five charges are placed in a closed box. each charge (except the first) has a magnitude which is twice that of the previous one placed in the box. all charges have the same sign and (after all the charges have been placed in the box) the net electric flux through the box is 6.8 × 107 n · m2 /c. what is the magnitude of the smallest charge in the box? the permittivity of a vacuum is 8.85419 × 10−12 c 2 /n · m2 . answer in units of µc
Answers
The magnitude of the smallest charge in the box is approximately 19.28 µC.
To solve this problem, we'll use Gauss's law, which states that the net electric flux through a closed surface is equal to the enclosed charge divided by the permittivity of a vacuum.
Net electric flux through the box (Φ) = 6.8 × 10^7 N·m^2/C
Permittivity of vacuum (ε₀) = 8.85419 × 10^−12 C^2/(N·m^2)
Let's assume the magnitude of the first charge placed in the box is q. Since each subsequent charge has a magnitude twice that of the previous one, the charges in the box will be q, 2q, 4q, 8q, and 16q.
Using Gauss's law, we can write the equation:
Φ = (q + 2q + 4q + 8q + 16q) / ε₀
Simplifying the equation:
Φ = 31q / ε₀
Now we can solve for q:
q = (Φ * ε₀) / 31
Substituting the given values:
q = (6.8 × 10^7 N·m^2/C * 8.85419 × 10^−12 C^2/(N·m^2)) / 31
Calculating the result:
q ≈ 1.928 × 10^−5 C
To convert the charge to microcoulombs (µC):
q ≈ 19.28 µC
Therefore, the magnitude of the smallest charge in the box is approximately 19.28 µC.
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Related Questions
State all the facts and information within the picture.
Answers
Pyrite Stone:
Pyrite, also known as fool's gold, is a mineral composed of iron and sulfur. It has a metallic luster and a brassy yellow color. Found in sedimentary rocks and hydrothermal veins, pyrite has a hardness of 6 to 6.5 on the Mohs scale. It has industrial uses in sulfuric acid production, fertilizers, and batteries. Pyrite can oxidize and cause environmental concerns. It is also used in jewelry and decorative items.
Cement Bricks:
Cement bricks, made from a mixture of cement, sand, and water, are widely used in construction for their strength, durability, and weather resistance. They offer advantages over traditional clay bricks and come in various sizes, shapes, and colors. Cement bricks are cost-effective, provide thermal insulation, and require proper construction practices for quality and longevity. Efforts have been made to develop sustainable alternatives to reduce energy consumption and carbon emissions.
Pyrite Stone:
Pyrite, also known as iron pyrite or fool's gold, is a mineral with the chemical formula FeS2. It is composed of iron and sulfur.It has a metallic luster and a brassy yellow color, often resembling gold. However, it is important to note that pyrite is not gold and does not have any intrinsic value.Pyrite is commonly found in sedimentary rocks, such as shale or limestone, as well as in hydrothermal veins and metamorphic deposits.It has a hardness of 6 to 6.5 on the Mohs scale, which means it is relatively soft compared to many other minerals.Pyrite is often used in various industrial applications. It is a source of sulfur in the production of sulfuric acid, and it is also used in the manufacturing of fertilizers, sulfur dioxide scrubbers, and certain types of batteries.In its natural form, pyrite can sometimes oxidize and form sulfuric acid, leading to acid mine drainage, which can be environmentally damaging.Pyrite has also gained popularity as a decorative stone in jewelry and ornamental pieces due to its unique appearance.Cement Bricks:
Cement bricks, also known as concrete bricks, are building materials made from a mixture of cement, sand, and water.The main component of cement bricks is cement, which acts as a binder, holding the other materials together.Cement bricks are manufactured through a process of mixing the cement, sand, and water, followed by molding and curing.They are commonly used in construction for building walls, pavements, and other structures.Cement bricks have several advantages over traditional clay bricks. They offer better strength, durability, and weather resistance.Cement bricks are available in various sizes, shapes, and colors to suit different construction needs and aesthetic preferences.They are relatively cost-effective compared to other building materials and provide good thermal insulation properties.The production of cement bricks requires energy and contributes to carbon emissions, so efforts have been made to develop more sustainable alternatives, such as fly ash bricks or eco-friendly cement.Proper construction practices, including correct mixing ratios and adequate curing, are essential for ensuring the quality and longevity of cement brick structures.For more such information on: mineral
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A 2. 99 x 10-6 C charge is moving
perpendicular (90°) to the Earth's
magnetic field (5. 00 x 10-5 T). If the
force on it is 2. 14 x 10-8 N, how fast is
it moving?
Answers
the charge is moving at a speed of 1.43 x 10^3 m/s.
To solve this problem, we can use the equation for the magnetic force on a moving charge:
F = qvB
where F is the force, q is the charge, v is the velocity, and B is the magnetic field.
Rearranging the equation to solve for velocity, we get:
v = F / (qB)
Plugging in the given values, we get:
v = (2.14 x 10^-8 N) / [(2.99 x 10^-6 C) x (5.00 x 10^-5 T)]
Simplifying, we get:
v = 1.43 x 10^3 m/s
Therefore, the charge is moving at a speed of 1.43 x 10^3 m/s.
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Suppose we have a camera with a focal point at (0,0,0) and an image plane of x+z=2.
a. A point that is somewhere in the scene appears at the image location (3/2,3,1/2). If we took a picture using a camera with the same focal point but an image plane of z=1, where would this scene point appear in the image?
b. Suppose the scene point appears at the image location (xy.z), with x+z=2. Suppose we took a picture using a camera with the same focal point but an image plane of z=1. Give a general formula that tells us where this point will appear in the image.
Answers
The new image location on the image plane z=1 is (3/4, 3/2, 1). The general formula for the new image location on the image plane z'=1 is (x * (1/(2-z)), y * (1/(2-z)), 1).
a. To find the image location for the new image plane (z=1), we can use similar triangles. The original point is (3/2, 3, 1/2), and the image plane equation is x+z=2. Let the new point be (x', y', 1). We can form the following ratios:
x'/3/2 = 1/(1/2)
y'/3 = 1/(1/2)
Solving for x' and y', we get:
x' = 3/2 * (1/2) = 3/4
y' = 3 * (1/2) = 3/2
So, the new image location on the image plane z=1 is (3/4, 3/2, 1).
b. For a general formula, let the original point be (x, y, z) with x+z=2, and the new image plane be z'=1. Let the new point be (x', y', 1). Using similar triangles, we can form the following ratios:
x'/x = 1/(2-z)
y'/y = 1/(2-z)
Solving for x' and y', we get:
x' = x * (1/(2-z))
y' = y * (1/(2-z))
So, the general formula for the new image location on the image plane z'=1 is (x * (1/(2-z)), y * (1/(2-z)), 1).
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A force of 30 newtons and a force of 20 newtons act
concurrently on an object. Which of the following
resultant forces could be produced using these two
forces?
Answers
Answer:
Explanation:
Given:
F₁ = 30 N
F₂ = 20 N
_________
R - ?
If the forces act along one straight line, then 4 combinations are possible:
as oil is pumped through a hydraulic system it progressively
Answers
As oil is pumped through a hydraulic system, it progressively builds pressure and flows through the system, providing power to hydraulic components such as cylinders, motors, and valves.
The oil's flow rate, viscosity, and temperature can all impact the system's performance and efficiency. It's crucial to maintain the oil's cleanliness and monitor its level to ensure the hydraulic system's proper function.
As oil is pumped through a hydraulic system, it progressively flows from the hydraulic pump, which generates the required pressure, to various components such as valves, actuators, and cylinders.
These components help control and transmit the energy created by the pressurized oil, allowing the hydraulic system to perform work efficiently. Here's a step-by-step explanation of the process:
1. The hydraulic pump draws oil from the reservoir, increasing its pressure and generating the necessary power.
2. The pressurized oil flows through the hydraulic lines, which are designed to withstand the high pressure.
3. The oil reaches control valves, which regulate the flow and direction of the oil within the system.
4. The oil then moves to the actuators (such as hydraulic cylinders or hydraulic motors), where the pressurized oil's energy is converted into mechanical force, allowing the system to perform work.
5. Once the work is done, the oil's pressure decreases, and it returns to the reservoir, where it may be filtered and re-circulated through the hydraulic system.
As oil progresses through a hydraulic system, it's essential to maintain its proper viscosity, cleanliness, and temperature to ensure efficient performance and prevent component wear or damage.
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a 25 ohm resistor in an electric circuit draws a current of 5 amperes a certain amount of charge through the resistor in 36 seconds calculate the voltage
Answers
Answer:
V= 125volts
Explanation:
R =25ohms
I = 5 amp
V = ?
t = 36seconds
V = IR
V = 5× 25
V= 125volts
Q = It
Q = 5×36
Q = 180 coulombs
Q is the amount of charge.
If you move 50 meters in 10 seconds, what is your speed?
Answers
Answer: 5 meters per second (5mps)
Explanation:
Simply take 50 and divide it by 10
\(\frac{50}{10} =5\)
If a metal ball suspended by a rod is at rest, which force is responsible for balancing the force due to gravity? a. the tension in the rod b. the friction of the rod c. the electromagnetic force d. the strong force around the rod
Answers
If a metal ball is suspended by a rod , the forces acting on the system are balanced so there is no motion observed in the system and this is because of the upward tension in the rod .
Option 1 says : the tension in the rod
The gravitational pull that is acting downwards direction and the tension in rod that is acting in a anti parallel direction to the gravitational pull . being on the same line of action and in opposite directions , these forces cancels each other out .
Option 2 says : the friction of rod
Friction acts in cases of contact forces like a drag or pull not in cases of non-contact forces like gravity , thus friction can't balance it .
Option 3 says : the electromagnetic force
There are no charges or magnets present in the system so the electromagnetic force is absent in this case Thus they cant balance the gravitational force.
Option 4 says : the strong force around the rod
The strong force around is not on the line of action of the gravitational pull so it cant balance it.
So out of all the forces only the tension present in the rod is able to balance the gravitational force
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find the angle between the vectors. u = (2, 3, 0), v = (3, −2, 1)
Answers
Therefore, the angle between vectors `u` and `v` is 90°.
To find the angle between two vectors, we can use the formula:
`cos(θ) = (u . v) / (||u|| ||v||)`
Where u and v are vectors, `.` is the dot product of vectors and || || is the magnitude of a vector.θ is the angle between the two vectors.
In this problem, we need to find the angle between vectors `u` and `v`.
We have the following vector
s:u = (2, 3, 0) and v = (3, −2, 1)
Let's find the dot product of vectors `u` and `v`.u .
v = 2 × 3 + 3 × (−2) + 0 × 1
= 6 − 6 + 0
= 0
Let's now find the magnitudes of vectors `u` and `v`.||u|| = √(2² + 3² + 0²) = √(13) and
||v|| = √(3² + (−2)² + 1²)
= √(14)
Now, we can use the formula to find the angle between vectors `u` and `v`.cos(θ) = (u . v) / (||u|| ||v||)cos(θ)
= 0 / (√(13) × √(14))cos(θ)
= 0θ
= cos⁻¹(0)θ
= 90°
The angle between the vectors u = (2, 3, 0) and v = (3, −2, 1) is 90 degrees.
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"to compress spring 1 by 0.20m takes 150j of work. stretching spring by 2 by 0.30 m requires 210j of work . which spring is stiffer?
a. spring 1
b. spring 2"
Answers
The spring with the higher stiffness is Spring 1. To determine this, we can look at the amount of work required to compress each spring by a given amount.
Compressing Spring 1 by 0.20m requires 150J of work, while compressing Spring 2 by 0.30m requires 210J of work. Since more work is required to compress Spring 2 by a smaller amount than it is to compress Spring 1, we can infer that Spring 1 is stiffer than Spring 2.
Stiffness is the amount of force required to move the spring a certain distance. The higher the stiffness, the more force is required to move the spring. Since it takes more force to compress Spring 1 than it does to compress Spring 2, Spring 1 is stiffer.
We can also look at the amount of work required to stretch each spring by a given amount. Stretching Spring 1 by 0.20m requires 150J of work, while stretching Spring 2 by 0.30m requires 210J of work. Again, since more work is required to stretch Spring 2 by a smaller amount than it is to stretch Spring 1, we can infer that Spring 1 is stiffer than Spring 2.
To summarize, Spring 1 is stiffer than Spring 2 since it requires more work to compress and stretch it by a given amount. Compressing Spring 1 by 0.20m requires 150J of work, while compressing Spring 2 by 0.30m requires 210J of work. Stretching Spring 1 by 0.20m requires 150J of work, while stretching Spring 2 by 0.30m requires 210J of work.
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What do all muscles have a store of, which is used for fuel?
O A. Oxygen
O B. Protein
O c. Carbohydrates
O D. Glycogen
Answers
Answer:
D. Glycogen
Explanation:
the major fuels for muscle are glucose fatty acids, and ketone bodies. muscle differs from the brain in having a large store of glycogen
Answer:
D. Glycogen
Explanation:
About 3/4 of all the glycogen in the body is stored in muscle.
T/F. The gas tube should be removed by pulling it by the narrow portion in the center. FALSE
Answers
True. The gas tube should not be removed by pulling it by the narrow portion in the center, as this can cause the glass to break or the electrodes inside to become damaged. Instead, the gas tube should be held by the wider end or the base, and gently twisted or wiggled to loosen it before removal.
A gas tube is a sealed glass tube that contains a gas or a mixture of gases at low pressure. It is often used in electrical circuits and lighting applications, such as neon signs, fluorescent lamps, and gas discharge lamps. When a voltage is applied to the electrodes at the ends of the tube, the gas inside the tube ionizes and emits light of a specific color or wavelength. Different gases produce different colors of light, which makes gas tubes useful for decorative and advertising purposes.
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a fireman has mass m; he hears the fire alarm and slides down the pole with acceleration a (which is less than g in magnitude). (a) write an equation giving the vertical force he must apply to the pole. (b) if his mass is 90.0 kg and he accelerates at what is the magnitude of his applied force?
Answers
The equation F ≤ mg gives the vertical force he must apply to the pole. The magnitude of the force is 90.0 times the acceleration if the mass of the firemen is 90kg.
The given data is:
Mass of firemen = m
Acceleration = a
a.
There are two forces acting on the fireman. They are his weight (mg) acting downwards, and the force of friction (F) between the pole and the fireman acting upwards.
The fireman is sliding down the pole, and the force of friction must be less than the force of gravity acting toward the fireman or equal. Therefore, the equation giving the vertical force he must apply to the pole is,
F ≤ mg.
b.
If the fireman's mass is 90.0 kg and he accelerates at a rate of a.
The magnitude of his applied force can be calculated by:
a = F/m
To calculate the Forec, we can rearrange the equation as:
F = ma
F = (90.0 kg) x (a)
Therefore we can conclude that the magnitude of the force is 90.0 times the acceleration a.
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Help me with this please
Answers
Explain why a coefficient of friction does not have units of measurement.
Answers
Answer:
The coefficient of friction is dimensionless, which means it has no units. It is a scalar, which means that the direction of the force seems to have no effect upon that physical... This coefficient of friction seems to be unitless or we could say a dimensionless ratio of frictional force to normal reaction.
Which describes how electromagnetic waves travel?
Answers
Answer:
Travels through solid materials, and air.... but it can also travel through the vacuum of space
Explanation:
When a rock tied to a string is whirled in a horizontal circle, doubling the speed _______
doubles the velocity, but the string tension remains the same.
decreases the velocity.
quadruples the tension in the string. doubles the tension in the string.
Answers
When a rock on a string is spun in a horizontal circle, the speed is doubled, quadrupling the tension in the string.
When the rope breaks, there is no force in the radial direction, thus the stone flies off tangentially because of inertia. Until the stone is attached to a string, the tension in the string causes centripetal force and centrifugal force along in radial direction of motion.
What is Tension in the string?
Tension is the force that is sent through a rope, string, or wire when two opposing forces pull on it. Along the whole length of the wire, the tension force pulls energy equally on the bodies at the ends.
Every physical object that comes into contact with another one exerts a force on it. These contact forces have names based on the types of things they are applied to. One of the forces exerted on an object, such as a rope, cable, or chain, is tension.
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A 10 kg mass is attached to a spring with a spring constant k= 140 N/m. The mass starts in motion at its equilibrium position with an initial velocity of 1 m/sec in the upward direction. The damping force is 90 times the velocity. Find the equation of motion if there is also an applied external force of f(t) = 5 sint. (12pts) What is the steady-state solution ( as t)? (3pts)
Answers
The equation of motion for the given system, considering the damping force and the external force, can be determined using Newton's second law.
What is the equation of motion for the given system with damping force and external force?The equation of motion for the system can be expressed as:
\(m * a + c * v + k * x = f(t)\)
Where:
m = mass of the object (10 kg)a = acceleration (second derivative of displacement with respect to time)c = damping coefficient (90 times the velocity)v = velocity (first derivative of displacement with respect to time)k = spring constant (140 N/m)x = displacement from the equilibrium positionf(t) = external force (5 sin(t))Using Newton's second law (F = ma), we can rewrite the equation as:
\(10 * (d^2x/dt^2) + 90 * (dx/dt) + 140 * x = 5 * sin(t)\)
This is the equation of motion that describes the behavior of the system, taking into account the mass, damping force, spring constant, and the applied external force.
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In one cycle, an engine burning a mixture of air and methanol absorbs 525 J and expels 415 J, what is the engine’s efficiency?
Answers
Answer:
79%
Explanation:
Energy expelled / Energy absorbed = 415/525 = 0.79 = 79%
In one cycle, an engine burning a mixture of air and methanol absorbs 525 J and expels 415 J , then the efficiency of engine would be 20.95 %
what is the efficiency of an engine?
The efficiency of an Indian can be defined as the ratio of the total useful work done by the engine to the total heat absorbed by the engine
It can be represented in the form of percentage or in terms of fraction as well.
In general the efficiency of an engine represented by the greek symbol η.
The mathematical expression for the efficiency of an Indian can be presented as follows
Efficiency = useful work done /total heat absorbed
Total useful work = total heat absorbed - total heat rejected
For the given problem,An engine burning a mixture of air and methanol absorbs 525 Jules and expel 415 Jules
The total useful work done by the engine = 525 J - 415 J
=110 J
η = 110 / 525
=0.2095
For getting the percentage we have to multiply the fraction with 100.
Thus ,efficiency of the engine comes out to be 20.95%.
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Biological fluid mechanics, please answer all questions or at
least as much as possible
(a) The governing principles in fluid mechanics are described analyticaly by the conservation laws for mass, momentum, and energy. These can be stated either in integral form when applied to an extend
Answers
Biological fluid mechanics is a rapidly growing field of study that uses the principles of fluid mechanics to understand the behavior of fluids in biological systems. This includes the study of blood flow, mucus transport, and the swimming of microorganisms.
The field is essential for understanding the functioning of many biological systems and has led to new insights into the behavior of living organisms.
Biological fluid mechanics is a multidisciplinary field that draws on the expertise of engineers, physicists, biologists, and mathematicians.
As the field continues to develop, we can expect to see new applications in fields such as medicine, environmental science, and robotics.
Here are some of the specific applications of biological fluid mechanics:
Medicine: Biofluid mechanics can be used to design new medical devices, such as artificial heart valves and catheters.
Environmental science: Biofluid mechanics can be used to understand the transport of pollutants in water and air.
Robotics: Biofluid mechanics can be used to design robots that can swim or fly like animals.
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True or False: Players on offense without possession of the ball are not allowed in the opposing team’s two meter line, or a turnover is called. *
Answers
Answer:true
Explanation:\(U\)
state the factors that affect tha gravitational force
Answers
Explanation:
1. Mass of an object
2. Distance between the objects
Answer:
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
Explanation:
PLEASE let me know you are satisfied with my answer or not☺☺
On a distant planet, the GPE of a 65 kg astronaut is 11,115 j when they are on a 46 m tall cliff. What is the acceleration due to gravity on this planet
Answers
Answer:Learn what gravitational potential energy means and how to calculate it. ... a pulley and rope, so the force due to lifting the box and the force due to gravity, ... would be used by an elevator lifting a 75 kg person through a height of 50 m if the ... When you are close to a planet you are effectively bound to the planet by gravity ..
Explanation:
Increasing your workload a little bit is called?
A progression
B regularity
C overload
D specificity
Answers
happening or developing gradually or in stages; proceeding step by step.
Answer: A
Explanation:
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in ____________ twitches per stimulus.
Answers
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in identical twitches twitches per stimulus.
Alpha motor neurons are the motor neurons that innervate the fibers of the skeletal muscle. A number of branches, each innervating a different muscle fiber, are formed as the alpha motor neuron enters the muscle. A motor unit is made up of one alpha motor neuron and all of the muscle fibers it innervates. Small motor units with 3-5 muscle fibers per motor neuron are found in muscles that are involved in delicate, coordinated control. Our hand and eye muscles, as well as those that control eye movement, have very small motor units.
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Which formulas show the relationships between momentum, mass, and velocity? check all that apply. p = mv p = mass over volume p = volume over mass m = density over volume p = volume over density v = density over mass v = mass over density
Answers
The relationships between momentum, mass, and velocity is that the product of mass and velocity gives the momentum of that object ( kg.m/s ).
P = mv.
What is Momentum?Momentum is simply the product of the mass of an object and its velocity.
Its is expressed as;
P = m × v
Where m is the mass of the object and v is its velocity.
The relationships between momentum, mass, and velocity is that the product of mass and velocity gives the momentum of that object ( kg.m/s ).
P = mv
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Answer:(C)
Explanation:
because is 13 trust me I got it right
I don't get Physics, can you help me, also i'm a begginer
Answers
If we think about it carefully, isn’t the entire Universe nothing more than a bunch of matter interacting as it transfers energy around?
Answers
Answer:
Yes, that's a good way to think about it. The entire universe can be described as a vast collection of matter and energy that interact with one another in complex ways. Energy is transferred from one object to another through various processes, such as radiation, conduction, and convection. These interactions result in the movement and transformation of matter and energy, which in turn shape the physical and chemical characteristics of the universe as a whole. So, in a sense, the entire universe can be seen as a dynamic system of energy transfer.
Explanation:
what change should a rahul make
Answers
Answer:
Whats a rahul?
Explanation:
I'll edit this once I know :)
Answer: its B
Explanation: just took the quiz
The total amount of kinetic energy associated with the motion
of atoms or molecules in an object is referred to as
A
B
C
D
Heat
Light
Sound
Spin
1250
Answers
The total amount of kinetic energy associated with the motion of atoms or molecules in an object is referred to as Heat.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy possessed by a body due to its motion. The kinetic energy of an object is equal to one half of the product of its mass and the square of its velocity. In equation form, kinetic energy can be expressed as KE = 1/2 mv2, where m is the mass of the object and v is its velocity. Kinetic energy can be used to do work. For example, when a car accelerates, its kinetic energy is used to overcome the force of gravity and friction, allowing it to move forward. Kinetic energy can also be used in other situations such as the kinetic energy of a thrown baseball or the kinetic energy of a swinging pendulum. Kinetic energy is a form of energy that can be converted into other forms of energy, such as heat and sound, or used to do work.
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