Four insulated wires overlapping one another, forming a square with 0.050-m sides. The current flowing through the wires is 40 Amperes (A).
To calculate the current (I) flowing through the wires, we can use Ampere's law, which relates the magnetic field created by a current-carrying wire to the current itself.
Ampere's law states that the magnetic field (B) around a closed loop is proportional to the current (I) passing through the loop
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field,
μ₀ is the permeability of free space (4π × [tex]10^{-7}[/tex] T·m/A),
I is the current,
r is the radius or distance from the wire to the point where the magnetic field is measured.
In this case, we have four wires forming a square, and the magnetic field at the center of the square is given as 32.0 µT (or 32.0 × [tex]10^{-6}[/tex] T).
The current in each wire contributes to the total magnetic field at the center of the square. Since the wires overlap and form a closed loop, the magnetic fields from all four wires add up at the center.
To find the current (I), we can rearrange the equation:
I = (B * 2π * r) / μ₀
In this scenario, the magnetic field (B) is given as 32.0 × [tex]10^{-6}[/tex] T, and the radius (r) is the distance from the center of the square to one of the wires, which is half the side length of the square (0.050 m / 2 = 0.025 m).
Substituting these values into the equation
I = (32.0 × [tex]10^{-6}[/tex] T * 2π * 0.025 m) / (4π × [tex]10^{-7}[/tex] T·m/A)
Simplifying the equation:
I = (16.0 × [tex]10^{-6}[/tex] m) / (4× [tex]10^{-7}[/tex] ) A)
I = 40 A
Therefore, the current flowing through the wires is 40 Amperes (A).
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A 0.50 kg mass is attached to a string 1.2 m long and moves in a horizontal circle completing 5 revolution in 1.5 seconds. Calculate:
a) the centripetal acceleration of the mass.?
b) the tension in the string.?
(PLEASE HELP)
The centripetal acceleration of the string is 18.1 m/s². The tension on the string is the sum of its weight and the force by the centripetal acceleration.
What is centripetal acceleration ?Centripetal acceleration is acceleration of a body moving through a circular path. It is related to the velocity and radius as written below;
a = V²/ R
Here v = 5/1.5 sec/60 = 3.3 m/s
R = 1.2/2 = 0.6 m
then a = 3.3 × 3.3 / 0.6 m = 18.1 m/s²
The tension on the string = ma + mg
T = 0.15 kg (18.1 + 9.8 m/s² ) = 13.97 N.
Therefore, the tension acting on the string is 13.97 N.
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Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased? B I U Score: 0/2 5. Increase the number of loops in the coil to
When the number of loops in the coil are decreased then the magnetic field of that solenoid will also decrease as magnetic field is directly proportional to the no of loops or current.
What is solenoid ?An electromagnet referred as a solenoid which creates a regulated magnetic field using a helical coil of wire whose length is significantly higher than its diameter.When an electric current is run through the coil, it can create a consistent magnetic field inside a defined region of space. Which is given by B=μ0nICoil:An electromagnetic coil is a coil-shaped electrical conductor, such as a wire (spiral or helix). In electrical engineering, magnetic coils are utilized in things like electric motors, generators, inductors, electromagnets, transformers, and sensor coils, where electric currents and magnetic fields interact.
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The complete question is:
Set the voltage on the battery to 10V by dragging the slider switch all the way to the right. 4. Now use the control panel to decrease the number of loops in the coil from 4 down to 3, then 2 loops and then 1 loop. What happens to the magnetic field when the number of loops in the coil are decreased?
B I U Score: 0/2 5. Increase the number of loops in the coil to solenoid?
A spaceship in orbit has a kinetic energy of 3.1 Terajoules. How much energy was required for the spaceship to accelerate from a starting speed of 0 m/s to its current speed?
The amount of energy required to accelerate the spaceship from a starting speed of 0 m/s is 3.1 Terajoules.
What is kinetic energy. ?Generally, In the field of physics, the energy that an item holds as a result of the motion that it is engaging in is referred to as its kinetic energy. It is defined as the amount of effort required to get a body of a certain mass from a state of rest to the velocity that is specified.
After gaining this energy throughout its acceleration, the body will keep its kinetic energy unless there is a change in the rate at which it is moving.
The amount of energy required to accelerate a spaceship from a starting speed of 0 m/s to its current speed is equal to its kinetic energy.
In this case, the spaceship has a kinetic energy of 3.1 Terajoules.
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What are the drawbacks of using solar and wind energy?
The disadvantages of using solar and wind energy are:
Intermittency: Solar and wind energy are both intermittent sources of energy and are dependent on the weather for production. They cannot produce energy on cloudy or still days.Cost: Although costs have been decreasing in the past few years, the initial installation costs for both solar and wind energy can be expensive.Efficiency: Solar and wind energy plants are less efficient than traditional power plants, meaning more land and equipment are needed to produce the same amount of energy.Maintenance: Solar and wind plants require regular maintenance to ensure they are functioning properly and safely.Environmental Impact: The construction of solar and wind farms can have a negative impact on the environment, such as disrupting wildlife habitats.Solar and wind energy are renewable energy sources that produce clean, renewable electricity by harvesting the naturally occurring power of the sun and wind.
Solar energy is harnessed with photovoltaic (PV) cells, transforming the sun’s energy into electricity. Wind energy is harvested with wind turbines, which convert the kinetic energy of the wind into electrical energy. Both solar and wind energy are cost-effective, clean, and renewable sources of electricity.
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A pulse covers a distance of 5M in 15 seconds calculate the speed of the pulse
If a pulse covers a distance of 5 meters in 15 seconds, the speed of the pulse is 0.33 meter/second.
What is speed?Speed is characterized as the rate at which an object's position changes in any direction.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Distance covered by pulse = 5 meters.
Time interval = 15 seconds.
So, the speed of the pulse is = Distance covered/ Time interval
= 5 meters / 15 seconds
= 1/3 meter/second
= 0.33 meter/second.
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3. A skydiver started his jump from the airplane. He fell 4.9 m in the 1st second, 14.7 m
in the 2nd second, 24,5 m in the 3rd second. How far did he fall between the 7th and the
10th seconds?
Arithmetic or geometric
The distance between the 7th and the tenth second is 29.4 m.
What is the progression?We know that we can have to formulate the information that has been given here so as to obtain a proper progression and this would help us to get the common difference of the progression that we are looking at.
Now we know that the progression would look something like; 4.9, 14.7, 24.5 ....
We can see that this is an arithmetic progression that has a common difference of 9.8.
U7 = a + (n - 1)d
a = first term
n = Number of terms
d = common difference
U7 = 4.9 + (7 - 1) 9.8
= 63.7
U10 = 4.9 + (10 - 1) 9.8
U10 = 93.1
Between the 7th and 10th seconds, we have;
93.1 - 63.7
= 29.4 m
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The Effect of Gamma Rays on Man-in-the-Moon Marigolds is .
The Effect of Gamma Rays on Man-in-the-Moon Marigolds is Paul Zindel ’s best-known play.
The γ-rays mainly scatter off electrons within materials, and they randomly penetrate to some variable depth of material before their interaction. Scattering of γ-rays is itself a random process with a wide spectrum of possible results, averaging to the distributions presented above when many interactions are summed.
The individual fate of a γ-ray photon in a material is not predictable. Moreover, scattering of incident γ-ray photons will generally be incoherent, i.e. the scattered photons are unrelated, and do not form, e.g., patterns of diffraction.
The wave description of electromagnetic interactions with matter is inappropriate; we apply a particle interaction model instead.Photoelectric absorption: Atomic electrons are removed from their nuclei, thus reducing the energy of the γ-ray photon by the electron’s binding energy. This is the dominant process at energies below 100 keV.
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A long string is pulled so that the tension in it increases by a factor of three. If the change in length is negligible, by what factor does the wave speed change?.
The wave speed in a string is proportional to the square root of the tension. Therefore, if the tension increases by a factor of three, the wave speed will also increase by a factor of the square root of three (√3), which is approximately 1.73.
The wave speed in a string is determined by the properties of the string, such as its tension, mass density, and elasticity. When the tension in a string increases, the wave speed will also increase, as the string is able to transmit waves more efficiently.
The relationship between tension and wave speed is given by the equation v = √(T/μ), where v is the wave speed, T is the tension, and μ is the mass density of the string. Therefore, if the tension in a string increases by a factor of three, the wave speed will also increase by a factor of the square root of three, which is approximately 1.73. It's important to note that this is true if the change in length is negligible.
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Find the work done by the force on the particle as it moves across the following distances in Joules. (a) from x
Answer:
The objective was to find a campground before dark, but Maria and I were too enchanted with the forest to retain any sense of urgency. We were surrounded by Douglas Firs, which we'd learned could survive for hundreds of years. They shot up into the sky, their foliage blotting out the sunlight. Their massive red-brown trunks were wider than Maria and I when we stood side-by-side. We'd actually found one especially large Fir that had blown down over the winter. The hole left by its roots was about the size of a one-car garage.
I was whistling a tune, my eyes on the trees, when Maria pointed out a scrap of white paper. She picked it up. It was a candy bar wrapper.
"Litter bugs," I said, shaking my head. I couldn't understand how a fellow camper could be so careless.
Further down the trail, Maria spotted another wrapper: This time it was a package of rice, torn-open. Beyond that was a half-empty package of trail mix, upturned in the dirt. A trail of rice and nuts led into the woods.
"Let's pick this stuff up," Maria said. "That'll be our good deed for the day."
Maria spent the remainder of the hike picking up various half-eaten foods and trash. Meanwhile, I took photos of the trees. Eventually we came to a treacherous bridge overlooking a waterfall. The campground, I knew, would be on the other side of the bridge. This was a good thing: It was already dusk, and setting up the tent in total dark would have been difficult.
We arrived at the campground, ready to lecture the litter bugs that we imagined would have arrived before us. We were surprised to find the whole place uninhabited. Near the river bank, we found a flat area sheltered by trees. I was unfurling the tent when I heard a noise. I turned to Maria to ask her if she'd heard the noise, but the look on her face told me she had. Her eyes were wide with fright. She pointed at a spot in the bushes, and it was then that I saw the bear. It was foraging in the trees, and it had something in its mouth.
To my relief, it scampered off and disappeared. But not before it dropped the thing that it'd had in its mouth. It was an empty package of peanuts.
8
What is the best summary of the passage?
A.
Out in a forest, Maria and the narrator admire the Douglas Firs that are supposed to survive for hundreds of years. They search for a place where they can camp, and on the way they find a lot of trash. Maria picks up the trash, while the narrator takes pictures of the trees, and soon, they arrive at an uninhabited campground. While fixing the tent, they spot a bear in the bushes.
B.
Maria and the narrator are hiking in the forest and looking for a place to camp. They spot some Douglas Firs and are so enchanted by their beauty that they forget about their campground. After picking up trash from the forest and taking pictures, they come to a treacherous-looking bridge, and on the other side, they find a campground which is uninhabited.
C.
While looking for a campground, Maria and the narrator admire the Douglas Firs in the forest. On their way, they find a trail of half-eaten food, and Maria picks up the trash while the narrator takes pictures of the trees. Finally, they arrive at an uninhabited campground, and when they spot a bear near the bushes, it drops an empty package of peanuts and scampers away.
D.
While looking for a campground in the forest, Maria and the narrator spot a lot of trash, including candy wrappers and rice packets. They begin to collect the trash, and later when they spot some Douglas Firs, they become so enchanted by their beauty that they forget about their campground. Finally, they reach a place where they spot a bear.
Use the concepts of work and energy to solve the following: You are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
Work is equal to energy. Since your braking distance is 10.8 m. you will not stop before you hit the oil spill
What is Energy ?Energy is the ability to do work. The work done on an object is tantamount to energy used on the object.
If you are first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
By using the concepts of work and energy, that is,
1/2mv² = F × s
Where
m = 5 kgv = 5.5 m/sF = 7 Ns = ?Substitute all the parameters into the formula
1/2 × 5 × 5.5² = 7 × s
75.625 = 7s
s = 75.625/7
s = 10.8 m
Since the calculated distance is greater than the given distance (10 m), you will not stop before you hit the oil spill. And your braking distance will be 10.8 m
Therefore, you will not stop before you hit the oil spill.
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What is the magnitude of the force on the electron?
The magnitude of the force on the electron is Fel = KeQe²/r²
In a hydrogen atom, the electron and proton are separated by r = 0.53 × 10⁻¹⁰ m.
The electric force exerted on the electron has a magnitude equal to Fel = KeQe²/r².
When an electron's velocity v is perpendicular to B, the magnetic force acting on it has a maximum value of Fmag = QevB.
Calculation information:
KeQe²/r² = 9 × 10⁹ × (1.6 × 10⁻¹⁹) = Fel
2 ÷ (0.53 × 10⁻¹⁰)² N = 8.2 × 10⁻⁸ N.
Fmag equals qevB, which is 1.6 × 10⁻¹⁹ × 2.2 × 10⁶ × 10⁸ N or 3.5 × 10⁻⁵ N.
The maximal magnetic force acting on an electron is more than a million times stronger than its electric counterpart. On a neutron star's surface, hydrogen atoms are predicted to be severely distorted or destroyed.
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A man drag a 10. 0 kg bag of mulch at a contant peed applying a 22. 5 N force at a 32-degree angle. What i the friction force acting on the bag?
The friction force acting on the bag is 19.1 N. The result is obtained by using Newton's first law.
What is Newton's first law?Newton's first law states that every object will remain at rest or keep constantly moving in a straight line unless an external force acts upon it.
The equation of Newton's first law can be expressed as
∑F = 0
Where ∑F is net force.
A man drag a bag of mulch at a constant speed.
The given parameters are
m = 10.00 kgF = 22.5 Nθ = 32°Find the friction force (fs) acting the bag!
See the illustration picture in the attachment!
We calculate the parallel forces to find fs.
The mulch is moving at a constant speed. It means that the net force is zero.
∑F = 0
F cos θ - fs = 0
F cos θ = fs
fs = 22.5 × cos 32°
fs = 22.5 × 0.85
fs = 19.1 N
Hence, the friction force is 19.1 N.
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Two negatively charged objects exert a force on each other. Describe the force between the objects, and describe two ways to increase the force between them.
Answer:
is a
Explanation:
A dart is fired horizontally from a dart gun, and
another dart is dropped simultaneously from the
same height. If air resistance can be neglected,
which dart hits the ground first?
Both the darts hits the ground at the same time, because acceleration is the same.
Why is air resistance a force?
Italian physicist Galileo Galilei, who is extremely well-known, discovered air resistance. He climbed to the top of the Leaning Tower of Pisa and threw numerous articles from the height.When an object moves through air, air creates a force known as air resistance. A body moving through the air will experience this force acting in the opposite direction. The moving body is frictionally forced against by air resistance. Air resistance slows a body down as it moves.A moving body's direction can be changed by air resistance, which has both strength and direction.The air resistance asserts that the air density () determines the force's size. The average value for this is 1.2 kg/m3.To learn more about air resistance refer to:
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A hot-air balloon is descending at a rate of 1.7 m/s when a passenger drops a camera.
If the camera is 43 m above the ground when it is dropped, how much time does it take for the camera to reach the ground?
If the camera is 43 m above the ground when it is dropped, what is its velocity just before it lands? Let upward be the positive direction for this problem.
The required solutions of both part of the question are a) t = 2.83 s, b) 27.7 m/s.
What is equation of motion?The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.
According to question:
a.) Before commencing the calculation, we need to specify the information.
Data:
acceleration dues to gravity, g = 9.81 m/s²
initial velocity u = 1.7 m/s
height, s = 45 m
t = ?
The formula for finding the distance is s = ut + 1/2at²
Therefore, 45 = 2t + 1/2×(9.81) ×t²
90 = 4t + 9.81 t²
Solving for t by the quadratic equation gives t = 2.83 s [Note the other negative value for t is rejected because there is no negative time]
b) The final velocity is given by the following equation:
v = u + at
where v = final velocity just before the camera lands on the ground
u = initial velocity
t = time taken
a = g = acceleration dues to gravity = 9.81 m/s²
Calculating gives
v = 2 + 9.81×2.83
= 27.7 m/s Ans
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When the electric field is zero at all points in any region of space?
In any region of space, the electric field is always zero.
This means that the electric field is unable to exert any force on an electric charge, making it impossible for the electric charge to accelerate or move in that region.
This phenomenon is known as electrostatic equilibrium and is an important principle in understanding the behavior of electric fields and charges.
When the electric field is zero at all points in any given region of space, this means that the electric field is not present and there is no movement of electric charge in that region.
This can be due to a lack of electric charge, or it can be due to the presence of an equal but opposite electric field that cancels out the electric field in that region.
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Look at the diagram below. It shows a metal. Which of the particles in the metal, X or Y, is free to move and transfer energy?
Metals' complex structures account for their high melting and boiling temperatures as well as their conductivity. A metal's characteristics can be changed by adding another substance to it to create an alloy.
What metal possesses the maximum conductivity?Of all the metals, silver has the highest electrical conductivity. In actuality, silver is the standard by which conductivity in all other metals is measured. Silver ranks 100 on a scale of 0 to 100, followed by copper at 97 and gold at 76.
Why do metals conduct electricity?Due to the fact that the atoms in metals form a matrix through which outside electrons can easily travel, metals are efficient conductors of both electricity and heat. They produce a sea of electrons surrounding the positive nuclei of the interacting metal ions rather than orbiting their individual atoms.
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A set of physics exam scores are normally distributed with a mean of 808080 points and a standard deviation of 666 points. Irina got a score of 959595 points on the exam. What proportion of exam scores are lower than irina's score?.
A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6 points. Irina got a score of 95points on the exam. The proportion of exam scores are lower than irina's score is 0.9938
80 points on average
6 points is the standard deviation (sd).
95 points are needed to calculate the z-score for the value of interest (x):
Z = (X-Mean-SD)
z = (95 - 80)/6 = 2.5
We're looking for:
P(z < 2.5)
From the accompanying table:
P(z < 2.5) = 0.9938
As a result, a set of physics exam results have a mean of 80 points and a standard deviation of 6 points, which is considered to be regularly distributed. Irina passed the test with a score of 95. Exam percentage with lower scores than Irina's
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Part A
Choose the correct SI form for kN/ms.
a. MN/s
b. mN/s
c. GN/s
d. N/s
mN/s is the correct SI form for kN/ms.
Hence, Option B is correct.
Système Internationale, or SI, is the abbreviation for our metric system of measurements. It is a system that has been universally standardized, providing a common language between countries and among the various branches of science and technology. The International System of Units (SI), also known as the French Système International d'Unités, is a weights-and-measures system used internationally that extends the metric system of units. The metric system, also known as the International System of Units (SI), is the accepted unit of measurement on a global scale. The International Treaty of the Meter was signed on May 20, 1875, in Paris by seventeen nations, including the United States, and is now recognized as World Metrology Day worldwide.
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Which of the following best defines the scientific methodA. It is a way of allowing people to make assumptions about the world.B. It is a system of that only scientist can use inside the laboratory.C. It is a series of organized steps that one can use to answer a question or solve a problem.D. It is a process through which scientist can turn their observations into facts
Answer: The correct answer is C. It is a series of organized steps that one can use to answer a question or solve a problem
Explanation: The scientific method is a system of gathering and analyzing data that is used to answer questions and form theories. It includes steps such as formulating hypotheses, conducting experiments, collecting data, analyzing data, and forming conclusions. It is a useful tool for scientists to investigate and understand the world around them.
the waves used by a microwave oven to cook food have a frequency of 2.45 ×10^9 hz calculate the wavelength of this type of wave
The wavelength of the microwave is 0.12 m.
What is the wavelength of the microwave?
The wavelength of the microwave is calculated by applying the relationship between speed of light, frequency and the wavelength.
Mathematically, the formula for the relationship between speed of light, frequency and the wavelength is given as;
λ = c / f
where;
c is the speed of lightf is the frequency of the waveλ is the wavelength of the microwaveThe wavelength of the microwave is calculated as;
λ = ( 3 x 10⁸ ) / ( 2.45 x 10⁹ )
λ = 0.12 m
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Calculate the weight of the body of mass 500 g. (Take g =10 m / s 2)
“Roller coasters scare me, but only when they are accelerating,” a friend says. “Once they start slowing down, I’m fine.” How would you respond to this statement?
The friend feels scared when the roller coasters falling down but he is fine during uphill. This is natural.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
The friend says that roller coasters scare him, but only when they are accelerating and adds that once they start slowing down, he is fine. It refers that he feels scared when the roller coasters falling down but he is fine during uphill. This is natural.
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A car accelerates uniformly from rest and reaches a speed of 21.4 m/s in 5.1 s. The diameter of a tire is 38.2 cm. Find the number of revolutions the tire makes during this motion, assuming no slipping
To find the number of revolutions the tire makes during this motion, we need to calculate the distance traveled by the tire and divide it by the diameter of the tire.
First, we need to find the distance traveled. This can be calculated using the formula:
distance = (initial velocity + final velocity)/2 * time = (0 + 21.4 m/s)/2 * 5.1s = 110.7m
Next, we need to convert the diameter of the tire from cm to m.
diameter = 38.2 cm / 100 cm/m = 0.382 m
Now we can calculate the number of revolutions by dividing the distance traveled by the diameter of the tire:
revolutions = distance / diameter = 110.7m / 0.382 m = 290.64
Therefore, the tire makes 290.64 revolutions during this motion
Note that it is assuming that the tire is not slipping. When the tire is slipping, this result can be different.
How is MLA citation arranged?
MLA citations typically include:
the author's namethe title of the sourcethe publication informationFor example, the following is the correct MLA citation for a journal article:
Author Last Name, First Name. “Article Title.” Journal Title, vol. #, no. #, date, pp. #-#. Database Name, DOI or URL.
The correct use of citations in MLA format is an important part of any written research paper. It is designed to help readers find the original materials the author used for his or her research. Citations also give the reader an idea of what is found in the material. This helps readers determine if they want to read the material for themselves.
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What is the relationship between angle of incidence and angle of reflection in a plane mirror
In a plane mirror, the angle of equal to the angle in reflection both are identical. The law of reflection refers to this.
What is law of reflection?The law of reflection states that when a wave reflects off a surface, the angle of incidence is equal to the angle of reflection. This law applies to all types of waves, including light, sound and water. The incident wave and the reflected wave lie in the same plane, with the angle of incidence being measured between the incident wave and the normal vector (a line perpendicular to the surface of reflection). The normal vector and the reflected wave form the angle of reflection.
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In a physics lab experiment, a compressed spring launches a 20 g metal ball
The speed of the metal ball is 4.47 m/s.
What is the speed of the metal ball?
The speed of the metal ball is calculated by applying the principle of conservation of energy as shown below.
stored elastic potential energy of the spring = kinetic energy of the metal ball
U = ¹/₂mv²
where;
m is the mass of the metal ballv is the speed of the metal ballv² = ( 2U ) / m
v = √ [ ( 2U ) / m ]
The speed of the metal ball is calculated as follows;
v = √ [ ( 2 x 0.2 ) / 0.02 ]
v = 4.47 m/s
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The complete question is below:
In a physics lab experiment, a compressed spring launches a 20 g metal ball, find the speed of the metal ball if the elastic energy of the spring is 200 J.
A metal sphere as a charge of +2.3 x 10 ^-6 C and lies 2 meters away from another metal sphere of unknown charge.
If the attractive force present between the spheres is 0.05 N, what is the charge on the second sphere?
The charge on the second sphere is -9.6×10⁻⁶ C.
Describe Coulomb's Law.The force of attraction or repulsion between two charged things is directly proportional to the product of their charges and inversely proportional to the square of their distance, according to Coulomb's law.
Given, Q1 = +2.3 x 10⁻⁶ C
distance, r = 2m
attraction force, Fa = 0.05N
now by using Coulombs law,
Fa = k×Q1×Q2/r
0.05 = 9×10⁹×2.3 x 10⁻⁶ × Q2 /2
Q2 = 2×0.05/ 9×10⁹×2.3 x 10⁻⁶
Q2 = 9.6×10⁻⁶ C.
Since it is an attractive force therefore charges will be opposite,
The charge on the second sphere is -9.6×10⁻⁶ C.
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A block of mass M is released from rest at point , as shown in the figure. The block slides without frictional forces along the circular arc but encounters frictional forces as soon as it reaches the horizontal portion of the track at point 2. The block travels a distance D along the horizontal track before coming to rest at point 3. Consider the block- Earth system. In terms of the mechanical energy of the system, which of the following claims is correct, and why?
The correct claim that represents the mechanical energy of the system is that the system is open, because there is a net force exerted on the block.
What is mechanical energy?Mechanical energy (kinetic energy or potential energy) is the energy of a moving object or the energy stored in objects due to their position. Mechanical energy is another source of renewable energy. In an open system, force is applied directly on an object.
Objects have mechanical energy if they are moving and/or are in a specific position relative to the surface. A box held vertically above the ground, for example, will have only potential energy. A moving vehicle has mechanical energy due to its motion, which is known as kinetic energy.
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A cart weighing 10 newtons is pushed 10 meters on a level surface by a force of 5 newtons. What is the increase in its potential energy?.
The increase in its potential energy is zero.
Potential energy is only transferred when matter is moved in the direction of a conserving force. These include the force of gravity, the force of an electric field, and the force exerted by a spring or other elastic material.
If an object's height does not change, then there will be no increase in potential energy. There is no conservatism in friction. That's why there wouldn't be any change in potential energy if the aforementioned motion took place against a frictional force. The only form of energy change that would occur is an increase in kinetic energy, as the motion indicated above would cause the object's speed to change.
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