To understand the origin of the torque on a current loop due to the magnetic forces on the current-carrying wires.
This problem will show you how to calculate the torque on a magnetic dipole in a uniform magnetic field. We start with a rectangular current loop, the shape of which allows us to calculate the Lorentz forces explicitly. Then we generalize our result. Even if you already know the general formula to solve this problem, you might find it instructive to discover where it comes from.
a) Give a more general expression for the magnitude of the torque τ. Rewrite the answer found in Part A in terms of the magnitude of the magnetic dipole moment of the current loop m. Define the angle between the vector perpendicular to the plane of the coil and the magnetic field to be ϕ, noting that this angle is the complement of angle θ in Part A.
Give your answer in terms of the magnetic moment m, magnetic field B, and ϕ.
Answer:
The torque is [tex]\tau = B * m sin(\phi )[/tex]
Explanation:
Generally when current flow through a rectangular loop the magnetic dipole generated we can denote this as [tex]\vec m[/tex]
Here k is the length of the side of one side of the rectangular loop
Now when this loop is place in a magnetic field, the torque it experience is mathematically represented as
[tex]\vec \tau = \vec B \ X \ \vec m[/tex]
Here X stands for cross - product
From the question we are told that the angle between the vector ( [tex]\vec m[/tex])perpendicular to the plane of the coil and magnetic field(B) as [tex]\phi[/tex]
So
=> [tex]\tau = B * m sin(\phi )[/tex]
2.
The inertia of an object depends on its
Answer:
Inertia of an object depends on the mass of the object.
Explanation:
Inertia is the property that is possessed by a matter( anything that has weight and occupies space) that enables it to be at rest or in a state of continuous uniform motion.
The inertial of a body is the resistance that is present in the body, that forces acting on the body have to overcome for the body to move or continue moving.
The inertia of a body depends on the mass of such a body, which is directly proportional. The mass of an object is the measure of inertia, the bigger the mass of an object the bigger the inertia.
Therefore the Inertia of an object is largely dependent on the mass of such an object.
We know the moon circulates the Earth. Suppose the mass of the Earth and moon are 5.9742 x1024 kg and 7.36 x 1022 kg, whereas the radius of the orbit is 382171 km. What will the gravitational force between the Earth and the moon?
Answer:
The gravitational force between two objects, one of mass M1 and the other of mass M2, is:
F = G*M1*M2/R^2
Where G is a constant:
G = 6.6x10^11 m^3*/(kg*s^2)
And R is the distance between the two objects.
M1 = 5.9742x10^24 kg
M2 = 7.36x10^22 kg
R = 382171 km = 382171000 m
Then the gravitational force is:
F = 6.6x10^-11 m^3*/(kg*s^2)*(5.9742x10^24 kg)*(7.36x10^22 kg)/(382171000 m)^2
F = 1.987x10^20 N
Which of the following is a benefit of physical activity?
Answer:
B
Explanation:
better concentration
Which mathematical statement shows the relationship between gravity and mass?
Answer
F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)
Step-by-step explanation:
Force of gravity (F) = Mass (M) × Gravitational acceleration (G)
The weight of an abject is equal to its gravitational force!
Explanation:
Answer:
[tex]F_{g} = \frac{m}{d^{2} }[/tex] shows the relationship between gravity and mass.
Explanation:
According to the Newton's law of gravitation, the gravitational force between two bodies is,
[tex]F_{g} = G.\frac{m_{1}.m_{2} }{d^{2} }[/tex]
here [tex]m_{1} and m_{2}[/tex] are masses, d is distance between them.
What is Newton's law of Gravitation ?It states that gravitational force acting two bodies is directly proportional to the product of masses and inversely proportional to the square of the distance between them.
In above formula ,
If [tex]m_{1} = 1 and[/tex] [tex]m_{2} = m[/tex]
so [tex]F_{g} = G \frac{m}{d^{2} }[/tex]
Since G is constant ,
[tex]F_{g}[/tex] ∝[tex]\frac{m}{d^{2} }[/tex]
Hence second option is correctly showing relationship between gravity and mass.
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The equation Upper E equals StartFraction 1 Over 2 pi epsilon Subscript 0 EndFraction StartFraction q d Over z Superscript 3 EndFraction is approximation of the magnitude of the electric field of an electric dipole, at points along the dipole axis. Consider a point P on that axis at distance z = 23.00d from the dipole center (d is the separation distance between the particles of the dipole). Let Eappr be the magnitude of the field at point P as approximated by the equations below. Let Eact be the actual magnitude. What is the ratio Eappr /Eact?
Answer:
E_aprox = 1.003 E_real
Explanation:
In this exercise we are given the expression for the electric field of a dipole in the axis direction of the dipole
E_real = k 2q d / √(z² + d²)³
I think your equation has some errors.
In this case they indicate that d is the separation of the charges of the dipole
in the case of z »d this equations approximates
E_aprox = k 2q d/ z³
calculate the value for the two cases
E_real = k2q d / √[ ((23d)² + d²)³]
E_real = k2q d / d³ 12201
E_real = k2q 1/12201 d²
E_aprox = k2q d / (23.00d)³
E_aprox = k2q 1/12167 d²
the error between these quantities is
E_aprox / E_real = 12201 d² / 12167 d²
E_aprox / E_real = 1.003
E_aprox = 1.003 E_real
What is the relative humidity if the dry-bulb temperature is 18°C and the wet-bulb temperature is 11°C?
Answer:
The amount of moisture air can hold is dependent on its temperature and pressure. The warmer the air the greater the quantity of water vapour it can contain. The air temperature is measured with a normal thermometer this is the Dry-Bulb reading. The actual amount of moisture known as the mixing ratio is measured in grams of water per kilogram of dry air. When air at a certain temperature is saturated it cannot hold any more moisture. The relative humidity of the air is the ratio of the actual amount of moisture in the air to the fully saturated amount.
We can use evaporation to measure the amount of moisture in the air. A wet cloth is placed over the bulb of a thermometer and then air is blown over the cloth causing the water to evaporate. Since evaporation takes up heat, the thermometer will cool to a lower temperature than a thermometer with a dry bulb at the same time and place. The depression in Wet-Bulb temperature allows the humidity to be calculated. If the air is fully saturated (100% relative humidity) the water cannot evaporate, so both the wet and dry bulb temperatures are the same. If the dry and wet bulb temperatures are set to the same value the calculator will show the saturation mixing ratio the amount of water in saturated air at that temperature.
If partly saturated air is cooled without changing its pressure or amount of water vapour, a point is reached when it becomes saturated. The moisture will be given up as dew or ice crystals. This temperature is the Dew Point. This is why condensation will form on a bottle of cold beer, as the air in the vicinity of the bottle is cooled below its dew point. Meteorological reports usually quote the temperature and dew point as well as the station pressure. Moisture content and relative humidity can be calculated from these figures.
The Psychrometer is the name of a device containing both a wet and dry bulb thermometer. This can be a fixed device for meteorology or a handheld sling psychrometer that is often used in air conditioning applications.
Explanation:
how is the atmospheric pressure detected
Answer:
The air around you has weight, and it presses against everything it touches. That pressure is called atmospheric pressure, or air pressure. It is the force exerted on a surface by the air above it as gravity pulls it to Earth.
Atmospheric pressure is commonly measured with a barometer. In a barometer, a column of mercury in a glass tube rises or falls as the weight of the atmosphere changes. Meteorologists describe the atmospheric pressure by how high the mercury rises.
An atmosphere (atm) is a unit of measurement equal to the average air pressure at sea level at a temperature of 15 degrees Celsius (59 degrees Fahrenheit). One atmosphere is 1,013 millibars, or 760 millimeters (29.92 inches) of mercury.
Atmospheric pressure drops as altitude increases. The atmospheric pressure on Denali, Alaska, is about half that of Honolulu, Hawai'i. Honolulu is a city at sea level. Denali, also known as Mount McKinley, is the highest peak in North America.
Explanation:
12. A screwdriver is which type of a simple machine?
O wedge
O screw
O wheel and axle
O lever
Answer:
wheel and axle
Explanation:
hope this helps
A student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω. How much current flows through the circuit?
Answer:
0.3
Explanation:
V = I R
1.5= I (50)
I = 1.5/50
I = 0.3 J
If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω, then the current flows through the circuit would be 0.12 Amperes.
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.
V = IR
As given in the problem If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω.
V = IR
6 = 50 × I
I = 0.12 ampere
Thus, the current flowing through the circuit would be 0.12 ampere.
link given below ;
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Jack bought 8 boxes of soda. how many cans did he buy if each box holds 34 cans?
Answer:
272
Explanation:
hope this helps you!!!
A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the total distance walked by the hiker?
Answer:
22 km
Explanation:
11km + 11km= 22km
Which of the following is TRUE about velocity?
a if velocity changes the object could be speeding up
b if velocity changes the object could be slowing down
c an object with constant velocity is at rest
d Constant velocity is velocity that doesn’t change
e if velocity changes it is accelerating
Answer:
A
Explanation:
Velocity is when something fast moves
I hope i helped
PLEASE HELP 2 or 3 SENTENCES PLSLSLSLSL
How have scientists, inventors and / or engineers used the properties of States of Matter to benefit our society?
Answer:
threy need to do it. becuse they do
Explanation:
What defines an element?
energy levels
electrons
neutrons
protons
The Boston Tea Party was an act of civil disobedience by those who believed the Crown to be abusing its power to do what?
They were upset because the British were taxing them without any represeetatio in paliatment.
what is the definition of physics?
A.the study of living organisms, divided into many specialized fields that cover their morphology, physiology, anatomy, behavior, origin, and distribution
B.the branch of science that deals with the identification of the substance of which matter is composed
C.the branch of science concerned with the nature and properties of matter and energy
D.the branch that deals with the relations of organisms to one another and to their physical surroundings
Answer:
your answer should be c
Answer:
D.the branch that deals with the relations of organisms to one another and to their physical surroundings
A toy car, initially travelling in a straight line at 30.0 cm/s, slows down with a constant linear acceleration of 3.0 cm/s2. How much time passes before the toy car comes to a halt?
Answer:
The toy car stops after 10 seconds.
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes uniformly at a rate called acceleration.
Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at\qquad\qquad [1][/tex]
The toy car moves at vo=30 cm/s and decelerates at [tex]a=-3\ cm/s^2[/tex]. Note the negative sign of the acceleration that indicates the speed is decreasing over time.
We need to calculate the time needed for the toy car to stop vf=0.
To find the time, we solve [1] for t:
[tex]\displaystyle t=\frac{v_f-v_o}{a}[/tex]
Since all the units of speed and acceleration are in centimeters, we don't need to convert to meters
[tex]\displaystyle t=\frac{0-30}{-3}=10[/tex]
The toy car stops after 10 seconds.
How long would it take to swim across a lake that is 350 meters, if you swam at 9 m/sec
Answer:
[tex]\boxed {\tt t\approx 38.89 \ s}[/tex]
Explanation:
Time can be found by dividing the distance by the speed.
[tex]t=\frac{d}{s}[/tex]
The distance is 350 meters.
The speed is 9 meters per second.
[tex]d= 350 \ m \\s= 9 \ m/s[/tex]
Substitute the values into the formula.
[tex]t=\frac{350 \ m}{9 \ m/s}[/tex]
Divide. Note that the meters or "m" will cancel each other out and the seconds or "s" will move to the numerator.
[tex]t=\frac{350 }{9 \ s}[/tex]
[tex]t=\frac{350 \ s}{9}[/tex]
[tex]t=38.8888889 \ s[/tex]
Round to the nearest hundredth. The 8 in the thousandth place tells us to round the 8 to a 9.
[tex]t \approx38.89 \ s[/tex]
It will take about 38.89 seconds to swim 350 meters at 9 meters per second.
What is special about decomposers? *
a. they are autotrophs that absorb nutrients that have been digested outside their bodies.
b. they are heterotrophs that absorb nutrients that have been digested outside their bodies.
c. they are autotrophs that digest food internally (inside their bodies)
d. they are heterotrophs that digest food internally (inside their bodies)
According to Darwin's theory of evolution, in which order do the steps of natural selection happen?
Some members of a population survive and reproduce their environment or location changes, and favorable traits
are passed on to offspring.
O A population's environment or location changes, some members survive and reproduce, and favorable traits are
passed on to offspring.
Favorable traits are passed on to offspring in a population, some members survive and reproduce, and the
environment or location changes.
Some members of a population survive and reproduce, favorable traits are passed on to offspring, and their
environment or location changes.
PLEASE HELP FAST!!
Answer:
The correct answer is B.
Explanation:
Darwin's theory of evolution is "A population’s environment or location changes, some members survive and reproduce, and favorable traits are passed on to offspring." So it's Option B.
Hopefully, this helps! :D
Ask your question below!
Answer:
B.
Explanation:
It's right in edge
how many tennis balls are in 8 bags if each bag holds 25 tennis balls.
The answer is 200, 200 tennis balls would be in 8 bags if they each held 25.
Answer:
200 balls
Explanation:
Does horizontal motion have any formula?
Name the material used to transfer of charges from one body to other
Answer:
conductor
Explanation:
A "conductor" is a material that allows the charges to pass freely from one body to the other. This causes a movement among the electrons and this means that the charge will be passed entirely to the object receiving it. This is also called "conductive material."
Examples of conductors are: copper, aluminum, gold, silver, seawater, etc.
The opposite of conductors are called "insulators." These do not allow the free movement of charges from one object to the other.
Examples of insulators: plastic, rubber, paper, glass, wool, dry air, etc.
Answer:
conductor
Explanation:
a soccer ball is kicked horizontally off a cliff with an initial speed of 8 m/s and lands 16 m from the base of the cliff What is the time of flight of the soccer ball?
The time of flight of the soccer ball is 2 seconds.
Given the following data:
Initial speed = 8 m/sDisplacement = 16 meters.To find the time of flight of the soccer ball;
Mathematically, the time of flight for a horizontal displacement is given by the formula;
[tex]Time \;of \;flight = \frac{Displacement}{Initial \; velocity}[/tex]
Substituting the values into the formula, we have;
[tex]Time \;of \;flight = \frac{16}{8}[/tex]
Time of flight = 2 seconds.
Therefore, the time of flight of the soccer ball is 2 seconds.
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Out of these people who r ur favs?
WilburSoot
TommyInnit
Tubbo
Fundy
Sapnap
Dream
GeorgeNotFound
Quackity
Jschalt
Nikki
Ponk
Skeppy
BBH
Punz
aweSAMedude
HiBomb
TechnoBlade
Answer:
Is it a sin to like them all...? haha
Answer:
Schlatt, Nikki, Tubbo, and Wilbur :O
Explanation:
how is this a question lol-
Momentum is usually not exactly conserved in a real world demonstration of momentum conservation. What is a possible reason for this fact?
Answer:
For any collision occurring in an isolated system, momentum is conserved. The total amount of momentum of the collection of objects in the system is the same before the collision as after the collision.
Explanation:
Hope this helps
WILL MARK BRANLIEST PLZ HELP FAST
Answer The Questions Based on The Graph
1. Which limiting factor(s) in this lab simulation are biotic?
2. Which limiting factor(s) in this lab simulation are abiotic?
3. Which limiting factor impacted the cricket frog population the most? Use evidence to support your answer.
4. Which limiting factor impacted the cricket frog population the least? Use evidence to support your answer.
5. Mosquitoes can carry and transmit disease to animals and humans. Explain how the cricket frog plays an important role in limiting the spread of mosquito-borne illnesses like West Nile virus and malaria.
6. Predict the long-term effects of these limiting factors on the cricket frog population in the pond ecosystem.
Answer:
1. Which limiting factor(s) in this lab simulation are biotic?
The limiting factors in this lab that are biotic are predators and food.
2. Which limiting factor(s) in this lab simulation are abiotic?
The limiting factor in this lab that is abiotic is pollution.
3. Which limiting factor impacted the cricket frog population the most? Use evidence to support your answer.
The limiting factor that impacted the cricket frog population the most is the predators because the population went to 90K and then all the way down to 15K.
4. Which limiting factor impacted the cricket frog population the least? Use evidence to support your answer.
The limiting factor that impacted the cricket frog population the least is pollution because it stayed the same then went down to 35K.
5. Mosquitoes can carry and transmit disease to animals and humans. Explain how the cricket frog plays an important role in limiting the spread of mosquito-borne illnesses like West Nile virus and malaria.
The cricket frogs play an important role in limiting the spread of mosquito borne illnesses because they consume the mosquitos and decrease the population of contaminated mosquitos.
6. Predict the long-term effects of these limiting factors on the cricket frog population in the pond ecosystem.
Eventually the cricket frog population may die out because of all the negative factors. If there are too many mosquitoes, then the frog population can begin to die out. With pollution, the frogs do not have a safe and clean environment to leave in and can get infected, sick, and can die after a while. Crocodiles need to eat, so they are also bringing down the population.
When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?
Answer:
14.4m/s
Explanation:
To calculate the final velocity (V), we use the formula:
v = u + at
Where; v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration (m/s²)
t = time (s)
According to the provided information in this question, v = ?, u = 0m/s, a = 1.8m/s², t = 8s
Hence, v = u + at
v = 0 + (1.8 × 8)
v = 0 + 14.4
v = 14.4m/s
Therefore, his final velocity at the end of those 8 seconds is 14.4m/s.
Which two options would increase the electric force between two charged
particles?
O A. Increase the distance between the particles.
B. Increase the charge of one of the particles.
C. Decrease the charge of both particles.
O
D. Decrease the charge of one of the particles,
O E. Decrease the distance between the particles,
The two options would increase the electric force between two charged
particles is
E. decrease the distance between particles.
B. Increase the charge of one of the particles.
What is Electric force?The attractive or repulsive interaction that lies between any two charged objects should be called as the electric force.
When the distance between the particles is decreased and the charge of one particles should be increased so it increased the electric force.
hence, option b and option e are correct.
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