A closed surface with dimensions a = b =
0.368 m and c = 0.2944 m is located as in
the figure. The electric field throughout the
region is nonuniform and defined by Ē =
(a + ßx²) î where x is in meters, a = 5 N/C,
and ß = 6 N/(C. m²).
What is the magnitude of the net charge enclosed by the surface?
Answer in units of C.

To keep the balance the beam's required magnitude of force f will be 22 N.

Given,

Length of the beam, xy = 100cm

Pivoted at 60 cm from end x

Weight force at 50 cm from x, W = 4 N

force due to hanging mass, F = 8 N 10 cm from x

and f at 80 cm at x.

Now, let the direction of force f is downward

so we have to balance the moment due to all the forces about the pivot,

So the total clockwise moment

= fx(80-60) = 20f Ncm

And anti-clockwise moment

= Wx(60-50) + F(60-10) = 4x10+8x50 = 440 Ncm

Now anticlockwise moment = Clockwise moment

or 20f = 440

or f = 22 N

Therefore, To keep the balance the beam's required magnitude of force f will be 22 N.

To learn more about the moment:

https://brainly.com/question/14327819

#SPJ4

The electric field within the sphere is given by E = (4p/3) * (R^3 - r^3) / (R^2 - r^2). The electric field inside the slab is given by E = pd/2. The electric field at the center of the spherical cavity is given by E = pd/2 * (R/d)2.

Electric flux is the measure of the electric field through a particular surface in electromagnetism, despite the fact that an electric field cannot flow. At any location in space, the electric field E can impose a force on an electric charge. The gradient of the potential is represented by the electric field.

Here,

(a) According to Gauss's Law, the electric flux through any closed surface is proportional to the charge contained inside the surface. The electric field at a location inside a solid sphere may be computed by splitting the sphere into concentric shells and calculating the electric field owing to each shell. Inside the sphere, the electric field is given by:

E = (4πp/3) * (R^3 - r^3) / (R^2 - r^2)

(b) The electric field inside a charged slab may be calculated by splitting the slab into thin charge layers and adding the electric field owing to each layer. Inside the slab, the electric field is given by:

E = pd/2

(c) Subtracting the electric field owing to the slab from the electric field due to the entire space yields the electric field at the center of a spherical cavity in an indefinitely large charged slab. The electric field at the spherical cavity's center is given by:

E = pd/2 * (R/d)^2

The electric field inside the sphere is given by: E = (4πp/3) * (R^3 - r^3) / (R^2 - r^2). The electric field inside the slab is given by: E = pd/2. The electric field at the center of the spherical cavity is given by: E = pd/2 * (R/d)^2.

To know more about electric flux,

https://brainly.com/question/14544020

#SPJ4

when the velocity and acceleration of an object have opposite signs, the speed of the object increases, is true statement.

Velocity is a vector quantity that represents the rate of change of an object's position with respect to time, including both the speed and direction of motion. It is defined as the derivative of position with respect to time. Acceleration and velocity are closely related quantities in mechanics. Acceleration is defined as the rate of change of velocity over time. In other words, acceleration is the derivative of velocity with respect to time. When an object's velocity is increasing, its acceleration is positive, and when its velocity is decreasing, its acceleration is negative. If an object is moving at a constant velocity, its acceleration is zero.

To know more about Acceleration, visit:

https://brainly.com/question/12550364

#SPJ4

The force of gravitational attraction between the man and woman is 1.0672 × 10⁻⁶ N, if the mass of the man & woman is 80 kg & 50 kg respectively.

Let the Mass of the man, m₁ = 80 kg

Mass of the woman, m₂ = 50 kg

Distance between them, d = 0.5 m

We know the universal gravitational constant, G = 6.67 × 10⁻¹¹ Nm²/kg²

According to Newton's law of gravitation, Gravitational force between two objects having mass m₁ & m₂ at a distance apart d meter, is mathematically formulated as, F = Gm₁m₂/d²

F = (6.67 × 10⁻¹¹ × 80 × 50)/0.5²

F = (2.668 × 10⁻⁷) /0.25

F = 1.0672 × 10⁻⁶ N

To know more about gravitational constant, here

https://brainly.com/question/858421

#SPJ4

The sketch for the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle would look like this:

The voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle is a type of waveform that is commonly used in digital electronics. This type of waveform is important because it is used to represent the logical states of digital circuits, such as 0's and 1's.

Learn more about periodic digital waveform

https://brainly.com/question/22858440

#SPJ4

Sonar (SOund Navigation And Ranging) uses sound waves to estimate water depth. It operates by producing a sound wave and monitoring how long it takes for the wave to bounce back after striking the ocean floor. The depth of the water may be determined based on this time measurement.

Sonar is a technology for navigating, measuring distances, communicating with, or detecting things on or beneath the water's surface, such as other vessels. Sonar (from "sound navigation range") is an acoustic technology for detecting and estimating the distance and direction of underwater objects. Sonar equipment detects and analyzes sound waves generated or reflected by the item for the information they convey. sonar.

Here,

Sonar (SOund Navigation And Ranging) does utilize sound waves to estimate water depth. It operates by sending out a sound wave and monitoring how long it takes for the wave to bounce back after reaching the ocean floor. The depth of the water may be determined using this time measurement.

To know more about SONAR,

https://brainly.com/question/20510435

#SPJ4

Answer:

Try to apply the 100 N for 0.2 s.

Option a. 8 is the correct answer because Four or fewer luminaire conductors, smaller than AWG size, and small EGCs.

It's essential to guarantee that crates or nooks that contain electrical associations have sufficient space to oblige the transmitters and hardware establishing conveyors (EGCs) without surpassing the case fill limits determined by the Public Electrical Code (NEC).

As per the NEC, four or less luminaire channels, less than American Wire Check (AWG) size, and additionally little EGCs that start in the luminaire and end in the container need not be counted while computing box fill.

This standard is intended to give a specific level of adaptability and diminish the intricacy of box fill estimations, particularly in lighting establishments where luminaire guides and little EGCs are usually utilized. Notwithstanding, it's vital to take note of that this avoidance just applies to the guides and EGCs referenced, and different guides and fittings that consume space inside the container actually should be thought about while computing box fill.

To learn more about electricity and magnetism, refer:

https://brainly.com/question/24309468

#SPJ4

The final speed of the wreckage after the collision is 17.5 km/h north.

The final speed of the wreckage after the collision is calculated by applying the principle of conservation of linear momentum.

m₁u₁ + m₂u₂ = v ( m₁ + m₂ )

where;

let north be positive and let south be negative direction

The final speed is calculated as follows;

(2 x 70) - (1.2 x 70) = v ( 2 + 1.2 )

56 = 3.2v

v = 56/3.2

v = 17.5 km/h north

Learn more about linear momentum here: https://brainly.com/question/7538238

#SPJ1

The time cannot be calculated without those values but if we take R= 1 and C= 1, the switch opens at almost 4 milliseconds according to the question.

The time constant, τ, of the RC circuit would be τ = R × C = 1 × 1 = 1 (Where R denotes the resistance and C the capacitance).

The time it takes for the energy stored in the capacitor to fall to 79% of its final value after the switch opens is approximately equal to

4 × τ = 4 × 1 = 4 milliseconds.

After the switch opens, it takes around 4 times for the energy stored in the capacitor to decrease to 79% of its final amount.

Therefore, knowing the values of R and C is necessary in order to calculate the time in milliseconds. The time cannot be calculated without those values.

Learn more about time:

https://brainly.com/question/28050940

#SPJ4

A centripetal force of 155 n acts on a 1,500-kg satellite moving with a speed of 5,300 m/s in a circular orbit around a planet. The radius of its orbit is 1.35  x [tex]10^{7}[/tex] meters.

The radius of a satellite's orbit can be calculated using the equation for centripetal force:

F = m * [tex]v^{2}[/tex]/ r

Where,

m = the mass of the satellite

v =  its speed

r = the radius of its orbit.

Rearranging the equation and plugging in the given values:

r = m * [tex]v^{2}[/tex] / F = (1500 kg) * [tex](5300 m/s)^{2}[/tex] / (155 N)

r = approximately 1.35  x [tex]10^{7}[/tex] meters.

So the radius of the satellite's orbit is approximately 1.35  x [tex]10^{7}[/tex] meters.

Here you can learn more about centripetal force

brainly.com/question/14249440

#SPJ4

The correct way to report the length of the rectangle in centimeters is 15.60 cm.

The number that is given as digits is established using significant figures. A meaningful representation of numbers is carried by these digits. Frequently, significant digits are employed in place of figures.

By counting all of the values beginning with the first non-zero digit on the left, we may determine the number of significant digits. 12.45, for instance, has four significant digits.

The act of determining an object's length in some standard or non-standard units is known as length measurement. In our daily lives, the ability to measure length is crucial.

Therefore, The correct way to report the length of the rectangle in centimeters is 15.60 cm.

To know more about significant figures refer to:

https://brainly.com/question/24491627

#SPJ4

Placing a conductor increases the force between two charges because in the case of glass or other dielectrics, the effective distance between two charges rises as opposed to decreasing.

Each charge repels the other. When a positive charge and a negative charge interact, their forces move from the positive to the negative charge in the same manner. Because of this, opposing charges are drawn to one another: the ensuing forces and electric field created by two electrical charges with different polarities.

Coulomb listed the following characteristics of the electric force for charges in a resting state: Unlike charges attract each other whereas like charges repel one another. the two positive charges attract a negative charge, while negative charges repel one another.

To know more about dielectrics visit:-

https://brainly.com/question/30523009

#SPJ1

Answer:d

Explanation:magnet is to weak

Answer: that means to shut your trap you little turd

Explanation:

Answer:

Explanation:

Most corrosive materials are non-flammable, except for acetic acid and formic acid. However, nitric acid and perchloric acid are oxidizers and should be segregated from combustible and flammable materials. Corrosive materials can have other hazards, however, the corrosivity is usually the primary hazard.Flammable liquids burn at normal working temperatures while combustible liquids need heat before they will ignite All this info should help…. ✨

Answer:

51.2 m/

Explanation:

The headwind will slow down the airplane and make it move slower relative to the ground     98.7 - 47.5 = 51.2 m/ relative to ground

The average shear stress developed in the shear plane where the collar A and shaft are connected is 50.265 kPa.

The average shear stress can be calculated using the formula:

τ_avg = F / A

where F is the applied axial force of 5 kN and A is the shear area.

The shear area can be calculated using the formula:

A = π * d * t

where d is the diameter of the shaft (60 mm) and t is the thickness of the collar (15 mm).

Substituting the values, we get:

A = π * 60 * 15 * 10^-6 m^2

Calculating the average shear stress:

τ_avg = 5 kN / (π * 60 * 15 * 10^-6 m^2) = 50.265 kPa

Therefore, the average shear stress developed in the shear plane where the collar A and shaft are connected is 50.265 kPa.

Learn more about shear stress here: brainly.com/question/30328948

#SPJ4

False. The terminator of a gene is located downstream of the coding region.The terminator of a gene is a DNA sequence that signals the end of transcription, or the process by which genetic information is converted from DNA to RNA.

It is located downstream of the coding region, which is the part of the gene that contains the instructions for making a particular protein. The terminator helps to regulate the amount of mRNA that is produced, as well as to prevent the production of unwanted transcripts. The precise location and sequence of the terminator vary among different genes, but its role in regulating transcription is an important aspect of gene expression.

Find out more about transcription

brainly.com/question/14136689

#SPJ4

The point between the two charges where the electric field equal to zero is calculated to be 1.55 m.

The charge q₁ is given as 3 nc = 3 × 10⁻⁹ c

It is located at x₁ = 0.

The charge q₂ is given as 7.5 nc = 7.5 × 10⁻⁹ c

It is located at x₂ = 4 m.

Let us suppose that, electric field is zero at the point x, it is in between 0 and 4 m.

We know the formula for electric field as,

E = k q /r²

Let us equate the electric field at both the charges.

k q₁/x² = k q₂/(x₂ - x)²

q₁ (x₂ - x)² = q₂ x²

3 × 10⁻⁹× (4 - x)² = 7.5 × 10⁻⁹ × x²

3 × ( 16 + x² - 8x) = 7.5 ×x²

48 + 3x² - 24x = 7.5x²

4.5 x² + 24x - 48 = 0

The two values of x are,

x = 1.55, -6.883

The distance cannot be negative. So, the electric field at x = 1.55 m is said to be zero.

Thus, the required value of x is 1.55 m.

To know more about electric field:

https://brainly.com/question/4273177

#SPJ4

The electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It is represented as F = (k * q1 * q2) / r2, where F is the force, k is a constant, q1 and q2 are the charges, and r is the distance between the two particles.

Charge 1: 50.0 nC, located 20.0 cm to the left of origin

Charge 2: 35.0 cm to the right of origin

Using Coulomb's Law, the electric field at the origin due to charge 1 is:

E1 = kQ1/r^2

Where:

k = 8.99 x 10^9 Nm^2/C^2

Q1 = 50.0 nC = 5.00 x 10^-7 C

r = 20.0 cm = 0.20 m

Therefore,

E1 = (8.99 x 10^9 Nm^2/C^2)(5.00 x 10^-7 C)/(0.20m)^2

E1 = 2.24 x 10^5 N/C

Hence, the electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

To learn more about Coulomb's Law

Here: https://brainly.com/question/26892767

#SPJ4

A ball on an inclined plane (C) can accelerate at speeds between 0 and g.

An inclined plane, also referred to as a ramp, is a flat supporting surface that is tilted at an angle and has one end that is higher than the other.

One of the six simple machines, the inclined plane helps raise or lower a load. The unbalanced force causes objects placed on an inclined plane to accelerate.

In an inclined plane, the normal force does not act in the way that we are used to. Up until this point, normal force has always been seen to be directed upward, counter to the pull of gravity.

The truth is that normal forces are not always upward.

To know more about acceleration visit:

brainly.com/question/20798516

#SPJ4

Proton is subject to a dipole-induced force of F = 32.40 10-15 N. [(proh-ton)] A positively charged elementary particle that can be found in the atom's nucleus.

A proton, a subatomic particle, is found in the nucleus of every atom. The particle has a positive electrical charge, similar to the electron but moving in the other direction. The H+ ion or the hydrogen atom's nucleus are examples of protons. Each hydrogen atom, regardless of isotope, has one proton, each helium atom, two, each lithium atom, three, and so on. The electron, which is negatively charged, is a very light particle. These electrons go around the nucleus in different orbits. Protons are positively charged particles that have a mass of about 1 amu. These positively charged particles are found in the center of the atom, the nucleus.

Learn more about proton from here:

https://brainly.com/question/1252435

#SPJ4

The force that charge q1 exerts on q2 is opposite and equal in magnitude to the force that charge q2 exerts on q1.

What is charge?
Charge is a physical property of matter that can be either negative or positive. It is related to the electromagnetic force, and is measured in coulombs. Charge is the cause of electric fields and electric potential, which are important in many areas of physics and chemistry. Charge can be transferred from one object to another, and is conserved in any physical process. Charge can also be created from the motion of matter through a medium, such as when electrons are pushed from one material to another. Charge is always conserved, meaning that the net charge of a system will always be the same.

Therefore, The force that charge q1 exerts on q2 is opposite and equal in magnitude to the force that charge q2 exerts on q1.

To learn more about charge

Here: https://brainly.com/question/2373424

#SPJ4

"What goes up must come down." is not newton's law. Option C is the correct option.

What is laws?

Laws of Physics are by definition stated facts that have been derived and inferred from empirical observations. Simply put, physical laws are a way to categorize how the world behaves and interacts with us.

Newton's laws are:

First law:

Unless a force acts upon a body that is at rest or moving in a straight line at a constant speed, it will continue to be at rest or move in that direction.

Second law:

A numerical description of the modifications to a body's motion that a force can cause. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction.

Third law:

When two bodies come into contact, they exert forces on one another that are both equal in strength and directed in opposing directions.

To learn more about Newton's laws, click on the below link:

https://brainly.com/question/29266206

#SPJ4

The temperature of a 150-watt bulb having a surface area of 15 cm², a radius of 0.05 m, and an emissivity of 0.85 is 1200K.

According to the Stefan-Boltzmann law, P=eσAT⁴. The power of the bulb is 150 watts. The value of emissivity, e=0.85, and the radius, r=0.05m. The surface area, A= 15 cm²= 0.0015 cm². The value of the Boltzmann constant,σ =5.67×10⁻⁸ Wm² K⁴. So, the temperature,T⁴= P/eσA = 150/(0.85×5.67×10⁻⁸×0.0015) =(150×10⁸)/ (0.85×5.67×0.0015) = 20750×10⁸. Therefore Temperature,T= (20750×10⁸)^¼ = 1200 K.

So the temperature of the 150-watt bulb is 1200 K. Stefan-Boltzmann describes about the power that is radiated by a black body in terms of temperature. It states that the amount of radiation emitted by a black body per unit area is directly proportional to the fourth power of the temperature. While the typical situation is envisioned here is the radiation of a hot object to its cooler surroundings, this law is not limited here.

For further learning about Stefan Boltzmann's law, refer to the link:

https://brainly.com/question/14919749

#SPJ4

As a result, the point charge q₄ experiences a net electrostatic force of 4.80 x 10⁻² N.

The sum of the forces exerted on the point charge q₄ by the three other point charges is the magnitude of the net electrostatic force on that charge:

We can use Coulomb's law to determine the magnitude of [tex]F_{net}[/tex] :

                                     [tex]F_{net}[/tex] = F₁₂ + F₁₃ + F₂

                             F is equal to k × |q₁×q₂ / r₂,

where k is the Coulomb's constant, q₁ and q₂ are the charges of the two points, and r is the distance between the points.

The side of the square is the distance r for F₁₂,

                                     so r = 30.0 cm.

                     F₁₂ = k × |(31.0 pC)× (-23.0 C) / (30.0 cm)²

F₁₃ and F₂₃ have the same equation, but the charges are different, so we can calculate them in the same way.

We can then add the three forces to get the net force on q₄:

F₁₃ = k × |(31.0 pC)× |(-45.0 °C)| / (30.0 cm)²

F₂₃ = k × |(-23.0 °C)× |(-45.0 °C)| / (30.0 cm)²

                              Fnet = F₁₂ + F₁₃ + F₂₃

Fnet = (k × |(31.0 pC) × (-23.0 C)| / (30.0 cm)2) + (k × |(31.0 pC) × (-45.0 C)| / (30.0 cm)²) + (k × |(-23.0 C) × (-45.0 C)| / (30.0 cm)²)

When the charges and the distance are substituted

The magnitude of the net electrostatic force exerted on the point

                                charge q₄ is 4.80 x 10⁻² N

Fnet = (8.99 x 10⁹ Nm²/C² × |(31.0 pC)×(-23.0 °C)| / (30.0 cm)²) + (8.99 x 10⁹ Nm²/C² × |(31.0 pC) × (-45.0 °C)| / (30.0 cm)²)

                                             [tex]F_{net}[/tex] = 4.80 × 10 ⁻²

When electrons are added to or taken away from an object, an electrical charge is created. When electrons are added to an object, it takes on a negative charge due to their negative charge. Positive charge is created when an object loses its electrons.

Learn more about Electric charge :

brainly.com/question/26100412

#SPJ4

The statement accurately describes the motion of the object in the graph above is from 2s to 6s, the object is moving at 1.5 cm/s.

option D is the correct answer

A speed time graph is a graph that shows the motion of an object against time. They can also be referred to as velocity-time graphs.

The motion of the object in the graph above can be described as follows;

between 0 to 2 seconds, the speed of the object = 0 cm/s

between 2 to 6 seconds, the speed of the object = 1.5 cm/s

between 6 to 8 seconds, the speed of the object = 0 cm/s

Learn more about speed - time graph here: https://brainly.com/question/30015054

#SPJ1

Two equations represent double replacement reactions are:

C. 2C2H6+7O2=4CO2 +6H2o

D. Ca+MgS=CaS+Mg

A metathesis reaction, sometimes referred to as a double exchange reaction, double replacement reaction, or multiple decomposition reaction, is a chemical reaction involving the exchange of bonds between two non-reacting chemical species resulting in the formation of products with the same type of bond. This reaction is illustrated by the following scheme:

A-B + C-D → A-D + C-B

A metathesis reaction involves the exchange of two groups or ions between the reactants.

The bond between reacting species can be either ionic or covalent. Usually, this reaction produces an insoluble product from the soluble reactant. This product is referred to as precipitate.

Learn more about double replacement reaction at https://brainly.com/question/11678166.

#SPJ4

The  tension in the string of a conical pendulum is 18.6 N.

The  tension in the string of a conical pendulum can be determined using the following formula:

T = mg(L / L + lcos(θ))

where:

The  tension in the string of a conical pendulum is calculated as

T = 2.5 x 9.8 x (0.68 / (0.68 + (2.5 x 9.8 x cos(35°)))

T = 18.6 N.

Learn more about tension in string here: https://brainly.com/question/24994188

#SPJ1

The point between the two charges where the electric field equal to zero is calculated to be 0.32 m.

The charge q₁ is given as 2 μc = 2 × 10⁻⁶ c

It is located at x₁ = 0.

The charge q₂ is given as 5 μc = 5 × 10⁻⁶ c

It is located at x₂ = 1 m.

Let us suppose that, electric field is zero at the point x, it is in between 0 and 1 m.

We know the formula for electric field as,

E = k q /r²

Let us equate the electric field at both the charges.

k q₁/x² = k q₂/(x₂ - x)²

q₁ (x₂ - x)² = q₂ x²

2 × 10⁻⁶× (1 - x)² = 5 × 10⁻⁶× x²

2 × ( 1 + x² - 2x) = 5 × x²

2 + 2x² - 4x = 5x²

7 x² + 4x - 2 = 0

The two values of x are,

x = 0.32, -0.892

The distance cannot be negative. So, the electric field at x = 0.32 m is said to be zero.

Thus, the required value of x is 0.32 m.

To know more about electric field:

https://brainly.com/question/4273177

#SPJ4