The magnitude of the magnetic dipole moment of the bar magnet is 1.2 Am²
Magnetic dipole moment of the bar magnet
The magnitude of the magnetic dipole moment of the bar magnet at distance from its axis is calculated as follows;
[tex]B = \frac{2\mu_0m}{4\pi r^3} \\\\m = \frac{4\pi r^3 B}{2\mu_0}[/tex]
where;
B is magnetic fieldm is dipole momentμ is permeability of free spacem = (4π x 0.1³ x 2.4 x 10⁻⁴)/(2 x 4π x 10⁻⁷)
m = 1.2 Am²
The complete question is below:
What is the magnitude of the magnetic dipole moment of the bar magnet from 0.1 m of its axis and magnetic field strength of 2.4 x 10⁻⁴ T.
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A block of mass m on a horizontal frictionless surface is pushed against a spring. If the spring is compressed a distance of x, then the velocity of the object when the spring returns to the equilibrium position is best represented by:
[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex] is the velocity of the object.
What is Law of conservation of energy?It states that energy can neither be created nor destroyed only converted from one form of energy to another.
According to law of conservation of energy:
T.E = Constant.
Also , P.E. = [tex]\frac{1}{2} kx^{2}[/tex] , K.E. = [tex]\frac{1}{2} mv^{2}[/tex]
T.E = P.E + K.E = [tex]\frac{1}{2} mv^{2}[/tex]
According to the question ,
2P.E. = [tex]\frac{1}{2} mv^{2}[/tex]
P.E. = [tex]\frac{mv^{2} }{4} = \frac{1}{2} k x_{0} ^{2}[/tex]
[tex]x_{0} ^2= v^{2} \frac{m}{2k}\\[/tex]
[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]
Therefore, the velocity of the object when the spring returns to the equilibrium position is best represented by [tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]
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A coin is located 35.0 mm from the center of a turntable which accelerates from rest to a speed of 7.95 rad/s in 0.270 s. What is the minimum coefficient of friction to avoid slippage of the coin
The minimum coefficient of friction to avoid slippage of the coin is 0.23.
Minimum coefficient of friction
The minimum coefficient of friction can determined from the maximum speed of the coin.
ma = μmg
mv²/r = μmg
v²/r = μg
v² = μgr
μ = v²/(gr)
μ = (ωr)²/(gr)
μ = ω²r/g
μ = (7.95² x 0.035)/(9.8)
μ = 0.23
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A lab technician needs to clean medical instruments that have been exposed to bacteria. which electromagnetic wave would be most useful for this task? infrared radio ultraviolet microwave
The ultraviolet electromagnetic wave would be most useful for this task.
UV radiation is a well-known method for repressing bacteria that has certain advantages over liquid disinfectants because it may be used to clean surfaces, liquids, the air, and rooms while also operating autonomously and remotely.The disinfection of surface DNA, RNA, and bacteria is accomplished with UV light. Up to 99 percent of surface contamination is removed from research tools, containers, and other items using the UV Clave chamber's highly targeted UV irradiation. Medical instruments that are exposed to bacteria should be cleaned with UV light to remove the bacteria.Microbes are killed or made inactive by UV-C radiation by destroying their deoxyribonucleic acid (DNA).infrared microwave and radio waves will not be effective in removing the contamination and bacteria.
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Answer: Ultraviolet
Explanation: got it right on edge
A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
More stopping force is required when the car has to stop in a shorter distance.
What is the relationship between force and acceleration?Force is directly proportional to acceleration according to Newton's second law of motion.
This means that acceleration increases when force increases.
Stopping of a moving car is negative acceleration.
Therefore, more stopping force is required when the car has to stop in a shorter distance.
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Calculate magnetic field strength current 3a flows in wire 2.5m and produces a force 15n
The magnetic field strength willl be 2 T. A force known as the Lorentz force acts on the charge when it is subject to an electric and magnetic field.
What is Lorentz force?Lorentz force is defined as the force acting on point charge when it is moving in an electric and magnetic field.
The given data in the problem is ;
B is the magnetic field strength =? T.
Current, I =?
L is the length of the wire
The magnetic force is found as;
F= BIL
15 N = B × 3 A × 2.5 m
B = 2 T
Hence, the magnetic field strength willl be 2 T.
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When the light bulb is lit, a current is flowing through it. what condition must be met so that a current flows
Closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.
What are the basic conditions for the flow of electric current?The loop from where the current passes must be closed. There must be some current in the circuit in order to lit the bulb. The medium through which current flows should be a conductor.
So we can conclude that closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.
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Water flows through a pipe. The diameter of the pipe at point b is larger than at point a. Where is the water pressure greatest?.
The water pressure is greatest at point B which has a larger diameter in this scenario.
What is Pressure?This is defined as the force per unit area of a substance with its unit being Pascal.
The larger diameter will have more force acting on the sides which translates to a greater pressure.
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Magnitude is used to show the brightness of one object compared with the brightness of another object with the _____ magnitude of a star referring to a star's brightness as seen from your eyes and _____ magnitude being the actual brightness of a star.
The apparent magnitude of a star refers to its brightness as seen from your eyes and absolute magnitude being the actual brightness of a star.
What is magnitude?Magnitude can be defined as a unitless measure which is used to show the brightness of an object in comparison with the brightness of another object.
Basically, there are two types of magnitude and these include the following:
Apparent magnitudeAbsolute magnitudeIn conclusion, the apparent magnitude of a star refers to its brightness as seen from your eyes and absolute magnitude being the actual brightness of a star.
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I'm pretty sure it's apparent; absolute
A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)
Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
What is gravitational potential energy?The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.
Length of hanging part, L/4
The gravitational potential energy is;
Work = Gravitational potential energy
Work done =force×displacement
[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]
Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.
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6. Yeast needs oxygen to create a chemical reaction in which of the following?
A. Aerobic reactions and anaerobic reactions.
B. Anaerobic reactions only.
C. Fermentation
D. Aerobic reactions only.
Answer:
D
Explanation:
Anaerobic Respiration only
how does the law of the conservation of energy relate to the first law of thermodynamics?
The first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
What is the first law of thermodynamics?The first law of thermodynamics is a popular law in physics that states change in internal energy is equal to the energy added and the work made by a closed system.
Moreover, the law of conservation of energy states that it cannot be created/destroyed in the Universe, which is deeply associated with principles of thermodynamics.
In conclusion, the first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
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The law of the conservation of energy relates to the first law of thermodynamics by the fact that the former forms the basis for the latter.
What is the relationship between the law of conservation of energy and the 1st law of thermodynamics?It follows from the study of physics that the basis for the postulation of the First law of thermodynamics is on the basis of the law of conservation of energy, which states that energy can neither be created nor destroyed, but can be transferred between forms.
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how is the sun bigger from the moon
The Sun is 400 times larger than the Moon, yet since it is 400 times further away from Earth than the Moon, they appear to be the same size in the Earth's sky.
Perform the following mathematical operation and report the answer to the correct number of significant figures 143.6/21.2
Answer:
143.6/21.2
=6.773584906
=6.8
Which statement correctly describes mass-energy equivalence? All energy in the universe will be converted to an equivalent amount of mass. Mass can decrease in nuclear changes without the production of energy. All energy in the universe is a result of mass being converted into energy. A large amount of mass is equivalent to a small amount of energy.
The statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.
What is mass-energy equivalence?The expression mass-energy equivalence refers to the proportion of matter that can be converted into energy in the universe.
This mass-energy equivalence is an outcome of process of converting mass into energy.
In conclusion, the statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.
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Answer:
C
Explanation:
it is easier to drag a stone than to kick it for the same distance. why
Answer:
it is easier to kick a stone than to drag a stone.
Explanation:
the science behind the question is fairly simple.
when you kick and object for say a (rock) you have inertia which is made from you clocking your leg back and swinging it full force forward. when you kick with inertia, you will have a much further travel distance of the object rather than dragging it which is almost set at a certain rate of how fast you are moving (m) and how much inertia you are using by pulling (p)
so m+p=i for inertia. hope this helped
Nepal has high potential for producing hydroelectricity however it is difficult too.
give one reason of each.
Answer:
I'm not a scholar of hydroelectric power in Nepal, so consider my answers carefully, below.
Explanation:
High Potential: Hydroelectric power comes from the potential energy stored in a mass that is above Earth's surface. As the word "hydro" implies, the mass in this case is water. Water from snow and glacier melt, and from normal precipitation (rain) in mountainous regions eventually cascades down the mountains in fast-flowing rivers or waterfalls. Often, there are lakes or man-made reservoirs to collect and store the water before it flows down. Mt. Everest is 8848 meters tall (about 29,000 feet). If a lake forms at just 2,000 meters, one can calculate the amount of energy in each kilogram of water stored in the lake that represents the potential energy available at that altitude. 1 kg of water at 2,000 meters has potential energy, PE, according to the equation: PE = mgh, where m is the mass in kg, g is Earth's acceleration due to gravity (9.8 m/sec^2), and h is height, in meters.
PE = mGH
PE = (1 kg)*(9.8 m/sec^2)*(2,000 meters) = 19,000 kg*m/sec^2
1 kg*m/sec^2 is the SI unit for 1 Joule, a measure of energy.
This potential energy can be converted into electrical energy by releasing the water so that it can flow down to a water-powered turbine that spins magnets and coils of wire that produce electricity. The 19,000 Joules of water potential energy can be converted to electrical power, less any inefficiency in the system, such as friction.
Nepal has the natural advantage in that it has many high mountain ranges with water flows that can be used for generating electrical power. The result is low operating costs (the fuel is the flowing water) and no greenhouse gas emissions
The difficulty in developing hydroelectric power in Nepal is due to the same factor that gives it an advantage: it is difficult constructing large hydroelectric plants in such rough terrain, and the power lines that are needed to transport the power to its destination are expensive and difficult to maintain and repair.
A 7.00 kg bowling ball is held 2.00 m above the ground. using g = 9.80 m/s2, how much energy does the bowling ball have due to its position? 68.6 j 137 j 274 j 960 j
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The potential energy of the bowling ball due to its position above the ground is 137.2 Joules. Therefore, the correct answer is 137 J The correct option is (b).
Given:
mass (m) = 7.00 kg
gravitational acceleration (g) = 9.80 m/s²
height (h) = 2.00 m
The potential energy of the bowling ball due to its position above the ground, we can use the formula for gravitational potential energy:
Potential Energy (PE) = mass × gravitational acceleration × height
The potential energy:
PE = 7.00 × 9.80 × 2.00 m
PE = 137.2 Joules
So, the potential energy of the bowling ball due to its position above the ground is 137.2 Joules. Therefore, the correct answer is 137 J (b).
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What does puddicombe describe as the result of not taking any time out to simply look after our brains?
According to Puddicombe, the result of not taking any time out to simply look after our brains is that:
We get stressed. It also makes us to miss out on the most important things in life.What was Puddicombe's submission?In his popular talk, Puddicombe explained that we have been caught up with the internet and other activities so much so that we do not have time to look out for our brains.
For this reason, we stress our brains and become distant from the most important things in life.
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What is the magnitude of the electric field between the two electrodes in ionization type detectors?
The magnitude of the electric field between the two electrodes in ionization type detectors is an electric field can be given in volts per meter.
How to calculate the magnitude of the electric field?The magnitude of the electric field varies with distance, d, from the charge based on the charge of the respective particle. Therefore, the electric field for a single point charge can be easily calculated from these measured values.
In the International System of Units, the electric field strength is measured in volts per meter (V/m).
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Which statement about polymers is true?
Options below:
-Polymers are substances that have relatively large molecules.
-Oil and gas are the starting materials for making all polymers.
-Fabrics such as cotton and silk are synthetic polymers.
-All polymers are obtained from living organisms.
Answer:
a
Explanation:
Polymers are large molecules which form long chains
Answer: A. Polymers are substances that have relatively large molecules.
Explanation:
Select the correct answer.
Which statement about polymers is true?
A. Polymers are substances that have relatively large molecules.
B. Oil and gas are the starting materials for making all polymers.
C. Fabrics such as cotton and silk are synthetic polymers.
D. All polymers are obtained from living organisms.
Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)
Answer:
8.35 × [tex]10^{-3}[/tex] kg
Explanation:
Remember the formula for heat:
[tex]Q=mc\Delta T[/tex]
You just need to solve for m, doing so you're left with:
[tex]m=\dfrac{Q}{c\Delta T}[/tex]
Replace the variables with numbers and that's it.
A race car rounds a curve at 54 m/s. The radius of the curve is 441 m, and the car’s mass is 610 kg. (Assume that the car’s speed remains constant. Take the radially inward direction to be positive) The car’s acceleration is 6.61 m/s2. What is it in g’s? What is the centripetal force acting on the car?
The car’s acceleration in g’s is equal to 0.67 m/s² and the centripetal force acting on is equal to 4033.47 Newton.
How to calculate the car’s acceleration in g’s?Since the car’s acceleration is given as 6.61 m/s², we would simply divide it by the acceleration due to gravity (9.8 m/s²) to calculate the car’s acceleration in g’s as follows:
Acceleration, g = 6.61/9.8
Acceleration, g = 0.67 m/s².
What is the centripetal force acting on the car?Mathematically, the centripetal force acting on this car can be calculated by using this formula:
Fc = mv²/r
Fc = (610 × 54²)/441
Fc = 1778760/441
Fc = 4033.47 Newton.
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Equation for solving wavelength
Answer:
The equation for wavelength is λ = v/f
Explanation:
λ is wavelength
v = velocity
f = frequency
a quantity that has only magnitude(size) is
Cancer and diabetes are two common hereditary diseases.
True or False?
What will be the ratio between the initial and final kinetic energy of a car, if its velocity is tripled?
A. 1:6
B. 1:7
C. 1:8
D. 1:9
Answer:b
Explanation:
what is the angular displacement of a minute hand of a clock after 3 minutes?
Answer:
π/10 rads
Explanation:
It takes an hour (60 minutes) for the minute's hand to turn a full circle or achieve an angular rotation of
2πl rad.
Now, number of periods of 3 minutes in an hour is;
Number of periods = 60/3 = 20 periods
Thus, 3 minutes rotation accounts for 1/20 of 2π the rotation of the minute's hand in an hour.
Thus;
Angular displacement = (1/20) * 2π = π/10 rads
8. Which of the following represents a chemical change?
A. Decaying food
B. Cutting bread
C. Shaping cookie dough
D. Mixing oil and water
A violin sounds a note of F sharp, with a pitch of 370 Hz. What are the frequencies of the next three harmonics produced with this note?
Answer:
Answer 740 H z, 1110 H z, 1480 H z
Explanation:
The F sharp note (370 Hz) makes the next three harmonics with frequencies of 740 Hz, 1110 Hz, and 1480 Hz, respectively.
It is necessary to have an understanding of the relationship between harmonics and the fundamental frequency in order to calculate the frequencies of the following three harmonics produced by the note F sharp, which has a pitch of 370 Hz.
The fundamental frequency, denoted by f1, is the first harmonic and corresponds to the frequency of the note (F sharp in this example) when it was initially played. Its pitch is 370 hertz.
The fundamental frequency (f1) is multiplied by two to get the second harmonic frequency (f₂), which is written as f₂ = 2 × f1.
The frequency of the third harmonic (f₃) is equal to three times the frequency of the fundamental tone, or f₃ = 3 × f₁.
The frequency of the fourth harmonic, denoted by f₄, is equal to four times the frequency of the fundamental tone. f₄ = 4 × f₁
If we know that the fundamental frequency, or f₁, is 370 hertz, then we can figure out the frequencies of the following three harmonics, which are as follows:
f₂ = 2 × 370 Hz, which equals 740 Hz
f₃ = 3 times 370 Hz, which equals 1110 Hz; f₄ = 4 times 370 Hz, which equals 1480 Hz
Following the frequency of the F sharp note (370 Hz), the next three harmonics produced have frequencies of 740 Hz, 1110 Hz, and 1480 Hz respectively.
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What is the force needed to accelerate a wagon with a mass of 10 kg at a rate
of 2.0 m/s²?
A. 8.0 N
B. 20 N
OC. 12 N
OD. 5.0 N
Answer:
B
Explanation:
Remember:
F = m * a
= 10 * 2 = 20 N
