The correct answer D: all of the above
Three charges lie along the x-axis. One positive charge, q1 = 4.80*10^-18 C, is at x = 3.72 m, and another positive charge, q2 = 1.60*10^-19 C, is at the origin.
At what point on the x-axis must a negative charge, q3, be placed so that the resultant force on it is zero?
Answer:
The third charge needs to be placed at [tex]x \approx 0.57\; \rm m[/tex].
Explanation:
Both [tex]q_1[/tex] and [tex]q_2[/tex] would attract [tex]q_3[/tex].
These two electrostatic attractions need to balance one another. Hence, they need to be opposite to one another. Therefore, [tex]q_1[/tex] and [tex]q_2[/tex] need to be on opposite sides of [tex]q_3[/tex]. That is possible only if [tex]q_3 \![/tex] is on the line segment between [tex]q_1 \![/tex] and [tex]q_2 \![/tex].
Assume that [tex]q_3[/tex] is at [tex]x\; \rm m[/tex], where [tex]0 < x < 3.72[/tex] (in other words, [tex]q_3 \![/tex] is on the line segment between [tex]q_1[/tex] and [tex]q_2[/tex], and is [tex]x\; \rm m \![/tex] away from [tex]q_2 \![/tex].)
Let [tex]k[/tex] denote Coulomb's constant.
The magnitude of the electrostatic attraction between [tex]q_1[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}}[/tex].
Similarly, the magnitude of the electrostatic attraction between [tex]q_2[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
The magnitudes of these two electrostatic attractions need to be equal to one another for the resultant electrostatic force on [tex]q_3[/tex] to be [tex]0[/tex]. Equate these two expressions and solve for [tex]x[/tex]:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}} = \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
[tex]\displaystyle \frac{q_1}{(3.72 - x)^{2}} = \frac{q_2}{x^{2}}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1} = \frac{1}{30}[/tex].
By the assumption that [tex](0 < x < 3.72)[/tex], it should be true that [tex](x > 0)[/tex] and [tex](3.72 - x > 0)[/tex]. Therefore, [tex]\displaystyle \frac{x}{(3.72 - x)} > 0[/tex].
Take the square root of both sides of the equation [tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{1}{30}[/tex].
[tex]\displaystyle \sqrt{\frac{x^2}{(3.72 - x)^{2}}} = \sqrt{\frac{1}{30}}[/tex].
[tex]\displaystyle \frac{x}{3.72 - x} = \frac{1}{\sqrt{30}}[/tex].
[tex]\sqrt{30}\, x = 3.72 - x[/tex].
Therefore:
[tex]\left(1 + \sqrt{30}\right)\, x = 3.72[/tex].
[tex]\displaystyle x = \frac{3.72}{1 + \sqrt{30}} \approx 0.57[/tex].
Hence, [tex]q_3[/tex] should be placed at [tex]x \approx 0.57\; \rm m[/tex].
A crowbar is used to lift a load of 1200 N by placing it at a distance of 25 cm from the fulcrum.
the force required at 60 cm from the fulcrum to balance the load.
Answer:
500 N
Explanation:
From the question,
Sum of clockwise moment = sum of anti clockwise moment.
F×d = F'×d'.................. Equation 1
Where F = Force applied to lift the load, d = distance, F' = Force required, d' = distance of the required force from the fulcrum
Make F' the subject of the equation
F' = F×d/d'.................. Equation 2
Given: F = 1200 N, d = 25 cm, d' = 60cm.
Substitute these values into equation 2
F' = 1200×25/60
F' = 500 N.
Hence the force required to balance the load is 500 N
A medication given to treat ventricular
tachycardia and ventricular fibrillation
Answer:
Amiodarone
Explanation:
1.
Two children sit on a uniform seesaw such that a 400. N child is 2.0 m from the support. How
far from the center should the second child of weight 475 N sit in order to balance the system
if the support is at the center of the plank?
Answer:
The other child must sit the same meters as the N child so they an be balanced.
Explanation:
A long board is free to slide on a sheet of frictionless ice. As shown in the top view in the diagram, a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation, which of the following occurs? Select two answers.
Answer:
A) rational kinetic energy is conserved
For the scenario painted below Rational kinetic energy is conserved
Option A is correct
What is Rational kinetic energy?Kinetic energy is simply defined as the energy that an item or particle has as a result of its movement.
In conclusion, For A longboard is free to slide on a sheet of frictionless ice. and a skater skates to the board and hops onto one end, causing the board to slide and rotate. In this situation Rational kinetic energy is conserved
Read more about Kinetic energy
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a ball rolls from rest down an incline with a uniform acceleration of 4m/s². what is it speed after 8 seconds
Which of the following is an example of an electromagnetic wave ?
Answer:
Its a wave
Explanation:
THis is one
Answer: a light wave
Explanation: a pex
A room is 5.0 m long, 4.0 m wide, and 3.0 m high. What is the mass of the air it contains?
Answer:
Here u go
Explanation:
Mass of air in the room m= volume of room×density of air
=(5m×4m×3m)(1.20kgm3)=72kg
Weight of air, W=mg=(72kg)(9.8ms2)=706N.
Answer:
person above is correct, i did the work and got the smae answer
Simplify the expression in part H. Following the five payments, what is the net change in the loan amount from Qulana's viewpoint?
Answer:
I'm not sure but, this video's pretty cool: gestyy.com/eyRkH2
Explanation:
pretty scary gameplay
Answer:
After five monthly payments, Quiana’s loan amount changes by $1,237.15.
Explanation:
A guitar string vibrates 600 times in 2 seconds.
Find its frequency and time period.
Steps Required.
frequency is equal to number of oscillations or vibrations upon time
therefore,
check picture
A worker drives a .500kg spike into a rail tie with a 2.50kg sledgehammer. The hammer hits the spike with a speed of 65.0 m/s. If one-third of the hammer's kenetic energy is converted to the internal energy of the hammer and spike, how much does the total internal energy increase?
Answer:
The increase internal energy is 1,760.41[tex]\overline 6[/tex] J
Explanation:
The given parameters of the worker, sledgehammer, and rail line are;
The mass of the spike driven into the rail, m₁ = 0.500 kg
The mass of the sledgehammer, m₂ = 2.50 kg
The speed of the sledgehammer, v = 65.0 m/s
The fraction of the hammers kinetic energy, KE, converted to the internal energy of the hammer and the spike, Δ[tex]E_{internal}[/tex] = 1/3 × KE
Therefore, we have;
The kinetic energy, KE, of the sledgehammer is given by KE = 1/2·m₂·v²
Where;
m₂ = The mass of the sledge hammer = 65.0 m/s
v = The velocity o the sledgehammer
∴ KE = 1/2 × 2.50 kg × (65.0 m/s)² = 5,281.25 J
Therefore;
The increase internal energy, Δ[tex]E_{internal}[/tex] = 1/3 × 5,281.25 J = 1760.41[tex]\overline 6[/tex] J
When a wool cloth is rubbed on the surface of a balloon, it tends to give away electrons causing the surface of the balloon to become :
positively charged
negativity charged
neutrally charged
Answer:
It is negativity charged
Answer:
positively charged
Explanation:
a wool has neutral charges hence when rubbed against a balloon it will generate positive charges
Explain how a current is induced in the wire?
Answer:
If a coil of wire is placed in a changing magnetic field, a current will be induced in the wire. This current flows because something is producing an electric field that forces the charges around the wire. (It cannot be the magnetic force since the charges are not initially moving). ... that determines the induced current.
What exactly occurs at the alveoli? Explain using blood vessels, diffusion, oxygen, and carbon dioxide in your answer (2-3 sentences)
Answer:
Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.
Explanation:
Hope this helps :)
HELP PLZZZ
Which optical devices can form images that are larger than the original
object?
Answer: B- A and C
Explanation:
A P E X
The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
What is optical device?The device which uses light for the meaningful purpose is called optical devices.
The device which form the images larger than the object are the converging type of lens or mirror.
The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.
Learn more about optical devices.
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A car of mass 800 kg goes round a corner of radius 65 m at a
speed of 10 m/s
b) Suggest how this force is likely to be obtained.
Answer:
Centrifugal force = 1230.77 Newton.
Explanation:
The force associated with the car is generally referred to as centrifugal force and it can be calculated using the formula;
Centrifugal force = mv²/r
Given the following data;
Mass = 800kg
Radius = 65m
Velocity = 10m/s
To find the force;
Centrifugal force = (800*10²)/65
Centrifugal force = (800*100)/65
Centrifugal force = 80000/65
Centrifugal force = 1230.77 Newton.
The speed limit on an interstate highway is posted at 75mi/h. What is the speed in kilometers per hour? In feet per second?
Answer:
See explanation
Explanation:
The conversion factor from miles per hour to kilometers per hour is 1.609344.
Hence;
To convert 75mi/h to kilometers per hour,
75mi/h * 1.609344 = 120.7 kilometers per hour
b)
To convert 75mi/h to feet per second
Since
1 mile per hour = 1.46667 foot per second
75mi/h = 75 * 1.46667 = 110 feet per second
Think of a technology or appliance that you use regularly. Identify the transfers and transformations of energy necessary to operate the technology. Explain your answer
PLZZ
Answer:
Energy conversion
Explanation:
We regularly use automobile which runs on the chemical energy of the fuels such as diesel and petrol, the chemical energy from the fuel would convert into the thermal energy which is used to drive the engine of the vehicle,further the thermal energy converted into the mechanical energy which is used to drive the prime mover of the automobile.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
We frequently utilize vehicles that operate on chemical energy from fuels like diesel and gasoline.
This chemical energy is transformed into thermal energy, which drives the engine of the vehicle, and then mechanical energy, which drives the prime mover of the vehicle.
Thus, we can say that the transfers and transformations of energy are necessary to operate the technology.
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a dogs tail hit a 1.3kg flower vase, knocking it over. the net force on the flower vase over time is shown below
what is the bases speed at t=20 ms?
round answer to two significant figures
note that time is in ms.
Answer: 0.15 m/s
Explanation:
Charges of +5C and −9C are at a distance of 1m from each other. Which diagram represents the force between the two charges?
Answer: Well the charges in 9c are positive so 5c is th force between the two making the ansewr
Explanation:
Answer:
C (3RD OPTION)
Explanation:
E2020
Why does eating less meat conserve more water than just eating plants?
Answer:
Studies show that eating fewer animal-based products could reduce water use since animal production uses more water than crops do. In addition, reducing the amount of food that's lost or wasted at various points in the food supply chain could feed about 1 billion extra people while simultaneously reducing water use.
Solar energy heats the surface of the Earth, including the ground, rocks, and even roadways. As the temperature of these surfaces increases, heat energy is released back into the atmosphere, forming a pocket of warm air. As the warm air pocket rises, it is replaced by cooler air. This process is responsible for many of the weather patterns in our atmosphere and is known as
Answer:
convection
Explanation:
I hope this helps
1) A plane whose airspeed is 220 km/h heads due
north. It suddenly encounters a 150 km/h cross wind
blowing due east. What is the resulting velocity of
the plane with respect to the ground?
Answer:
=(220^2 +150^2)
/
put this on a square root
for you to get 266.2705391
round it to a whole number =266km/h
Explanation:
p
Who created the periodic table
Answer:
Dimitri Mendeleev
In 1869 Russian chemist Dimitri Mendeleev started the development of the periodic table, arranging chemical elements by atomic mass. He predicted the discovery of other elements, and left spaces open in his periodic table for them.
A student wants to design an investigation to determine if an object contains potential energy. What are some questions the student could ask to determine if the object contains potential energy?
Does the object have kinetic energy?
Does the object move when it is released from a rest position?
Does work have to be done to hold the object in place?
Does a force act on the object?
Answer:
does work have to be done to hold the object in place
Answer:
Does the object move when it is released from a rest position? and Does a force act on the object?
Explanation:
i had the same quiz today and the other 2 are wrong
help me, what is the shape of solid?
Explanation:
Solids have a definite shape and definite volume.
Answer:
Solids have a definite shape and volume because the particles in them are held together tightly.
Explanation:
Liquids have a definite volume but their particles aren't held together as tightly as solids, so liquids take on the shape of the container they are in. Gases have no definite shape OR volume they just float around because the particles in them are so loose they can take on the shape and volume of any container.
30 PTS NEED THIS FAST
Answer:
the one made from aluminum
Explanation:
Which image shows an example of the strong nuclear force in action?
i think this is the incomplete page that you are showing but the answer is
:-
BA child pushes a toy truck 2.5 m across a floor with a constant force of 22 N. How much work does the child do on the toy truck?
22/2.5= 8.8 J
22 x 2.5= 55 W
22/2.5= 8.8 W
22 x 2.5= 55 J
Answer:
55j
Explanation:
work= force × distance
We have that When A child pushes a toy truck 2.5 m across a floor with a constant force of 22 N.The work done by the child on the toy truck
W= 55 Joules
22 x 2.5= 55 J
Option D
From the question we are told that
A child pushes a toy truck 2.5 m
A constant force of 22 N.
Generally the equation for the Workdone is mathematically given as
W=f*d
W=22N*2.5
W= 55 Joules
Therefore
When A child pushes a toy truck 2.5 m across a floor with a constant force of 22 N.The work done by the child on the toy truck
W= 55 Joules
22 x 2.5= 55 J
Option D
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You come out of a shopping mall one night and look at your car. Your car is painted blue, and the light illuminating the car is yellow. What color does your car appear to you in the yellow light?