A 62.92 microC charge is fixed at the origin. How much work would be required to place a 7.21 microC charge 8.57 cm from this charge ?

The capacitance of a capacitor is calculated based on 3 values, area of plates, distance between them and epsilon zero, which is the electric permitivity at vacum.

Answer:

There are 5 general layers; organism, population, community, ecosystem, and biosphere.

Explanation:

Hope this helps!

Explanation:Beta Rays are not Electromagnetic Waves

Beta rays also known as beta radiation is obtained through the emission of an electron. Beta rays are not electromagnetic waves because they are charged particles and are capable of getting deflected by the magnetic field.

Microwaves are a form of "electromagnetic" radiation; that is, they are waves of electrical and magnetic energy moving together through space. Electromagnetic radiation spans a broad spectrum from very long radio waves to very short gamma rays. ... But the most common consumer use of microwave energy is in microwave ovens.

Visible light is carried by photons, and so are all the other kinds of electromagnetic radiation like X-rays, microwaves and radio waves. In other words, light is a particle.

So the answer is sound.

The sound wave is not an electromagnetic wave

In terms of science, electromagnetic radiation is made up of electromagnetic field waves that travel over space while carrying electromagnetic radiant energy and velocity. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves.

In order from highest to lowest energy, the sections of the EM spectrum are named: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves.

Given data ,

Let the electromagnetic wave be represented as A

Now , when A = microwaves

Microwaves are waves of electrical and magnetic energy traveling across  radio waves and infrared radiation on the electromagnetic spectrum combined. There is a wide range of electromagnetic radiation, from very lengthy radio waves to very brief gamma rays.

And , when A = x-rays

X-rays are high-frequency, and thus high-energy, electromagnetic radiation

They are found to reside between ultraviolet radiation and gamma rays on the electromagnetic spectrum.

X-rays are more energetic because they have shorter wavelengths. When discussing X-rays, we frequently refer to their energy rather than its wavelength.

Now , the sound waves are not electromagnetic waves as sound waves are examples of mechanical waves

Hence , sound waves are not electromagnetic waves

To learn more about electromagnetic waves click :

https://brainly.com/question/25847009

#SPJ6

A rope pulls a Tesla out of mud. The guy pulls a force F⊥ of 300N, and theta = 4.2°. The tension force T is 298.44__ Newton.

The problem describes a Tesla that is stuck in the mud and needs to be pulled out using a rope. the guy pulls a force F⊥ of 300N and that the angle between the rope and the horizontal plane is θ = 4.2°. The goal is to find the tension force T exerted by the rope.To solve for T, we'll need to use trigonometry. We can break the force vector into its horizontal and vertical components as follows:

Fx = F⊥ cosθ and Fy = F⊥ sinθ.

Since the rope is pulling the Tesla horizontally, the horizontal component of the force will be the tension force T. So we have:

T = Fx = F⊥ cosθ = (300 N) cos(4.2°) ≈ 298.44 N

Taking the cosine of the angle is necessary since it's the adjacent side that we're interested in, which is the horizontal component of the force. Therefore, the tension force exerted by the rope is approximately 298.44 N.

For more question Newton

https://brainly.com/question/29601160

#SPJ8

Answer:

1.025

Explanation:

Although the density of seawater varies at different points in the ocean, a good estimate of its density at the ocean's surface is 1025 kilogram per cubic meter. Its specific gravity is therefore 1.025.

Answer:

see below

Explanation:

The specific gravity of surface seawater ranges from about 1.020 to 1.029

At the bottom of the oceans the specific gravity increases up to about 1.070

The colder the seawater the more dense.

The saltier the seawater the more dense.

The salilinty changes the specific gravity far more than the temperature does.

Tropical fresh water, like in Gatun Lake on the Panama Canal, has a specific gravity of only 0.9954

The Red Sea, hot, landlocked and arid has a specific gravity of about 1.029

The speed of the wind is 20 miles per hour.

To solve this problem, we can use the formula:

Speed = Distance/Time

Let's assume that the speed of the wind is x miles per hour.

With the wind, the plane travels at a speed of 460 miles per hour. This means that its speed relative to the ground is the sum of its airspeed and the speed of the wind:

460 = Airspeed + x

Against the wind, the plane travels at a speed of 420 miles per hour. This means that its speed relative to the ground is the difference between its airspeed and the speed of the wind:

420 = Airspeed - x

We can solve this system of equations to find the airspeed of the plane:

460 = Airspeed + x

420 = Airspeed - x

Adding the two equations gives:

880 = 2Airspeed

Dividing both sides by 2 gives:

Airspeed = 440 miles per hour

Now that we know the airspeed of the plane, we can find the speed of the wind by substituting this value into one of the equations we obtained earlier:

460 = Airspeed + x

460 = 440 + x

x = 20

To learn more about speed visit;

https://brainly.com/question/28224010

#SPJ9

Answer:

Swimmer A

Explanation:

The time required for a swimmer to cross a river is equal to the width of the river which is divided by the magnitude of the component of the velocity which is parallel to the width of the river.

In the given context, all the three swimmers A, B and C swims in a different angle relative to the direction of the flow of river. The swimmer A swims straight at a direction perpendicular to the direction of current of the river across the width of the river, so A will have the largest velocity component which is parallel to the width of the river. So the time taken by swimmer A will be the least to cross the river.

Answer:

Explanation:

You want the current in various circuit branches of a series-parallel circuit with a battery voltage V0 = 1.5V, a series resistor of R1 = 511 Ω, and four parallel resistors, R2–R5 = 182, 663, 234, and 565 Ω, respectively.

There are a number of ways to solve the circuit. The one shown in the second attachment finds the combination of the parallel resistors, then determines how the total current is split among them. The values of interest include the current through R5 (node D), the sum of currents through R5 and R4 (node G), and the sum of currents through R5, R4, and R3 (node F).

If Rx is the effective resistance of the parallel combination of R2–R5, then the battery current is

  I = V/R = (1.50)/(511 +Rx) ≈ 2.55254 mA

The current in any resistor Rn is this value multiplied by the fraction Rx/Rn for n=2 to 5.

Perhaps more directly, we can write "mesh current" equations for the circuit. Letting I1–I4 represent the currents through nodes D, G, F, and E, respectively, we can write the equations ...

The solution to these equations is shown in the first attachment. Resistances are given in kΩ so currents will be in mA.

The currents in the listed nodes are ...

__

Additional comment

The third attachment shows the circuit as we understand it. The currents labeled I1–I4 are within the local loop. The "mesh current" equations match Kirchoff's Voltage Law: the sum of voltage differences around any closed loop is zero. Where a resistor is shared between loops, the voltage across it will be the (signed) sum of the two loop currents times that resistance.

Differentiation

Derivative Rule [Basic Power Rule]:

\(\displaystyle\begin{aligned}f(x) & = cx^n \\f'(x) & = c \cdot nx^{n - 1} \\\end{aligned}\)

Derivative Rule [Chain Rule]:
\(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Let's define what the problem gives us:

We know from our trigonometric derivatives that the derivative of \(\displaystyle \sin x\) is equal to \(\displaystyle \cos x\). However, since we have some arbitrary constant \(\displaystyle a\) multiplying \(\displaystyle x\) inside our \(\displaystyle \sin x\) function, we will have to apply the derivative rule of Chain Rule:

\(\displaystyle\begin{aligned}y & = \sin ax \\y' & = \boxed{ \cos (ax) (ax)' } \\\end{aligned}\)

To further simply the derivative, we now apply the derivative rule of Basic Power Rule and simplify:

\(\displaystyle\begin{aligned}y & = \sin ax \\y' & = \cos (ax) (ax)' \\& = (ax)' \cos ax \\& = 1 \cdot ax^{1-1} \cos ax \\& = ax^0 \cos ax \\& = \boxed{ a \cos ax } \\\end{aligned}\)

∴ the derivative of the function \(\displaystyle y = \sin ax\) is equal to \(\displaystyle \boxed{ y' = a \cos ax }\).

___

Learn more about derivatives: https://brainly.com/question/31636033

Learn more about Calculus: https://brainly.com/question/30097646

___

Topic: Calculus

Unit: Differentiation

Answer:

Is this your question? Also I think work done is a scalar quantity.

Explanation:

Answer:

Ultraviolet radiation

Explanation:

The type of electromagnetic radiation most likely to cause skin cancer as a result of sun exposure overtime is the ultraviolet radiation.

Electromagnetic radiation occurs with a broad spectrum starting from gamma rays to the radio waves.

From one end to the other, their energy decreases as the wavelength increases.

Within this broad spectrum, the ultraviolet rays which are before the visible rays are very energetic and can cause skin cancer.

Answer:

ultraviolet i think sorry if im wrong :/

Explanation:

There are 20,000 meters in 20 kilometers. , we can represent this as:

$20 \, \text{km} = 20,000 \, \text{m}$

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:20000 metres i think

Explanation:

I KM should have 1000m please vote for brainliest

The statement "B. Gravity exists only on Earth" and the statement "E. Gravity doesn't exist between Earth and the sun"  is not true about gravity.

Gravity is a fundamental force of nature that exists in the whole universe, not just on Earth. It is a force that acts between any two objects that have mass. This means that statement "C. Gravity is a force that pulls two objects together" and "D. Gravity exists between two objects that have mass" are both true. Gravity plays a significant role in the functioning of our solar system. The sun's gravitational force acts on the planets, including Earth, keeping them in their orbits. Similarly, Earth's gravitational force attracts objects towards its center, giving weight to objects on its surface. Gravity is the force that holds Earth in orbit around the sun and is responsible for the planets' motion in the solar system. Gravity is a universal force that exists throughout the universe, acts between objects with mass, and plays a crucial role in celestial bodies' movements, including the interaction between Earth and the sun.

For such more questions on Gravity

https://brainly.com/question/18258780

#SPJ11

Answer:

Vf = 35.28 m/s

Explanation:

The final velocity of John can easily be determined by applying first equation of motion:

Vf = Vi + at

where,

Vf = Final Velocity of John = ?

Vi = Initial Velocity of John = 0 m/s (Since Supreme Scream stops for a brief moment before coming down)

a = acceleration = g (for free fall motion) = acceleration due to gravity = 9.8 m/s²

t = time taken = 3.6 s

Therefore, using the respective values in equation, we get:

Vf = 0 m/s + (9.8 m/s²)(3.6 s)

Vf = 35.28 m/s

Answer:

The atomic nucleus is the small, dense region consisting of protons and [[]]s at the center of an atom

Explanation:

The average speed of the whole journey is 54 mph.

For more questions on average speed

https://brainly.com/question/4931057

#SPJ8

In the diagram tha shows snapshots of an oscillator at different times, the frequency of the oscillation is 0.555 Hz.

The period of the oscillation is the time taken for the for the object to return to its original position. (ie. Displacement = 0). From the above snapshot,

Period of oscillation = 1.80s.

From here, finding the frequency is simple as, Frequency = 1/Period. Hence,

Frequency = 1/1.80

= 0.555 Hz (3 sf).

The frequency of the oscillation is indeed 0.555 Hz. The frequency represents the number of oscillations or cycles per second. In this case, the object completes approximately 0.555 oscillations per second.

Learn more about oscillation on

https://brainly.com/question/14628852

#SPJ1

Answer: you would feel more gravity

Explanation: the more mass of an object the more pull

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

for such more questions  distance

https://brainly.com/question/26550516

#SPJ11

Answer:

the initial velocity of the  ball is 17.14 m/s

Explanation:

Given;

maximum height reached by the ball, h = 15 m

let the initial velocity of the ball = u

at maximum height, the final velocity of the ball is zero, v = 0

The initial velocity of the ball is calculated by using the following upward motion kinematic equation;

v² = u² - 2gh

0 = u² - 2(9.8 x 15)

u² = 294

u = √294

u = 17.14 m/s

Therefore, the initial velocity of the  ball is 17.14 m/s

The total electric field at point P, taking into account both charges, +Q and -2Q, is given by:

E_total = k * |Q| * [(1 / x²) - (4 / (9x²)]).

To determine the total electric field at point P, we must consider the contributions of both charges, +Q and -2Q.

The electric field (E) at P due to a single charge can be calculated using Coulomb's law. An electric field is defined as the force per unit positive charge at a given point. Mathematically, it is expressed as follows:

E = k * (|q| / r²),

where k is the electrostatic constant, q is the charge, and r is the distance from the charge to the point where the electric field is measured.

In this case we have a charge +Q at a distance x from point P. The electric field at point P due to +Q alone can be calculated as:

E1 = k* (|Q|/x2).

Similarly, the electric field at P due to -2Q can be calculated as:

E₂ = k * (|-2Q| / (3x)²) = 4k * (|Q| / (9x²)).

The total electric field (E_total) at point P is the vector sum of the electric fields produced by +Q and -2Q. Because they have opposite charges, the electric fields will have opposite directions.

E_total = E1 - E₂.

By substituting the expressions for E₁ and E₂:

E_total = k * (|Q| / x²) - 4k * (|Q| / (9x²)).

Further simplification:

E_total = k * |Q| * [(1 / x²) - (4 / (9x²)]).

Please note that the direction of the electric field will depend on the signs of the charges (+Q and -2Q) and their relative positions with respect to point P.

For more such questions on electric ,

https://brainly.com/question/26978411

#SPJ11

Answer:

\(\huge\boxed{\sf v_o=3.1\ m/s}\)

Explanation:

Given Data:

Acceleration due to gravity = g = -9.8 m/s²

Maximum Height = h = 0.490 m

At h, \(v_f\) = 0

Required:

\(v_o=?\)

Formula:

\(2gh=v_f^2-v_o^2\)

Solution:

Put the givens

\(2 (-9.8) (0.490) = (0)\² - v_o^2\\\\-9.604=-v_o^2\\\\9.604=v_o^2\\\\Take \ sqrt\ on \ both \ sides\\\\\sqrt{9.604}=v_o^2\\\\3.1 \ m/s=v_o\\\\v_o=3.1\ m/s\\\\\rule[225]{225}{2}\)

Explanation : The average speed of a moving body can never be zero but the average velocity of a moving body can be zero.

The amount the needle on the meter is deflected A. increases

This phenomenon can be explained by Faraday's law of electromagnetic induction. According to this law, when a magnetic field (created by the bar magnet) passes through a coil of wire, it induces an electric current in the wire. This induced current generates its own magnetic field, which interacts with the magnetic field of the bar magnet.

The deflection of the meter needle is a result of this induced current. When the number of coils of wire is increased, there is a greater number of wire loops for the magnetic field to pass through. This leads to a stronger induction of electric current, resulting in a larger deflection of the meter needle.

By increasing the number of coils, more magnetic flux is linked with the wire, resulting in a higher induced electromotive force (emf) and a greater current. This increased current produces a stronger magnetic field around the wire, leading to a larger deflection on the meter. Therefore, increasing the number of coils of wire enhances the magnetic field interaction, resulting in an increased deflection of the meter needle. Therefore, Option A is correct.

Know more about Faraday's law here:

https://brainly.com/question/1640558

#SPJ8

The boat must have moved, despite not being seen to move, because its relative position to the dock has changed. This phenomenon is known as relative motion .

Everything is always in motion, but the way we perceive it depends on our frame of reference.

In this scenario, the dock was the frame of reference for the initial position of the boat. When the boat moved to the cove, its position relative to the dock changed, and the dock was no longer an appropriate frame of reference. The boat's motion is now relative to the cove instead.

It is important to note that relative motion depends on the chosen frame of reference. If we were to choose the boat as the frame of reference, then it would be the dock that appears to move, not the boat. This is because motion is always relative to a chosen frame of reference.

In conclusion, the boat must have moved because its position relative to the dock changed. The concept of relative motion reminds us that motion is always relative to a chosen frame of reference, and that the way we perceive motion depends on our chosen frame of reference.

For more question on relative motion visit:

https://brainly.com/question/867069

#SPJ11

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

For more such information on: DC generator

https://brainly.com/question/23037391

#SPJ8

Answer:

v = 5.24 m/s

Explanation:

Given that,

No of spokes of a Ferris wheel = 60

The diameter of a wheel, d = 100 m

Radius, r = 50 m

It makes one rotation every 60 seconds.

We need to find the speed of the passengers when the Ferris wheel is rotating at this rate. Let it is v. It can be calculated as follows :

\(v=r\omega\\\\=\dfrac{2\pi r }{T}\\\\=\dfrac{2\pi \times 50 }{60}\\\\v=5.235\ m/s\)

or

v = 5.24 m/s

So, the speed of the passengers is 5.24 m/s. Hence, the correct option is (A).

Answer:

The terminal velocity for both skydiver are 99.58 m/s and 121.9 m/s.

The time for both skydiver are 60.25 sec and 49.22 sec

Explanation:

Given that,

First mass = 60 kg

Second mass = 90 kg

Suppose, altitude \(h=6.00\times10^{3}\ m\)

Area =.14 m²

C= .7

Density = 1.21 kg/m³

We need to calculate the terminal velocity

Using formula of terminal velocity

\(v_{1}=\sqrt{\dfrac{2m_{1}g}{\rho\times C\times A}}\)

For first mass,

Put the value into the formula

\(v_{1}=\sqrt{\dfrac{2\times60\times9.8}{1.21\times.14\times.7}}\)

\(v_{1}=99.58\ m/s\)

For second mass,

Put the value into the formula

\(v_{2}=\sqrt{\dfrac{2\times90\times9.8}{1.21\times.14\times.7}}\)

\(v_{2}=121.9\ m/s\)

We need to calculate the time of first skydiver

Using formula of time

\(t_{1}=\dfrac{h}{v_{1}}\)

Put the value into the formula

\(t_{1}=\dfrac{6.00\times10^{3}}{99.58}\)

\(t_{1}=60.25\ sec\)

We need to calculate the time of second skydiver

Using formula of time

\(t_{2}=\dfrac{h}{v_{2}}\)

Put the value into the formula

\(t_{2}=\dfrac{6.00\times10^{3}}{121.9}\)

\(t_{2}=49.2\ sec\)

Hence, The terminal velocity for both skydiver are 99.58 m/s and 121.9 m/s.

The time for both skydiver are 60.25 sec and 49.22 sec