a wire is formed into a circle having a diameter of 11.2 cm and is placed in a uniform magnetic field of 3.17 mt. the wire carries a current of 5.00 a. find the maximum torque on the wire.
Answers
The maximum torque on the wire is 1.55 x 10^-2 Nm.
The magnetic torque on a current-carrying loop is given by the formula
τ = NIABsinθ
where τ is the torque, N is the number of turns in the loop, I is the current flowing in the loop, A is the area of the loop, B is the magnetic field, and θ is the angle between the normal to the plane of the loop and the direction of the magnetic field.
In this case, the wire is formed into a circle, so it has one turn, and the diameter is given as 11.2 cm, which means the radius is 5.6 cm.
The area of the loop is given by the formula
A = πr^2
Substituting the values, we get
A = π(5.6 cm)^2 = 98.52 cm^2
The magnetic field is given as 3.17 mT, which is equivalent to 3.17 x 10^-3 T.
The current is given as 5.00 A.
The angle between the normal to the plane of the loop and the direction of the magnetic field is 90 degrees, since the loop is placed perpendicular to the magnetic field.
Substituting all the values into the formula, we get
τ = (1)(5.00 A)(98.52 cm^2)(3.17 x 10^-3 T)sin(90°)
Simplifying, we get
τ = 1.55 x 10^-2 Nm
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Related Questions
Which of the following best describes Vapor Pressure (NOT Saturation Vapor Pressure!)?
A. The amount of water vapor needed in order for the air to become saturated
B. The temperature that the atmosphere must be cooled to in order to become saturated
C. The ratio of moisture to dry air
D. The amount of water vapor that is currently present in the atmosphere
Answers
The following statement that best describes Vapor Pressure is The amount of water vapor that is currently present in the atmosphere. The correct option is D.
Vapor pressure refers to the pressure exerted by water vapor molecules in the air. It represents the partial pressure of water vapor in a mixture of gases. The vapor pressure of water increases with an increase in the amount of water vapor present in the atmosphere.
Vapor pressure is influenced by temperature and the total amount of moisture in the air. As the temperature increases, the kinetic energy of water molecules also increases, leading to a higher vapor pressure. Conversely, as the temperature decreases, the kinetic energy decreases, resulting in a lower vapor pressure.
Vapor pressure is an important factor in determining atmospheric humidity. When the vapor pressure reaches a specific level, known as the saturation vapor pressure, the air becomes saturated, and condensation or precipitation may occur. However, it's important to note that vapor pressure specifically refers to the amount of water vapor present, not the saturation point.
Therefore, option D, "The amount of water vapor that is currently present in the atmosphere," best describes vapor pressure.
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which wave has a wave length that is most likely seen as red light
Answers
Answer:
Explanation:
Red light has longer waves, with wavelengths around 620 to 750 nm.
young's double-slit experiment is performed with 530-nm light and a distance of 2.00 m between the slits and the screen. the tenth interference minimum is observed 7.70 mm from the central maximum. determine the spacing of the slits
Answers
The spacing of the slits in young's double experiment is 1.44 μm.
In the Young's double-slit experiment, the position of the interference minimum can be determined using the following formula:
d * sin(θ) = (m + 1/2) * λ
where d is the spacing between the slits, θ is the angle between the central maximum and the interference minimum, m is the order of the minimum (in this case, 10), and λ is the wavelength of the light (530 nm).
First, let's calculate θ using the small angle approximation:
tan(θ) ≈ sin(θ) ≈ y / L
where y is the distance of the interference minimum from the central maximum (7.70 mm), and L is the distance between the slits and the screen (2.00 m). Convert y to meters: 7.70 mm = 0.0077 m.
θ ≈ 0.0077 m / 2.00 m = 0.00385
Now, plug the values into the original formula:
d * sin(θ) = (m + 1/2) * λ
d * 0.00385 = (10 + 1/2) * 530 x 10⁻⁹ m
Solve for d:
d = (10.5 * 530 x 10⁻⁹ m) / 0.00385
d ≈ 1.44 x 10⁻⁶ m
The spacing of the slits is approximately 1.44 μm.
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The Big Bang theory states that _____.
the universe was created from a cosmic explosion
the universe was formed from a collision between two galaxies
the universe is expanding and will continue to expand
the sun will eventually burn out and collapse
Answers
Answer:
A
Explanation:
The universe was created from a cosmic explosion.
Which of the following statements about developing a personal fitness program is NOT true?
A When developing a personal fitness program, it is important to implement strategies that will help
maintain the program as well as give it a successful start
B. Personal factors such as age, health concerns, and likes are important to consider when developing
a personal fitness program
C. The starting skill level of the physical activities included in a personal fitness program should be
determined from other individuals' fitness programs
D. The FITT principle should be used when developing a personal fitness program,
Please select the best answer from the choices provided
A
B
Save and Exit
Next
Answers
Answer:
C
Explanation:
The starting skill level of the physical activities included in a personal fitness program should be determined from other individuals' fitness programs is a statement which is not true. Everyone starts their personal fitness journey at a different level which should be regarded . A fitness test should be taken to determine where an individual should start their new lifestyle.
Answer:
C. I got it right :)
Explanation:
Use the information in the square to answer the questions
about tin.
Answers
Use the information in the square to answer the questions
about tin.
what does it mean mechanical advange is less than one?
Answers
Answer:
this happens when the input force is greater than the output force
HOPE IT HELPED YOU...
me·chan·i·cal ad·van·tage
noun
the ratio of the force produced by a machine to the force applied to it, used in assessing the performance of a machine.
#4, I really need help ;)
Answers
Refer to the attached image.
3. The force on charge q₁ is determined as 0.53 N.
4. The net electric force on q₁ is determined as 61.88 N
What is the force on q1?The magnitude of the force on q1 is calculated by applying Coulomb's law as shown below;
F = kq₁q₂/r²
where;
q₁ is the magnitude of first chargeq₂ is the magnitude of second charger is the distance between the two chargesk is coulomb's constantF = (9 x 10⁹ x 2 x 10⁻⁶ x 3 x 10⁻⁶ ) / (0.32²)
F = 0.53 N
4. The net force on charge 1 is due to force of charge 2 and charge 3.
F₁₂ = (9 x 10⁹ x 4 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₂ = 22.5 N
F₁₃ = (9 x 10⁹ x 7 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₃ = 39.375 N
F(net) = F₁₂ + F₁₃
F(net) = 22.5 N + 39.375 N
F(net) = 61.88 N
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que tienen en común la materia y el sistema?
Answers
Answer:
La materia es la sustancia de la que está hecho todo material. En física, el sistema es una de las propiedades de la materia. Se puede transferir entre objetos y convertir en forma. No se puede crear ni destruir.
espero que te ayude!
a car is driven 1.5 kilometers west in 2 minutes. what is the velocity in m/s?
Answers
Velocity=-1.5/2
Velocity = -3/4 or -0.75
. the composite plate is made from both steel (a) and brass (b) segments. determine the mass and location (x, y, z) of its mass center g. take rst = 7.85 mg>m3 and rbr = 8.74 mg>m3 .
Answers
The weighted average of the masses and locations of a composite plate's constituent materials may be used to calculate the mass and location of the mass center (center of mass).
The composite plate in this example is constructed of both steel (a) and brass (b) segments. Let us write m1 for the mass of the steel section and m2 for the mass of the brass segment. Steel's mass density is reported as rst, and brass's mass density is provided as rbr. The following equation may be used to compute the volume of each segment V1 = m1 / rst V2 = m2 / rbr Adding the masses of the steel and brass segments yields the total mass of the composite plate: m = m1 + m2 The coordinates of each section's center of mass are (x1, y1, z1) for the steel segment and (x2, y2, z2) for the brass segment. The composite plate's mass center (center of mass) may be calculated by calculating the weighted average of the locations of the steel and brass segments based on their masses: g = (m1*(x1, y1, z1) + m2*(x2, y2, z2)) / m.
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what is the density of the oil? [hint: pressures at points a and b are equal. why?] express your answer with the appropriate units.
Answers
The majority of oils have densities that fall within the 700–950 kg/m3 (kg/kg/m3) range. In oils, it is typically stated as +15°C or +20°C, in kilograms per square meter.
Explain density.Density Definition How closely a material gets packed together is determined by its density. It is described as the mass per volume. Density Symbol: D or Density formula: = m/V, where m is the object's mass and V is its volume.
What does density mean, for example?How compact & concentrated anything is is described by its density. Consider having two boxes, on large and one tiny. They each weigh the same, though. As a result, the small box does have a greater density than the huge box. Additionally, density reveals how crowded or concentrated something is.
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What is empathy behavior?
Answers
Empathy behavior is the ability to understand what another person is feeling.
It is the capacity to perceive another person's thoughts and feelings in a circumstance from that person's perspective as opposed to your own. This is distinct from compassion, which involves being influenced by the ideas and sentiments of another person but remaining emotionally impassive.
Types of Empathy:
There are various sorts of empathy that one can encounter. The three different kinds of empathy are:
Affective empathy: Understanding another person's feelings and reacting accordingly require affective empathy. Such emotional comprehension could make someone feel concerned for the welfare of another person or it might make them feel distressed personally.Somatic empathy: A physical response to another person's experience is referred to as somatic empathy. Sometimes people can actually feel what another person is feeling. For instance, you might start blushing or feel queasy when you witness someone else blushing.Cognitive empathy: Understanding another person's mental state and potential thoughts in reaction to the scenario requires cognitive empathy. This is associated with the theory of mind, sometimes known as thinking about what other people are thinking.There are significant variations between sympathy and compassion even though they are related to empathy. When compared to empathy, which typically entails a far more active attempt to understand another person, compassion and sympathy are frequently regarded to be more passive connections.
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Which analogy best explains why inflation predicts that the overall geometry of the observable universe should appear to be flat?.
Answers
Because of how large Earth is, an ant's exploration of it makes it appear flat. It appears that the Big Bang theory explains how components were created in the first few minutes following the Big Bang.
What does Earth actually go by?Contrary to popular belief, Earth doesn't provide an official international name. The word "Terra" is merely a common misunderstanding of the scientific name for the planet. "Earth" is the commonly used English name for the planet, particularly in scientific contexts.
Is the Earth a star?A planet like the Earth revolves around a star called the sun. A star is typically understood to be a mass of gas that is sufficiently massive and dense to enable nuclear fusion to occur at its core.
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A teacher pushed a 98 newton desk across a floor for a distance of 5 meters. He exerted a horizontal force of 20 N for four seconds. What was his power?
Answers
Answer:
First let's find the work.
Work = Force*Displacement
= 20*5
= 100 Joules
Power = Work/Time
= 100/4
= 25 Watts
how long does it take, in minutes, for light to reach saturn from the sun, a distance of 1.472×109 km?
Answers
It takes approximately 81.8 minutes for light to travel from the Sun to Saturn, covering a distance of 1.472×10^9 kilometers.
Light travels at a constant speed of approximately 299,792 kilometers per second in a vacuum. To calculate the time it takes for light to reach Saturn from the Sun, we can divide the distance between them by the speed of light.
The distance from the Sun to Saturn is approximately 1.472×10^9 kilometers. Dividing this distance by the speed of light gives us:
Time = Distance / Speed = 1.472×10^9 km / 299,792 km/s
To convert this into minutes, we need to convert the seconds to minutes. There are 60 seconds in a minute, so:
Time (in minutes) = Time (in seconds) / 60
Let's calculate the time:
Time (in seconds) = 1.472×10^9 km / 299,792 km/s = 4908.23 seconds
Time (in minutes) = 4908.23 seconds / 60 = 81.8038 minutes
Therefore, it takes approximately 81.8 minutes for light to travel from the Sun to Saturn, covering a distance of 1.472×10^9 kilometers.
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Please Help Me!!..........
Answers
D
Explanation:
Isotopes differ by neutron numbers. C12 had 6 neutrons while C14 had 8 neutrons
A boy walks towards a stationary plane mirror at a speed of 12ms^1 what is the relative speed of approach of the boy and his image? (a)zero (b)1.2ms^-1 (c) 2.4ms^-1 (d)1.44ms^-1
Answers
Answer:
a
Explanation:
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Three balls with different masses are shown below.
(picture of beach ball) - 85g
(picture of football) 425g
(picture of baseball) - 149g
If the same amount of kicking force is applied to each ball, which will travel the farthest?
F - They will all travel the same distance because the applied force is the same
G - the baseball because it's the smallest
H - The football because it has the highest mass and was designed for kicking
J - the beach ball because it has the lowest mass
(btw it's a football, not soccer ball)
Answers
Answer:
$10 a g
Explanation:
Answer:
As The mass of the beach ball is having lowest magnitude when compared with the other balls given so when apply the same magnitude of force to all the balls then the beach ball due to its lighternessand also its inertia of rest would not resist the force so much so when you apply the force to this ball it would starts to roll and covers the maximum diatance whwn compared with the other ball only in the condition when same magnitude of force applied.Thats this ball would do more work than the other ball.The mass also influences the velocity carried by the body and also the kinetic energy possessed by the body. More the force applied more the distance it would cover
Hope it helps
what mass of fe and co₂ could be formed by the reaction of 0.22 mol of fe₂o₃ with 5.5 mol of co?
Answers
The mass of \(Fe\) is 24.56g and \(CO2\) is 726.165g could be formed by the reaction of 0.22 mol of \(Fe2O3\) with 5.5 mol of \(CO\).
Given the number of moles of \(Fe2O3\) is = 0.22mol
The number of moles of \(CO\) = 5.5mol
The reaction of given compounds Fe2O3 and CO is described as below:
\(Fe2O3 + 3CO --- > 2Fe + 3CO2\)
Here, we can see that 1 mole 0f \(Fe2O3\) and 3 moles of \(CO\) produce 3moles of \(CO2\).
As given \(Fe2O3\) acts as the limiting reagent such that:
Moles of \(Fe\) produced = 0.22 mol x (2 mol \(Fe\) / 1 mol \(Fe2O3\)) = 0.44 mol Fe
Moles of \(CO2\) produced = 5.5 mol \(CO\) x (3 mol \(CO2\)₂ / 1 mol \(CO\)) = 16.5 mol
We know the molar mass of compound \(CO2\) is and \(Fe\) is then,
mass of \(Fe\) used = moles x molar mass of \(Fe\) = 0.44 x 55.84 = 24.56g
mass of \(CO2\) used = moles x molar mass = 16.5 x 44.01 = 726.165g
Hence, 24.56g of \(Fe\) and 726.165g of \(CO2\) are used in the reaction.
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3. True or False: A warm-up can include minimal stretching at the end.
Answers
Answer:
False.
Explanation:
A warm up is stretching in the beginning.
Why is a magnetic fleld a vector quantity?
Answers
Mass and weight are different.mass depends on………., And weight depends on…………
Answers
Answer:
Matter, Force
Explanation:
In scientific contexts, mass is the amount of "matter" in an object (though "matter" may be difficult to define) whereas weight is the force exerted on an object by gravity. Objects on the surface of the Earth have weight, although sometimes the weight is difficult to measure.
what formula can you use to calculate average speed
Answers
Answer:
the DTS triangle
Explanation:
DTS stands for distance, time, and speed, which you can use to calculate any of the three if you have the other two.
Which is evidence that a convergent boundary once existed
Answers
There are several pieces of evidence that a convergent boundary once existed. Here are some examples:
Mountain belts: When two tectonic plates converge, they push against each other, which can cause the formation of mountain ranges. The presence of mountain belts, such as the Appalachian Mountains in North America or the Alps in Europe, is evidence that two plates once converged in that area.
Volcanic arcs: When two plates converge and one of them is an oceanic plate, subduction can occur. This can cause magma to rise to the surface and form a volcanic arc, such as the Ring of Fire in the Pacific Ocean. The presence of a volcanic arc is evidence that two plates once converged in that area.
Fossils: When two continents converge, the animals and plants living on those continents can become mixed together. This can lead to the formation of unique fossils that are found only in that area. The presence of these unique fossils is evidence that two continents once converged in that area.
Rocks: When two plates converge, the rocks in the area can become deformed and folded. The presence of folded rocks, such as those found in the Appalachian Mountains, is evidence that two plates once converged in that area.
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A wave has a frequency of 900 Hz and a wavelength of 200 m. At what speed is this wave traveling?
Answers
Answer:
The velocity of the wave is, v = 180,000 m/s
Explanation:
Given data,
The frequency of the wave, f = 900 Hz
The wavelength of the wave, λ = 200 m
The formula for the speed of the wave when the frequency and wavelength are known,
v = λ x f
Substituting the given values in the above equation,
v = 200 m x 900 Hz
v = 180000 m/s
Hence, the velocity of the wave is, v = 180,000 m/s
Solving elastic collisions problem the hard way
Answers
Answer:
Solving elastic collisions problem the hard wayExplanation:
perfect drawing
an orthodontic spring, connected between the upper and lower jaws, is adjusted to provide no force with the mouth open. when the patient closes her mouth, however, the spring compresses by 6.0 mm . you may want to review (pages 233 - 235) . part a what force is exerted if the spring constant is 160 n/m ?
Answers
The force exerted by the spring when it is compressed is 0.96 N.
When the patient closes her mouth, the spring compresses by 6.0 mm.
The spring constant is the measure of the spring's stiffness, and it is denoted by k which is given 160 N/m. It is measured in newtons per meter (N/m).
\(F = kx\) is the formula for the force exerted by a spring.
When a spring is extended or compressed by a distance x from its equilibrium length, the formula is used to calculate the restoring force F.
The negative sign indicates that the force acts in the opposite direction of the displacement or compression in accordance with Hooke's law, which states that the force exerted by a spring is directly proportional to the spring's displacement or deformation from its equilibrium position.
If the spring constant is 160 N/m and the spring compresses by 6.0 mm, the force exerted by the spring is calculated as follows:
\(F = kx = 160 N/m \times 6.0 \times 10^{-3} m = 0.96 \ N\)
Therefore, the force exerted by the spring is 0.96 N.
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A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
Answers
The maximum permissible diameter of the rod is approximately 0.208 inches. The minimum permissible length of the rod is approximately 8333.33 inches.
To determine the maximum permissible diameter of the rod, we can use the formula for shear strain:
Shear Strain = Angle of rotation / Length
Given that the allowable shear strain is 0.0006 rad and the length of the rod is 18.0 in., we can rearrange the formula to solve for the maximum permissible diameter:
Diameter = 2 * sqrt(Shear Strain * Length)
Plugging in the values:
Diameter = 2 * sqrt(0.0006 rad * 18.0 in.)
Diameter ≈ 2 * sqrt(0.0108 rad * in.)
Diameter ≈ 2 * 0.104 in.
Diameter ≈ 0.208 in.
Therefore, the maximum permissible diameter of the rod is approximately 0.208 inches.
To determine the minimum permissible length of the rod, we can rearrange the formula for shear strain:
Length = Angle of rotation / Shear Strain
Given that the diameter of the rod is 0.5 in. and the allowable shear strain is 0.0006 rad, we can calculate the minimum permissible length:
Length = (Angle of rotation * Diameter) / Shear Strain
Length = (3.0° * 0.5 in.) / 0.0006 rad
Length ≈ 5.0 in. / 0.0006 rad
Length ≈ 8333.33 in.
Therefore, the minimum permissible length of the rod is approximately 8333.33 inches.
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If the total electromotive force in a circuit is 4. 0v find the amount of current flowing through the circuit
Answers
To determine the amount of current flowing through the circuit, we need to consider Ohm's Law, which states that current (I) is equal to the ratio of electromotive force (E) to the resistance (R) in the circuit. The formula for this relationship is I = E/R.
However, in your question, only the total electromotive force (E) is given as 4.0V, but the resistance (R) is not provided. Without the value of resistance, we cannot calculate the current directly.
To find the current flowing through the circuit, we need to know the resistance value. Once we have the resistance value, we can use Ohm's Law to calculate the current by dividing the electromotive force by the resistance.
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