1) Express the magnitude of the force between the wires per unit length, f, in terms of I1, I2: f = (μ0/4π) * (I1 * I2 / d),
2) Calculate the numerical value of f in N/m: 9.86 x 10^-5 N/m
3) The force is repulsive.
4) Express the minimal work per unit length needed to separate the two wires from d to 2d: 1.15×10⁻⁸ J/m
5) The numerical value of w in J/m is: 6.4 x 10^-6 J/m.
Explanation to above written short answers are given below,
1. The magnitude of the force between the wires per unit length, f, in terms of I1, I2, and d can be expressed by the equation
f = (μ0/4π) * (I1 * I2 / d),
where μ0 is the permeability of free space.
2. Substituting the given values, we get
f = (4π x 10^-7 N/A^2) * (0.65 A * 0.35 A / 0.065 m) = 9.86 x 10^-5 N/m.
3. The force between the wires is attractive since the currents are in opposite directions.
4. To separate the two wires from d to 2d, we need to do work against the magnetic field produced by the current-carrying wires. The work required per unit length is given by:
W/L = μ₀I₁I₂ln(2)
where μ₀ is the permeability of free space,
I₁ and I₂ are the currents in the wires, and
ln(2) is the natural logarithm of 2.
Substituting the given values, we get:
W/L = (4π×10⁻⁷ T·m/A) × (0.65 A) × (0.35 A) × ln(2) = 1.15×10⁻⁸ J/m
5. Substituting the value of f from above, we get
W = ∫(9.86 x 10^-5 N/m)dx from d to 2d.
Solving this integral gives us
W = 9.86 x 10^-5 N/m * (2d - d) = 9.86 x 10^-5 N/m * d = 6.4 x 10^-6 J/m.
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The color of light emitted is determined by the amount of energy released by the atom when electrons within it relax.
Answer:
As electrons move from higher energy levels to lower energy levels a photon (particle of light) will be given off. This is the process of emission.
Explanation:
electrons and photons also do this
about how often is a full moon observed from earth’s surface?
Minimum 14 times in a year is the time in which a full moon is observed from earth’s surface.
The Moon is not like Earth. It does not have oceans, lakes, rivers, or streams. It does not have wind-blown ice fields at its poles. Roses and morning glories do not sprout from its charcoal gray, dusty surface. Redwoods do not tower above its cratered ground.
Dinosaur foot prints cannot be found. Paramecium never conjugated, amoeba never split, and dogs never barked. The wind never blew. People never lived there—but they have wondered about it for centuries, and a few lucky ones have even visited it.
The lunar surface is charcoal gray and sandy, with a sizable supply of fine sediment. Meteorite impacts over billions of years have ground up the formerly fresh surfaces into powder. Because the Moon has virtually no atmosphere.
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When do a 1000kg car and a 2000kg truck have the same momentum
Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.
When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the 2000kg truck.
What is momentum?The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
As a 1000kg car and a 2000kg truck have the same momentum,
1000 kg × v₁ = 2000 kg × v₂
v₁ = 2v₂
Hence, the speed of 1000 kg car is twice that of the 2000kg truck.
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Select the correct equations that show that 25 WW of power is required to give a brick 100 JJ of PEPE in a time of 4 ss .
25w = 100J/4s is the equation which rightly deciphers the relation of power, work and time.
What does "power" mean in physics?Power is the rate at which work is performed or energy is delivered in accordance with science and engineering. It can be represented as W/t, which refers to the product of the quantity of work finished (W) or energy converted (E) divided by the amount of time (t).
power (w) equals work (J)/time (s)
What does "work" mean with respect to science?The energy that is generated when a force is imposed on a moving object is described as work. The work that a force would do on an item is directly proportional to the force multiplied by the displacement multiplied by the cosine of the angle between them. The SI unit of work and energy is denoted by the letter J.
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Show that 25 W of power is required to give a brick 100 J of PE in a time of 4 s .
Figure 4 shows balls 1 and 2 before and after a collision.
Ball 1 initially travels with a velocity of u m/s. Ball 2 is stationary and has a mass of 0.2 kg.
Ball 1 collides with ball 2 and this collision lasts for 0.1 s. Afterwards, both balls move in
the direction of ball 1's initial velocity. Each ball has a different final velocity.
During the collision, a force of -6N is exerted on ball 1 by ball 2
Calculate the velocity of ball 2 after the collision
According to the question, the velocity of ball 2 after the collision is 30 m/s.
What is velocity?
Velocity is a vector quantity that describes the rate and direction of an object's motion. It is the displacement of an object over a period of time and is usually expressed in terms of distance (meters, feet, or kilometers) divided by time (seconds). It can also be expressed as the speed of an object in a particular direction. Velocity is a key factor in describing the motion of objects, as it accounts for both the speed and direction of an object's motion. It is an important concept in physics, and it is used to calculate forces and potential energy.
From the laws of conservation of momentum, the final velocity of ball 2 can be calculated as follows:
m1u + m2v = m1v1 + m2v2
0.2 x u + 0.2 x v = 0.2 x u + 0.2 x v2
v2 = u - (6N x 0.1s)/0.2kg
v2 = u - 30 m/s
Therefore, the velocity of ball 2 after the collision is 30 m/s.
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Which of the following best describes mineral habit?
General physical appearance best describes the mineral habit.
External physical appearance, which a mineral tends to have is known as its habit. It may be long slender ones, blocky crystals, or aggregates of some type, etc.
Blocky crystal is a box-like or ball-like appearance. Tabular crystal is just like a deck of playing cards(thick). Prismatic shape is like end faces are parallel to each other. They may be long, and short based on the ratio of length to lateral width ratio.
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Compare and contrast angular momentum and linear momentum. Include two ways that they are alike and two ways that they are different. Be sure to discuss how mass affects both angular and linear momentum.
Angular momentum and linear momentum are two physical concepts that have some similarities and differences. They are both measures of motion, but they describe different types of motion.
Similarities:
Both angular and linear momentum are conserved in isolated systems, meaning that the total amount of momentum in a system remains constant unless acted upon by an external force.Both angular and linear momentum are vector quantities, meaning they have both magnitude and direction.Differences:
Angular momentum is a measure of an object's rotational motion, while linear momentum is a measure of an object's translational motion.Angular momentum depends on the object's mass and its distance from the axis of rotation, while linear momentum depends only on the object's mass and velocity.What is angular momentum and linear momentum?The term angular momentum and linear momentum are similar in that they are both conserved and vector quantities, but they differ in that angular momentum describes rotational motion and linear momentum describes translational motion.
In summary, angular momentum depends on both mass and distance from the axis of rotation, while linear momentum depends only on mass and velocity.
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A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute.
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. The expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r is dr/dh =- r/2h
The following formula determines a cylinder's volume:
V = πr²h,
where V is the volume, r is the cylinder's radius, and h is the cylinder's height.
In terms of height h and radius r, we must express the rate at which the clay's radius changes in relation to its height.
That means that height h and radius r are used to express dr / dh. To accomplish this, we must first compare the volume to the height, or find dV / dh:
V = πr²h
dv/dh = d/dh ( πr²h)
dv/dh =πr²+2 πrh dr/dh
The volume constance dV/dh = 0
dv/dh =πr²+2 πrh dr/dh
0=πr²+2 πrh dr/dh
-πr² =2 πrh dr/dh
dr/dh = - -πr² / 2 πrh
dr/dh =- r/2h
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an object with a kinetic energyof 16,000 joules has a velocity of 8 m/s what is its mass
The mass of the object with a kinetic energy of 16,000 joules has a velocity of 8 m/s is 500kg.
How to calculate kinetic energy?Kinetic energy refers to the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
Kinetic energy of a body can be calculated using the following formula:
K.E = ½mv²
Where;
K.E = kinetic energym = massv = velocityAccording to this question, an object with a kinetic energy of 16,000 joules has a velocity of 8 m/s. The mass can be calculated as follows:
16,000 = ½ × m × 8²
16,000 = 32m
m = 16000/32
m = 500kg
Therefore, 500kg is the mass of the object.
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Naim Suleimanoglu of Turkey has a mass of about 62 kg, yet he can lift
nearly 3 times this mass. (This feat has earned Suleimanoglu the nick-
name of "Pocket Hercules.") If the potential energy associated with a
barbell lifted 1.70 m above the floor by Suleimanoglu is 3.04 x 10³ J,
what is the barbell's mass?
According to the problem The barbell's mass is 178 kg.
What is barbell's mass ?
The mass of a barbell can vary depending on the size and type of barbell. Standard barbells typically range from 10 kilograms (22 pounds) to 45 kilograms (99 pounds). Olympic barbells are typically 25 millimeters (1 inch) in diameter and are available in weights ranging from 15 kilograms (33 pounds) to 25 kilograms (55 pounds). Barbells with a smaller diameter, such as a women's barbell, usually weigh between 5 kilograms (11 pounds) and 15 kilograms (33 pounds). Powerlifting barbells are thicker and longer than standard barbells and usually weigh between 20 kilograms (44 pounds) and 25 kilograms (55 pounds).
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Lars is balancing equations with his study group. He is unsure about one equation because each member of the study group came up with a different answer. Which is the proper way to balance the equation Ca(OH)2 + H3PO4 → Ca3(PO4)2 + H2O?
Follow my lead or ur answer is very wrong
A police car is heading towards you with its siren blaring. Explain what is
happening to the wavelength as the police car is moving towards you and what is
happening to the wavelength as the police car moves away from you.Write 2-3 sentences.
A higher pitch siren is audible to this person. The sound waves become less frequent as they get more spaced apart as the police car moves off.
How to define wavelengthThe distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in space or over a wire. In wireless systems, this length is frequently specified in meters (m), centimeters (cm), or millimeters (mm) (mm).
How do you define frequency and wavelength?The wavelength, which is also the distance between two wave crests and troughs, is the measurement of wave length. In cycles per second (Hz), the term "frequency" refers to the number of vibrations that cross a specific area in a second (Hertz).
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A marching band is practicing. the band director sees the drum major hit a drum. how far away is the director if he hears the drumbeat in 0.40 seconds? the speed of sound is 330 m/s.
The distance between the director and the drum is 132 m.
how to calculate the distance between the director and source of the sound?Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration. the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear. The formula of the sound in correlation with time of hear and distance is time of hear = speed of sound : distance. As per data given, time of hear = 0.40s; speed of sound = 330 m/s. The distance will be:
time of hear = speed of sound : distance
0.40 = 330 : distance
distance = 330 : 0.40
distance = 132 m
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Which of the following is a nonrenewable energy source?A. Natural gasB. Solar energyC. Wind energyD. Tidal energy
Out of the given options, Natural gas is a non-renewable source of energy.
Energy sources are categorized into two types, renewable and non-renewable source of energy. renewable sources of energy are those which can be use more than once. like: wind energy, solar energy, and tidal energy, etc. On the other hand non-renewable energy cannot be used more than once. they got vanished after one use. They are one-time use energy sources. Some examples of non-renewable sources of energy are, natural gas, petrol, diesel, coal, etc.
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part other than hydrogen that acid contain
Part other than hydrogen that acid contain- is called anion in dissolved form.
What is acid?A Bronsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H⁺) or establish a covalent bond with an electron pair.
The proton donors, also known as Bronsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H₃O⁺ under the unique situation of aqueous solutions. The Arrhenius theory was expanded upon by Bronsted and Lowry to take non-aqueous solvents into account.
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Consider a 0.95 MeV y-ray photon. Randomized Variables E = 0.95 MeV
Considering a 0.95 MeV y-ray photon and Randomized Variables E = 0.95 MeV so the frequency of light will be 2.294×10²⁰ Hz.
Given,
The energy of photon
E = 0.95 MeV = 0.95× 1.6×10⁻¹³ J or 1.52 × 10⁻¹³ J
Using E = hυ
We have:
υ = E/h = 1.52×10⁻¹³/(6.626×10⁻³⁴)
= 2.294×10²⁰ Hz
Thus the frequency of light will be 2.294×10²⁰ Hz.
Associated to each wave vector ~k and polarization state σ there is an electromagnetic normal mode of oscillation with frequency ω(k) = kc and complex amplitude aσ( ~k). In the absence of sources, the behavior of the electromagnetic field is completely described by these normal modes. We will assume the normal modes are defined using periodic boundary conditions.
For each ~k and σ there is a Hilbert space of square integrable functions and a Hamiltonian( ~k). For each ~k and σ there is a basis of energy eigenvectors; the corresponding ladder operators act on this basis by adding and subtracting quanta of energy ω(k).
We can use this basis to induce a basis for the tensor product over all the oscillator Hilbert spaces, which is the state space for the composite system of normal modes, i.e., the electromagnetic field.
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Find the force of gravity acting on the following object 1.2 kg rabbit
The force of gravity which is the same as weight of the object is 11.8 N
What is Weight ?Weight can be defined as a gravitational pull on any object in space under the influence of acceleration due to gravity. The force of gravity acting on an object is also known as weight.
To find the force of gravity acting on the 1.2 Kg rabbit, let us use the formula below
W = mg
Where
Weight W = ?Mass m = 1.2 KgAcceleration due to gravity g = 9.8 m/s²Substitute all the parameters
W = 1.2 × 9.8
W = 11.76 N
Therefore, the force of gravity acting on the 1.2 kg rabbit is 11.8 N approximately.
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What happens if there is no transformation of energy in the world ?
Answer:
If there were no transformation of energy in the world, everything would come to a standstill.
Explanation:
Energy is required for all processes and interactions to occur, including movement and chemical reactions. Without energy, matter would not be able to move or change in any way. This would mean that living organisms would not be able to survive, as they rely on energy to carry out metabolic processes and maintain their body's functions.
The sun would not shine, the wind would not blow and the water would not flow, as they are all driven by energy transformations. The weather would not change, and there would be no seasons. The temperature would not vary and the weather patterns would not change.
Machines and technology would not work, as they also rely on energy to operate. There would be no electricity, transportation, or communication. The economy would come to a standstill as all the industry, trade, and commerce would stop.
In short, without energy transformation, the world would be a static, lifeless place, and life as we know it would not be possible.
PLEASE HELP
Fill in the blanks to correctly complete the statement.
The motion of an object moving with uniform circular motion is always_______
to the circle, so the speed of an object moving in a circle is known as _______
speed.
Answer:
The first one is tangent, second is tangential.
How do you calculate the force of an electron?
The force of an electron cannot be calculated directly. However, the force of an electron can be determined indirectly by measuring the electric field around the electron and calculating the force on the electron using the equation F=qE, where q is the charge of the electron and E is the electric field.
The electric field around an electron can be measured using various experimental methods. One of the most common methods is to use a laser to measure the electric field of an electron. This is done by shining a laser beam onto a charged particle and then measuring the intensity of light that is scattered from the particle.
The electric field of the electron can then be calculated from the measured intensity of the scattered light.
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Car slides stop over 50m the force of friction bringing stop 329 N how much work done on car ?
Answer:
W = - 16450 J
Explanation:
Force of friction = - 329 N ( Friction acts opposite to the direction of motion )
Displacement = 50 m
W = F s
= - 329 × 50
W = - 16450 J
∴ The work done by the force of the friction is - 16450 J .
The work done on the car to stop it by the frictional force of 329 N over 50 m is 16450 J.
What is frictional force?Friction is a type of force which resists the motion of an object. Thus friction opposes the force that make the object moving. When a force is making a displacement on object or make it stop.
The work done in physics is the product of the force acting on it to stop or displace and the displacement.
Given displacement = 50 m
friction force = 329 N
Work done = Force × displacement
= 329 N × 50 m = 16450 J
Therefore, the work done on the car by the frictional force to stop it is 16450 J.
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A common source of wave motion is a:
Answer: A vibrating object is the common source of wave.
Explanation:
The cause of all wave motion is a vibrating object. The motion of waves is caused by the vibrations of the substance they are made of, and these vibrations lead them to move in an oscillatory fashion.
For instance, when the air surrounding us vibrates, sound waves are created. On the other hand, charged particles that are oscillating, like they are in the antenna, produce electromagnetic waves.
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Name a force between the brakes and the wheels that does work to slow down the vehicle when brakes are applied
if there are two waves A and B with their amplituds 3 cm and 4 cm respectively compared it's loudness and tell which one is more louder
Wave B will be louder than wave A.
Let the amplitude of wave A be a1 and the amplitude of wave B be a2.
Similarly, let the loudness of wave A be L1 and the loudness of wave B be L2.
We know,
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{a1^{2} }{a2^{2} }[/tex]
By substitution we see:
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{3^{2} }{4^{2} }[/tex]
We get:
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{9}{16}[/tex] .
Thus we see that the loudness of wave A is 9Hz while that of wave B is 16Hz. So we conclude that wave B is louder than wave A.
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when light enters a pair of glasses, it when it hits the glasses
Answer:
it is refracted
Explanation:
A 0. 40 kg particle moves under the influence of a single conservative force. At point a where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. What is the value of the potential energy at point b?.
The potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. Hence, the value of the potential energy at point b is -25J.
What is conservative force?A conservative force is one which doesn't depend on the path followed to accomplish its goal of moving a particle between two places. In other words, if a particle moves in a closed loop, a conservative force does no work at all.Solution:Given:
Mass of the particle= 0. 40 kg
Speed=10m/s
Initial workdone =+25J
Initial Potential enrgy=+40J
Now to find the value of the potential energy at point b use the following statement i.e.
∴ The change in potential energy of the given system is the -ve of the internal work done by the conservative force on the particle.
Hence,
ΔU=−W int
ΔU=-(+25J)
ΔU=-25J
Hence, -25Jis the value of the potential energy at point b.
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What is one reason scientists have developed a system to classify organisms
Better identification of novel species is made possible by categorization.
Why would scientists create a system of classification for organisms?Living things are categorised by scientists in order to organise and make sense of the astounding diversity of life. We can better comprehend how different living entities are connected to one another by classifying them.To better comprehend the evolutionary relationships among various creatures, scientists classify organisms according to taxonomy. We may learn the fundamentals about a group of creatures and use that information to our advantage when researching the organism later on by classifying animals that are similar in evolutionary terms.Better identification of novel species is made possible by categorization.To learn more about organisms refer to:
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What two types of energy does a moving bike riding down a hill have?
When riding down a hill, the two types of energy which a moving bike has are kinetic energy and thermal energy.
What is kinetic energy?Kinetic energy is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy. Example of kinetic energy, such as: a race car speeding around the corner, a bicycle crushing down the hill, and students running home from the school.
What is thermal energy?Thermal energy refers to the energy contained within a system which is responsible for its temperature. Heat is the flow of thermal energy. An example of thermal energy is boiling water on the stove.
So, when riding down a hill, a bike has kinetic energy, and when brakes apply, the energy into thermal energy on the brake (heat).
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Scalar and Vector Quantities are both measurements
-True
-False
Answer:
Explanation:
Scalar is the measurement of a unit strictly in magnitude. Vector is a measurement that refers to both the magnitude of the unit and the direction of the movement the unit has taken. In other words, scalar quantity has magnitude, such as size or length, but no particular direction. When it does have a particular direction, it's a vector quantity.
Convert 1.5 days to s
Convert 5.2 ft to m
Convert 3600 s to hr
Convert 10.2 m to ft
Convert 305 g to kg
Convert 180 pm to m
Convert 73 kg to g
Convert 1,366 s to min
Convert 86,000 m to km
Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!
One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 seconds in a day.
What is the formula for days to seconds?The information about how many seconds there are in a minute, how many minutes there are in an hour, and how many hours there are in a day can be used to quickly and efficiently answer this question. The next step is to convert 90 minutes into hours and minutes because there are only 60 minutes in an hour: 90 60 = 1.5 hours. A minute has 60 seconds, thus an hour (60 mins) has 3,600 seconds (60 x 60), and if you multiply that number by three hours, you get 10,800 seconds. Assuming that each month has 30 days, a whole year has 360 days. A different European approach (30E+/360) Date A will be modified if it coincides with the 31st of a given month.To learn more about days to seconds refer to:
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