. A force P pulls on a crate of mass m that is in contact with a rough surface. The figure shows the magnitudes and directions of the forces that act on the crate in this situation. What is the magnitude of the normal force on the crate? A) 57 N B) 80 N C) 160 N D) 196 N E) 230 N AFN 160N 60° 80 N W=196 N

Answers

Answer 1

Approximately 57 N is the magnitude of the normal force on the crate. Answer is option A.

Identify the forces acting on the crate. There are three forces acting on the crate:
- Force P pulling the crate at a 60° angle (AFN: 160 N)
- Weight of the crate (W = 196 N)
- Normal force (N) exerted by the surface

Resolve the force P into its horizontal and vertical components:
- P_horizontal = 160 N * cos(60°) = 80 N
- P_vertical = 160 N * sin(60°) = 160 N * (√3 / 2) ≈ 138.56 N

Apply Newton's second law in the vertical direction (assuming upward as positive direction):
- Sum of vertical forces = 0 (as the crate is not moving vertically)
- N - W + P_vertical = 0

Solve for the normal force (N):
- N = W - P_vertical = 196 N - 138.56 N ≈ 57.44 N

So, the magnitude of the normal force on the crate is approximately 57 N, which corresponds to option A.

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Related Questions


A pack of dogs are pulling a wooden sled and rider of combined mass
of 238 kg across dry snow. How much force do the dogs need to apply
to cause the sled to begin to move?

Answers

Answer:

FN=-Fg -> Fg=mg -> Fg = 238 kg*9.8 m/s^2 ->

Fg = -2432.4 so FN = 2432.4 -> FF = μs*FN ->

FF = 0.22*2332.4 N -> FF = 513.128 ->

Fapplied > 513.128 N

Explanation:

...

Can someone solve my vector addition problem I created?


Harry travels 40 meters east and then 45 meters south in an effort to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry. What is the resultant vector

Answers

The resultant vector is 60.2 meter in a direction 48.6° North of west.

What are resultant vectors?

Resultant vectors are the product of the addition of two or more vectors.

The resultant vector is obtained by vector addition methods such as:

Triangle vector addition methodParallelogram law of vector additionDirect addition

Considering the vector addition problem given:

Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.

The resultant vector of both Harry and Voldemort are the same since the crashed into each other.

Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m

Using Pythagoras' rule:

R = √(40² + 45²)

R = 60.2 meter

α = tan⁻¹(40/45)

α = 41.6

θ = 90 - 41.6

θ = 48.6°

Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.

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electrostatic precipitators use electrical charges to attract and track what pollutants?

Answers

Electrostatic precipitators use electrical charges to attract and trap pollutants, such as dust particles, sulfur dioxide, and smoke particles.

This technology works by using high voltage to ionize the pollutant particles, which changes their electrical charge and results in an attractive electrical force that is directed to metal plates or tubes, known as collectors.

Once the particles reach the collector, they build up and can be removed from the air. This technology is usually used to control emissions of particles that are too small to be blocked by traditional mechanical filters, such as those found in large power plants and fossil fuel facilities.

Because electrostatic precipitators are so efficient and powerful, they are now frequently used in many industries where air pollution control is needed. With proper maintenance and upkeep, this technology can be very effective in reducing air pollution, and keeping the surrounding air clean.

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100 POINTS WILL GIVE BRAINIEST TO BEST ANSWER!!!!!!!!!!!!!

see below

100 POINTS WILL GIVE BRAINIEST TO BEST ANSWER!!!!!!!!!!!!!see below

Answers

Answer:

What’s your question

Explanation:

And where

Answer:

its upside down

Explanation:

A 2018 Tesla Model S has a horsepower of 518. How many watts of power does this car model have?

Answers

Answer:

It depends on the model but these are the watts of each motor

Explanation:

Un motor: 258 HP (262 CV) Dual motor: 154 kW (209 CV) y 197 kW (268 CV). Performance: 154 kW (209 CV) y 225 kW (306 CV).

A tap supplies water at 26°c while another supplies at 82°c. If a man wishes to bath with water at 40°c, what is the ratio of the mass of hot water to that of cold water

Answers

Where a tap supplies water at 26°c while another supply at 82°c. If a man wishes to bath with water at 40°c, then the ratio of the mass of hot water to that of cold water is: 1/3.

What is the rationale for the above response?

The ratio of the mass of hot water to that of Cold water is determined as follows:

M₁C (82  40) = M₂C (40-26)

Where M₁C is the Mass of Tap 1; and

M₂C is the Mass of Tap 2.

Thus,

M₁C (82  40) = M₂C (40-26)

M₁/M₂ = 14/42

= 1/3

Thus, it is right to state that the ratio of the mass of hot water to that of cold water is: 1/3.

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sam, whose mass is 80 kg , takes off across level snow on his jet-powered skis. the skis have a thrust of 170 n and a coefficient of kinetic friction on snow of 0.1. unfortunately, the skis run out of fuel after only 13 s .

Answers

The distance covered by Sam within the first 13 seconds is 96.75 m.

Equation :

Given that the mass m of Sam is 80 kg and the force F is 170 N. The coefficient of friction is 0.1.

The net force is given below

Fₙ = F - F₁

Where Fₙ is the net force and F₁ is the friction force.

Fₙ = 170 - μmg

Fₙ = 170 - 0.1 x 80 x 9.8

Fₙ = 91.6

Fₙ = ma

91.6 = 80 x a

a = 91.6 / 80

a = 1.145 m/s²

For the first 13 seconds.

So, the distance covered by Sam with this acceleration is given .

s = ut + 1/2 at²

u is the initial velocity which will be zero and t is the time interval.

So,

s = 1/2 at²

s = 1/2 x 1.145 x 13²

s = 96.75 m

Hence, the distance covered by Sam within the first 13 seconds is 96.75 m.

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Write the chemical formula and chemical name for two phosphorus and four fluorine.

Answers

Answer:

2 moles of phosphorus difluoride

2PFsubscript2

I hope it will be useful.

Which of the following is the combination that is used in the formation of achromatic lenses?
1 point
1 convex and 1 plane mirror
2 convex lenses
1 convex and 1 concave lens
2 concave lenses

Answers

Answer:

convex and 1 plane mirror

Convex one and 1 plane mirror is your answer

A diver with a mass of 85 kg falls off of a high dive 12 m in the air. Calculate the velocity when he is 5m from hitting the water?

Answers

The velocity of the diver when he is 5 m from hitting the water is 10.7 m/s. We can solve this problem using the conservation of energy.

Who established the law of energy conservation?

The Law of Conservation of Energy was discovered in 1842 by Julius Robert Mayer. It is now known as the First Law of Thermodynamics, which states that energy neither creates nor destroys itself.

PE = mgh\

where:

m = mass of the diver = 85 kg

g = acceleration due to gravity = 9.81 m/s^2

h = height of the dive = 12 m

\(PE = (85 kg) *(9.81 m/s^2) * (12 m) = 9997.8 J\)

As the diver falls, the potential energy is converted into kinetic energy given by:

\(KE = (1/2)mv^2\)

When the diver is 5 m from hitting the water, his potential energy has decreased to:

\(PE = (85 kg) * (9.81 m/s^2) * (12 m - 5 m) = 6419.5 J\)

Since the total energy is conserved, we can equate the potential and kinetic energies at this point:

PE = KE

\(6419.5 J = (1/2) * (85 kg) * v^2\)

Solving for v, we get:

\(v = \sqrt(2 * 6419.5 J / 85 kg)\\= 10.7 m/s\)

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Electrons move towards the ________ end.
O negative
O positive
O front
O back

Answers

Answer:

they move towards the positive side... that's option 2

I think is positive

Calculate the force of an object that has a mass of 25 kg and an acceleration of 5 m/s. *

Answers

Answer:

F=ma

=25×5

=125 N ,,,,,,

Answer:

F = 125 N

Explanation:

We know, Force (N) = mass (kg) × acceleration (m/s²).

F = ma

⇒ F = 25 kg × 5 m/s²

∴ F = 125 N

Someone please help me!!! Please explain and I will mark brainliest!!!

Someone please help me!!! Please explain and I will mark brainliest!!!

Answers

R=10+15+30

55 is the answer to the question

A cross-country skier moves 36 meters eastward, then 44


meters westward, and finally 22 meters eastward.


For this motion, what is the distance moved?


Tap button at left to enter


Distance = 102


answer using our built-in


number pad.


What is the magnitude and direction of the


displacement?


Magnitude =


Tap button at left to enter


answer using our built-in


number pad


Dir'n =


(Tap field to change.)


Check Answers

Answers

Answer:

a) 102 meters

b) 14 meters

c) The direction is eastward.

Explanation:

Distance is said to be the length between two points. It is a scalar quantity.

a) The distance moved = 36 + 44 + 22

                                       = 102 meters

b) Displacement is the distance moved in a specified direction.

Representing the distance moved with specific direction as a directed number, 36 meters eastward = +36, 44 meters westward = -44, and 22 meters eastward = +22

/Displacement/ = +36 -44 +22

                         = +58-44

                         = 14

The magnitude of the displacement is 14 meters.

c) The direction is eastward.

So that the magnitude of displacement and his direction is 14 meters eastward.

Hey Guys
(Read the paragraph and answer the questions follows) The maximum amount of solute that can be dissolved in a fix amount of solvent at a fix temperature is called solubility. On the basis of amount of solute dissolved in solution, there are three types of solutions- i. supersaturated, ii. saturated and iii. saturated solutions. Supersaturated solutions contains more amount of solute than solubility. Saturated solutions has amount of solute equal to the solubility but unsaturated solutions has less than solubility. Supersaturated solutions are unstable and convert into saturated solutions by precipitation. Unsaturated solutions can be converted into saturated by evaporation of solvent. A). If solubility of a solute 'X' in water is 29 g/Litre, 2.9 g/Litre solution of solute 'X' in water is called- * 2 points Saturated Supersaturated unsaturated semisaturated 8) B). If solubility of another solute 'Y' in water is 2.9 g/Litre, saturated solution of it should contain _____ g solute in ________ mL solution. * 2 points 29, 50,000 19, 1000 1.45, 500 2.9, 50,00 This is a required question 8) C). 20 g solute is dissolved in 50 g of solution. Calculate the mass % of solution. * 2 points 20% 50% 40% 25%
Ans It​

Answers

(A) The solution X is unsaturated

(B) The solution Y should contain 2.9 g solute in 1000 mL solution.

(C) The percentage by mass of the solute is 40%

(A) The type of solution X is determined as follows;

The maximum amount of solute that can dissolve in solution  X  =  29 g/Liter

The amount of solute in solution X = 2.9 g/Liter

This solution is unsaturated because the amount of solute present is less than the maximum the solution can take.

(B) The amount solute and volume in the solution Y is calculated as follows;

The solubility = 2.9 g/Liter

\(solubility = \frac{2.9 \ g}{L} \times \frac{L}{ mL \times 1000} = \frac{2.9 \ g}{1000mL}\)

Thus, the solution should contain 2.9 g solute in 1000 mL solution.

(C) The percentage by mass of the solute is calculated as;

\(mass \ \% = \frac{20 \ g}{50 \ g} \times 100 \% = 40 \%\)

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in contrast to aristotle's way of explaining nature, galileo relied on

Answers

In contrast to Aristotle's way of explaining nature, Galileo relied on empirical observation and experimentation.

Aristotle, a Greek philosopher, relied on deductive reasoning and philosophical principles to explain the natural world. He emphasized the importance of logic and believed that knowledge could be attained through contemplation and thought.

On the other hand, Galileo, an Italian physicist and astronomer, revolutionized the scientific method by advocating for empirical observation and experimentation. He conducted experiments and made accurate measurements to understand the natural phenomena. Galileo's reliance on empirical evidence and the scientific method laid the foundation for modern scientific inquiry.

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1 Determine the wavelength, frequency, and amplitude for each wave.
2. Sprays as
Summarize it!
c The
Time Elapsed: 45
D
-0.5 m
10 m
15 m
20 m
0.5 m
I. 0.5 m

Answers

Answer:

cbccfggssdaffzftyrd

Nuclear engineer Meena Mutyala argues that nuclear power is an environmentally _____ technology, operating with essentially no emissions.
A hostile
B culpable
C inimical
D benign
E capricious
F innocuous

Answers

Nuclear engineer Meena Mutyala argues that nuclear power is an environmentally benign technology, operating with essentially no emissions.

How does nuclear power function and what is it?

The fission of uranium nuclei, also known as nuclear fusion, is the source of nuclear energy. As a result, heat is produced, which turns into steam, which then turns into energy in a turbine generator. Nuclear energy facilities don't release greenhouse gas emissions because they don't burn fuel.

New applications for nuclear electricity or material are being studied by nuclear engineers. To help in the development of preventive steps, they investigate nuclear accidents and analyze the data. Some examine the viability of various approaches to using, controlling, and recovering nuclear material.

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which of the following processes always results in an increase in the energy of a system? multiple choice the system loses heat and does work on the surroundings. the system gains heat and does work on the surroundings. the system loses heat and has work done on it by the surroundings. the system gains heat and has work done on it by the surroundings. none of these is always true.

Answers

The process that always results in an increase in the energy of a system is:

the system gains heat and has work done on it by the surroundings.

What is Work Done?

Work done is the energy transferred to or from an object by means of a force acting on it, causing it to move a certain distance in the direction of the force. The amount of work done is defined as the product of the magnitude of the force and the distance moved by the object in the direction of the force. Work is a scalar quantity, and its unit is joule (J) in the SI system of units. Work can be positive, negative, or zero depending on the direction of the force and the direction of the displacement of the object.

When heat is added to a system, the internal energy of the system increases, which results in an increase in its energy. Similarly, when work is done on a system, it also results in an increase in its energy. Therefore, when both heat is added to a system and work is done on it by the surroundings, the energy of the system increases. This is because the system gains energy from both heat and work.

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The amount of work a machine can do because of an object's kinetic and potential energy is called ___________.

Answers

The amount of work a machine can do because of an object's kinetic and potential energy is called mechanical energy. Mechanical energy is the sum of an object's kinetic energy, which is the energy due to its motion, and its potential energy, which is the energy it possesses because of its position or condition.



To understand this concept, let's consider an example. Imagine a roller coaster on top of a hill. As the roller coaster starts moving down the hill, its potential energy decreases because it is losing height. However, its kinetic energy increases because it is gaining speed. At the bottom of the hill, the roller coaster has minimal potential energy but maximum kinetic energy.

The total mechanical energy of the roller coaster remains constant throughout the ride, demonstrating the conservation of energy. This principle applies to other machines as well, such as a pendulum or a swinging door. By understanding and utilizing the mechanical energy of objects, machines can perform useful work.

In summary, the amount of work a machine can do due to an object's kinetic and potential energy is known as mechanical energy. It encompasses both the object's motion-related energy and its position-related energy.

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how to find change in velocity with my speed data?​

how to find change in velocity with my speed data?

Answers

Answer:

ΔV = 9

Explanation:

Given your speed data, we can simply think about it graphically and calculate the slope. When your data is layed out on a graph there is a linear relationship, so it has a constant slope. We can calculate slope easily with your data using y2-y1/x2-x1 so 18-9/2-1. This gets us a constant change in velocity (slope) of 9.

Who would benefit from using a topographic map? Check all that apply
Military
Hikers
Geologists
Submarine divers
Cross Country runners
Airplane Pilots

Who would benefit from using a topographic map? Check all that applyMilitaryHikersGeologistsSubmarine

Answers

G I think..................................

A calories to system releases 686 kj and does 100 kj of work. What is the change in internal energy of the system

Answers

The energy released by the system is 686 kJ and the energy used is 100 kJ, so the change in internal energy of the system is 586 kJ.

The change in internal energy of the system is equal to the difference between the energy released and the energy used.

Internal energy is the sum of all potential and kinetic energies of the molecules in a system. Potential energy is the energy stored in the system due to the positions and interactions of its particles, while kinetic energy is the energy associated with the motion of the particles.

When energy is released, the internal energy of the system increases, and when energy is used, the internal energy of the system decreases. In this case, energy was released and used, but the release was greater than the use, so the change in internal energy was an increase of 586 kJ.

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Which two subfields of psychology are similar and involve diagnosing and treating mental disorders?


A). Counseling psychology and social psychology


B). Clinical psychology and developmental psychology


C). Clinical psychology and counseling psychology


D). Developmental psychology and counseling psychology

Answers

The two subfields of psychology that are similar and involve diagnosing and treating mental disorders are Clinical psychology and the Counseling psychology. Therefore, the correct answer is:  C).

Clinical psychology and Counseling psychology. Both of these subfields involve the assessment, diagnosis, and treatment of mental health disorders, although they may differ in their focus and approach. Clinical psychology tends to the focus on more severe mental health issues, such as schizophrenia and the bipolar disorder, while Counseling psychology tends to focus on a wider range of issues, such as stress management, relationship problems, and career counseling. Hence correct answer is : C) .

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What is a common characteristic of outer planets?

Answers

Answer:

They are all composed of gases.

Explanation:

The inner planets are mainly composed of types of rock. The surface and interior is rocky but the atmosphere is composed of gases. The outer planets happen to be composed mainly of gas, or in other terms, elements. The two primary elements that make up these planets are hydrogen and helium. Because the inner planets are made up of primarily, they have given the nickname the "Terrestial Planets" and the outer planets are called "Gas Giants" because of their gas (elements) composed atmospheres and overall interiors.

Answer: A: they are composed of gas

Explanation:

the amount of energy available per kilogram of the resource is called ____.

Answers

The amount of energy available per kilogram of the resource is called energy density.

Energy density is the amount of energy stored in a particular mass of a substance. Energy per unit volume or energy per unit of mass are both ways to express energy density. A high energy density means that more energy is stored in the same amount of mass or volume. Materials with a high energy density are regarded as ideal for producing energy.Energy density is determined by the mass and chemical structure of the material, which affects the potential amount of energy that can be extracted from it. Fossil fuels, for example, have a high energy density since they contain a large amount of potential energy that can be extracted via combustion. However, renewable energy sources like wind and solar have a lower energy density, and their potential energy output is determined by environmental conditions like wind speed and sunlight intensity.

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Brady chucks a water balloon at Russell in the lunchroom. Running for his life, Russell travels 147m in 9.8s. What was his speed?

Answers

The formula for speed is s = d/t. D is distance and t is time.
List what you know:
d = 147 m
t = 9.8 s

Now solve for s by plugging 147m in for d and 9.8s in for t.

s = 147m/9.8s = 15m/s
Russell’s speed was 15m/s

For the curve defined by r(t) = (e-t, 2t, et) = find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t T(t) = Ñ(t) = ат aN = 2.

Answers

The unit tangent vector T(t) for the curve defined by r(t) = (e², 2t, e) at t = 2 is \(\[T(2) = \left(\frac{e^2}{\sqrt{e^4 + 16 + e^2}}, 4, e\right)\]\). The unit normal vector N(t) for the curve at \(\[N(2) = \left(\frac{-2e^2}{\sqrt{4e^4 + 1}}, 1, 0\right)\]\).

The normal acceleration ar at \(\[ar(2) = \frac{\sqrt{4e^4 + 1}}{\sqrt{e^4 + 16 + e^2}}\]\). The tangential acceleration at t = 2 is aT(2) = 0 since the curve is defined as a straight line and has no curvature.

Determine how to find the tangent vector?

To find the unit tangent vector T(t), we take the derivative of the position vector r(t) with respect to t and normalize it by dividing by its magnitude. The derivative of \(\[T(t) = \frac{(e^2, 4, e)}{\sqrt{e^4 + 16 + e^2}}\]\).

To find the unit normal vector N(t), we differentiate T(t) with respect to t and normalize the resulting vector. The derivative of T(t) is (0, 0, 0), which means the curve is a straight line. Therefore, N(t) is constant and given by \(\[N(t) = \frac{(-2e^2, 1, 0)}{\sqrt{4e^4 + 1}}\]\).

The normal acceleration ar at t = 2 is the magnitude of the derivative of T(t) with respect to t, which simplifies to \(\[\frac{\sqrt{4e^4 + 1}}{\sqrt{e^4 + 16 + e^2}}\]\).

Since the curve is a straight line, there is no change in the direction of the velocity vector, and therefore, the tangential acceleration aT is zero.

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A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) has charge Q uniformly distributed over its surface.

a. Calculate the electric potential at any point x along the axis of the tube. Take the origin to be at the center of the tube, and take the potential to be zero at infinity.

Express your answer in terms of the given quantities and appropriate constants.

b.Show that if L≪R , the result of part A reduces to the potential on the axis of a ring of charge of radius R .

Essay answers are limited to about 500 words (3800 characters maximum, including spaces).

c.Use the result of part A to find the electric field at any point x along the axis of the tube.

Express your answer in terms of the given quantities and appropriate constants.

Answers

a. The electric potential at any point x along the axis of the hollow cylinder is V = (kQ/2πε₀) * ln[(x + √(x² + R²))/(x - √(x² + R²))].

b. The potential at any point x along the axis of the cylinder reduces to the potential on the axis of a ring of charge with radius R.

c. The electric field along the axis of the hollow cylinder is E = (kQx/4πε₀) * [(x² - R²)/((x² + R²)√(x² + R²))].

a. To calculate the electric potential at any point x along the axis of the hollow cylinder, we consider a small ring element on the surface of the cylinder at distance r from the axis.

The potential contribution from this ring element can be calculated as dV = (kQ/4πε₀) * (1/r) * dr, where k is the electrostatic constant, Q is the total charge on the cylinder, ε₀ is the permittivity of free space, and dr is an element of the length of the ring.

Integrating this expression over the entire length of the cylinder, we can obtain the electric potential at any point x along the axis.

The resulting expression for the electric potential is V = (kQ/2πε₀) * ln[(x + √(x² + R²))/(x - √(x² + R²))], where R is the radius of the cylinder.

b. When the length of the cylinder (L) is much smaller than its radius (R), i.e., L≪R, the result in part A simplifies. In this case, we can approximate the hollow cylinder as a ring of charge with radius R.

As the length of the cylinder becomes negligible compared to its radius, the contribution of each point on the cylinder's surface to the potential at a point on the axis becomes approximately equal.

Therefore, the potential at any point x along the axis of the cylinder reduces to the potential on the axis of a ring of charge with radius R.

c. To find the electric field at any point x along the axis of the hollow cylinder, we can differentiate the electric potential obtained in part A with respect to x. The electric field, E, is then given by E = -dV/dx.

Differentiating the potential expression from part A and simplifying, we find that the electric field along the axis of the hollow cylinder is E = (kQx/4πε₀) * [(x² - R²)/((x² + R²)√(x² + R²))].

The concept of electric potential and electric fields plays a fundamental role in understanding the behavior of charges and their interactions.

The potential at a point in an electric field determines the work done to move a unit positive charge from infinity to that point.

The electric field, on the other hand, describes the force experienced by a charge at a given point.

Understanding the potential and field of complex charge distributions, such as the hollow cylinder, allows us to analyze and predict the behavior of charges in various systems and applications, including electrical circuits, capacitors, and particle accelerators.

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14. The average speed of a car was 60 m/s by the time it reached the finish line. The car moved in a straight line and traveled from the starting
line to the finish line in 8.0 sec. How far was the finish line?

Answers

7.5m. Have a good day :)
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How is Carl Sandburg's poem Dreams In The Dusk divided? one major objection to the early skinnerian approach to psychology is that it What is the slope of the line? What is the factored form of 8x24-27y6?o (8x-27y2) (2x+xy+3y*) (2x 3y)(4x66xy +9y4)0 (2x-3y) (4x6 +6xy +9y)(8x-27y) (2x6-Bxy+3y4) Suppose that you are conducting a field experiment with plants. You are testing the hypothesis that plants grow faster when mulch covers the soil. Plan how you would conduct the experiment. Include the types of evidence you would gather. Then plan how you would repeat it. Janet has enough money to buy either 6 markers or 12 pens A football team has a net yardage of 28 1/3 yards on a series of plays. The team needs a net yardage of 30 yards to get a first down. How many yards do they have to get on their next play to get a first down? Area and circumference. Please help The rate of interest on money held in a savings account, _______ the amount of money saved.a.decreasesc.has no effectb.increasesd.none of the abovePlease select the best answer from the choices providedABCD Abner collects postcards that his friendssend him when they travel. He can put6 cards on one scrapbook page. Howmany pages does Abner need to fit42 postcards? NEED ANSWER ASAP PLS ITS DUE ON Dec 2 2022 AND TODAY IS Dec 1 2022 Terri Vogel, an amateur motorcycle racer, averages 129.77 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. a. What is the distribution of X?XN(___________, _________). b. Find the proportion of her laps that are completed between 131.69 and 134.04 seconds________.c. The fastest 4% of laps are under__________seconds.d. The middle 70% of her laps are from seconds________ to_________ seconds. please help !! I dont know what the awnser is, i put mean, medium, and mode for the first try adn it gave me partial NEED HELPPPPPP due tonightscinece Unless dividends are treated as a residual, in the long run a firm may have to:A. All of the items listed here.B. Operate at a suboptimal debt/equity ratio.C. Finance dividend payments through the sale of common stock.D. Forgo investments with positive NPVs. the g1 checkpoint checks for DNA damage before the cell moves to the next stage why is this important You want to have $26,000 for a down payment on a house 8 years from now. If you can earn 5.8 percent, compounded annually, on your savings, how much do you need to deposit today to reach your goal? Do not use 5, use two decimals or yor answer will be marked wrong (Example 1234.56) question 2 options: prometheus acted out of purely selfish motives and to ingratiate himself with zeus. T/F ? Please help me with this :) how did peasants and nobles feel about emancipation? Here I will be giving a Brainiest to a good answer :D