The on-axis magnetic field strength 14 cm from a small bar magnet is 5.2 μT . a) What is the bar magnet's magnetic dipole moment? b)What is the on-axis field strength 20 cm from the magnet?
Answers
The on-axis magnetic field strength 20 cm from the magnet is approximately 1.55 μT.
We need to find the magnetic dipole moment of the bar magnet and the on-axis field strength 20 cm from the magnet.
a) To find the magnetic dipole moment, we can use the formula for the on-axis magnetic field strength (B) from a small bar magnet:
B = (μ₀ / 4π) * (2 * m / r³)
where μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A), m is the magnetic dipole moment, and r is the distance from the magnet. We have B = 5.2 μT = 5.2 × 10⁻⁶ T and r = 14 cm = 0.14 m. Rearranging the formula to solve for m:
m = (B * 4π * r³) / (2 * μ₀)
Now, plug in the values:
m = (5.2 × 10⁻⁶ T * 4π * (0.14 m)³) / (2 * 4π × 10⁻⁷ T·m/A)
m ≈ 3.88 × 10⁻² A·m²
So, the magnetic dipole moment of the bar magnet is approximately 3.88 × 10⁻² A·m².
b) To find the on-axis magnetic field strength 20 cm from the magnet, use the same formula as in part a, with r = 20 cm = 0.2 m:
B = (μ₀ / 4π) * (2 * m / r³)
Plug in the values:
B = (4π × 10⁻⁷ T·m/A / 4π) * (2 * 3.88 × 10⁻² A·m² / (0.2 m)³)
B ≈ 1.55 × 10⁻⁶ T
The on-axis magnetic field strength 20 cm from the magnet is approximately 1.55 μT.
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Related Questions
Problem 3. High concentration of coliform bacteria is detected in a water well in Oklahoma. Shock chlorination was applied to disinfect the well by supplying a high concentration of chlorine to the water over a short period. After the disinfection treatment, the concentration of coliform bacteria c , is expected to decrease according to \[ c=77 e^{-1.5 t}+20 e^{-0.08 t} \] Where t is time in hours, and c is the bacteria concentration in ppm. Determine the time required for the bacteria concentration to be reduced to 15ppm using the Newton's method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01). Check your result with fsolve function in Python's scioy library.
Answers
The time required for the bacteria concentration to be reduced to 15ppm using the Newton's method is 8.12 hours.
Finding the roots of a differentiable function F, which are answers to the equation F (x) = 0, using Newton's technique is an iterative process. To solve this problem, we can use Newton’s method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01). The formula for Newton’s method is:
xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
where xₙ₊₁ is the next approximation, xₙ is the current approximation, f(xₙ) is the function value at xₙ, and f'(xₙ) is the derivative of the function at xₙ.
For this problem, we have:
f(t) = 77 \(e^{-1.5 t}\) +20 \(e^{-0.08 t}\) - 15
f’(t) = -115.5 \(e^{-1.5 t}\) - 1.6 \(e^{-0.08 t}\)
After using the Newton’s method with an initial guess of t=6 and a stopping criterion of 1% (tol=0.01), the results are as follows:
t = 4.139 hours
You can check your result with fsolve function in Python’s scioy library.
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A communications satellite is in a circular orbit around Earth at radius R and velocity v. A rocket accidentally fires quite suddenly, giving the rocket an outward radial velocity v in addition to its original velocity.
(a) Calculate the ratio of the new energy and angular momentum to the old.
(b) Describe the subsequent motion of the satellite and plot T(r), V(r), U(r), and E(r) after the rocket fires.
Answers
What is thermal energy.
Answers
Explanation:
thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat the flow of thermal energy
k
B
T
{\displaystyle k_{\mathrm {B} }T}, in a system that is described in terms of its microscopic particulate constituents, where
T
T denotes temperature and
k
B
k_{\mathrm{B}} denotes the Boltzmann constant.
I learned this last week in my Sci-tech class!
I NEED THIS DONE ASAP I WILL MARK YOU THE BRAINLIEST BUT NO LINKS
Put the correct terms with the correct pictures
Answers
Answer:
1. Static Friction
2. Sliding friction
3. Fluid friction
4. is rolling friction
Sorry if i am wrong
Explanation:
The Earth has a speed of 108,064.5 km/hr around the sun. The planet Mars has a speed of 86,868 km/hr around the sun.
Answers
Answer:
Graph B
Explanation:
This is because the full question is "The Earth has a speed of 108,064.5 km/hr around the sun. The planet Mars has a speed
of 86,868 km/hr around the sun. Which of the following graphs best represents the
motion of the two planets?" The answer would be B because the more steeper the slope means more speed.
arrange 6.002, 6.023, 6.302, 6.020 from least to greatest
WILL MARK BRAINLIEST
Answers
Answer:
6.002
6.020
6.023
6.302
Explanation:
Unpolarized light is incident onto three polarizers with their transmission axes oriented in such a way that the first and the last make a 39 angle between them, and the middle one makes the same angle with the first and the last one. Find the percentage of the incident light which passes through these three polarizers.
Answers
Answer:
I₃ = I₀ 0.395
Explanation:
Polarized light passing through a polarizer must comply with Malus's law
I = I₀ cos² θ
Before starting, let's analyze the angle between the polarizers, the second has the same angle with the first and the third, so it is at the midpoint
θ₂ = 39/2 = 19.5
now let's analyze the light that passes through each polarizer, as the incident is unpolarized through the first polarizer half the intensity comes out
I₁ = I₀ / 2
the second polarizer comes out
I₂ = I₁ cos² 19.5
I₂ = I₀ / 2 cos² 19.5
through the third polarized the intensity passes
I₃ = I₂ cos² 19.5
I₃ = (I₀ /2 cos² 19.5) cos² 19.5
I₃ = I₀ 0.395
1. Hearing is also known as
?
Answers
a parallel-plate capacitor is connected to a battery. what happens if the plate separation is doubled while the capacitor remains connected to the battery? (a) the stored energy remains the same. (b) the stored energy is doubled. (c) the stored energy decreases by a factor of 2. (d) the stored energy decreases by a factor of 4. (e) the stored energy increases by a factor of 4.
Answers
When a parallel-plate capacitor is connected to a battery, if the plate separation is doubled the stored energy decreases by a factor of 2 while the capacitor remains connected to the battery. The correct option is (c)
The stored energy in a capacitor can be computed from the amount of charge stored on the plates and the voltage difference between them.
It is given by the formula E=½QV, where E is the energy, Q is the charge, and V is the voltage between the plates.
A capacitor stores energy in its electric field, which is created by the charge distribution on its plates.
When the plate separation is increased while the capacitor is connected to a battery, the electric field inside the capacitor decreases since the voltage across it is constant. This results in a reduced potential energy, as well as a decrease in stored energy.
As a result, the stored energy of the capacitor is reduced by a factor of 2 when the plate separation is doubled, as the electric field in the capacitor decreases by half. Therefore,option (c) is correct.
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Hey can anyone pls pls pls answer dis i rlly need it i only need the conclusion!!
Answers
Explanation:
since oil needs more boiling time and a higher boiling temperature the oil would have to be in the pot longer than the water if it needs to be boiled longer that is why the blue line for oil temp. is significantly higher than that of the water temp.
If your engine is flooded with gasoline, you should push the ____ to the floor and hold for _____.
a. accelerator, 5 seconds
b. accelerator, 1 minute
c. brake, 1 minute
d. brake, 5 seconds
Answers
If your engine is flooded with gasoline, you should push the brake, to the floor and hold for 5 seconds.
What is gasoline?Gasoline or petrol is a transparent, petroleum-derived flammable liquid that is used primarily as a fuel in most spark-ignited internal combustion engines. Gasoline is already considered frozen if it turns into a thick sludge or wax. To totally avoid frozen gasoline inside the car, focus on preventing the fuel line from freezing during winter. Stale gasoline can be dangerous as it contains a combination of over 150 chemicals that can destroy both animal and human lives. Gasoline vapors are heavier than air, so they settle on the ground and travel like a liquid. Because of this, they often find their way into drains, basements, and sewer lines.
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For the waveform of quality of sound _______ is taken vertically.
(a).Length
(b).Mass
(c). Pressure
(d). Velocity
Answers
(c) Pressure
Explanation:
Sound is a pressure wave, which means it consists of variations in air pressure that travel through the air as a wave. When we visualize the waveform of a sound, we are typically representing the variations in air pressure over time.
The vertical axis of the waveform represents the amplitude of the pressure variations. This means that as the amplitude of the waveform increases, the pressure variations increase, and vice versa. Since the pressure variations are what make up the sound wave, it is logical to take pressure as the vertical axis for visualizing the waveform.
what is the relationship between the center of gravity and the support base for an object that is in stable equalibrium
Answers
The relationship between the center of gravity and the support base for an object in stable equilibrium is that the center of gravity must be positioned directly above or within the support base.
In an object at stable equilibrium, the center of gravity plays a crucial role in maintaining balance. The center of gravity is the point where the entire weight of the object can be considered to act. It is determined by the distribution of mass within the object.
For an object to be in stable equilibrium, the center of gravity must be positioned directly above or within the support base. The support base refers to the area or points of contact that provide stability to the object. It can be a surface, a point, or an extended area.
When the center of gravity is within the support base, any slight tilting or displacement of the object will cause a restorative torque, bringing the object back to its original position. This ensures stability and prevents the object from tipping over.
If the center of gravity is positioned outside the support base, the object becomes unstable, and even a small disturbance can cause the object to topple or lose its equilibrium.
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Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move
Answers
Option B, C, and E are correct. First principle of motion options that address the issue include Before an item may move, it must be subjected to a net force. The inertia rule is another term for the first principle of Newton's theory of motion.
InertiaNewton's fundamental law holds valid whether or not an object is moving. Newton's first law can be viewed as the law of inertia. It helped us understand that when a body is at rest, it will remain immobile unless an external force is added to it, or that if a body is moving at a constant rate, it will continue to move until an external force is applied to it.Only when a net force is applied will a body move from its resting state. This law is demonstrated whenever a passenger in a car fastens their seat belt. This rule applies to both stationary and moving items. Thus, alternatives B, C, and E are correct.For more information on inertia kindly visit to
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Complete question: Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move?
A. Most planets do not have any inertia, so their motion constantly changes.
B. The force of gravity acts on planets and changes the direction of their motion.
C. Each planet's inertia is constantly changing from one moment to the next.
D. There are no forces acting on the planets as they move in orbits around the Sun.
A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?
Answers
To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.
In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.
In this scenario, the force needed to lift the automobile can be calculated using the formula:
\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)
where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.
Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:
\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)
\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)
Simplifying the equation and substituting the values, we can solve for \(F_{2}\):
\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)
Plugging in the values, we find:
\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)
Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:
\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)
Solving for \(F_{1}\), we find:
\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)
Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.
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ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answers
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
If the andromeda galaxy collided with the milky way, what would most likely happen to earth?.
Answers
Answer:
the surface of the earth would've already turned into a very hot liquid water to even exist and there would be no existence of humans on earth
People in the future may well live inside a large rotating space station if aliens came and caused the rotational speed of the space station to increase, the apparent weight of the people would
Answers
The apparent weight of the people would decrease if the rotational speed of the space station increased due to the centrifugal force acting outward, countering the force of gravity.
When a space station rotates, it creates a centrifugal force that acts outward. This force is directed away from the center of rotation and is proportional to the square of the rotational speed. As the rotational speed increases, the centrifugal force becomes stronger, effectively counteracting the force of gravity. Consequently, the apparent weight experienced by the people living in the space station decreases because the gravitational force is partially offset by the centrifugal force. This phenomenon is similar to experiencing weightlessness in space, where the gravitational force is significantly reduced or eliminated.
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Which are examples of a Simple machine?
Question 4 options:
Hammer that swings on a nail
Light Switch that flips
Door stop that wedges at the bottom
The wheels on a bike
Answers
Hope this helps
Answer:
the wheels on a bike
Explanation:
do you go to k-12 if you do can you help me please have a good night/day :) ❤
mention four physical properties of physics
Answers
density (intensive)
volume (extensive)
mass (extensive)
2. Color
3. Volume
4. Mass
7
What was the dependant variable? * is it 1,2 or 3?
(1 Point)
1. Type and weight of the block
2. increase in energy transferred
3. Thermometer used
Answers
Answer:
Increase is energy transferred
Explanation:
Increase in energy or ∆E depends upon the mass or type of the blockIt also depends upon the surface area etc The thermometer used is useless in this case .Option B is correct
What is the wavelength of a wave that is traveling at 343 m/s with a frequency of 1000 Hz
Answers
Answer:
\(343 \div 1000 = 0.343\)
wavelength is equivalent to the velocity divided by the frequency
A 4. 0-g string is 0. 36 m long and is under tension. The string vibrates at 500 hz in its third harmonic. What is the wavelength of the standing wave in the string?.
Answers
the wavelength of the standing wave in the string of third harmonic is 0.24 meters.
We need to know about the third harmonic wavelength to solve this problem. When the string is vibrating at its third harmonic, it should follow the rule
λ = 2/3 L
where λ is wavelength and L is the length of string
From the question above, we know that
f = 500 Hz
L = 0.36 m
m = 4 g
By substituting to the following equation, we can calculate the wavelength
λ = 2/3 . L
λ = 2/3 . 0.36
λ = 0.24 m
Hence, the wavelength at its third harmonic is 0.24 meters.
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suppose you heat an oven to 400 f and boil a pot of water. which of the following explains why you would be burned by sticking your hand briefly in the pot but not by sticking your hand briefly in the oven?
Answers
The water can transfer heat to your arm more quickly than the air when we heat an oven to 400 f and boil a pot of water.
Heat is defined in thermodynamics in a way that is significantly different from how we typically use the word. Heat is the thermal energy that is transmitted when two systems with different surface temperatures come in contact. Heat is denoted by the letters q or Q and is quantified in joules.
Since heat is defined in the context of a process that allows energy to be transferred, it is occasionally referred to as a process quantity. While the heat that a hot cup of coffee imparts to your hand may be discussed, the heat that the cup of coffee itself holds is not. Heat is yet another notable characteristic.
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convert 15 km/hr to m/s
show work
Answers
Answer:
Explanation:
as we know that 1 km =1000 m and 1 hr= 3600 sec
so 15 km/hr =15*1000 m/3600 sec
15 km/hr= 4.167 m/s
Solids in which the atoms have no particular order or pattern are called
Answers
Answer:
Amorphous solids are composed of atoms or molecules that are in no particular order. Each particle is in a particular spot, but the particles are in no organized pattern. Examples include rubber and wax. Crystalline solids have a very orderly, three-dimensional arrangement of atoms or molecules
Explanation:
A circuit has a resistance of 4.0 Ohms. What voltage will produce a current of 1.4 Amps in the circuit
Answers
Answer:
5.6 volts
Explanation:
According to Ohm's Law, V = IR
where V = voltage, I = Current and R = resistance
An ice skater spins with angular speed omegaω and initial frequency fi. He brings his arms closer to his body, increasing his angular speed to 2ω His final frequency is ff
Answers
The frequency of his spin increases by a factor of 2 if his angular speed increases to 2ω.
ω = 2 π / T
f = 1 / T
ω = Angular velocity
T = Time period
f = Frequency
ω = f * 2 π
fi = ω / 2 π
If angular speed increases to 2 ω,
ff = 2 ω / 2 π
ff = 2 fi
The constant 2 π is used because one revolution per second is equal to 2 π radians per second. Frequency is the repetition of an event per unit amount of time. Its Si unit is Hertz.
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Two point charges of values +3.4 ?C and +6.6 ?C, respectively, are separated by 0.20 m. What is the potential energy of this 2?charge system? (ke = 8.99 109 N?m2/C2)
Electric Potential Energy
Electric potential energy of a system of charges is the work done in bringing the charges from infinite distances to their respective positions in the system. Total electric potential energy of a system is the sum of potential energies of each pair of charges of the system.
Answers
Potential energy of the 2-charge system: According to the question, we have two point charges of values +3.4 µC and +6.6 µC separated by 0.20 m. The potential energy of the two-point charge system is 820.41 J.
The formula for calculating the potential energy of the two-point charge system is given by;
U = (kq1q2)/d,
Where; U = potential energy of the system q1 = value of the first point charge
q2 = value of the second point charge,
k = Coulomb's constant = 8.99 × 10^9 Nm^2/C^2
d = separation distance between the two charges
Plugging in the values, we get;
U = [(8.99 × 10^9 Nm^2/C^2)(3.4 µC)(6.6 µC)]/(0.20 m)
U = 820.41 J (Joules)
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A bicycle and a massive truck have a head-on collision. Which vehicle has more inertia ?