Answer:
Third charge should be placed at a distance d/3
Sign is negative
Magnitude is |q| = 4Q/3
Explanation:
To find a place where a third charge, q, is placed so that all three charges will be in equilibrium would be at;
E1 = E2
Now, let the distance between the charges +Q and +4Q be d. Also, let the distance from charge +Q to the third charge q be x.
Thus;
E1 = kQ/x²
E2 = k(4Q)/(d - x)²
Since equilibrium, then;
E1 = E2 gives;
kQ/x² = k(4Q)/(d - x)²
k and Q will cancel out to give;
1/x² = 4/(d - x)²
Cross multiply to get;
(d - x)² = 4x²
Taking square root of both sides gives;
√(d - x)² = √4x²
Gives;
d - x = 2x
d = x + 2x
d = 3x
x = d/3
This is the point at which E1 = E2.
Since at equilibrium, it means that Fq + F2 = 0
Now, electric force formula is;
F = kq1*q2/r²
So; Fq = kqQ/x²
F2 = kQ(4Q)/d²
Equating Fq + F2 = 0 gives;
kqQ/x² + kQ(4Q)/d² = 0
kqQ/x² = -kQ(4Q)/d²
Like terms cancel out to get;
q/x² = -4Q/d²
q = - 4Qx²/d²
earlier we saw that x = d/3.
So, q = -4Q × (d/3)²/d²
q = -4Q × ⅓
q = - 4Q/3
Thus,it's sign is negative.
It's magnitude will be the positive value.
Thus, magnitude is;
|q| = 4Q/3
1). The sign that will be of all the given three charges being in equilibrium would be:
A). Negative
2). The magnitude to allow all the given three charges to remain in equilibrium would be:
- Magnitude [tex]|q| = 4Q/3[/tex]
Given that,
First Charge [tex]= +Q[/tex]
Second Charge[tex]= +4Q[/tex]
Third Charge [tex]= q[/tex]
The location where they will be in equilibrium would be:
[tex]E1 = E2[/tex]
So,
We will assume the distance between the first two charges i.e. +Q and +4Q as d and assume the distance from charge +Q to the third charge q as x.
Now,
[tex]E1 = kQ/x^2[/tex]
[tex]E2 = k(4Q)/(d - x)^2[/tex]
Therefore,
The equilibrium will be at:
[tex]kQ/x^2 = k(4Q)/(d - x)^2[/tex]
by solving we get,
[tex]x = d/3[/tex]
Because at equilibrium [tex]Fq + F2 = 0[/tex],
So,
F [tex]= kq1*q2/r^2[/tex]
and [tex]Fq = kqQ/x^2[/tex]
[tex]F2 = kQ(4Q)/d^2[/tex]
by resolving the equation, we get;
[tex]Fq + F2 = 0[/tex]
[tex]kqQ/x^2 + kQ(4Q)/d^2 = 0[/tex]
By solving it, we get
[tex]Magnitude(q) = - 4Q/3[/tex]
Thus, the sign is negative.
and Magnitude |q| = 4Q/3
Thus, options A and [tex]|q| = 4Q/3[/tex] would be the correct answer.
Learn more about "Charge" here:
brainly.com/question/3412043
The net external force on the propeller of a 3.32 kg model airplane is 23 N forward. What is the acceleration of the airplane?
Answer:
6.93 m/s^2
Explanation:
Given that the The net external force on the propeller of a 3.32 kg model airplane is 23 N forward
Where
Mass M = 3.32kg
Force F = 23 N
Force = mass × acceleration
Substitute all the parameters into the formula
23 = 3.32 × a
a = 23/3.32
a = 6.93 m/s^2
Therefore, the acceleration of the airplane is 6.93 m/s^2
What do all electromagnetic waves have in common?
They can travel at the speed of light.
O They have the same wavelengths.
O They travel only through matter.
O They have nonmoving magnetic fields.
Answer: A they can travel at the speed of light
Explanation: A on EDGE
Answer:
a
Explanation:
got 100
Raymond and Julie ar driving to Santa Barbara.
They drive at an average speed of Bomon for
2.5 hours before he stopping for lunch. H
takes them 30 minutes to eat. After lunch
they continue driving or an average speed
of so mon for 3.0 nono . What is their
average speed, in miles
for the
3.5
entive
HID
per hour
What is the average speed of a car that traveled 222.0 miles in 4.596 hours?
Answer:
48.3mph
Explanation:
Given that
Distance = 222.0miles
Time = 4.596hours
Average speed = total distance/total time
= 222.0miles/4.596
= 48.3mph
Hence the average speed is 48.3mph
A mass is measured as 6.2 kg in one experiment and as 6.20 kg in another. in what way do these measurements differ
Answer:
They are both same
Explanation:
6.20=6.2kg
A car accelerates from a rest at -3 m/s2. What is the displacement after 4.7 sec?
Which structure is represented by letter B?
Choose 1 answer:
(Choice A) A Cytosol
(Choice B) B Cell membrane
(Choice C) C Ribosome
(Choice D) D Cell wall
Answer: A Cytosol
Explanation: Jelly - like fluid that fills the space between cell organelles. Hoped This Helped :) Have a blessed day.
The cytoskeleton, which gives a cell its structure, allows organelles to move inside the cell, and provides a method by which the cell itself can move, is an ordered framework of fibrous molecules found in the cytoplasm. Thus, option A is correct.
What is the main function of cytosol in the cell?The fluid that fills cells is called cytosol. In this water-based solution, organelles, proteins, and other cell components float. Any cell's cytosol is a sophisticated solution whose characteristics allow for the performance of life's essential processes.
The cytoplasm houses all the organelles found in eukaryotic cells, including the nucleus, endoplasmic reticulum, and mitochondria.The portion of the cytoplasm that is not contained in an organelle is known as the cytosol.
Therefore, Although the cytoplasm may not seem to have any shape or organization, it is actually quite well-organized.
Learn more about cytosol here:
https://brainly.com/question/2398768
#SPJ2
how many grams is 1dg?
Answer:
Oh, I didn't know if u meant decigram or decagram! So for decagram there would be 10 grams and deci gram is 0.1 grams. Hope this helps!!
Explanation:
Answer:
Hey there!
There are 10 grams in one decagram.
Let me know if this helps :)
How do you think the mass of an object affects how much friction get exerted on the object by a rough surface?
Explanation:
Friction can't affect mass of a substance(considering for a substance whose mass doesn't change with time),rather it is the mass of an object which can affect friction variously. Let's take some example to understand the situation. So,higher the mass of the object,higher will be the frictional force.
Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. Heavier objects also have more friction because they press together with greater force. Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy.
Tell me about your experiences with science
Answer:
Well i once did an expiremnet and it exploaded in my face lol
Explanation:
Answer:
so good
Explanation:
perfect nice and explody too muchDriving at 75 m/s, you hit the brakes on your new car, accelerating at
a rate of -20 m/s2. How much time will it take the car to come to
rest?
Explanation:
initial velocity, u = 75m/s
acceleration, a = -20m/s2
final velocity, v = 0m/s (rest)
Using the formula,
v = u + at
0 = 75 + (-20)t
t = 3.75 seconds
I will give brainliest if right
Which cell structure is thought to have arisen through an endosymbiosis in plant but not animal cells?
Choose 1 answer:
(Choice A) A Cell wall
(Choice B) B Mitochondria
(Choice C) C Chloroplast
(Choice D) D Ribosome
Answer:
chloroplast
Explanation:
Endosymbiosis theory explains the origin of chloroplast and mitochondria in the eukaryotic organisms.
When the pro-eukaryotes engulfed the blue-green algae or photosynthetic bacteria, these bacteria formed the symbiotic relationship with the pro-eukaryotes. These photosynthetic bacteria transformed into the chloroplast organelles of the eukaryotes which can capture the sunlight and use it in the synthesis of glucose molecules. These eukaryotic cells later formed the plant kingdom.
Name three common areas where unethical situations can occur in research.
Answer:
Unethical behavior or ethical code are very important ion research or different areas. Ethical code protects people from misbehavior, disclose their privacy etc.
Explanation:
Many of people walk to the working place where most of people witnessed the unethical behavior with them. There are many area that are responsible for misconduct such as :
Misusing company timeAbusive behavior by researcher in field work.Leak privacy by a doctor of patient. In organization lying to the employee related to contract.To violet the company policies. In clinical setting misbehave with patient that unethical Unethical behavior could occur in business, among individual, by professional and among the political parties and social workers.When exercising, which hormone level decreases in females often causing a better mood?
Estrogen
Adrenaline
Blood Sugar
Cortisol
Answer:
The correct option is;
Adrenalin
Explanation:
The presence of Adrenalin can cause headaches, memory loss, confusion, make a person unable to concentrate, and therefore, generally affects the mode in female, as such it is important for a decrease the level of Adrenalin by exercising, which causes the Adrenalin and cortisol to reduce in a similar way to consuming gasoline by burning gasoline, cardiovascular exercises burns Adrenaline.
Doing exercises causes adrenaline and cortisol, which are the body's stress hormones to be reduced.
Answer:
It's adrenaline
Explanation:
I just took a quiz and got it right
What are 3 macro nutrients
Answer:
proteins carbohydrates and fats
Explanation:
Answer:
Carbohydrates, Proteins, and Fats.
2. Find the velocity when the displacement is 40 m and the time is 5 s.
Answer:
V=?
S= 40m
t=5s
V=S/t
V=40/5
V=8m/s
10.What is the Kinetic Energy of a 150 kg object that is moving with a speed
of 15 m/s? (7b)
What’s the difference between atoms and molecules in a substance?
Answer:
Atoms are single neutral particles.
example: Ne, O
Molecules are neutral particles made of two or more atoms bonded together.
example:O2,HCl
Answer:
Atoms are single particles while molecules are particles made of two or more atoms bonded together.
Explanation:
what is the difference between an ideal machine and a practical machine
Answer:
Ideal machines are said to have parts which are weightless , frictionless and strings if any are inextensible. Practical machines have parts which have weights, friction and it causes some loss of work done.
Explanation:
Answer: Ideal machines are said to have parts which are weightless , frictionless and strings if any are inextensible. Practical machines have parts which have weights, friction and it causes some loss of work done.
Explanation:
If Johnny won a 300 meter race in 40 seconds, his speed would be ?
Formula: s = d/t
s = speed
d = distance
t = time
Solve using the values we are given.
s = 300/40
s = 7.5m/s
Best of Luck!
Answer:
7.5 m/s
Explanation:
What is the closed physical system?
A. Non of the answers are true
B. A system where matter and energy can leave but not enter the system
C.a system where matter and energy can leave but not enter the system
D. A system where matter and energy can not enter or leave the system
The Flash can travel 400 m in just 5.2 minutes. What is his average velocity in m/s?
Answer:
76.9231
Explanation:
Divide 400m by 5.2 to get the answer.
Speed = (distance) / (time to cover the distance)
Speed = (400 m) / (5.2 minutes)
Speed = (400 m) / (312 seconds)
Speed = 1.28 m/s
There's not enough given information to find his velocity.
(I'll be honest with ya, Flash: 1.28 m/s is no big deal. It's only about 2.87 miles per hour. My dog can walk faster than that, and so can most healthy people. If that's the best you can do, then you probably shouldn't be running around chasing bad guys.)
1 point
In a biology experiment the number of yeast cells is determined after 24
hours of growth at different temperatures. What is the INDEPENDENT
variable? *
type of yeast
24 hour time period
different temperatures
number of yeast cells
Answer:
different temperatures
Explanation:
The independent variable would be different temperatures.
The independent variable is the variable that is manipulated or varied in an experiment in order to see the effects it will produce on another variable - the dependent variable. The values of the independent variable are directly inputted by the researcher and are not changed by any other variable throughout the experiment.
In the illustration, the effect of a variation in temperature is determined by counting the number of yeast cells. This showed that the manipulated variable is the temperature and hence, the independent variable.
A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r ! Ar2 . For A ! 2.5 mC/m5 , what is the magnitude of the electric field at (a) r ! 3.0 cm and (b) r ! 5.0 cm?
Answer:
a) 1.91 c/m
b) 3.62 c/m
Explanation:
See attached image
A motorcycle travels at 6.0 m/s. After 3.0 seconds, the motorcycle travels at 15.0 m/s.
Which of the following was the average acceleration of the motorcycle?
The average acceleration of the motorcycle is determined as 3 m/s².
Acceleration of the motorcycle
The acceleration of the motorcycle is calculated as follows;
a = (v - u)/t
where;
v is the final velocityu is the initial velocityt is time of motiona = (15 - 6)/3
a = 3 m/s²
Thus, the average acceleration of the motorcycle is determined as 3 m/s².
Learn more about acceleration here: https://brainly.com/question/14344386
#SPJ2
Which form of emission is commonly not written in nuclear equations because they do not affect charges, atomic numbers, or mass numbers?
Answer:
Gamma radiation .
Explanation:
Three types of emission result at the time of nuclear emission .
alpha emission
Beta emission
Gamma radiation emission
Gamma radiation results in the emission of gamma ray . This is a very high frequency radiation . It is not a particle having charge and mass like alpha and beta emission . So it has no effect on the mass and charge of the product that is formed after gamma radiation . The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product . It causes negligible change in the mass of the product and no change in the charge of the product.
That is why , generally this product is not written in the nuclear reaction .
Answer:
The answer is Gamma ray
Explanation:
Because this is a very high frequency radiation, is not a particle having charge and mass like alpha and beta emission, so it has no effect on the mass and charge of the product that is formed after gamma radiation. The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product, it causes negligible change in the mass of the product and no change in the charge of the product.
Fish oil in your diet will improve your memory. Independent variable? Dependent variable
An ant crawled from a hole to the food. For the first 6
minutes, it travelled at an average speed of 15 m/min. For
the next 9 minutes, it travelled at an average speed of 10
m/min. What was the average speed of the whole journey?
m/min
Answer:12
Explanation:Average speed=Total Distance divided by Total Time.
Choose the nonmetallic elements from the list. Check all that apply. yttrium oxygen boron polonium argon gallium carbon
Answer:
oxygen
argon
carbon
Explanation:
Answer:
B E G Oxygen Argon Carbon
Explanation:
what are different type of plastids explain them?
Answer:
types of plastids
chloroplasts
chromoplasts
gerontoplasts
leucoplasts
Explanation:
ans