A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire. (a) Find the magnitude of the magnetic force on a section of the wire having a length of 14.0cm.

An object which has a mass of 70 kg is sitting on a cliff 10 m high. the object's potential energy is 7,000 J

Given: m = 70 kg in mass Height h = 10 m and acceleration g = 10 m/s2

Required. Potential Energy of Gravitation, or P.E

Equation: P.E = mgh

= (70 Kg)(10 m/s²) ( 10 m)

P.E. equals 7,000 kg/m2 or

P.E = 7,000 J

Scottish physicist William Rankine initially used the word "potential energy" in the 19th century, and it has since become a cornerstone of the science. Because of their location, which makes them position relative, items that have this energy stored in them have the capacity to unleash it.

Our knowledge of the cosmos and how we fit into it depends on potential energy. In fact, potential energy and the labour necessary to move an item are determined by the position of the object in the universe.

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Answer:

A =150

I think it will help you bro

6 hours long, give or take a few minutes, you need to wait to see them arranged in a horizontal line if, at 8 pm, you see that the pointer stars of the big dipper and the star Polaris are arranged in a vertical line.

The two prominent stars in Ursa Major known as the Pointer Stars can be utilized to locate Polaris, the North Star. The Big Dipper asterism includes the two stars Dubhe and Merak (Alpha and Beta Ursae Majoris). They trace the bowl of the Dipper's exterior. The direction of the North Star is indicated with a line that runs from Merak via Dubhe. Because it identifies the location of the celestial north pole, Polaris is significant in navigation. While other stars and constellations seem to revolve around it, the star is constantly found in the same location in the sky throughout the year.

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If the distance d is much greater than the length of the wire, then intuitively, the magnitude of the electric field at point p should be very large. This is because a strong electric field will cause an increase in current flow through any metal conductor. In this case, due to how greater d is compared to l, there would likely be a significant amount of electricity flowing through both wire and ground.

It will happen as a result of a stronger field and more room between charges. In order to determine this magnitude, one method is to apply Coulomb's Law, which stipulates that:

E=q×C where,

E is the electric field.

q is charge per unit area.

C is the amount of charge held by a object.

Coulomb's law can be derived from the principle of electrostatics. This states that an electrical force is equal and opposite to the electric field at any point in space. In other words, if you charge a capacitor up with electricity, the voltages on each terminal will oppose one another and cause a Force between them (Coulomb's Law).

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's' increases at all times that Rock X falls since Rock X falls with a greater velocity than Rock Y.

The friction force is the opposite force generated when two parts slide over each other if the air is passing over the rocks the frictional force would be the drag force.

Given: Frictional forces are considered to be negligible.

A few seconds after Rock X is released from rest, Rock Y is also released. Consider moving downward to be constructive. Both rocks are launched from rest, thus their initial velocities are equal to zero (u = 0).

We know that the velocity is given by,

v² = u² + 2as

Rock X is released first, followed by Rock Y, and because Rock X travels faster than Rock Y, it travels farther. This is due to the fact that whenever Rock X has already acquired some velocity (t).

Its velocity (v) is higher, increasing the spacing (s). In conclusion, because Rock X falls faster than Rock Y,'s' rises each time Rock X hits the ground.

The complete question is given below:-

Rock X is released from rest at the top of a cliff that is on Earth. A short time later, Rock Y is released from rest from the same location as Rock X. Both rocks fall for several seconds before landing on the ground directly below the cliff. Frictional forces are considered to be negligible. After Rock Y is released from rest several seconds after Rock X is released from rest, what happens to the separation distance S between the rocks as they fall but before they reach the ground, and why? Take the positive direction to be downward.

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Takeoff speed will be 9.52 m/s

Given,

Vertical leap = Distance covered, S = 4.62 m

According to the Third Equation of Motion which relates Initial and final velocities with the distance and acceleration, we can say that

[tex]v^{2} = u^{2} + 2as[/tex]

v = 0 m/s (final speed)

a = g = -9.81 m/s² ('a' is taken negative because acceleration is acting towards the ground)

S = 4.62 m

So according to the equation,

u² = - 2 * (-9.81) * 4.62

u² = 90.644

[tex]u = \sqrt{90.644}[/tex]

u = 9.52 m/s

Therefore the initial speed or the takeoff speed of Michael Jordan for the Vertical leap of 4.62m will be 9.52 m/s.

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The rate of increase of the current in the given circuit is determined as 6.67 A/s.

The rate at which the current increases is calculated as follows;

E = L(di/dt)

where;

The rate of increase of the current is calculated as follows;

di/dt = E/L

di/dt = 100 / 15

di/dt = 6.67 A/s

Thus, the rate of increase of the current in the given circuit is determined as 6.67 A/s.

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The new value of the temperature is T₂ = 2T₁ and the new value of the wavelength with the highest intensity is λ₂ = (1/2) λ₁.

Using Stefan's equation, which states that the power of the emitted radiation will be proportional to the fourth power of the absolute temperature, we treat the filament of the evacuated light bulb as a black body.

P = σ AeT⁴

Where Ais the surface area of the emitter, σ is Stefan's constant, and e is the emissivity of the surface.

Now, from Stefan's Law, the radiated power is proportional to the fourth power of temperature.

P =IV

IV ∝ T⁴

Therefore,

I₁ V₁ / (I₂ V₂) = (T₁ / T₂)⁴

T₁ / T₂ = (I₁ V₁ / I₂ V₂)^{1/4}

T₂ = T₂ [ (I₁ V₁ / I₂ V₂)^{1/4} ]

Now we have,

I₂ = 2I₁ and

V₂ = 8V₁

Therefore,

T₂ = T₁ [ (2I₁ )(8V₁)/(I₁ V₁) ]^{1/4}

T₂ = T₁ (16)^{1/4}

T₂ = 2T₁

Let λ₁ be the wavelength emitted with the highest intensity initially and λ₂ be the wavelength emitted with the highest intensity after the change.

Then by Wiens law:

λ₁ T₁ = λ₂ T₂

λ₁ T₁ = λ₂ (2T₁)

λ₂ = (1/2) λ₁

Therefore, the new value of the wavelength is 1/2 λ₁.

The correct option is (d).

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The scientific experiments are performed under controlled conditions, which can be considered characteristic of science, therefore the correct answer is option C.

The deliberate, empirically supported pursuit and application of knowledge and understanding of the natural and social worlds are what is known as science.

Science is characterized by the controlled environments in which experiments and observations are made.

Thus, option C is the proper response.

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Basically what determines how long a projectile that has been launched from ground level is in the air are: the initial velocity and the effect of the force of gravity.

The time of flight of a projectile is defined by the following equation:

t(of)=2*t max

Where:

The maximum time is defined by the following equation:

t max = v₀/ g

Where:

That means that the higher the initial launch velocity, the longer the projectile will be in the air.

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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The  force vector that has a magnitude of 12.0 N. and is oriented 60° to the left of the (y) has the followings components:

To solve this exercise the formulas and procedures we will use are:

Where:

Information about the problem:

Applying the formula of the component of the vector in the (x) axis we have:

v(x) = v * cosine (angle).

v(x) = 12.0 N * cosine (60º)

v(x) =6 N

Applying the formula of the component of the vector in the (y) axis we have:

v(y) = v * sine (angle)

v(y) = 12.0 N * sine (60º)

v(y) = 10.39 N

It can be said to be a straight line described by a point (a) and (b) that has direction and sense.

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The ball  that is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by the following equation:

y=44 ft/s * t - (32.17 ft/s² * t²/2)

The height in (ft) at a time (t) of a body that has been thrown with a certain velocity and is in vertical motion is given by the following equation:

y = vi * t - (g* t²/2)

Where:

Information about the problem:

Applying the height formula we get:

y = vi * t - (g* t²/2)

y = 44 ft/s * t - (32.17 ft/s² * t²/2)

It is the movement described by an object that has been thrown vertically upwards in which the height and the effect of the force of the earth's gravity on the thrown object are considered.

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The calculated mass is 5.5*10⁴ g.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

K.E = 1/2 mv²

1 MJ= 10⁶ J

10⁶=1/2 m * 6*6

10⁶*2=m*36

m= 5.5 *10⁴ g

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The formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

Kepler's laws of planetary motion are as follows:

Tycho Brahe used a telescope to propose a model in which the planets orbit around the sun but the sun orbits the Earth in elliptical orbits. This provided a clear idea for Kepler about the position of planets.

Therefore, the formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

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Answer:

the fundamental particle that has the least and most massive are the electron and the neutron.

Explaination:

Electrons are the least massive subatomic particles, and they are found in nucleus. neutron is the heaviest sub-atomic Particles among the given subatomic particles with mass of 1.008 amu.

[tex]distance between rod and $O$ is $=r=25 \mathrm{~cm}=0.25 \mathrm{~m}$\\is $=r=25 \mathrm{~cm}=0.25 \mathrm{~m}$Let us assume, athat rod to infinite then angle $\theta_1$ and $\theta_2$ is equal to $90^{\circ}$ Now, According to Biot-Sewart law, magnetic field (B) due thin rod is magnetic field (E) due thin rod is$$\Rightarrow B=\frac{\mu_0}{4 \pi} \frac{I}{r}\left[\sin \phi_1+\sin \phi_2\right]$$[/tex][tex]$\because \frac{\mu_0}{4 \pi}=$ Proportionality Constant $=10^{7 t}$$\sin \phi_1+\sin \phi_2=\sin 90^{\circ}+\sin 90^{\circ}=2$$$\Rightarrow B=10^{-7} \times \frac{2}{0.25} \times 2$$$\Rightarrow B=16 \times 10^{-7} \mathrm{~T}$Hence, Magnitude of magnetic fell due to thin rod is $16 \times 10^{-7} \mathrm{~T}$.[/tex]

The magnitude or size of a mathematical item defines whether it is greater or smaller than other things of the same sort in mathematics. Formally speaking, the size of an item is the exhibited outcome of an ordering—of the class of objects to which it belongs.

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The torque value is 560 Nm, so the result does not depend on the value of Ф.

Given:

Mass=80.0 g

Radius=20.0 cm

Magnetic field=0.35T

In a magnetic field, a loop of current-carrying wire will experience the following torque:

τ=μ×Β

Here, is the μ magnetic moment and Β is the magnetic field.

τ= 1600 × 0.35 T

τ= 560 Nm

The rotating equivalent of force is torque. It is also known as the moment, moment of force, rotating force, or turning effect depending on the field of research. It serves as an example of how a force can alter a body's rotational motion.

The Newton-metre, or kgm2sec-2, is the SI unit for torque. How did we get to this point? Considering the equation Torque = Force X Distance Torque is measured in newton-meters, whereas distance is measured in meters and force is measured in newtons.

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Fundamental frequency will be [tex]\frac{1}{\sqrt{2} }[/tex] times that of original frequency on doubling the mass per unit length.

From equation (1) , it can be seen clearly that  fundamental frequency is inversely proportional to the square root of the mass per unit length of the string.

On putting double the mass per unit length in equation (1) keeping the all factor same , we get

               [tex]f'=\frac{1}{2l} \sqrt{\frac{T}{2u} }\\\\f'=\frac{1}{\sqrt{2} } f[/tex]

Where f ' is the new frequency and f is the original frequency .

Thus, on doubling the mass per unit length, with all other factors held constant then the fundamental frequency will be [tex]\frac{1}{\sqrt{2} }[/tex] times that of original frequency.

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The electric field is 5.39 × 10^3 N/C.

R(radius of the metal rod) = (10cm)( 1m/100cm) = 0.1m

[tex]\lambda\;(\text{charge per unit length})=(30\;\mathrm{nC/m})\left(\dfrac{1\;\mathrm{C}}{10^9\;\mathrm{nC}} \right)=\textcolor{#ff9c8c}{30\times 10^{-9}\;\mathrm{C/m}}[/tex]

Since the rod is long L≫l, we model it as a long filament of infinite length and constant charge per unit length for which the electric field is found from Equation (*):

[tex]E=\dfrac{\lambda}{2\pi \epsilon_0 r} \\[/tex]

Substitute numerical values:

[tex]E&=\dfrac{30\times 10^{-9}}{2\pi (8.8542\times 10^{-12})(0.1)}\\ &={5.39\times 10^{3}\;\mathrm{N/C}}}[/tex]

electric field, an electric property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.

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Given the number 0.00210, only the last 210 digits are considered significant. Therefore, the specified number has 3 significant digits.

The significant or significant digits that convey meaning depending on its precision is know as significant digits of a given number .For example, 8.642 has 4 significant digits. These substantive digits give precision to numbers. Also called significant digits.    

All non-zero digits are valid. 136145 has 6 significant digits.

All zeros between two non-zero digits are valid. For example, 885.0085has 7 significant digits.

All zeros to the right  and to the left of non-zero digits of the decimal point are never significant. For example, 0.00897 contained 3 significant digits.

the decimal point are significant, All zeros to the right only if not followed by non-zero digits. For example, 50.00 has 4 significant digits.

The last non-zero and all zeros to the right of decimal place are valid. For example, 0.0045700 has 5 significant digits.

The last non-zero digit , all zeros to the right of are valid if they come from the measurement.

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According to the question; The output power is 0.643W.

Power is the quantity of energy that is transported or transformed per unit of time in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings. A scalar concept is a power.

According to the question:

Power, P₁ = 150W

Sound intensity level, β = 103db

Distance, d = 1.60m

The sound intensity level is β = 10log(I/I₀)

Reference intensity I₀ = 10⁻¹²

By solving, Intensity, I = 0.02w/m²

Power output P₀ = (4πd²) I

P₀ = 0.643W

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The physics problem to find the unknown has applied physics principles will be the following:

The simplified expression for coefficient of kinetic friction is 0.097.

The given parameters:

g = 9.8 m/s²

a = 3.6 m/s²

θ=27.0∘

The simplified expression for coefficient of kinetic friction is calculated as follows;

μkmgcosθ = mgsinθ − ma

m(μkgcosθ) = m(gsinθ − a)

μkgcosθ = gsinθ − a

The practise of using physics as a science to assist people and address their issues is known as applied physics.

Engineering is distinct from it since engineers deal with clearly defined problems. Applying physics to the development of new technologies or the resolution of engineering issues is the work of applied physicists.

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The average bond dissociation energy of carbon-carbon bond is 410 kj/mol. 292 wavelength in nanometers of the ultraviolet radiation has an energy of 410 kj/mol.

The distance between the two successive crests or troughs of wave is known as its wavelength. It is measured in wave's direction.

The distance wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or the any other wave). Wave's crest is its highest point, while its dip is the lowest. Since wavelength is a measure of both the distance and length, it is expressed in the length units such meters, centimeters, millimeters, and nanometers.

Wavelength of light varies with the colors, i.e., it is different for the every color. Red color has the longest wavelength while violet has least. The wavelength of the UV radiation is shorter than the violet light. Similarly, the wavelength of the infra red radiation is longer than the wavelength of red light.

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Achieving a speed of 112.25 km/h is impossible for a human.

The frequency of an event is its repetitions per unit of time. In a contrast to spatial frequency, it is also sometimes referred to as temporal frequency. Hertz (Hz), which equals one (event) per second, is the unit of frequency. The reciprocal of frequency is period, which is defined as the length of time for one cycle of a repeating occurrence.

According to the question:

Emitted frequency, f₀

Frequency heard when athlete approaches horn, f₁

Frequency heard when the athlete passes horn, f₂

Speed of the athlete (observer), v₁

Speed of sound in air = 343m/s

When an athlete approaches the horn, the frequency observed is given by,

f₁=( (v+v₁)/(v-v₂) ) ₓ f₀

f₂=( (v-v₁)/(v-v₂) ) ₓ f₀

From question,

f₂/f₁ = 5/6

5/6 = v-v₁/v+v₁

hence, v₁ = 112.25 km/h

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Electron , photon and proton have wavelength which is option (a) , (b) and (c) .

De Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship.

De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex]  .....(1) where λ is known as de Broglie wavelength and m is mass , v is velocity , h = Plank’s constant .

With the help of equation (1) we can determine the wavelength of the electron and proton .

For photon , the wavelength is given by

[tex]E=hv=\frac{hc}{\lambda}[/tex]

Where h is plank's constant and c is speed of light , v is frequency of the inicident photons .

Thus, we can determine the wavelength of electron , photon and proton.

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In the given question, we can infer from the table that the average velocity for the car upto one decimal place is 7.3 m/s.

Velocity is defined as the ratio of Displacement of a body to the time it has take for the displacement. We can find the average velocity but adding up all the velocities and then divide it by number of occurrences. Using the data, after adding up all the average velocities, we get the value as 87.497 m/s. As the number of velocities are 12, we divide the total velocity by 12 and fing the mean velocity. The mean or average velocity is : 87.497 / 12 = 7.291416. Upto one decimal place, we get the value as 7.3 m/s.

Hence the average or mean velocity from the given data is 7.3 m/s

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Because most particles fired at metal foil passed straight through, Rutherford concluded that only a small area of an atom is positively charged called the nucleus.

In 1911, Rutherford's atomic model rejected J.J Thomson's model with his famous metal foil experiment.

According to Rutherford's atomic model, an atom is the smallest particle having a core nucleus.

It can not be further disintegrated and it is composed of other fundamental objects i.e. electrons, protons, and neutrons.

In the core of an atom, there is an extremely dense, minute object called the nucleus which contains positive charges, and around it, electrons revolve in circular paths called orbitals.

To put it simply, this model suggests that when electrons interacted with gold metal foil, most particles changed their path after colliding with the massive dense nucleus.

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The study 'characterizing vibration-assisted atomic force based nanomachining' aims to elucidate nanomachine properties for heterogeneous materials.

The expression nanomachining makes reference to the study of nanometric machines (nanomachines) and related materials, which can be achieved by different approaches including sensor-based strategies related to acoustic auditive phenomena.

In conclusion, the study 'characterizing vibration-assisted atomic force based nanomachining' aims to elucidate nanomachine properties for heterogeneous materials.

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