Answer:
the value of the charge is q₃ = [tex]- \frac{4}{9} q[/tex]- 4/9 q, in the position x= l/3
Explanation:
The forces in this system are given by Coulomb's law
F = [tex]k \frac{q_1 q_2}{ r^2}[/tex]
As the forces are vector, we must add them as a vector, also let us take that charges of the same sign repel and charges of the opposite sign attract, therefore for the system to be in equilibrium the third charge must be of the opposite sign, that is, NEGATIVE .
Let's analyze the situation for card charge, let's use the indexes 1 for the charge q₁ = + q located at the origin (x₁ = 0), index 2 for the face q₂ = + 4q located at x₂ = l and the index 3 for the third charge
Let's find the location of charge 3 so that it is in balance
∑ F = F₁₃ - F₂₃ = 0
F₁₃ = F₂₃
we seek every force
F₁₃ = k [tex]\frac{q_1q_3 }{x_{13}^2}[/tex]
F₂₃ = k [tex]\frac{q_2q_3}{ x_{23}^2}[/tex]
the distances are
x₁₃ = x-0 = x
x₂₃ = l -x
we substitute
k \frac{q_1q_3 }{x^2} = k \frac{q_2q_3 }{(l-x)^2}
we solve
(l-x)² = [tex]\frac{q_2}{q_1}[/tex] x²
l² - 2lx + x² = \frac{4q}{q} x²
3x² + 2l x - l² = 0
we solve the quadratic equation
x = [-2l ± [tex]\sqrt{4l^2 + 4\ 3\ l^2}[/tex] / (2 3)
x = [-2l + 2l [tex]\sqrt{1+3}[/tex]] / 6 = 2l [-1 ± 2] / 6
x₁ = -l
x₂ = l / 3
as charge 3 must be between the two charges the correct answer is
x = l / 3
with charge 3 in this location it remains in equilibrium regardless of the value of its NEGATIVE charge.
now let's analyze the force on the other charges
charge 1 so that it is in balance
∑F = F₁₃ - F₁₂ = 0
F₁₃ = F₁₂
[tex]k \frac{q_1q_3}{(l/3)^2} = k \frac{q_1 q_2}{ l^2}[/tex]
l² q₃ = q₂ (l/3)²
q₃ = q₂ / 9
q₃ = 4q / 9
q₃ = [tex]\frac{4}{9} q[/tex]
in summary the value of the charge is q₃ = [tex]- \frac{4}{9} q[/tex]- 4/9 q
in the position x= l/3
What equation/formula would you use to find the distance an object traveled?
a.distance = s x t
b.distance = s/t
c.distance = t/s
Answer:
a. distance = s x t
Explanation:
The equation we know for speed is speed = distance/time, shortened to s = d/t
If you want to find the distance, you'd rearrange the formula to make d the subject. To isolate d, multiply by t on both sides (since it's being divided on the right. This leads to
s x t = d, with d isolated on the right side.
Therefore, to find the distance an object travelled you'd use a. distance = s x t
A man fled 360 J of work as he pushes a crate 12.31 meters. How much force does he use? Round your answer to 2 decimal places.
Answer:
force*distance=work
Explanation:
force=work/distance
In the formula W=Fxd; W stands for
In the formula W=J/s; W stands for
*science*
Answer: Work and Power
Explanation:
The formula "Fxd = W" is the formula for work. It is the cross product of how much force given some distance.
The next part, Im not sure why they used a W. It is very confusing the way they wrote it. That 'W' would be the power. Power has units of joules per second.
How many seconds would it take to drive to Miami if I go 75 mph the whole way? (use 675 miles for the distance)
Answer:
32,400 seconds
Explanation:
675 (distance) / 75 mph = 9 hours of driving.
9 hours x 60 minutes = 540 minutes.
540 minutes x 60 seconds = 32,400 seconds
describe three small changes that you can make to your current eating habits to support a healthier lifestyle.
Answer: Eat only when you're truly hungry instead of when you are tired, anxious, or feeling an emotion besides hunger.
Plan meals ahead of time to ensure that you eat a healthy well-balanced meal.
Keep more fruits, low-fat dairy products (low-fat milk and low-fat yogurt), vegetables, and whole-grain foods at home and at work.
Explanation:
Answer:
I know that some foods have a lot of sugar. I read online that I don’t need any more than 25 grams of added sugar a day. One kind of pop that I like to drink has 40 grams of sugar per can. I can start by drinking less pop. Next, I learned that some food makers are now putting nutrition keys on the front of their boxes. I love all kinds of breakfast cereal, so I can use the nutrition key to compare brands. Cereal high in fiber is good, but cereal high in sugar isn’t. I’ll be more careful, too, when ordering fast food. Sometimes fast-food places want to change the size of my order from medium to large for a higher price. From now on, I won’t pick the bigger meal. Picking the medium-sized meal should be better for me and can even save me money.
Explanation: Plato
What type of wave is this ?
PLS ANSWER FAST WILL GIVE BRAINLEST!!!
If a 25kg car accelerates at a speed 100m/ s2 s2, what will the force of the car be?
Plug in the numbers: Force=mass x acceleration
Answer:
2500 Newtons
Explanation:
If force equals the mass × acceleration then all should be quite simple
25kg is the mass of your car
100 m/s/s is the acceleration of you car
25kg • 100m/s/s = 2500 Newtons
Answer:
[tex]\boxed {\boxed {\sf 2500 \ Newtons }}[/tex]
Explanation:
The formula for force is the product of mass and acceleration.
[tex]F=m*a[/tex]
The mass of the car is 25 kilograms and the acceleration is 100 meters per square second. So,
[tex]m= 25 \ kg \\a= 100 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F= 25 \ kg * 100 \ m/s^2[/tex]
Multiply.
[tex]F= 2500 \ kg*m/s^2[/tex]
1 kilogram meter per square second is equal to 1 NewtonOur answer of 2500 kg*m/s² is equal to 2500 Newtons[tex]F= 2500 \ N[/tex]
The force of the car is 2500 Newtons.
can someone help me please
Answer:
time
Explanation:
Answer:
hour measure time so their for it is time
What are the five possible difficulties associated with ADD/ADHD?
Answer:
my cousin got that and i would say that some challenges with adhd/add is behavioral issues, meaning they dont pay attention and some people with adhd can get depressed or have anxiety also Low self-esteem.
Poor grades.
also adhd is a disability
simple machines are in a mousetrap
Answer:
A mousetrap makes use of a simple machine called a lever.
Explanation:
In a second-class lever the effort force is at the other end, with the load in the middle. In a third-class lever, the load is at the end and the effort force is between the fulcrum and the load. When you set the mousetrap, you are using a second-class lever. Sorry if I get this wrong. I am in 5th grade! ♥
Which type of wave interaction is shown in the diagram?
wave A
MAAAAA
wave B
MAAAA
wave A + B
PAMA
A. Destructive interference
B. Diffraction subtraction
C. Diffraction gradient
D. Constructive interference
Answer: Constructive interference
Explanation: Just took the test
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I WILL GIVE BRAINLIST
The specific heat capacity of the liquid:
The latent heat of fusion
The specific heat capacity of the solid
The specific heat capacity of the vapor
The latent heat of vaporization
Answer:
For liquid at room temperature and pressure, the value of specific heat capacity (Cp) is approximately 4.2 J/g°C.
Explanation: This implies that it takes 4.2 joules of energy to raise 1 gram of water by 1 degree Celsius. This value for Cp is actually quite large. This (1 cal/g.
decribe an experiment to show that pressure increase with decrease in the area of surface
Answer:
for example the studs are made in football player boot because to increase pressure with descrease in area of surface
select one popular music either OPM or from other countries that you like most. a.why you like this music/song? b.What is the message/s of this song that affect you most? c.if you will be the writer of this song, will you change the title or not? why?
Answer:
my favourite song is hym to the sea. That song reminds me of the innocent people who lost their lives in titanic a century ago. If I was the writer of that song ,i would not change the title of that song because I can feel the sound of ocean when I listen to that song.
what do you call ends of a magnet
Answer:
The end that faces the north is called the north-seeking pole, or north pole, of the magnet. The other end is called the south pole. When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another.
Explanation:
I hope this helps and pls mark me brainliest :)
PLS ANSWER FAST WILL GIVE BRAINLEST!!!!
F= m x a
A tractor carrying hay bales has a total mass of 9 100 kg. What force is required to reach an acceleration of 4 m/ s2
Answer:
36400N
Explanation:
f =9100×4
f=36400N
John slides down a hill at a 4 m height initially at rest. If all energy is conserved and friction is excluded, what is John's velocity at the bottom of the ramp?
The velocity at the bottom : v = 8.85 m/s
Further explanationGiven
height of the hill = 4 m
Required
The velocity at the bottom
Solution
The law of conservation energy :
ME₁=ME₂
(PE+KE)₁ = (PE+KE)₂
initially at rest⇒vo=0⇒KE₁=0
At the bottom⇒h=0⇒PE₂=0
So the equation becomes :
PE₁=KE₂
mgh=1/2.mv²
gh = 1/2v²
[tex]\tt v=\sqrt{2gh}[/tex]
v = √2x9.8x4
v = 8.85 m/s
A pole 10 m long lies on the ground next to a barn that is 8 m long. AN athlete picks up the pole, carries it far away and then runs with it towards the barn at speed 0.8c. The athlete's friend remains at rest, standing by the open door of the barn.
Answer:
okay
Explanation:
but what is the question here?
Energy does / does not change the phase of matter.
Answer:
does
Explanation:
URGENT PLZ HELPPP!
FM radio bands range from 88 MHZ through 108 MHz. The speed of light is 3 × 108 m/s.
What is the wavelength for the FM radio band at 96 MHz?
Answer in units of m.
(part 2 of 2)
What is the wavelength for the FM radio band
at 106 MHz? Answer in units of m
λ = 3.125 m
λ = 2.83 m
Further explanationGiven
Frequency of radio : 96 MHz and 106 MHz
Required
The wavelength
Solution
Wavelength : from the crest to the crest of the next wave or the trough to the trough
Frequency (f): number of waves in one second
v = λ x f
λ = v : f
Input the value :
f = 96 MHz = 96 x 10⁶ Hz
λ = v : f
λ = 3 x 10⁸ : 96 x 10⁶
λ = 3.125 m
f = 106 MHz = 106 x 10⁶ Hz
λ = v : f
λ = 3 x 10⁸ : 106 x 10⁶
λ = 2.83 m
PLS ANSWER FAST THIS IS TIMED TEST AND WILL GIVE BRAINLY!!!
Answer using mass m= F divided by a
Also use kilograms [kg]
A cannonball accelerates at 1000 m/s2 from an applied force of 5000 N . What is the mass of the cannonball?
Answer:
mass is 5 kg
Explanation:
F=m/a
M=f/a
F=5000
a=1000
5000/1000=5
According to Newton's second law, acceleration of an object depends on the mass of the object and:
a. The net weight of the object
b. The inertia of the object
c. the net force acting on the object
Answer:
C. The net force acting on the object
Explanation:
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.
Please answer. True or false and how do you know?
Answer:False
Explanation:
When a 5 kg rock is dropped from a height of 6 m on Planet X, it loses 24 J of GPE. What is the acceleration due to gravity on Planet X?
Answer:
g = 1.25m/s²
Explanation:
Given the following data;
Mass = 5kg
Height = 6m
Gravitational potential energy = 24J
To find the acceleration due to gravity;
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
[tex] P.E = mgh[/tex]
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
GPE = mgh
Substituting into the equation, we have;
24 = 5*6*g
24 = 30g
g = 30/24
g = 1.25m/s²
Therefore, the acceleration due to gravity on Planet X is 1.25m/s².
Answer:
g=0.8m/s^2
Explanation:
M=5kg
h=6m
GPE=24J
GPE=Mgh
g=GPE/Mh
g=24J/(5kg)(6m)=0.8
g=0.8m/s^2
Eating soda is used while cooking rice in the hotels ? why?
Answer:
because it helps to neutralize acid in our body.
What is the smallest part of an element?
A. A neutron
B. An atom
C. An electron
D. A proton
HELPPPO
A boy kicks a football with a force of 420.0 N for a time of 22.3 s. What is the impulse and change in momentum?
Answer:
the impulse and change in momentum of the football is 18.83 N/s.
Explanation:
Given;
applied force, F = 420 N
time of force action, t = 22.3 s
The impulse and change in momentum of the football is calculated as;
J = ΔP = [tex]\frac{F}{t}[/tex]
where;
J is the impulse
ΔP is the change in momentum
J = ΔP = [tex]\frac{F}{t}= \frac{420}{22.3} = 18.83 \ N/s[/tex]
Therefore, the impulse and change in momentum of the football is 18.83 N/s.
A refrigerator having a power rating of 350W operates for 12 hours a day. calculate the cost of electrical energy to operate it for 30 days. the rate of electrical energy is rs4.50 per kWh. calculate the minimum fuse rating to be put in the refrigerator circuit if the supply voltage is 240V.
Answer:
See the answers below.
Explanation:
The cost of energy can be calculated by multiplying each given value, a dimensional analysis must be taken into account in order to calculate the total value of the cost in Rs.
[tex]Cost=0.350[kW]*12[\frac{hr}{1day}]*30[days]*4.5[\frac{Rs}{kW*hr} ]=567[Rs][/tex]
The fuse can be calculated by knowing the amperage.
[tex]P=V*I[/tex]
where:
P = power = 350 [W]
V = voltage = 240 [V]
I = amperage [amp]
Now clearing I from the equation above:
[tex]I=P/V\\I=350/240\\I=1.458[amp][/tex]
The fuse should be larger than the current of the circuit, i.e. about 2 [amp]
What is the reaction time
Answer:
"Mental chronometry"Explanation:
Reaction time is a measure of how quickly an organism can respond to a particular stimulus. ... Many factors have been shown to affect reaction times, including age, gender, physical fitness, fatigue, distraction, alcohol, personality type, and whether the stimulus is auditory or visual."Hope this is fine for you"How can the President check Congress' power to make law?
Group of answer choices. MUST PROVIDE EVEDENCE OR I WILL REPORT AND POINTS WOULD BE TAKEN AWAY
A. Congress can override the veto to get the law on health care passed.
B. The President can call a special session to extend Congress to get his law passed.
C. The President can approve or veto laws created by Congress.
D. The Congress can vote to 'ignore' the President's wishes.
Answer:
The President may veto bills Congress passes, but Congress may also override a veto by a two-thirds vote in both the Senate and the House of Representatives. Article I of the Constitution enumerates the powers of Congress and the specific areas in which it may legislate.
so its eaither A or C hope that helped sorry if a m wrong
Explanation: