface area. The amount of electric charge that has collected in a given field is measured by the surface charge density. Using the dimensions provided, it determines the amount of electric charge. Dimensions of the electric body could be in the form of length, area, or volume. In one, two, or three dimensions, according to electromagnetism, surface charge density is a measurement of the amount of electric charge present in a given volume of space.

A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface surface charge density on the sphere?

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A 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. Calculate the car’s momentum after 4.21 s.

Answers

The car’s momentum after 4.21s is 24617.4 kgm/s

Newton's Second Law of Motion.

Newton's second law state that, the rate of change of momentum, is directly proportional to the applied force.

Given that a 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. To calculate the car’s momentum after 4.21 s, Let us first list all the parameters involved.

Velocity u = 10.2 m/sAcceleration a =  2.45 m/s²Mass m = 1200KgTime t = 4.21 s

From Newton's second law,

F = (mv - mu) / t

ma = (mv - mu) / t

Substitute all the parameters into the formula above.

1200 × 2.45 = ( mv - 1200 × 10.2 ) / 4.21

2940 = ( mv - 12240 ) / 4.21

Cross multiply

12377.4 = mv - 12240

Make mv the subject of the formula

mv = 12377.4 + 12240

mv = 24617.4 kgm/s

Therefore, the car’s momentum after 4.21s is 24617.4 kgm/s

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