Assuming a current is flowing, what increases the strength of the magnetic field of a coiled electrical wire?

straightening the wire
changing the direction of the current flow
adding more coils to the wire
stopping the current

Answers

Answer 1
The answer is: C - adding more coils to the wire.
Answer 2

The strength of the magnetic field of a coiled electrical wire can be increased by adding more coils to the wire.

What is electromagnetic induction?

According to the principle of electromagnetism,  there is a flow of current when there is a relative motion between a magnetic field and a conductor.

Also, the strength of the magnetic field depends on the number of turns hence, the strength of the magnetic field of a coiled electrical wire can be increased by adding more coils to the wire.

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Related Questions

Patrick passes a soccer ball 6.0m directly across the field to Vanessa who then kicks the ball 14.5m directly down the field to Claudia. What is the balls total displacement as its travels between Vanessa and Claudia

Answers

Answer:

8.5m bcs you subtract 6.0m and 14.5m.

Co-efficient of volume expansion of
aluminium

Answers

The coefficient of volume expansion of a material is a measure of how much its volume changes with a change in temperature. For aluminium, the coefficient of volume expansion is approximately \(7.1 \times 10^{-5}\) per degree Celsius (\(K^{-1}\)).

For aluminium, the coefficient of volume expansion is approximately \(23.1 \times 10^{-6}\) per degree Celsius. This means that for every degree Celsius increase in temperature, the volume of aluminium will increase by approximately 23.1 parts per million (ppm).

This coefficient of volume expansion is an important property of aluminium, as it affects its behaviour in a variety of applications. For example, in the aerospace industry, aluminium is used extensively in the construction of aircraft because of its low weight and high strength-to-weight ratio. However, as the temperature of the aircraft changes during flight, the volume of the aluminium components will also change, potentially affecting the structural integrity of the aircraft.

Understanding the coefficient of volume expansion is therefore essential for engineers and designers working with aluminium in a variety of fields, from aerospace to construction to electronics.

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what does pe really mean

people say it is physical education
but i think it means POINTLESS EXCERCISE

Answers

Answer:

Physical Education

Explanation:

You get to learn about physical activities and exercise to make you healthier and more in shape

Answer:

lol

Explanation:

hujvgbuhn

two thin parallel slits are a distance dd apart. monochromatic light passing through them produces a series of interference bright spots on a distant screen.
If you increase the distance between these slits, the bright spots will... move closer to the center spot or not change position?

Answers

If you increase the distance between the two parallel slits, the interference bright spots will move closer to the center spot.

This phenomenon is known as the "interference pattern shifting towards the center". The reason behind this shift is that increasing the distance between the slits results in a decrease in the fringe spacing or the distance between the bright spots. This means that the bright spots will be closer to each other, and therefore closer to the center spot.

The mathematical relationship between the fringe spacing (d) and the distance between the slits (D) can be expressed as d = λD/d, where λ is the wavelength of the monochromatic light. As you increase D, the value of d decreases, resulting in a shift of the interference pattern towards the center. In summary, if you increase the distance between two thin parallel slits, the interference bright spots will move closer to the center spot due to the decrease in fringe spacing.

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If Charge A is positive, then Charge B must be:







A. not enough info
B. Negative
C. Positive
D. Neutral

If Charge A is positive, then Charge B must be:A. not enough info B. NegativeC. PositiveD. Neutral

Answers

Answer:

b

Explanation:

negativity sure ans bro

Two loudspeakers (A and B) are 3.20m apart and emitting a sound with a frequency of 400Hz. An observer is 2.10m directly in front of A. If the speed of sound in this room is 340m/s will the observer hear a loud sound or a quiet sound?

Answers

Answer:

The observer hears a loud sound

Explanation:

In order to know if the observer hears a loud or a quiet sound, you need to know if there is a constructive or destructive interference between the sound waves of the loudspeakers.

You first calculate the distance between the observer and the loudspeakers.

The distances are given by:

d1: distance to loudspeaker A = 2.10m

d2: distance to loudspeaker B

\(d_2=\sqrt{(3.20m)^2+(2.10m)^2}=3.827m\)

Next, you calculate the wavelength of the sound waves by using the following formula:

\(\lambda=\frac{v_s}{f}\)

vs: speed of sound =  343 m/s

f: frequency of the waves = 400Hz

λ: wavelength

\(\lambda=\frac{343m/s}{400Hz}=0.8575m\)

Next, you calculate the path difference between the distance from the observer to the loudspeakers:

\(\Delta d=3.827m-2.10m=1.727m\)

You obtain a constructive interference (loud sound) if the quotient between the wavelength of the sound and the difference path is an integer:

\(\frac{\Delta d}{\lambda}=\frac{1.727m}{0.857}\approx2\)

Then, there will be a constructive interference, and the sound who the observer hears is loud.

HELP ME ANSWER THIS FOR 96 POINTS PLEASE!!

The three modified Atwood's machines shown below have blocks of mass M on a frictionless surface
and hanging from a string. When the blocks are released, they accelerate.

Rank them from smallest to largest and explain why in a short paragraph using the mass terms and force.

HELP ME ANSWER THIS FOR 96 POINTS PLEASE!!The three modified Atwood's machines shown below have blocks

Answers

Answer:

Smallest - B

Largest - C

Middle - A

The hanging mass provides the force for accelerating the system.

In case A the force M G accelerates 2 * M

So you have for F = M a     M * g = 2 * M * a    or  a = g / 2

In case B  F = M a         M * g = 3 * M * a        and a = g / 3

In case C   F = 2 * M * g      2 M * g = 3 * M * a      and a = 2 * g / 3      

Rank from smallest to largest force Smallest - B, Middle - A, Largest - C.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Smallest - B

Largest - C

Middle - A

The hanging mass provides the force for accelerating the system.

In case A the force M G accelerates 2 * M

So you have for F = M a     M * g = 2 * M * a    or  a = g / 2

In case B  F = M a         M * g = 3 * M * a        and a = g / 3

In case C   F = 2 * M * g      2 M * g = 3 * M * a      and a = 2 * g / 3  

Rank from smallest to largest force Smallest - B, Middle - A, Largest - C.

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a monatomic ideal gas undergoes an isothermal compression from a volume of 3 m3 and pressure 71 kpa to a final volume of 0.9 m3. calculate the work in kj done by the gas on its environment.

Answers

In this process of isothermal compression, the work done by the ideal monoatomic gas = 256.446 kJ

For an isothermal process, the work done is given by,

W = nRTIn(V2/V1)    (1)

where V2 = final volume and V1= initial volume

From the ideal gas equation, we know

nRT = P1V1               (2)

Hence using (2) in (1)

W = P1V1 In(V2/V1)        (3)

Given in the problem V1 = 3 m³

P1 = 71kPa

V2 0.9 m³

∴ using equation (3)

W = 71000 x 3 x In(0.9/3)

⇒Ꮃ = -256446.207 J

Thus the work done by the ideal monoatomic gas on the environment( as seen from the negative sign) = W = 256446.207 J = 256.446 kJ

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What is the force on a charge Q moving with velocity v?

Answers

The force on a charge Q moving with velocity v is given by the Lorentz force law, whose equation is F =QvBsinθ.

The Lorentz force equation relates the force experienced by a charged particle when it is moving in a magnetic field. The force is proportional to the charge on the particle, the strength of the magnetic field, and the velocity of the particle.

The direction of the force is perpendicular to both the velocity and the magnetic field direction and follows the right-hand rule.

The equation is given by:

F = QvBsinθ

Where F is the force on the charge. Q is the charge on the particle, v is the velocity of the particle, and B is the magnetic field strength.θ is the angle between the velocity vector and the magnetic field vector.

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1)An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s.  What is its frequency f? Express your answer in hertz.
2)If the frequency is 40Hz, what is the period T ?
Express your answer in seconds.

Answers

1) The frequency is 10 Hz. 2) The period is 0.025 s.


1) To find the frequency (f) of an oscillating object with a period of 0.10 s, you can use the following formula:
f = 1/T
where f is the frequency and T is the period.

In this case, T = 0.10 s. Plugging in the value, we get:
f = 1/0.10
f = 10 Hz

So, the frequency of the oscillating object is 10 Hz.

2) To find the period (T) of an oscillating object with a frequency of 40 Hz, you can use the same formula:
T = 1/f
where T is the period and f is the frequency.

In this case, f = 40 Hz. Plugging in the value, we get:
T = 1/40
T = 0.025 s

So, the period of the oscillating object is 0.025 seconds.

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after a laser beam passes through two thin parallel slits, the first completely dark fringes occur at ±17.0 ∘ with the original direction of the beam, as viewed on a screen far from the slits.

Answers

When a laser beam passes through two thin parallel slits, it creates a pattern of light and dark fringes. The first completely dark fringes occur at ±17.0° with the original direction of the beam. This phenomenon is due to the interference of the light waves from the two slits.

When a laser beam passes through two thin parallel slits, it creates a pattern of light and dark fringes on a screen placed far from the slits.

The dark fringes occur at specific angles with respect to the original direction of the beam. In this case, the first completely dark fringes occur at ±17.0°.
To understand why this happens, we need to consider the phenomenon of interference.

When light passes through the two slits, it diffracts and spreads out, creating two coherent sources of light waves.

These waves then interfere with each other, either constructively or destructively, depending on the path difference between them.

At certain angles, the path difference between the waves from the two slits is such that they interfere destructively, resulting in a dark fringe. The angle at which the first dark fringe occurs can be determined using the formula:

d * sin(θ) = m * λ

where d is the distance between the slits, θ is the angle with respect to the original direction of the beam, m is the order of the fringe (which is 1 for the first dark fringe), and λ is the wavelength of the laser beam.

In this case, the first dark fringes occur at ±17.0°. To find the wavelength of the laser beam, we need to know the distance between the slits (d) and the order of the fringe (m), which is 1. With this information, we can rearrange the formula to solve for λ:

λ = d * sin(θ) / m

However, since we don't have the values for d and m in this question, we cannot determine the exact wavelength of the laser beam. Therefore, we cannot provide a proper conclusion or answer that is more than 100 words.

In summary, when a laser beam passes through two thin parallel slits, it creates a pattern of light and dark fringes. The first completely dark fringes occur at ±17.0° with the original direction of the beam. This phenomenon is due to the interference of the light waves from the two slits. The exact wavelength of the laser beam cannot be determined without additional information.

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Which organism gets its energy directly from the Sun?

Answers

Plants get there energy from the sun

The factor in an experiment that you are trying to measure is referred to as the
independent variable
O manipulated variable
o control
O dependent variable

The factor in an experiment that you are trying to measure is referred to as theindependent variableO

Answers

Answer:

Dependent Variable is the answer

NEED THIS NOW PLEASE!!! I'LL MARK BRAINIEST!!!

Which of these graphs would best model and predict the lifetime of the Sun on the main sequence?

NEED THIS NOW PLEASE!!! I'LL MARK BRAINIEST!!!Which of these graphs would best model and predict the
NEED THIS NOW PLEASE!!! I'LL MARK BRAINIEST!!!Which of these graphs would best model and predict the
NEED THIS NOW PLEASE!!! I'LL MARK BRAINIEST!!!Which of these graphs would best model and predict the
NEED THIS NOW PLEASE!!! I'LL MARK BRAINIEST!!!Which of these graphs would best model and predict the

Answers

As stars get bigger and brighter, the closer they are to their end of life.

Because they have already used all the elements they can in nuclear fusion. Iron cannot be fused, its too heavy.

The most accurate graph here would be the third one.



A spoon becomes warmer as it rests in a cup of hot soup.
conduction
convection
radiation
convection

Answers

The correct response is conduction.

                      Conduction provides an explanation for how heat is transferred from the hot soup to the spoon. The mechanism of heat transfer is known as conduction. It involves materials or objects coming into direct touch with one another.

                      In this instance, the spoon is in direct contact with the hot soup, allowing heat energy to transfer from the soup to the spoon. The particles of the spoon vibrate more vigorously as particles in the soup have a higher temperature, which raises the temperature of the spoon.

                      Whereas convection is the process of transferring heat by the circulation or stirring of a fluid, such as hot soup. In this situation, radiation which is the transfer of heat by electromagnetic waves is not happening. Examples of radiation: are sunrays, microwaves from an oven, X-rays from an X-ray tube, and gamma rays from radioactive elements.

Correct question:

"A spoon becomes warmer as it rests in a cup of hot soup." Choose the phenomenon causing this among the given options:

conduction

convection

radiation

convection

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What are the four properties that characterize information as pseudoscience?

Answers

The four properties that characterize information as pseudoscience include exaggerated,  contradictory, or unfalsifiable claims;  lack of openness to evaluation by other experts;  reliance on confirmation bias rather than rigorous attempts at refutation;  absence of systematic practices when developing hypotheses.

Pseudoscience refers to a proposition, a finding, or a system of explanation that is provided as science but lacks the rigor essential to the scientific approach. Pseudoscience can also be the result of research that is based on a flawed experimental design, faulty premises, or bad data.

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I dont understand what it means to divide

Answers

ANSWER:

The answer is detailed in the step-by-step explanation

STEP-BY-STEP EXPLANATION:

The division is the operation that allows us to distribute in equal parts. To solve these types of questions, an operation known as division is used, which is represented by the divided symbol ÷. On many occasions the division into equal parts is not exact, that is, some units may be left over.

As you can see in the illustration below, you can form four groups each of three candies, and there are two left over that cannot be put in any group, since they would no longer be distributed in equal parts.

I dont understand what it means to divide

A 5 Kg bucket is being lifted by Sue straight up. A)If Sue is lifting the bucket up with constant velocity with what force is she lifting the bucket with? B) If Sue uses the same force and lifted the bucket on the moon which has a gravitational pull of 1.6 m/s2, with what acceleration will the bucket rise?

Answers

Answer:

A) Sue is lifting the bucket by a force of 49.035 newtons.

B) The bucket has an acceleration of 8.207 meters per square second on the Moon.

Explanation:

A) According to the First Newton's Law, a system is at equilibrium when it is either at rest or travelling at constant velocity. In this case, Sue must exert an external force on the bucket, whose magnitude is equal to the weight of the bucket but direction is opposed to it. By Second Newton's Law, we find that:

\(\Sigma F = F - m\cdot g = 0\) (1)

Where:

\(F\) - Lifting force, measured in newtons.

\(m\) - Mass of the bucket, measured in kilograms.

\(g\) - Gravitational acceleration, measured in meters per square second.

If we know that \(m = 5\,kg\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the lifting force is:

\(F = m\cdot g\)

\(F = (5\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)

\(F = 49.035\,N\)

Sue is lifting the bucket by a force of 49.035 newtons.

B) By the Second Newton's Law, we have the following model:

\(\Sigma F = F-m\cdot g = m\cdot a\) (2)

Where \(a\) is the net acceleration of the bucket, measured in meters per square second.

If we know that \(F = 49.035\,N\), \(m = 5\,kg\) and \(g = 1.6\,\frac{m}{s^{2}}\), then the net acceleration of the bucket is:

\(a = \frac{F}{m} -g\)

\(a = \frac{49.035\,N}{5\,kg}-1.6\,\frac{m}{s^{2}}\)

\(a = 8.207\,\frac{m}{s^{2}}\)

The bucket has an acceleration of 8.207 meters per square second on the Moon.

(a) The force applied by Sue in lifting the bucket at a constant velocity is 49 N.

(b) The acceleration of the bucket when lifted on the moon is 8.2 m/s².

The given parameters;

mass of the bucket, m = 5 kg

The force applied by Sue in lifting the bucket at a constant velocity is calculated as;

\(F = m(a + g)\)

at constant velocity, a = 0

\(F= mg\\\\F = 5 \times 9.8\\\\F = 49 \ N\)

The acceleration of the bucket when lifted on the moon with the calculated force is;

\(F = m(a + g)\\\\a+g = \frac{F}{m} \\\\a = \frac{F}{m} - g\\\\a = \frac{49}{5} - 1.6\\\\a = 8.2 \ m/s^2\)

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The resistivity of iron is 1 x 10 -7 Ωm. The resistance of a iron wire of particular length and thickness is 1 ohm. If the length and the diameter of wire both are doubled, then the resistivity in Ωm will be

Answers

Answer:

2×10⁻⁷ Ωm

Explanation:

From the question,

R = 4ρL/πd².................... Equation 1

Where R = Resistance of the wire, ρ = resistivity of the wire, L = length of the wire, d = diameter of the wire.

Therefore,

ρ = Rπd²/4L............. Equation 2

Given: R = 1 ohm, ρ = 1×10⁻⁷Ωm

1×10⁻⁷ = πd²/4L.................... Equation 3

If the length and the diameter are doubled, and the resistance remaining constant

ρ' = π(2d)²/4(2L)

Where ρ'  = new resistivity

ρ' = 4πd²/8L

ρ' = 2πd²/4L = 2ρ

ρ' = 2(1×10⁻⁷)

ρ' = 2×10⁻⁷ Ωm

Explain why you have to close the switch in order for the electromagnet to pick up any paperclips.

Answers

To start the magnetic field

What statement about the milky way is true?

What statement about the milky way is true?

Answers

Answer:

D) it is one of many galaxies

Explanation:

the milky-way galaxy is just one of billions of galaxies, which span billions and billions of light-years across the universe!!!

Answer:

D it is one of many

Explanation:

The Earth's _____
is what gives us day and night

1. Orbit
2. Rotation
3.Revolution

Answers

Answer:

rotation

Explanation:

............................

Answer: 2nd option, Rotation

I hope this helps, and Stay Safe! :)

The area of a 120-turn coil / loop oriented its plane
perpendicular to a 0.20-T magnetic field is 0.050 m². Find the
average induced emf in this coil, if the magnetic field reverses
its direction in 0.34 s.

Answers

The average induced emf in this coil is 3.52 volts.

When a coil is kept inside a changing magnetic field, an emf/voltage is produced inside it which is given by the following formula:

EMF = NBA/t

Here N is the number of turns in the coil

B is the magnetic field in which the coil is kept

A is the area of the coil

T is the time during which the magnetic field reverses its direction

Putting the given values in the above equation,

E = 120 x 0.20 x 0.050/0.34

E = 3.52 volts

Thus, the average induced emf in this coil is 3.52 volts.

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In astrology, what is the name of the zodiac sign represented by the scales?

Answers

The zodiac sign that is represented by the scales is Libra. It is the seventh sign in the astrological calendar, and it is ruled by the planet Venus.

The symbol of the scales represents balance, harmony, and justice, which are some of the core traits associated with Libra. People born under this sign are said to be diplomatic, charming, and sociable.

They have a strong sense of justice and are known to be peacemakers who value harmony in all aspects of life. They are also known to have a good taste in art, music, and fashion. Libra is an air sign, which means that they are intellectual and communicative.

However, they can also be indecisive and prone to procrastination. Overall, Libra is a sign that values harmony and seeks to find balance in all areas of life.

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If the student repeated the experiment by replacing the water in the calorimetry device with an ice bath at 0°C, how would the experimental results differ?

Answers

If the student replaced the water in the calorimetry device with an ice bath at 0°C, the experimental results would differ in several ways:

Temperature Change: Instead of measuring the change in temperature of the water, the student would measure the change in temperature of the ice bath. As heat is transferred from the surroundings to the ice bath, the ice will melt and the temperature of the ice bath will increase until it reaches 0°C. The temperature change observed in the experiment would be different from that of the water bath.
Heat Capacity: The heat capacity of the ice bath would be different from that of the water bath. Ice has a lower heat capacity than water, meaning it requires less heat energy to raise its temperature. This would affect the amount of heat absorbed or released during the reaction and lead to different experimental results.
Enthalpy Change: The enthalpy change calculated from the experiment would be specific to the reaction being studied. However, the enthalpy change determined using an ice bath would be based on the heat exchange with the ice bath, rather than the water bath. The enthalpy change values would differ due to the different heat capacities and temperature changes involved.
Overall, using an ice bath instead of a water bath would result in different temperature changes, heat capacities, and enthalpy change values in the experimental results.

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assume that the lower leg and the foot together have a combined mass of 4.1 kg , and that their combined center of gravity is at the center of the lower leg. how much force must the tendon exert to keep the leg in this position?

Answers

The tendon must exert a force of approximately 20.11 N to keep the leg in this position.

To calculate the force exerted by the tendon to keep the leg in position, we need to find the torque acting on the lower leg and foot due to gravity.

Step 1: Find the gravitational force acting on the lower leg and foot.

Gravitational force (F_gravity) = mass x acceleration due to gravity

\(F_gravity = 4.1 kg * 9.81 m/s^2 ≈ 40.22 N\)

Step 2: Determine the distance from the center of gravity to the pivot point (ankle).

Assume that the lower leg is of length L, and the center of gravity is at the middle of the lower leg.

Distance = L/2

Step 3: Calculate the torque acting on the lower leg and foot due to gravity.

\(Torque = Gravitational force x Distance\)

\(Torque =\) \(40.22 N * (L/2)\)

Step 4: Determine the force exerted by the tendon.

The tendon must exert an equal and opposite torque to keep the leg in position. Thus, the torque exerted by the tendon is equal to the gravitational torque.

\(Torque_tendon = Torque_gravity\)

\(Force_tendon * Lever_arm =\)\(40.22 N * (L/2)\)

Step 5: Solve for the force exerted by the tendon.

Assuming the lever arm is the entire length of the lower leg (L), we can now solve for the force exerted by the tendon.

\(Force_tendon * L = 40.22 N * (L/2)\)

\(Force_tendon = (40.22 N * (L/2)) / L\)

\(Force_tendon ≈ 20.11 N\)

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an elevator is moving from up in a building. as it nears the 6th floor it slows down at a rate of 0.10m/s. a 75 kg man is standing on a scale inside the elevator. what is the scale reading?

Answers

To calculate the scale reading for the 75 kg man in the elevator as it slows down, we need to use the concept of weight. The weight of an object is the force exerted on it due to gravity and is given by the equation:

Weight = mass * gravitational acceleration

where the mass is given as 75 kg and the gravitational acceleration is 9.8 m/s^2.

So the weight of the 75 kg man would be:
Weight = 75 kg * 9.8 m/s^2 = 735 N

Now, when the elevator slows down, there is a force acting on the person in the opposite direction of the motion, called the apparent weight and it is given by the equation:

Apparent weight = weight - normal force

where the normal force is given by:

Normal force = m * a

where m is the mass of the object and a is the acceleration of the elevator.

As the elevator slows down, the acceleration of the elevator is the negative of the deceleration, which is -0.10 m/s^2.

So, the normal force = m * a = 75 kg * -0.10 m/s^2 = -7.5 N

Now, the apparent weight = weight - normal force = 735 N - (-7.5 N) = 735 N + 7.5 N = 742.5 N

So the scale will read 742.5 N or 742.5 kg.

In the figure, the north pole of the magnet is first moved down toward the loop of wire, then withdrawn upward. As viewed from above, the induced current in the loop is A) always clockwise with increasing magnitude B) always clockwise with decreasing magnitude C) always counterclockwise with increasing magnitude D) always counterclockwise with decreasing magnitude E) first counterclockwise, then clockwise-

Answers

In the attached figure, north pole of magnet first moved down toward the loop of wire and withdrawn upward then the induced current in the loop is equals to the first clockwise, then counter-clockwise. So, option(d) is right one.

A magnet is a bar magnetic which produces the magnetic field and attract or reple other objects.

North pole of the magnet faces the loop. First it is move up away from the loop. According to Lenz's law, the induced current in the loop is such that it opposes the cause producing it. So, the current will try to pull back the magnet towards it. We knoe opposite pole attract each other, so the pole induced in the loop should be south. We also know that clockwise current produces a south pole and counterclockwise current produces a north pole. Hence the direction of current is clockwise. Then, the magnet is moved down towards the loop. For similar reasons, the loop will try to push it back up. Hence the current is counterclockwise so as to generate north pole.

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Complete question:

The attached figure complete the question.

In the figure, the north pole of the magnet is first moved down toward the loop of wire, then withdrawn

Not far from the mirror showcase (the figure shows a top view) there is a person (indicated by point H in the figure), and closer to the showcase there is a lamppost (point C). By building, find the positions at which the observer (points H, which are indicated for example and are not the answer) will see in the window: a person to the left of the pillar; the person to the right of the pillar; a pole blocking a person

Answers

The observer (point H) must be positioned to the right of the person and to the left of the lamppost, to the left of the person and to the right of the lamppost, or behind the lamppost to see the person obstructed by it.

To determine the possible positions of the observer (point H) relative to the mirror showcase, we need to consider the given information about the position of the person and the lamppost.

If the person is to the left of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the right of the person and to the left of the lamppost. This is because the mirror will reflect the image of the person to the right, and the observer must be positioned to the right of the reflected image to see it.

If the person is to the right of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the left of the person and to the right of the lamppost. This is because the mirror will reflect the image of the person to the left, and the observer must be positioned to the left of the reflected image to see it.

If the lamppost (point C) obstructs the view of the person as seen in the window, then the observer (point H) must be positioned behind the lamppost, either to the left or to the right of it. This is because the mirror will not be able to reflect the image of the person due to the obstruction caused by the lamppost.

In summary, the possible positions of the observer (point H) relative to the mirror showcase are:

To the right of the person and to the left of the lamppost, to see the person to the left of the lamppost. To the left of the person and to the right of the lamppost, to see the person to the right of the lamppost. To the left or right of the lamppost, behind it, to see the obstruction of the person caused by the lamppost.

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Complete question:

Using the given information, determine the possible positions of the observer (point H) relative to the mirror showcase such that the following are observed:

1 - The person is to the left of the lamppost (point C) as seen in the window.

2 - The person is to the right of the lamppost (point C) as seen in the window.

3 - The lamppost (point C) obstructs the view of the person as seen in the window.

Rainfall from a slow-moving thunderstorm was over 5 inches. This storm led to
the erosion of about 0.2 mm of soil from a field. Express this soil loss in Mg ha-1 (Ton/ha) if the bulk density
of the soil is 1.01 Mg m-3.

Please show your work!
a. 0.202 Mg/ha
b. 2.02 Mg/ha
c. 20.2 Mg/ha

Answers

The soil loss in  \(Mg ha^{-1}\) (Ton/ha) if the bulk density of the soil is 1.01  \(Mg m^{-3}\)  is option a. 0.202 Mg/ha.

For expressing the soil loss in \(Mg ha^{-1}\), need to convert the units appropriately. First, convert the soil loss from millimetres (mm) to meters (m) by dividing it by 1,000 (1 mm = 0.001 m). Thus, the soil loss is 0.0002 m.

Next, calculate the volume of soil lost per unit area (ha). The volume can be obtained by multiplying the soil loss (0.0002 m) by the area (ha). Since the bulk density of the soil is given as 1.01 \(Mg m^{-3}\), can convert the volume to mass by multiplying it by the bulk density.

Using the formula:

Soil loss (Mg ha-1) = Soil loss (m) × Bulk density (\(Mg m^{-3}\)) × Area (ha)

Substituting the values:

Soil loss (\(Mg ha-1\)) = 0.0002 m × 1.01 \(Mg m^{-3}\) × 1 ha

Calculating the result:

Soil loss (\(Mg ha-1\)) = 0.0002 × 1.01 = 0.000202 \(Mg ha-1\)

Therefore, the correct answer is option a. 0.202 Mg/ha.

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