In a hydraulic press, a force of 200 N is applied to master piston of area of 25cm-2. If the press is designed to produce a force of 5000N, determine
a:the area of the slave piston
b:the radius of the slave piston

Answers

Answer 1

Answer:

\(625\ \text{cm}^2\)

\(14.1\ \text{cm}\)

Explanation:

\(F_1\) = Force applied to master piston = 200 N

\(F_2\) = Force applied to slave piston = 5000 N

\(A_1\) = Area of master piston = \(25\ \text{cm}^2\)

\(A_2\) = Area of slave piston

r = Radius of slave piston

From Pascal's law we have

\(\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\\Rightarrow A_2=\dfrac{F_2}{F_1}A_1\\\Rightarrow A_2=\dfrac{5000}{200}\times 25\\\Rightarrow A_2=625\ \text{cm}^2\)

The area of the slave piston is \(625\ \text{cm}^2\)

Area of the slave piston is given by

\(A_2=\pi r^2\\\Rightarrow r=\sqrt{\dfrac{A_2}{\pi}}\\\Rightarrow r=\sqrt{\dfrac{625}{\pi}}\\\Rightarrow r=14.1\ \text{cm}\)

The radius of the slave piston is \(14.1\ \text{cm}\).


Related Questions

. explain why the smell of smoke when you are sitting at a campfire does not trigger alarm, but the smell of smoke in your residence hall does.

Answers

Our sense of smell can adapt or become habituated to familiar and continuous stimuli, like the scent of smoke at a campfire.

The different reactions to the smell of smoke in these two situations are due to context and prior associations. When sitting at a campfire, the scent of smoke is typically associated with a positive and relaxing experience, while in a residence hall, the scent of smoke is more likely to be associated with a potential fire or danger.

The brain processes these different associations and can trigger a different response, such as an alarm or heightened state of alertness in response to smoke in a residence hall.

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What happens when a mixture is formed?

Answers

physical properties change

hope that helps

Answer:

Explanation:

A mixture can usually be separated back into its original components. Some examples of mixtures are a tossed salad, salt water and a mixed bag of M&M's candy.

How do supersonic flights create sonic boom? Please explain in detail.

Answers

Supersonic flights are moving with speed greater than that of sound. This speed through air will combine the pressure waves and creates shock waves. Continuation of shock waves leads to sonic boom in air.

What is sonic boom ?

Sonic booms are sound created on the ground by overpressure in the air generated by fastly moving objects. Similar to someone dumping goods from a moving car, an aircraft travelling at supersonic speeds continuously produces shock waves that cause sonic booms to travel throughout its flight path.

The boom seems to be swept rearward as it moves away from the aeroplane from its point of view. The boom will strike the ground in front of the aircraft if the aircraft makes a rapid turn or pulls up.

The abrupt start and release of pressure following the building by the shock wave or "peak overpressure" is what is heard as a "sonic boom" on the ground. Only a few pounds per square foot change in pressure results from a sonic boom, which is about equivalent to the pressure shift we experience in an elevator.

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Answer #49 please and thank you

Answer #49 please and thank you

Answers

when Force (N) is 10.0 Length (m) is 0.60

when Force (N) is 8.0 Length (m) is 0.40

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 2.0 Length (m) is 0.10

chatgpt

49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:

Period (T) = 2π√(Length (L) / g)

Substituting the given values:

2.3 = 2π√(L / 1.6)

To solve for L, we can rearrange the formula:

L = (2.3 / (2π))^2 * 1.6

L ≈ 0.781 meters (or 78.1 centimeters)

So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.

50. Ranking Task:

To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.

Ranking from least to greatest period:

1. A: 10 cm long, mass = 0.25 kg

2. C: 20 cm long, mass = 0.25 kg

3. B: 10 cm long, mass = 0.35 kg

There is a tie between pendulums A and C, as they have the same length but different masses.

Explain how the Laws of planetary motion and Newton’s laws allow the hotel to keep moving in space.

Answers

Answer:

Explanation:

i am sorry i needed points

Please help me with the highlighted part! I dont know the answer.

Please help me with the highlighted part! I dont know the answer.

Answers

Diamond, graphite and fullerenes (substances that include nanotubes and 'buckyballs' , such as buckminsterfullerene) are three allotropes of pure carbon. In all three allotropes, the carbon atoms are joined by strong covalent bonds, but in such different arrangements that the properties of the allotropes are very different.

Because of their distinctive structural makeup, graphite and diamond are distinct materials. Both have extremely high melting points due to their giant covalent structures. Diamond is incredibly strong and hard due to the four covalent links that each carbon atom in the mineral has with other carbon atoms. However, because each carbon in graphite is connected to three other carbons, it forms in layers.

Even though graphite is used to make pencils, despite the fact that each carbon atom only has three bonds, the layers are actually highly strong and have delocalized "free" electrons between them. Graphite appears soft because these electrons act as a lubricant between layers, allowing them to slide over one another. Graphite conducts electricity due to the free electrons. Diamond does not carry electricity because it lacks these free electrons.

There are more than three allotropes of carbon. These include diamond, graphite, graphene, carbon nanotubes, fullerenes, and carbon nanobuds.

Diamond

In a three-dimensional array, four additional carbon atoms are covalently attached to each carbon atom in a diamond. In essence, a diamond is one enormous molecule.

Graphite

The carbon atoms in graphite are bonded together in sheets of connected hexagons that resemble chicken wire. In essence, each sheet is a single molecule.

Each carbon atom in a sheet establishes solid covalent bonds with three other carbon atoms. The only forces keeping the sheets packed together are the modest intramolecular forces.

Graphene

In the form of a single sheet of graphite that is only one atom thick, graphene is made up entirely of carbon.

Nanocarbon tubes

Graphene sheet wrapped into a cylindrical tube of carbon atoms is how a carbon nanotube looks. Each atom connected to three other atoms, and the tube is one atom thick.

C60 and buckminsterfullerene

A single sheet of carbon atoms that has been folded into a spherical is what makes up buckminsterfullerene. Three additional atoms are connected to each carbon atom. With a carbon atom at each of the 20 hexagonal and 12 pentagonal corners, sixty carbon atoms are arranged in the shape of a ball.

There are numerous other known carbon balls, such as C70, C76, C84, and C540. They are collectively referred to as "buckyballs" or "fullerenes" and have varying amounts of pentagons and hexagons.

Nanocarbon buds

An allotrope of carbon called carbon nanobuds has fullerene-like "buds" that are covalently bonded to the sidewalls of carbon nanotubes.

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Question 2 of 10
Which of the following represents a beta particle?
O A. e
OB. Y
O C. a
O D. He

Answers

Answer
I think A: e

Voltage


Depends on the amount of resistance
Depends on the amount of current
Is the measurement of electrical pressure
All of the above

Answers

Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.

According to the Ohm's Law,  the current through a conductor between two points is directly proportional to the voltage across the two points.

Mathematically,

V ∝ I

V = IR

where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.

Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Hence All of the above option in the given question are true.

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When practicing reading skills, you should focus on _______.

content recall
comprehension
speed
all of the above

Answers

Answer:

I would say the answer is All the above.

Explanation:

If this wasn't what you were looking for please don't hesitate to comment again! Have a nice day/night! :)

Answer:

all the above

Explanation:

An object is dropped from rest and falls freely 20 meters to Earth. When is the speed of the object 9.8 meters per second?

Answers

Answer:

at the end of its first second of fall

Explanation:

Can I have brainliest

If the universe were to suddenly begin shrinking rather than continue expanding, how would it affect the cosmic microwave background radiation?
A. It would decrease in temperature.
B. It would blue-shift.
C. It would red-shift.
D. It would increase in temperature.

Answers

If the universe were to suddenly begin shrinking rather than continuing to expand, it would have a significant effect on the cosmic microwave background radiation (CMB).

The CMB is the afterglow of the Big Bang and is observed as a nearly uniform background radiation in all directions. It is thought to have been emitted when the universe was about 380,000 years old and had cooled enough for neutral atoms to form.

If the universe were to suddenly begin shrinking, the photons in the CMB would lose energy as they travel through the contracting space. This would cause the CMB radiation to shift to shorter wavelengths, which is known as blue-shifting.

Therefore, the correct answer is B. It would blue-shift.


Our Sun shines bright with a luminosity of 3.828 x 1025 Watt. Her energies
responsible for many processes and the habitable temperatures on the earth that
make our life possible.
a) Calculate the amount of energy arriving on the Earth in a single day
b) To how many litres of heating oil (energy density 37.3 x 10^6 J/litre is the equivalent?
C) The Earth reflects 30% of this energy : Determine the temperature on Earth's sufact
d) what other factors should be considered to get an even more precisa temperature postiache
Note: The Earth's radius is 6370km; the Sun's sadius is 696 ×10^3km, I AU is 1.495 × 10^8km)​

Answers

Answer:

a)   E = 1.58 10²¹ J , b) Oil = 4,236 107 liter ,  e)   T = 54.3 C

Explanation:

a) To calculate the energy that reaches Earth, let us combine that the power emitted by the Sun is distributed uniformly on a spherical surface

     I = P / A

     A = 4π r²

in this case the radius of the sphere is the distance from the Sun to Earth r = 1.5 10¹¹ m

     I = P / A

     I = P / 4π r²

let's calculate

     I = 3,828 10²⁵/4 pi (1.5 10¹¹)²

     I = 1.3539 10²W / m² = 135.4 W / m2

the energy that reaches the disk of the Earth is

    E = I A

the area of ​​a disc

    A = π r²

    E = I π r²

where r is the radius of the Earth 6.37 10⁶ m

     E = 135.4 π(6.37 10⁶)

     E = 1,726 10¹⁶ W

This is the energy per unit of time that reaches Earth

    t = 1 dai (24h / 1day) (3600s / 1h) = 86400 s

     

    E = 1,826 10¹⁶ 86400

     E = 1.58 10²¹ J

b) for this part we can use a direct proportions rule

      Oil = 1.58 10²¹ (1 / 37.3 10⁶)

      Oil = 4,236 10⁷ liter

c) to silence the surface temperature of the Earth we use the Stefan-Bolztman Law

       P = σ A e T⁴

       T = \(\sqrt[4]{P/Ae}\)

nos indicate the refect, therefore the amount of absorbencies

       P_absorbed = 0.7 P

let's calculate

       T = REA (0.7 1.58 1021 / [pi (6.37 106) 2 1)

       T = RER (8,676 106)

       T = 54.3 C

b) Among the other factors that must be taken into account is the greenhouse effect, due to the absorption of gases from the atmosphere

what is the speed of a plane that travels 5000 miles north forward by 10,000 miles north and 20 hours

Answers

The average speed of the plane is 750 miles/hour.

Initial distance covered by the plane, d₁ = 5000 miles

Second distance covered by the plane, d₂ = 10000 miles

Time taken by the plane to cover distance, t = 20 hours

The average speed of an object is defined as the total distance covered by the object in a given time.

So,

The total distance covered by the plane,

d = d₁ + d₂

d = 500 + 10000

d = 15000 miles

The expression for the average speed of the plane is given by,

v = (d₁ + d₂)/t = d/t

v = 15000/20

v = 750 miles/hour

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An object moving with a constant
acceleration changes its velocity from
10ms' to 20 ms' in five seconds. What is the
distance travelled in five seconds ​

Answers

Answer:

Acceleration:

\({ \tt{a = \frac{v - u}{t} }} \\ { \tt{a = \frac{20 - 10}{5} }} \\ { \tt{a = 2 \: m {s}^{ - 2} }}\)

From third equation:

\({ \bf{ {v}^{2} = {u}^{2} + 2as}} \\ { \tt{s = \frac{ {20}^{2} - {10}^{2} }{2 \times 2} }} \\ = { \tt{s = 75 \: m}}\)

Answer:

Formula = m/s

Explanation:

The answer is 10 m / 5 seconds = 2 meters distance

The answer is 20 m / 5 seconds = 4 meters distance

D
Question 2
What are the coefficients needed to balance this chemical equation?
___O₂ → CO₂ +___ H₂O
C₂H5OH +_
O 6, 2, 6, 4
O 6, 6, 2,4
O 1, 3, 2, 3
1, 2, 2, 1
2 pts

Answers

Hello and Good Morning/Afternoon:

Original Question: C₂H₅OH + __O₂ → __CO₂ + __ H₂O

To balance this equation:

⇒ must ensure that there is an equal number of elements on both sides of the equation at all times

Let's start balancing:

On the left side of the equation, there are 2 carbon molecule

              ⇒ but only so far one on the right side

         C₂H₅OH + __O₂ →  2CO₂ + __ H₂O

On the left side of the equation, there are 6 hydrogen molecules

               ⇒ but only so far two on the right side

         C₂H₅OH + __O₂ →  2CO₂ + 3H₂O

On the right side of the equation, there are 7 oxygen molecules

                ⇒ but only so far three on the left side

         C₂H₅OH + 3O₂ →  2CO₂ + 3H₂O

Let's check and make sure we got the answer:

                           C₂H₅OH + 3O₂ →  2CO₂ + 3H₂O

                2 Carbon                ⇔                    2 Carbon

                6 Hydrogen            ⇔                   6 Hydrogen

                7 Oxygen                ⇔                   7 oxygen

Thefore the coefficients in order are:

  ⇒ 1, 3, 2, 3

Answer: 1,3,2,3

Hope that helps!

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A cement mixer of radius 2.5 m turns with a period of 50 sec/rev. What is the centripetal force of a
small piece of dried cement of mass 50 g stuck to the inside wall of the mixer?

Answers

The centripetal force acting on the small piece of dried cement is 0.01 N   when mass 50 g stuck to the inside wall of mixer.

Centripetal force :

Any force that alters velocity in the direction toward the center of a circular motion is referred to as a centripetal force. The centripetal force is produced by the portion of the force that is perpendicular to the velocity.

Evaluating :

The period of the cement mixer can be calculated as:

                                T = 50 sec/rev

                                     = 2πr/v,

where r is the radius of the mixer and

v is the velocity of the piece of dried cement.

Solving for v, we get v = 2πr/T.

Substituting the given values, we get

                               v = 2π(2.5 m)/(50 sec/rev)

                                         = 0.314 m/s.

The centripetal force acting on the piece of dried cement can be calculated using the formula :

                                     F = m v² / r,

where m is the mass of the cement,

v is the velocity, and

r is the radius of the mixer.

Substituting the given values, we get

                                 F = (0.05 kg)(0.314 m/s)²/(2.5 m)

                                                      = 0.01 N.

Therefore, the centripetal force acting on the small piece of dried cement is 0.01 N.

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What is a distinguishing feature in a city known as?
OA) hot spot
OB) landmark
C) state legend
OD) state park

Answers

A defining characteristic of a city is often referred to as a "landmark." A landmark is a distinctive feature or building that stands out and is used to identify or represent a location. Landmarks can be man-made, such as structures, monuments, or historical locations, or they can be natural, like mountains, rivers, or lakes.

Landmarks are significant tourist destinations for both locals and visitors because they frequently have historical, cultural, or architectural value. They can serve as a symbol of a city's identity, history, and personality and end up being recognised as the place's iconic symbols. Landmarks might be notable buildings, statues, cathedrals, museums, or bridges that have come to symbolise the city in which they are located.

Therefore, option (OB) "landmark" is the term used to describe a distinguishing feature in a city.

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speed of light is always the same no matter how fast you are moving is very strange and counterintuitive. t/f

Answers

The statement "the speed of light is always the same no matter how fast you are moving" is true. This phenomenon is known as the constancy of the speed of light.

According to the theory of relativity, the speed of light in a vacuum is a constant value that is independent of the motion of the observer. This means that no matter how fast you are moving, you will always measure the speed of light to be the same value.

This idea may seem strange and counterintuitive, but it has been experimentally verified and is now a fundamental principle of modern physics. It has important consequences for our understanding of the nature of space and time, and it has played a key role in the development of many important scientific theories, including the theory of relativity.

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If an elevator accelerates upward at 10 ms−2 , what is the average blood pressure in the brain? What is the average blood pressure in the feet? If the elevator accelerates downward with the same acceleration, what is the average blood pressure in the brain and feet? take g = 10 ​

Answers

The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.

When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.

Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.

Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)

When the elevator accelerates upward at \(10 ms^{-2}\),  the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.

This happens due to the gravitational force acting on the body.

Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.

Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.

Blood Pressure When Elevator Accelerates Downward at  \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.

This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.

Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.

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1.
Which of the follow
following
cannot be zero?
A. Distance B. Displacement
" Velocity D. Acceleration
C.​

Answers

A.Distance , because distance cannot be zero

Question 4
Why do some competitive swimmers shave their heads and bodies?
А
To decrease weight
B.
to increaase blood flow
C
to decrease friction
D
to increase buoyancy

Answers

Answer:

C

Explanation:

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.

Answers

The distance travelled by the vehicle around the circular track is 1,052.4 m.

What is the distance travelled by the vehicle in one complete cycle?

The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.

d = 2πr

d = πd

Where;

r is the radius of the circular trackd is the diameter of the circular track

In one complete cycle, the  vehicle will travel the circular track only once.

d = π(335 m)

d = 1,052.4 m

Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.

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The complete question is below:

A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?

A boat on a river is moving with a steady speed. The engine is running.
What would happen if the engine was turned off?​

Answers

If the engine of a boat on a river is turned off while the boat is moving with a steady speed, several things would happen Loss of propulsion,Drifting,Loss of steering control and Potential hazards.

Loss of propulsion: Without the engine running, the boat would lose its power source for propulsion. The boat would gradually slow down and eventually come to a stop unless other external forces, such as currents or wind, continue to move it.

Drifting: Once the boat comes to a stop, it would start to drift with the current of the river or be affected by wind forces. The direction and speed of the drift would depend on the strength and direction of the current or wind.

Loss of steering control: When the engine is turned off, the boat's steering mechanism, such as a rudder, would also lose power. Without the ability to steer, the boat would follow the course determined by the river's current or the wind direction.

Potential hazards: Depending on the surroundings and the current conditions, there could be potential hazards for a boat that is no longer under power. These hazards might include other vessels, obstacles, shallow areas, or strong currents. The boat's crew would need to take appropriate actions to ensure the safety of the boat and its occupants.

It's important to note that the specific behavior of the boat after the engine is turned off can vary depending on factors such as the size and design of the boat, the strength and direction of the current, and the presence of wind or other external forces.
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Which is the right one?
(Show work)

Which is the right one?(Show work)

Answers

The correct answer is the last one.
Air resistance will cause less movement both in the vertical and the horizontal direction.

When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?

Answers

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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A child rows a rowboat north across a creek at 15 m/s. The creek flows east at 7
m/s.
What is the magnitude of the resultant velocity?

Answers

Answer:

16.55m/s

Explanation:

If a child rows a rowboat north across a creek at 15 m/s and creek flows east at 7

m/s. the magnitude of the resultant velocity is gotten using pythagoras theorem as shown

R² = 15²+7²

R² = 225+49

R² =274

R = √274

R = 16.55m/s

Hence the magnitude of the resultant velocity is 16.55m/s

* What is the effect of temperature
on density of liquid?
-)​

Answers

Answer:

evaporation?

sorry if im wrong

Explanation:

Temperature is inversely propotional to the density of liquid

Q4: Two fixed charges, 1 c and -3 C are
separated by 10cm as shown in figure 2.7 (a)
where may a third charge be located so that no
force acts on it? (b) is the equilibrium stable or
unstable for the third charge?

Answers

Answer:

B

Explanation:

Is the equilibrium stable or unstable for the third charge

A car slows from 95.0 km/hr to a stop in 4.0 s. What is the car's initial velocity in m/s?

Answers

The initial velocity of the car in m/s is 26.41 m/s

Data obtained from the question Initial velocity (u) = 95 Km/hFinal velocity (v) = 0 Km/h Time (t) = 4 sInitial velocity (m/s) =?

How to determine the initial velocity in m/s

We can convert 95.0 km/hr to m/s as illustrated below:

1 km/h = 0.278 m/s

Therefore,

95 km/h = 95 × 0.278

95 km/h = 26.41 m/s

Thus, the initial velocity in m/s is 26.41 m/s

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Two equal magnitude electric charges are separated by a distance d. The electric potential at the midpoint between these two charges is zero. A student considering this situation says: "The electric field at the midpoint between the two charges will be zero also, since the two charges are opposite in sign, so the fields will equal but opposite, and add to zero." There is something wrong with the student's statement. Identify any problem(s) and explain how to correct it/them.

Answers

Answer:

The charges under study are of the same sign

The calculation of the electric field for each charge separately, there is no relationship between the charges

Explanation:

Let's start by writing the equation for the electric field

          E = k q / r²

where q is the charge under analysis and r the distance from this charge to a positive test charge.

When analyzing the statement the student has some problems.

* The charges under study are of the same sign, it does not matter if positive or negative.

* The calculation of the electric field for each charge separately, there is no relationship between the charges for the calculation of the electric field.

* What is added is the interaction of the electric field with the positive test charge, in this case each field has the opposite direction to the other, so the vector sum gives zero

Other Questions
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