Two long, straight wires are separated by a distance of 12.2 cm and carry parallel currents. One wire carries a current of 2.51 A ; the other carries a current of 4.33 A. What is the magnitude of the total magnetic field midway between the two wires?

Convert to m/s

\(\\ \tt\longmapsto 108\times \dfrac{5}{18}\)

\(\\ \tt\longmapsto 30m/s\)

\(\\ \tt\longmapsto Distance=Velocity\times Time\)

\(\\ \tt\longmapsto Distance=30(30)\)

\(\\ \tt\longmapsto Distance=900m\)

Answer:

The ans is Radiation

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The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law).

Hot-air balloon flight can be explained by the combined principles of Charles's Law, Archimedes' Principle, and Boyle's Law.

Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming the pressure remains constant. In the case of a hot-air balloon, the air inside the balloon is heated, causing the gas molecules to move faster and increase in temperature. As a result, the volume of the gas expands, leading to an increase in the volume of the balloon.

Archimedes' Principle states that an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. In the context of a hot-air balloon, the heated air inside the balloon is less dense than the surrounding cool air. The buoyant force acting on the balloon is equal to the weight of the air displaced by the balloon. This buoyant force is greater than the weight of the balloon itself and the payload, causing the balloon to rise.

Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming the temperature remains constant. When the air inside the balloon is heated, the volume increases. As a result, the pressure inside the balloon decreases relative to the surrounding air pressure. The pressure difference creates a net upward force, contributing to the balloon's ascent.

In summary, the combined effects of Charles's Law, Archimedes' Principle, and Boyle's Law explain hot-air balloon flight. The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law). The buoyant force (Archimedes' Principle) acting on the less dense heated air allows the balloon to rise.

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Answer:

μ = 0.1

Explanation:

In order to keep the car on circular track, the centripetal force must be equal to the frictional force between tires and track:

Frictional Force = Centripetal Force

μmg = mv²/r

μ = v²/gr

where,

μ = coefficient of friction = ?

v = speed of car = 10 m/s

g = 9.8 m/s²

r = radius of track = 100 m

Therefore,

μ = (10 m/s)²/(9.8 m/s²)(100 m)

μ = 0.1

Answer: 28.1

Explanation:

The total energy of the ball is the sum of its kinetic and potential energy. It is equal to 792 J. Then, the final velocity of ball when its strikes the ground is 28.1 m/s.

Kinetic energy of an object is the energy gained by its motion whereas, potential energy is stored on the object when the object is at rest.

The total mechanical energy of the ball = Ke + Pe

given, mass of the ball = 2 Kg

height h= 20 m

initial velocity = 20 m/s

Then total energy = 1/2 mv² + mgh =  2 kg  [(1/2(20 m/s)² + 9.8 m/s² ×20 m ] = 792 J.

The final velocity Vf = √(2E/m) =√(2×792 J/m)/2 Kg = 28.1 m/s

Therefore, the final velocity of the ball will be 28.1 m/s.

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Answer:

(2,-9)

Explanation:

Reflection over the y-axis:

As a general rule any point (x, y) reflected over the y-axis becomes ( -x, y)

The y-axis acts like a mirror.

Reflect (-2, 9) over the y-axis:

The point (-2,-9) reflected over the y-axis becomes point ( 2,-9)

The wavelength of yellow light is \(5.77\times10^{-7}\) meters.

Given that, Yellow light has a frequency of \(5.2\times10^{14}\;\rm Hz\) and travels at a speed of  \(3.0\times10^8\;\rm m/s\).

The wavelength of the yellow light can be calculated by the formula given below.

\(\nu \times\lambda=c\\\)

Where \(c\) is the speed of light in m/s. \(\nu\) is the frequency of the light in Hz. And \(\lambda\) is the wavelength of the light.

Substituting the value of frequency and speed of light in the above formula, the wavelength of the light is,

\(5.2\times10^{14}\times\lambda=3.0\times10^8\)

\(\lambda = 5.77\times10^{-7}\;\rm m\)

The wavelength of yellow light is \(5.77\times10^{-7}\) meters.

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The wavelength of the yellow light is 5.77×10¯⁷ m

The velocity, frequency and wavelength of a wave are related according to the following equation:

Velocity = wavelength x frequency

v = λf

With the above formula, we can obtain the wavelength of the yellow light as follow:

v = λf

3×10⁸ = λ × 5.2×10¹⁴

Divide both side by 5.2×10¹⁴

λ = 3×10⁸ / 5.2×10¹⁴

λ = 5.77×10¯⁷ m

Thus, the wavelength of the yellow light is 5.77×10¯⁷ m

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The switch that must be opened in order to create an open circuit is A. Switch 2. The correct option is A.

A short circuit occurs when there is an unintended connection of low resistance that bypasses the normal load or current path. It creates a pathway for a large amount of current to flow, potentially causing overheating, damage, or even electrical hazards.

In order to avoid short circuits, circuit designers incorporate protective devices such as fuses or circuit breakers. These components detect excessive current and interrupt the circuit to prevent damage.

If you leave switch 2 closed, there will be a short circuit because the current will go through the path of less resistance, therefore selecting the line where switch 2 is located, and avoiding all other branches where the resistors are placed.

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If there is a significant difference in the currents flowing at two locations in the circuit, it is likely due to differences in the resistance of the components present.

It is difficult to answer your question without knowing the specific locations in the circuit you are referring to. However, in general, the current flowing through different parts of a circuit can vary depending on the components present and their respective resistances.

If there are resistors in one part of the circuit that are higher than those in another part, the current may be lower in the former. Conversely, if there are fewer resistors in one part of the circuit,

the current may be higher there. It is important to note that current is conserved in a circuit, meaning that the total current flowing in is equal to the total current flowing out.

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Answer:

2m/s square

Explanation:

Using current technology, the estimated mass of rock that could be reached by a mine drilling into the surface of the Earth can be calculated by assuming a uniform density of the Earth's crust and making certain assumptions.

To estimate the mass of rock that could be reached by a mine drilling into the Earth's surface, we can make several assumptions. First, we assume a uniform density of the Earth's crust throughout the depth being considered.

Second, we assume that the mine would be able to continue drilling without encountering any major obstacles or structural limitations.

Given that the deepest mines currently extend approximately 2.5 miles (or 4 kilometers) into the ground, we can calculate the volume of the rock that could be reached. Assuming a cylindrical shape, the volume V is given by:

V = πr²h

where r is the radius and h is the height (depth) of the mine. Assuming a uniform density, the mass M of the rock can be calculated by multiplying the volume by the density ρ:

M = V * ρ

However, it is important to note that this estimate is based on assumptions and several uncertainties exist. The Earth's crust is not uniformly dense, and variations in density can occur at different depths.

Additionally, drilling at extreme depths may pose technical challenges and limitations. Therefore, while the calculation provides an estimate, the actual mass of rock that could be reached may vary significantly.

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Impact of the car with the object. There are two collisions that happen during a crash, the first one is the impact of the car with the object and the second one is the impact of the passengers with the car's interior.

The main answer to the question is "a)

Both of these collisions are responsible for the injuries of the passengers and the extent of damage to the car. In the first collision, the car's energy is absorbed by the object or surface it collides with, causing damage to the car and the passengers inside.

The second collision is when the passengers' bodies collide with the interior of the car, including the steering wheel, dashboard, doors, windows, and so on. lt in death in severe cases.In conclusion, the main collision that happens during a crash is the impact of the car with the object, which causes damage to the car and the passengers inside.

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In a car crash, two collisions occur. The impact of the car with the object it hits, and the impact of the occupants with the interior of the car. The aim is always to lengthen these collisions to reduce the forces involved, hence reducing injuries.

During a car crash, there are primarily two collisions that happen. The first collision is the impact of the car with the object. This could be another vehicle, a tree, or a wall. The momentum of the car changes during this time, leading to an abrupt stop or change in direction. The force exerted on the car will be less if this collision time is prolonged, which is why cars are manufactured to crumple upon impact, resulting in a lengthier, less forceful collision.

The second collision occurs between the occupants of the car and the interior of the car. When the car abruptly stops or changes direction, the passengers continue to move at the original speed due to inertia. This might lead to impacts with the dashboard, windscreen, or seat in front. To decrease the force acted upon the bodies of the passengers during this second collision, car safety equipment such as seatbelts and airbags are used. These gadgets increase the collision time, hence reducing the force with which the passengers might collide with the car's interior.

Therefore, the correct response to your question would be the impact of the car with the object.

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Answer:

hydrochlorine +12÷B to the power of 4 -× y reapeated zminus 2 to the power of 9

Yes, it is feasible for the larger force to induce less torque than smaller force when two unequal forces are applied to a rigid body.

Objects making contact each other exert a force on one another known as contact force. The region of direct contact of two objects is where the contact force acts. This force may be brief in the guise of an impulse or it may be continuous as both a continuous force. Newton's Law covers contact force.

Torque = rFsin(θ)

It is feasible for a larger force to generate less torque than a smaller force if it acts at a closer distance than that of the smaller force.

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Answer: 1*10^3 mm^3

That’s it

Answer:

83.33s

Explanation:

velocity=300km/hr ,acceleration =1m/s2

But before we can make this calculation,we have to make sure that both the acceleration and velocity are in the same units.So I decided to Chang the velocity to m/s.

Converting 300km/hr into m/s;

Changing 300km into m=300000m

Changing 1hr into secs=3600sec

Velocity in m/s=83.33m/s

But Time =velocity/acceleration

=83.33/1

=83.33sec

You have to decide what you want.  Your question says "Find the average velocity", but the choices you listed are all times, not velocities.

(300 km/hr) x (1 hr / 3600 sec) = 83.33 meters/sec

-- If the airplane starts from rest and accelerates uniformly at 1 m/s², it'll take 83.33 seconds to reach takeoff speed.

-- If it starts from rest and accelerates uniformly to 83.33 m/s, then its average speed is 41.67 m/s no matter what its acceleration may be.

The acceleration of each block is 1.225m/s^2

The string exerts 2.315N on 210g block, and 2.976N on 270g block

It will take 1.28s for each block to traverse

Part a

Acceleration, a of the block:

m1=270g

m2=210g

g=9.8

Acceleration=(m1-m2)*g/(m1+m2)

                    =(270-210)*9.8/(270+210)

                    =1.225m/s^2

Part b

Force that the string exerts on each block:

Force, T1 on smaller block:

T1=m2(g+a), where m2=0.21kg, g=9.8, and a=1.225m/s^2

T1=0.21(9.8+1.225)

T1=2.315N

Force exerted on smaller block=2.315N

Force, T2 on larger block

Here, m1=0.27kg, g=9.8, and a=1.225m/s^2

T2=0.27(9.8+1.225)

    =2.976N

Force exerted on larger block=2.976N

Part c

How long it will take each block to traverse 1.0m

h=1.0m

a=1.225m/s^2

\(t=\sqrt{\frac{2h}{a} }\)

\(t=\sqrt{\frac{2*1}{1.225} }\)

t=1.28s

The question was incomplete, complete question is given below:

A person holds a 210-g block that is connected to a 270-g block by a string going over a light pulley with no friction in the bearing (an Atwood machine). After the person releases the 210-g block, it starts moving upward and the heavier block descends. Part A: What is the acceleration of each block? Part B: What is the force that the string exerts on each block? Part C: How long will it take each block to traverse 1.0 m?

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1)Average speed = 8y/s

2)Average velocity= 0.88y/s

Average speed depends on the distance whereas average velocity depends on the displacement . Speed is a scalar quantity while average velocity is a vector quantity.

Let us assume, L=100 yards as the length of the football field.

1)We know that average speed is the total distance covered by the player divided by the time taken.

Total distance covered to go from one goal line to the other and then back to the 20-yards line is:

s= 100y + (100-20)y

= 100y+ 80y

=180y

Given, time t=22.5 s,

Now, the average speed of the player is:

v= s/t

= 180y/22.5

= 8 y/s

2)To calculate the magnitude of average velocity, we have to consider the direction and sign of the velocity.

In the beginning, the player goes from one goal line to the other one, so he covers 100 y. But, in the second part of the motion he goes back by 80 y. Hence, the net displacement of the player is:

s= 100y-80y= 20y

now, the average velocity is:

v= s/t

=20/22.5

= 0.88 y/s.

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When a comet comes near the Sun, its volatile ice sublimates and changes directly from the solid to the gas phase.

Comets are cosmic snowballs of frozen gases, dust, and rocks, orbiting the Sun. When frozen, comets are the size of a small town. As the comet's orbit approaches the Sun, it heats up, spewing gases and dust onto its giant glowing head, larger than most planets.

Comets vaporize when their orbits come to close to the Sun. Comets do not melt in the strict sense of chinging to liquid. However, since they are made up partly of ice and other volatile compounds, comets vaporize (turn directly to gas) when warmed in the vacuum of space by orbiting near the sun.

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Answer:

A theory

Explanation:

No, the person who answered above is incorrect. I just took the assessment and I can guarantee you the answer is "a theory".

-Lexi

The wavelength associated with the particle of mass 1 mg and velocity

1 km/s is 6.63 x \(10^{-31}\) m.

We have a particle moving with certain velocity.

We have to calculate the wavelength associated with the particle.

According to de - Broglie, the wavelength of the wave associated with the moving particle is -

λ = h/mv

Where -

h -  Planck's constant

mv - Momentum of particle

According to the question -

Mass = 1 mg =  10⁻⁶ Kg

velocity = 1 Km/s = 1000 m/s

Using the formula for de - Broglie wavelength discussed above -

Momentum = mv = 10⁻⁶ x 10³ = 10⁻³ Kg m/s

now -

λ = h/10⁻³ = 6.63 x 10⁻³⁴/10⁻³ = 6.63 x 10⁻³¹ m

Hence, the wavelength associated with the particle is 6.63 x 10⁻³¹  m.

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Explanation:

In general, hot wet climates accelerate chemical weathering while cold dry climates accelerate physical weathering. Although the rate of weathering depends on the type of rock, rocks in tropical climates experience the highest rates of weathering because of the combination of high heat and heavy rainfall.

The normal force at point C is the force exerted perpendicular to the beam. Since the beam is in equilibrium, the sum of all forces in the vertical direction is equal to zero. Therefore, the normal force at point C will be equal in magnitude and opposite in direction to the total vertical force acting on the beam.

2. Shear force: The shear force at point C is the force acting parallel to the beam, causing it to shear or slide. To determine the shear force at point C, we need to consider the forces acting on either side of point C and take the sign convention into account. If we take the left side of point C, the shear force will be positive if it acts in the upward direction and negative if it acts in the downward direction. Similarly, if we take the right side of point C, the shear force will be positive if it acts in the downward direction and negative if it acts in the upward direction. We need to sum up the vertical forces on either side of point C and determine the difference to find the shear force at point C.

3. Moment: The moment at point C is the turning effect caused by the forces acting on either side of point C. To determine the moment at point C, we need to consider the forces acting on either side of point C and their perpendicular distances from point C. Again, we need to take the sign convention into account. Clockwise moments are considered positive, while counterclockwise moments are considered negative. We need to calculate the moments caused by the forces on either side of point C and determine the algebraic sum to find the moment at point C.

By applying these steps, we can determine the normal force, shear force, and moment at point C.

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Answer:

100m/s

Explanation:

speed of wave=frequency × wave length

=10 × 10

=100m/s

Answer:

100 m/s

Explanation:

Formula :

Solving using the given values :

Explanation:

A car travels north on the highway for 125 kilometers, then turns west for 75 kilometers, then makes a u-turn and travels south for 125 kilometers.

A. To determine the displacement of the car, you would need to calculate the final position of the car relative to its initial position. In this case, the car traveled north for 125 km, then west for 75 km, and then south for 125 km. This means the car ends up in the same place it started (125 km south of its starting point), so the displacement would be 0 km.

Anthony has 25 kilograms of sand, while Juan has 60 pounds of sand. To determine which of the two boys has the most amount of sand, we need to convert the weight of the sand from pounds to kilograms. 60 pounds is approximately 27.2 kilograms. So Juan has 27.2 kilograms of sand and Anthony has 25 kilograms of sand. Anthony has more sand.

A horse runs with a velocity of 15 km/hr towards the north for 90 minutes. To determine the displacement of the horse, you would need to calculate the distance traveled by the horse. You can use the formula: Displacement = velocity x time. In this case, the velocity is 15 km/hr and the time is 90 minutes (converted to hours). So, Displacement = 15 x (90/60) = 22.5 km towards the North.

To measure the frictional torque exerted on the platform while it rotates, the student should use an experimental procedure involving a few different pieces of apparatus.

A form of force known as friction opposes the motion of two surfaces coming into contact. When two objects come into contact with one another, this force makes them oppose motion. Friction is what causes things to move more slowly, keeps them from slipping and sliding, and gives us a hold as we walk. It enables us to push or drag objects around as needed. The surface materials, surface area in contact, and pressure applied all affect how much friction there is between two objects.

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In contrast to the fact that the chemical species in salt solution (hydrated sodium and chlorine ions) differ from those in solid salt, the dissolution of salt in water is typically seen as a physical change.

The presence of soluble salts raises the boiling point of water because sodium chloride dissolves into sodium and chlorine ions, making salt a non-volatile solute that is responsible for this effect. Because salt has a positive and a negative side, making it polar, and because water is also polar and polar molecules are attracted to other polar molecules, when salt is immersed in water, its atoms begin to separate from one another, causing the molecule to rip apart.

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