the current in an inductor is changing at 120 a/s and the inductor emf is 51 v. what's the self-inductance?

The statement that is true regarding a distance vs. time graph is option A: The graph should show distance on the vertical axis.

How far an object has come in a certain amount of time is displayed on a distance-time graph. Time is represented on the X-axis and Distance is plotted on the Y-axis (left) (bottom).

On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).

Note that the distance-time graph shows the relationship between distance and time by plotting distance on the y-axis and time on the x-axis.

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Answer:

(Question) Which quantity is scalar?

(Answer) Energy

(Question) Which option describes a vector quantity?

(Answer) It has magnitude, units, and direction.

(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?

(Answer) It describes displacement, which is a vector quantity.

(Question) Which statement is true regarding a distance vs. time graph?

(Answer) The graph should show distance on the vertical axis.

(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates

(Answer) motion in the positive direction.

Explanation:

just finished the quick check UwU

The distance moved by the block as follows by using Law of conservation energy is 0.0173N/m.

Apply law of conservation energy is,

1/2m1v1^2 = 1/2 k1x1^2

k1 = m1 v1^2/x1^2

   =117.5 N/m

1.15 Kg block :-

1/2m2v2^2 = 1/2 k1x2^2

x2 =[tex]\sqrt{m2v2^{2} }[/tex]/ k1

x2 = 0.0173 N/m

According to the law of conservation of energy, a system that isn't connected to any other system has a fixed amount of total energy that is considered to be preserved over time. Energy cannot be created or destroyed; it can only be transformed or transferred from one form to another, Traditionally, conservation of mass and energy were separate concepts. However, special relativity demonstrated how mass and energy are related to one another through the equation E = mc2, and as a result, science now holds that mass-energy are conserved as a whole. This implies that any mass-containing object can theoretically transform into pure energy and vice versa. However, it is thought that this is only feasible under the most extreme physical circumstances, such as those that probably existed in the universe right after the Big Bang or when black holes emit Hawking radiation.

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Light beam pass through the flat surface without deviation, but get refracted (i.e., deflected) at the curved surface on the far side as it may be at 90° to the curved surface.

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mary looked in her science book at a picture of the solar system. the planets were large and colorful but she knew it was not an accurate model. The planets should have been much farther apart.

The gravitationally bound system of the Sun and the satellites in its orbit is referred to as the Solar System. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun is the system's primary mass, accounting for 99.86% of its total mass, with Jupiter making up the majority of the remaining mass. Mercury, Venus, Earth, and Mars are the four planets in the inner solar system, and they are all terrestrial planets with rocky and metallic cores. In comparison to the terrestrial planets, the four giant planets of the outer solar system are significantly bigger and more massive. The two biggest, Jupiter and Saturn, are gas giants made primarily of hydrogen and helium; the next two, Uranus and Neptune, are ice giants made primarily of highly volatile substances.

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Velocity of the arrow while leaving the bow is 33.54 m/s.

Kinetic energy is the energy that an object has when it is in motion. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.

Energy stored in the string = Kinetic energy of the arrow.

1/2(ke²) = 1/2(mv²)

Where k = spring constant of the bowstring

e = extension

m = mass of the arrow

v = velocity of the arrow.

Let's make v the subject of this equation

v = √(ke²/m)

Given: k = 1250 N/m

e = 30 cm or 0.3 m

m = 100 g or 0.1 kg

Substitute the values into the equation:

v = √(1250×0.30²/0.1)

v = √(1125)

v = 33.54 m/s

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The average flow rate is 3.611 cm^3/s

The speed V is = 104Km/h

The velocity of vehicle z is = 8km/l

Qavg = V/Z

         = 104/8 =13

         = 13 (1000)/1(3600)

Qavg = 3.611 cm^3/s

The physical parameters flow rate and velocity are linked yet very distinct. Consider a river's flow rate to help you understand the difference. The flow rate of the river increases as water velocity increases. However, the size of the river also affects the flow rate. The Amazon River in Brazil, for instance, carries much more water than a swift alpine stream. When A is the cross-sectional area and v is the average velocity, the flow rate Q and velocity v are precisely related. This equation seems to make sense. According to the relationship, the size of a river, pipe, or other body of water as well as the magnitude of the average velocity (hereinafter referred to as the speed) directly affect the flow rate.

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Bernoulli's principle produces a lift of  3770928N on a 87m²wing.

According to Bernoulli's principle, areas of a fluid flow that are moving more quickly will experience less pressure than areas that are moving more slowly.

The following memorable word equation serves as a concise summary of Bernoulli's equation in its simplified form: Total pressure equals static pressure plus dynamic pressure. Regardless of the fluid speed at a given position, every point in a constantly flowing fluid has a distinct static pressure (p) and dynamic pressure (q).

Bernoulli's principle states that the following expression represents force:

F = A × d × V²₂ - V₁²/2

F = 87 × 1.29 × (250² - 170²)/2

F = 112.23 × 33600

F = 3770928N

As a result, a wing with an area of 87 m² has a lift of 3770928N.

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Answer: the coefficient would be either 4 or 5

Explanation:

In rotations per second, the rotation rate is The angular speed in revolutions per second can then be converted to radians per second by dividing that time by 10.

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any object moving in a circle with an acceleration vector pointing in the direction of the circle's center.

An object must continuously change directions in order to maintain circular motion. Changes in direction result in changes in velocity because velocity is a vector. Centripetal acceleration is the term for the change in velocity caused by circular motion.

A net force that keeps an object moving in a circular motion is known as a centripetal force. Examples of centripetal force include the rotation of the top and the moon's orbit around the earth.

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Since, we know that magnetic field is always perpendicular to the z axis or electric field.

Calculation:-

lambda = 2.8m

v = 3*10^8m/s

v = f(lambda)

(a) f = 1.07*10^8hz

(b)angular frequency = 2pif

= 6.72*10^8rad/s

(c) wave number = 2pi/lambda

= 2.24

(d) B=E/c

= 300/(3*10^8)

=10^-6Tesla

(e) Magnetic discipline is perpendicular to wave propagation and electric powered subject

The magnetic discipline is perpendicular to the z-axis.

Electromagnetic waves are non-mechanical waves. Electromagnetic waves do no longer require a medium to propagate and may without problems pass via a vacuum. Electromagnetic waves propagate in all guidelines from the source of interference. The wave will keep transferring till something interrupts it. Electromagnetic waves vary from mechanical waves in that they do no longer require a medium for propagation.

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The minimum angular spread due to diffraction is 633×10⁻⁹m.

The spread of the spot (obtained on the opposite wall of the camera) is thought to equal the total of its geometrical spread and the spread caused by diffraction when the hole is lit by a parallel beam of light with wavelength lambda.

When waves flow through an aperture or around objects, they spread out, which is referred to as diffraction. It happens when the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude. The majority of the wave is blocked at extremely small aperture diameters.

Minimum angular spread due to diffraction (θ) =  λ/b

Given.

Wavelength = 633nm = 633×10⁻⁹m

Beam diameter is 1mm.

Minimum angular spread due to diffraction (θ) =  633×10⁻⁹m/1

Minimum angular spread due to diffraction (θ) =  633×10⁻⁹m.

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With a negative acceleration, the skateboard's beginning velocity will be higher than its end velocity.

The correcty answer is 1

Based on the assumption that the object's energy is conserved, its velocity equals the square root of twice square product of the its acceleration or the distance it travels. This relationship also depends on the object's initial velocity.

When gravity first exerts force on an object, its initial velocity indicates how quickly it moves. The final velocity, on the other hand, is a vector quantity that determines the rate and direction of the a moving body when it has reached its maximum velocity.

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The coefficient of kinetic friction among the floor and the field is 0.092.

Friction is a form of touch force. It exists among the surfaces which might be in touch. The frictional pressure depends at the person of the surface in touch. The rougher the ground, the greater the friction is worried. The frictional force is proportional to the pressing pressure, it's the load of the frame. it is independent of the region of the contact.

Calculation:-

mass = 5 kg

distance travelled = 5 m

initial speed = 3 m/s

v² = u² -2as

a = u²/2s

 = 3²/2 × 5

 = 0.9 m/s²

F = μkN

ma = μkmg

5×0.9 = μk 5 ×9.8

μk = 4.5/49

     = 0.092

Friction is the force resisting the relative movement of strong surfaces, fluid layers, and material factors sliding in opposition to every different. There are numerous forms of friction: Dry friction is a strain that opposes the relative lateral motion of two strong surfaces in touch.

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The tension when the stick is at six o clock will be 17.96 N and when the stick will be on 12 o clock the tension will be 14.04 N.

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We can conclude that Recognizing herself. The process of reflecting light rays that fall on a polished surface is known as reflection of light.

It assists us in gaining understanding and determining how to proceed. The wave front returns to the medium from which it originated is referred to as reflection. Reflection of light, sound, and water waves are common examples.

Reflection is the process of investigating and analyzing oneself, one's perspectives, characteristics, experiences, and actions / interactions. It assists us in gaining understanding and determining how to proceed.

The process of reflecting light rays that fall on a polished surface is known as reflection of light. The angle of reflection is always equal to the angle of incidence, according to reflection laws. (ii) The incident, reflected, and normal rays all lie in the same plane.

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Recognizing herself, we can infer. Reflection of light is the process of reflecting light rays that strike a polished surface.

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The sun's intensity for an outer planet located at a distance 6r from the sun is 5.55 W/m². The result is obtained by using the inverse square law formula.

The Inverse Square Law formula describes the intensity of light is inversely proportional to the square of the distance. It can be expressed as

[tex]\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}[/tex]

Where

Given the case the sun's intensity is 200 W/m² for an inner planet at the distance r. If an outer planet is at a distance 6r, what is the sun's intensity?

By using the inverse square law formula, the sun's intensity for an outer planet is

[tex]\frac{I_{1} }{I_{2} } = \frac{d_{2}^{2} }{d_{1}^{2}}[/tex]

[tex]\frac{200 }{I_{2} } = \frac{(6r)^{2} }{r^{2}}[/tex]

[tex]\frac{200 }{I_{2} } = \frac{36r^{2} }{r^{2}}[/tex]

[tex]I_{2} = \frac{200} {36}[/tex]

I₂ = 5.55 W/m²

Hence, the sun's intensity for a planet at a distance 6r from the sun is 5.55 W/m².

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The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.

In this case, the formula for energy and frequency is given as follows:

E = Hv

Where

E - Energy (in eV)

h - Planck's constant (4.1357 x 10⁻15 eVs)

v-frequency (in Hz)

v = c/λ

Where,

v - frequency (Hz)

c - speed of light (3x 10⁸) ms⁻¹

λ - wavelength (in meters)

The energy of the photon for Red light is given as follows:

E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 1.902 eV

Frequency is given as:

v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]

v = 4.6 x 10¹⁴Hz

For Green light:

Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 2.234 eV

Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]

v = 5.4 x 10¹⁴Hz

For Blue light:

Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 2.729 eV

Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]

v = 6.6 x 10¹⁴Hz

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When two waves collide while moving across the same medium, wave interference is the result.

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The waves that are reflected off the glass on the top and bottom surfaces of the air wedge interfere, which results in these bands. Interference between light waves reflected from the thin film's two sides.

Electromagnetic radiation of a certain wavelength, whether visible or invisible, is monochromatic light.

Although in theory monochromatic light has exactly one wavelength, this is not practical, hence monochromatic light always comprises of a (relatively) narrow bandwidth of wavelengths. The color that the human eye can see when monochromatic light is in the visible spectral range is referred to as the spectral color. Lasers produce monochromatic light directly; a monochromator separates monochromatic light from a broadband light source.

Monochromatic light should only have one wavelength, according to theory. Monochromatic light is actually defined as having a narrow bandwidth.

A monochromator can be used to separate monochromatic light from polychromatic light.

In the visible wavelength range, monochromatic light is regarded as having spectral color.

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we would still orbit it in a period of one year if the Sun were to be replaced with an equally huge black hole.

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The vehicle needs to do 515872.5 Joule of labor in order to reduce its speed from 25 m/s to 12 m/s when a small truck has a mass of 2095 kg.

What exactly is speed?

the rate at which the position of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Speed is a scalar quantity because it has no magnitude and only a direction. The SI unit of speed is made up of the fundamental units of time and distance. The speed measurement in the metric system is measured in meters per second. Work is defined as the energy that is moved to or from an item by exerting force along a displacement.  It is easiest to express as the product of force magnitude and distance traveled with a constant force acting in the same direction as the motion.

According to the International System of Units, a joule is a unit of work.

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The efficiency of the machine is ξ= 50%.

Given - 20 joules and 30 joules are input and output work of the system respectively.

To find the efficiency of the system.

principle ;- Efficiency represents the capability of a system to do work .

Mathematically , efficiency has an equation that relates the input and output work and accurately provides the result.

Formula  -   ξ= οₙ/Iₙ x 100

οₙ = output work , Iₙ= input work

Calculations :-  ξ= { 10/20 }x 100

ξ= 50%

Result- The Efficiency of the machine is 50%.

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Work done on sphere is 10500 J.

Kinetic energy = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]

I = 2/5 [tex]m R^{2}[/tex]

w = [tex]\frac{v}{r}[/tex]

Now, put these values in formula KE = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]

KE = 10500 J

Now, by work energy theorem

Work done = 10500 - 0 = 10500 J

Hence, Work done on sphere is 10500 J.

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The average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second is 4.16 ms.

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3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation

There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is  Force = mass * acceleration

All the given data in the table follows this relation except where

mass = 150 kg

a = 0.67 [tex]m/s^{2}[/tex]

F (given ) = 100 N

calculated force = ma = 150 * 0.67 =  100.5 N

mass = 300 kg

force (given) = 100 N

a = 0.33 [tex]m/s^{2}[/tex]

calculated force = ma = 300 * 0.33 = 99 N

rest of the data completely follow the equation F = ma

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Therefore, the lunch speed of the box is 3.72m/s

What is  kinetic friction ?

Kinetic friction is a force that exists between moving surfaces. A body moving on the surface is subjected to a force that is directed in the opposite direction of its movement. The size of the force is determined by the kinetic friction coefficient of the two materials.

Friction is simply the force that holds a sliding object back. Kinetic friction is present in everything and interferes with the motion of two or more objects. The force acts in the opposite direction of the object's desire to slide.

The integration of force due to spring with respect to spring is equal to the potential energy of the spring.

U=∫-Fdx

Here, U is the potential energy.

U= 1/2k[tex]x^{2}[/tex]

U= 1.8J

The final kinetic energy of the box is,

K= 1/2m[tex]v^{2}[/tex]

v=3.72m/s

The system's total potential energy equals the work done owing to kinetic friction. Using the law of conservation of energy, the sum of the energies obtained before compressing the spring equals the sum of energies obtained after expanding the spring.

Therefore, the lunch speed of the box is 3.72m/s

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The single color of light illuminating a ripe banana will make it appear black will be blue light.

When lit with blue light, ripe bananas appear black. Yellow is a combination of red and green, so if blue light is flashed onto a yellow banana, the fruit will absorb the blue light, leaving nothing for the banana to reflect. The banana seems black to the eyes because there is nothing for them to reflect back to them. So, when viewed with blue light, a ripe banana appears black.

A red shirt would seem black if only blue light were shined on it because no red light would be there to reflect the blue light, which would otherwise absorb it. Ripe bananas adhere to the same standard and also white objects, which seem white because they reflect all colors.

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The final velocity of the orange will be equal to 21.27 m/s.

The equations of motion have established the relationship between the acceleration, velocity, time, and displacement (s) of a moving object.

The equations of motions can be mathematically expressed as:

[tex]v = u +at\\S=ut +\frac{1}{2}at^2\\ v^2-u^2=2aS[/tex]

Given, the velocity of the orange was at rest initially, therefore, u = 0

The time taken by the orange to fall, t = 2.17 s

The acceleration of orange due to gravity, g = 9.8 m/s²

From the first equation of motion, we can find the final velocity after 2.17 s:

v = u +gt

v = 0 + (9.8) × 2.17

v = 21.27 m/s

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The work done by the child on the wagon is 158.4 J

Work done is defined as the product of the force applied on the object and the component of distance traveled by the object in the direction of the force. Mathematically,

W = FdCosθ

where,

W = work done = ?

F = force applied = 16 N

d = displacement = 10 m

θ = angle of inclination = 25°

Therefore,

W = (16 N) (10 m)Cos(25°)

W = 158.4 J

Hence, work done by the child on the wagon is 158.4 J

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On the moon, where gravity accelerates at 1.62 m/s2, an astronaut weighs 99 n, but their weight on Earth is 600 Newton(option a is correct).

Work done = Mass * Acceleration due to gravity

99=m*1.62 

m=61.11kg

W=mg 61.11*9.8=598.89N = 600N= Weight on Earth

The acceleration of an item refers to the pace at which its velocity with respect to time varies. The number of accelerations in a vector (in that they have magnitude and direction). An object's acceleration in respect to a net force is determined by the direction of that force. Newton's Second Law states that the combined effects of two elements determine how much an item accelerates:

The amount of this net resultant force is exactly proportional to the size of the net balance of all external forces operating on that item. Depending on the materials used in construction, mass and mass are inversely connected.

Acceleration is measured in meters per second squared (m/s2).

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