A +5.00 pC charge is located on a sheet of paper.
(a) Draw to scale the curves where the equipotential surfaces due to these charges intersect the paper. Show only the surfaces that have a potential (relative to infinity) of 1.00 V, 2.00 V, 3.00 V, 4.00 V, and 5.00 V.
(b) The surfaces are separated equally in potential. Are they also separated equally in distance?
(c) In words, describe the shape and orientation of the surfaces you just found.
Answers
Answer:
a) V = - x ( σ / 2ε₀)
c) parallel to the flat sheet of paper
Explanation:
a) For this exercise we use the relationship between the electric field and the electric potential
V = - ∫ E . dx (1)
for which we need the electric field of the sheet of paper, for this we use Gauss's law. Let us use as a Gaussian surface a cylinder with faces parallel to the sheet
Ф = ∫ E . dA = [tex]q_{int}[/tex] /ε₀
the electric field lines are perpendicular to the sheet, therefore they are parallel to the normal of the area, which reduces the scalar product to the algebraic product
E A = q_{int} /ε₀
area let's use the concept of density
σ = q_{int}/ A
q_{int} = σ A
E = σ /ε₀
as the leaf emits bonnet towards both sides, for only one side the field must be
E = σ / 2ε₀
we substitute in equation 1 and integrate
V = - σ x / 2ε₀
V = - x ( σ / 2ε₀)
if the area of the sheeta is 100 cm² = 10⁻² m²
V = - x (10⁻²/(2 8.85 10⁻¹²) = - x ( 5.6 10⁻¹⁰)
x = 1 cm V = -1 V
x = 2cm V = -2 V
This value is relative to the loaded sheet if we combine our reference system the values are inverted
V ’= V (inf) - V
x = 1 V = 5
x = 2 V = 4
x = 3 V = 3
These surfaces are perpendicular to the electric field lines, so they are parallel to the sheet.
In the attachment we can see a schematic representation of the equipotential surfaces
b) From the equation we can see that the equipotential surfaces are parallel to the sheet and equally spaced
c) parallel to the flat sheet of paper
Related Questions
What is the weight of a person whose mass at sea level is 72 kg ?
Answers
Answer:
158LB
Explanation:
The person's weight is equal to 705.6 N when the mass at sea level is 72 kg.
What is the weight of the object?The weight of a body can be defined as the force acting on the body due to gravity. Weight is a vector quantity if the gravitational force is working on the object.
The unit of the weight is that of force, which (S.I. unit) is Newton. A body with a mass of one Kg has a weight of 9.8 N on the surface of the Earth or on the seal level.
The mathematical equation to determine the weight of an object is written as follows:
W = mg
Given the mass of the person, m = 72 Kg
The acceleration due to gravity on the person, g = 9.8 m/s²
The weight of the person on the earth will be equal to:
W = 72 Kg × 9.8 m/s²
W = 705.6 N
Therefore, the weight of the person is 705.6 N.
Learn more about weight, here:
brainly.com/question/13040516
#SPJ2
This glass of lemonade is sitting in the hot summer sun. As time passes, in which direction will heat transfer take place?
Answers
The heat transfer takes place from the Ice to lemonade (ice → lemonade).
What is heat transfer?The term “heat transfer” refers to the movement of heat. The flow of heat across a system's boundary is due to a temperature differential between the system and its surroundings.
When a temperature difference exists between states of matter, heat transfer happens solely in the direction of decreasing temperature, that is, from a hot object to a cold item.
The temperature of ice is increasing while the lemonade is decreasing. Heat transfer happens solely in the direction of decreasing temperature,
Hence, the heat transfer takes place from the Ice to lemonade (ice → lemonade.
To learn more about the heat transfer, refer to the link;
https://brainly.com/question/13433948
#SPJ2
Answer: C
Explanation:
Cheetah mothers perform a number of different behaviors. They and their cubs stay in one place for only four days, moving on before they leave too strong a smell behind in one area. They also expend time and energy teaching their cubs to hunt successfully. In one or two sentences, explain how these behaviors affect cheetah reproductive success.(2 points)
Answers
Answer:
Cheetah cubs are in danger from predators like lions and hyenas which can track their prey by scent and so the mother and her cubs leave an area when their scent is too strong so that they are not hunted and the cubs survive.
Mother Cheetahs also train their cubs to hunt so that they may get food for themselves which will ensure their survival as well thus showing that both of these practices can impact on reproductive success.
a spring scale is constructed so that each 0.10-n increment is separated by 0.50 cm. what spring constant is necessary for the scale to be accurate?
Answers
Answer:
5.00
Explanation:
Amass oscillates in simple harmonic motion with amplitude A , if the mas is halved , but the amplitude is not changed , what will happen to the total mechanical energy of the system
A- It will increase
B-it will decrease
c-It will stay at the same
D-None of these
Answers
An object starts from rest and accelerates at a rate of 4 m/s2 for 3 seconds. What is it's displacement from the start position?
Answers
Answer:
36m
Explanation:
a = 4 m/s^2
u = 0 ( it's starting from rest )
t = 3
a=v-u/t ....... 4=(v-0)/3, v = 12m/s
Using s=d/t,
12=d/3,
d= 36m
If an object starts from rest and accelerates at a rate of 4 m/s2 for 3 seconds, then its displacement from the start position would be 44.1 meters.
What are the three equations of motion?There are three equations of motion given by Newton
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
As given in the problem If an object starts from rest and accelerates at a rate of 4 m/s² for 3 seconds,
S = ut + 1/2 × a × t²
S = 0 + 0.5 × 9.8 × 3²
S = 44.1 meters
Thus, If an object starts from rest and accelerates at a rate of 4 m/s2 for 3 seconds, then its displacement from the start position would be 44.1 meters.,
To learn more about equations of motion here, refer to the link given below ;
brainly.com/question/5955789
#SPJ2
I
An arrow fired horizontally at 41 m/s travels 23 m horizontally before it hits
the ground. From what height was it fired?
Answers
Answer:
Height = 1.54 m
Explanation:
Given:
Velocity = 41 m/s
Distance = 23 m
Find:
Height
Computation:
We know that
a = 9.8 m/s²
Time = Distance / Velocity
Time = 23 / 41
Time = 0.56 second
Height = (1/2)(9.8)(0.56)²
Height = 1.54 m
A torch is dropped down a large chasm. It takes 10 seconds to hit the ground. How deep is the chasm?
490m
49m
98m
980m
Answers
Answer: 490m
Explanation: 1/2 * 9.8m/s/s * 10s
which theory says dreaming is an unimportant by-product of neural firing during sleep
Answers
Answer:activation-synthesis
Explanation:
Please help me with this.
Answers
The equation for water is H2 +O2 - H2O. To balance the equation, which coefficient should be placed in front of H2 and H2O?
1
2
3
4
Answers
Answer:
Question: The equation for water is H2 +O2 → H2O. To balance the equation, which coefficient should be placed in front of H2 and H2O?
Answer: B.)2
Explanation:
The coefficient that would need to be placed in front of the H2, to balance the equation would be 2. After doing this all of the atoms for their respective elements will be balanced.
To balance the equation, coefficient 2 should be placed in front of H2 and H2O.
BALANCING EQUATION:
A chemical equation is said to be balanced if the number of atoms of each element on both sides of the equation are the same. According to this question, an equation that combines hydrogen and oxygen gases to form water was given as follows:H2 + O2 → H2OTo balance the above equation, we make use of coefficient 2 to ensure that the number of atoms (4) of hydrogen are the same on both sides. The balanced equation is as follows:2H2 + O2 → 2H2OLearn more at: https://brainly.com/question/21049751?referrer=searchResults
Layer with partially melted material that can flow easily is
Answers
Answer:
the mantle.
Explanation:
The mantle is the mostly-solid bulk of Earth's interior. The mantle lies between Earth's dense, super-heated core and its thin outer layer, the crust. It's practically hot lava (Magma) Flowing and causing earthquakes and what not.
Hope this helps :)
An airplane travels directly from Washington, D.C., to Atlanta, Georgia, a distance of 850 km at a velocity of 425 km/h southwest
How long does the trip take in hours?
1.0 h
2.0 h
0.5 h
4.0 h
Answers
Answer:
obviously 2 hours cuz 850/425
Explanation:
Which of the following is a scientific law?
A. No one is allowed to operate a motor vehicle unless that person is over the age of 16 and passes a driving exam.
B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.
C. No one is allowed to take the property of anyone else without their permission.
D. All cars must stop at red lights and move through an intersection when the light is green.
Answers
Answer:
B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.
Explanation:
The rest are societal laws, as they are telling you something you should avoid or follow.
Hope this helps :)
Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?
Answers
Given parameters:
Mass on earth = 50kg
Unknown:
Mass on planet Xenon = ?
Weight on planet Xenon = ?
Mass is the amount of matter contained in a particular substance.
Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.
Weight = mass x acceleration due to gravity
Planet Xenon has half the gravitational force of Earth.
This translated gives [tex]\frac{9.8}{2}[/tex] = 4.9m/s²
Now, mass is always the same every where if the amount of matter in a substance does not change.
In this problem, mass = 50kg on planet xenon.
Weight = mass x acceleration due to gravity = 50 x 4.9 = 245N
The weight on Xenon is 245N and the mass is 50kg
Three vectors, one of 74 km at 30°, the second of 54 km at 135°, and the final of 62 km due South. What is the sum of the three vectors?
- will give brainliest -
Answers
Answer:
The sum of the three vectors are 63.18 km.
Explanation:
Given that,
One vector = 74 km at 30°
Second vector = 54 km at 135°
Third vector = 62 km
We need to calculate the sum of the three vectors
Using given data
[tex]R=\vec{A}\sin\theta+\vec{B}\sin\theta+\vec{C}[/tex]
Put the value into the formula
[tex]R=-74\sin30+54\sin135+62[/tex]
[tex]R=63.18\ km[/tex]
Hence, The sum of the three vectors are 63.18 km.
A net force of 20 N acting on a wooden block produces an
acceleration of 4.0 m/s2 for the block. What is the mass of
the block?
Answers
Answer:
From the second law of motion:
F = ma
we are given that the force applied on the block is 20N and the block accelerates at an acceleration of 4 m/s/s
So, F= 20N and a = 4 m/s/s
Replacing the variables in the equation:
20 = 4* m
m = 20 / 4
m = 5 kg
list of energy changes when hydroelectricity city is made
Answers
Answer:
A turbine and generator produce the electricity
Explanation:
"A hydraulic turbine converts the energy of flowing water into mechanical energy. A hydroelectric generator converts this mechanical energy into electricity.
wheel and axle is also called a continuous lever
Answers
Explanation:
When load is connected to axle and effort is on the wheel it acts as first class lever with in fulcrum in the middle ..So wheel and axle is continuous lever
D.
(S. 15
10. The average velocity of a car is 54km/h. What is
the distance covered if the time taken is 10s
A. 200m B. 150m C. 100m D. 50m E.
Answers
Answer:
Option B 150 Metre
Hope this helps youAnswer:
B. 150 m
Explanation:
In order to answer the question, it is important to know the formula for "velocity."
velocity = [tex]\frac{distance}{time}[/tex]
What is being asked? The distance covered if the time taken is 10 sec.
So this means: velocity x time = distance
Step 1: Convert 10 sec. to hour.
10 sec. x [tex]\frac{1 hour}{3,600 sec.}[/tex] = 0.00278 hr.
Step 2: Plug in the values to the formula.
distance = 54 [tex]\frac{km}{hr}[/tex] x 0.00278 hr.
distance = 0.150 km
Step 3: The choices are in meters (m), so let's convert 0.150 km to meter.
0.150 km x [tex]\frac{1,000 m}{1 km}[/tex] = 150 meters
The answer is: 150 m
6. What velocity vector will move you 200 miles east in 4 hours travelingat a constant speed?
Answers
Answer:
50 mph east
Explanation:
7. An auto's velocity increases uniformly from 3m/s to 25m/s while
covering 90m. Calculate the acceleration. *
Answers
Answer:
3.422 m/s^2
Explanation:
A useful relation is ...
v2^2 -v1^2 = 2ad
(25 m/s)^2 -(3 m/s)^2 = 2a(90 m)
(616 m^2/s^2)/(180 m) = a ≈ 3.422 m/s^2
The acceleration is about 3.422 m/s^2.
What is the difference between a rule and a law?
Answers
I hope this helped :)
Experiments need to be repeated by the scientist and also replicated by other scientists.
true
false
Answers
Answer:
false
Explanation: because the other scientists could've missed something in there experiment
PLEASE HELP!! Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 3.41 m away from a
waterfall 0.397 m in height, at what minimum
speed must a salmon jumping at an angle of
28.4° leave the water to continue upstream?
The acceleration due to gravity is 9.81 m/s2
Answer in units of m/s.
Answers
Answer:
7.13781 m/s
Explanation:
X-direction | Y-direction
[tex]x=v_{xo}t+\frac{1}{2}a_{x}t^2[/tex] | [tex]y=v_{yo}t+\frac{1}{2}a_{y}t^2[/tex]
[tex]3.41=v_{o}cos(28.4)t[/tex] | [tex]0.397=v_{yo}sin(28.4)t+\frac{1}{2} (-9.81)t^2[/tex]
[tex]3.41=v_{o}(0.87964)t[/tex] | [tex]0.397=v_{yo}sin(28.4)(\frac{3.87658}{v_{o} })+\frac{1}{2} (-9.81)(\frac{3.87658}{v_{o} })^2[/tex]
[tex]\frac{3.41}{0.87964}=v_{o}t[/tex] | [tex]0.397=1.84379-\frac{73.71171}{v^2}[/tex]
[tex]\frac{3.87658}{v_{o} } =t[/tex] | [tex]7.13781=v[/tex]
How much work does an athlete do if she
raises a 5N kettle bell 2 m off the ground?
Answers
Answer:
The answer is 10 NExplanation:
To find the work done by an object given the distance covered by the object and it's force we use the formula
work done = force × distanceFrom the question
force = 5 N
distance = 2 m
We have
work done = 5 × 2
We have the final answer as
10 NHope this helps you
What magnification is best for the observation of most tissue slides? Explain why this has proved to be true?
Answers
Answer:
The 10X objective is use for the identification of actual size of histology tissues and 4X magnification is best for observation of most tissues slides
Explanation:
4X magnification is best for observation of most tissues slides because it has an objective lens that have lower power and have great high field overview which make it very easier to locate specimens on the slide. It is use to get the overview of histology slides. It is use to showcase more detailed observations about histology.
The 40X objective is use majorly to identify tissue , to observe the finer details and study tissue organization on the histology slide.
give at least two similarities and differences among the terrestrial planets Mars Venus and Earth
Answers
Answer:
Answer is as follow:
Explanation:
With a distance of just 6,792 km, Mars is even smaller. And again, Venus would be almost Earth's double in terms of scale. It has 81 percent of the earth 's volume, while Mars has just 10 percent of the earth 's mass. Mars and Venus have very different ecosystems, and they are both very separate from Earth.
Determine the beginning and end of the solar maximum or minimum.
Please help will give brainliest
Answers
Answer:
5 billion years ago...ends 4.9 billion years later
Answer:
That's correct... you can mark them brainliest now. You have to have both slots answered before you can mark them. So, you're welcome :)
Explanation:
a car with a mass of 100 kg is stopped on the side of the road after getting a flat tire. the two people that were riding in the car get out and begin to push the car from rest to a nearby gas station. The car travels 50 meters in 40 seconds. Determine the speed of the car in these 40 seconds.
Answers
Answer:
Please mark me brainliest and thank me and rate me
