an eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). the coil lies in the plane of the page and has a 5.90-a current flowing clockwise around it. if the coil is in a uniform magnetic field of 2.08 10-4 t directed toward the left of the page, what is the magnitude of the torque on the coil? hint: the area of an ellipse is a

The angular momentum of the rod and masses system is  2.5 ms.

Angular momentum is the rotational analog of linear momentum. it is an essential bodily quantity due to the fact it is a conserved amount—the entire angular momentum of a closed device remains constant. Angular momentum has both a route and a value, and both are conserved.

Angular momentum is defined as The property of any rotating item given via second of inertia instances angular velocity. it's far the property of a rotating frame given with the aid of the made of the instant of inertia and the angular pace of the rotating item.

Calculation:-

The moment of inertia of the system about the basics is,

I e mos + (2m) [2 = me+ 2m22 3

= 7(0-0819) 0.6m) 2

= 0.0672 LG. ma ✓

= 2.5 ms

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In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation

torque = Force * distance from the axis of rotation

given

torque = 2.5 Nm

distance from the axis of rotation (d) = 0.8 m

Force = torque / d = 2.5 / 0.8 = 3.125 N

In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation

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The work done by the force of 50 N  on an object opposite to the direction of motion is equal to  -150 J. Therefore, option (D) is correct.

Work done on an object can be defined as the energy utilized when a force is applied in order to move the object through a definite displacement.

When the 'F' is the applied force and 'd' is the displacement by an object and W is work done will be equal to:

W= F × d

If the body is moving in the opposite direction of the applied force then the work done will be negative.

Given, the applied force, F = 50 N

The displacement of the object, d = 3.0 m

The work done is equal to W = F.d

W = 50 × 3

W = 150 J

As the object is moving in the opposite direction of the applied force so the work done will be - 150 J.

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The work that is needed to be done to stop the car is 419.96 KJ

Work in physics is the amount of energy given to move an object or objects.

We have,

The mass of the car, m = 900 kg

The initial velocity of the car, v₀ = 110 km/h  = 30.55 m/s

Since the vehicle has to be stopped, the final velocity will be v' = 0.

Now, we know that

The work done to stop the car will be = Kinetic energy possessed by the car

W = Δ K.E

W = [Final K.E.] – [Initial K.E.]

= ½ (m) {(v')² - (v₀)²]  

Substituting the given values in the above formula, we get

= ½ (900) {(0)² - 30.55)²]

=  (450) (933.30)

= 419,986.12 J = 419.96 KJ

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The net force acting on the metal disk is equal to 1 Newton.

According to the third law of motion proposed by newton,

Each and every action of force has an equal and opposite reaction force.

This reaction force will be equal in magnitude of the action force but will be in the opposite direction.

So, here in this case, the metal disk is balanced on the top of the glass.

The metal disk is applying a force of one Newton on the glass. So, the glass will also apply an equal force on the metal disk,

This net force working on the disk is called the normal force, so the net force on the metal disk is 1 Newton.

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A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be  -12.833 cm

diverging lens = concave lens

focal length = - 33 cm

u = - 21 cm

magnification = image distance / object distance

using lens formula

1/v - 1/u = 1/f

1/v = 1/f + 1/u

    = 1/-33 -1/21

v   = -12.833 cm

A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be  -12.833 cm

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Answer:

the number of protons (atomic number) determines the chemical properties of the atom

Explanation:

Answer:

The number of protons in an atom determines its chemical properties.

Explanation:

An atom is composed of a nucleus and electrons that go around it. The nucleus is composed of protons with a positive charge and neutrons without charge, and the number of protons (atomic number) determines the chemical properties of the atom (element type)

The coefficient of static friction between the penny and the durcae of the turntable is 11.9.

The mass of the penny on the turntable rotating at 33 rpm is 2.5 grams. The penny was found to be located at a distance of 10cm from the center of the turntable.

Now, friction force on the penny will be.

Fr = uW

W is the weight of the penny,

u is the coefficient of friction.

The centripetal force on the penny will be,

F = Mw²r

m is the mass of penny,

w is the angular speed,

r is the distance of the penny from the center.

Now, if the penny stops,

Fr = F

so, we can write,

uW = Mw²r

Putting values,

u(2.5 x 10) = 2.5 x (3.45)² x 0.10

u = 11.9

The value of the coefficient of static friction between the penny and the surface of the turntable is 11.9.

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Arthur has failed to understand the Conservation concept. In general, children learn the seven Piagetian tasks in this order: number (typically mastered by age 6), length, liquid, mass, area, weight, and volume (usually acquired by age 10).

Studies that are cross-sectional gather information from many people of the same age and compare it to data from participants who are older or younger and, consequently, at different stages of development.

This calls for protecting the environment's natural resources so that future generations will still be able to use them, for example by halting habitat destruction and overexploitation. Conservation boosts environmental diversity by preventing the extinction or extinction of organisms. Therefore, scientists are worried about conservation.

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The pressure difference between the wide and narrow sections of the pipe is 12.675 kPa.  

Fluid pressure is the size of the force in keeping with a unit place on an object inside the fluid or on the surface of a closed field. This pressure may be resulting from gravity, acceleration, or by means of forces outside a closed container. in view that fluid has no specific shape, its pressure applies in all directions.

Pressure is defined as pressure carried out in line with the unit vicinity. Mathematically it is given by way of, P=FA. wherein F is the pressure performing perpendicular to the surface place A. the same old unit of pressure is the pascal (Pa), equivalent to at least one newton according to meter squared (N/m 2 ).

A1 v1 = A2 v2 ;

v1 / v2 = A2 / A1 ;

1.3 / v2  = ( 2 / 4 ) ^2    ; since area is proportional to diameter square :

v2 = 5.2 m /s  

Using bernouli principle ,

P1 + ρ v1^2  / 2 = P2 + ρ v2^2 / 2 ;

P1 + 1000 * 1.3^2 / 2  = P2 + 1000 * 5.2^2 / 2 ;

 ΔP = 12675 Pa  

or  ΔP = 12.675 kPa  

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The amount of work done by denise to drag her basket of laundry of mass 5 kg is 75 J.

Work is defined as the product of distance and force.

To calculate the amount of work done by denise to drag the basket, we use the formula below.

W = Fd cosθ

where, W is the work done by the denise

F is the force applied to the basket

d is the distance

θ is the angle made with the horizontal

Given that, F = 30 N

d = 5 m

θ = 60°

Substituting the values in the above equation,

W = 30* 5* cos 60° = 75 J

Thus, work done by the denise is 75J.

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Answer:

Explanation:

The interstellar gas cloud will remain in hydrostatic equilibrium as long as the kinetic energy of the gas pressure is in equilibrium with the potential energy of the internal gravitational force.

To maintain equilibrium, the potential gravitational energy must be twice the internal thermal energy. If the cloud is so massive that the gas pressure is insufficient to maintain it, the cloud undergoes gravitational collapse.

Static friction forces the car forward. The engine provides the power to rotate the tires, which push the road backwards.

Friction is a common physics term, but vehicle traction can be defined as the friction between the drive wheels and the road surface. “Traction is the friction between the drive wheels and the road. If you lose traction, you lose traction.

As the car accelerates, it exerts a forward horizontal force on the car and a corresponding rearward horizontal force on the ground. As the car accelerates, air resistance creates a backward force.

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the minimum initial velocity needed is 30.17 m/s and  time of flight for projectile motion is 4.27 seconds.

Given parameters:

Horizontal range of the projectile; H = 91 m.

Let, acceleration due to gravity = 10 m/s².

Then minimum initial velocity required is = √gR = √(10×91) m/s = 30.17 m/s.

And, Time of flight in this case: T = √2×u/g = √2×30.17/10 = 4.27 seconds.

Hence, the minimum initial velocity needed is 30.17 m/s and  time of flight for projectile motion is 4.27 seconds.

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The approximate frequency is 9.96 × ³³ s-1

Solution:

Hypothetical wave energy = 6.6 J

Hypothetical wave frequency =?

E = HV  

v = E / h          

Where,

E = energy in joules

h = plank's constant & = 6.626 × 10-34 J.s

v = frequency in s-1

On substituting the values in the above formula :

v = E / h

v = 6.6 J / 6.626 × 10-34 J.s

v = 0.996 × 1034 s-1

v = 9.96 × 1033 s-1

Hence hypothetical wave frequency is = 9.96 × 10³³ s-1.

Count the markers to determine the frequency of each class. The relative frequency of a data class is the percentage of data items in that class. A joule is a unit of energy in the International System of Units. This is the work done when a force of 1 Newton displaces a mass 1 meter in the direction of the applied force.

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Electronegativity is the ability of covalently bonded atom to attract the shared electrons .

What is covalent bond ?

Covalent bond, in chemistry, an interatomic bond formed by sharing a pair of electrons between two atoms. Bonding occurs through the electrostatic attraction of atomic nuclei to the same electrons. A covalent bond is formed when the combined atoms have a lower total energy than the atoms separating them. Covalently bonded molecules include the inorganic substances hydrogen, nitrogen, chlorine, water, and ammonia (H2, N2, Cl2, H2O, NH3) and all organic compounds. In structural representations of molecules, bonds are indicated by solid lines connecting pairs . Covalent bonds are directional. That is, the bonded atoms prefer a particular orientation to each other. This gives the molecule a particular shape, like the angled (bent) structure of the H2O molecule.

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For most double stranded DNA eukaryotic viruses, DNA replication occurs in nucleus and translation occurs in the cytoplasm.

Viruses must rely on host cells for metabolic and reproductive functions since they are obligate intracellular parasites.

Although each virus type and species has a unique life cycle, all viruses replicate through the same fundamental steps. The attachment, entry, uncoating, replication, maturity, and release phases can be used to categorise the many stages of the viral life cycle.

DNA viruses only need to produce mRNA, therefore replication utilises techniques that are well-known in cell biology, including transcription of mRNA from dsDNA and replication of dsDNA inside the cell nucleus. Some larger viruses code for their own enzymes, while the majority utilise host enzymes for these operations.

However, ssDNA viruses first use the DNA enzymes of the host cell to convert their ssDNA to intermediate dsDNA, which is then translated into mRNA.

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When the ball is at its lowest point, the tension in the string is greater than the ball's weight.

Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.

Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.

The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.

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The time taken to finish the race by using uniform motion is 120 /v seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

s = 20 m

x = 100 m

vo = 0 m/s

Assume that the final velocity is v

vt = v m/s

Find the time needed to reach the velocity

s = vo . t + 1/2 . a . t²

20 = 0.t + 1/2 . v/t . t²

20 = v . t/2

t = 40 / v seconds

remaining distance = x - s

remaining distance = 100 - 20 = 80 m

remaining time = remaining distance / v

remaining time = 80 / v

Find the time taken to finish all of the race

total time = t + remaining time

total time = 40/v + 80/v

total time = 120 /v seconds

where v is the terminal velocity.

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By adding solvent, a stock solution is transformed into a diluted solution. Therefore, 80.9 mL of Na2S2O3 stock solution are required.

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The output force increases by a factor of F2 = 14, 148. 207 N.

Solution:

To find fr let's plug in the value of Fr, Yi¹ Ye in Og f¹

825/(8.51)² = f₂/(33.6)²

F2 = 14, 148. 207 N

The force which is applied to an object by another object. A person pushing a barrel is an example of applied force. When the person pushes the barrel then there is an applied force acting upon the barrel. An applied force is a force that is applied to an object by a person or another object.

If a person is pushing a desk across the room then there is an applied force acting upon the object. The applied force is the force exerted on the desk by the person. Applied forces can be broadly divided into two types: contact and non-contact forces. Contact forces are those where the interaction between two or more objects occurs while the objects are in physical contact, whereas non-contact forces exist between objects that are not in physical contact.

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674.25 A current is flowing along the funnel of tornado.

All known magnetic fields are due to current charges (or charges in motion). A wire carrying current produces a magnetic field due to the movement of charges within the conductor. Magnetic field lines around a long wire carrying current form concentric circles around the wire.

Assuming the vortex was a long, straight wire carrying a current,

Magnetic field (B) = 1.55 × 10⁻⁸ T

Radius of tornado (R) = 8700 m

Current in the funnel (I) = ?

For a current carrying straight conductor:

∫BΔL = μ₀I

B(2πr) = μ₀I

I = B(2πr)/μ₀

μ₀ = 4π × 10⁻⁷ H/m

I = 1.55 × 10⁻⁸ (2×3.14×8700)/4π × 10⁻⁷

I = 674.25 A

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The number of turns this solenoid contains is 4422 turns.

The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic subject as a device to explain how the magnetic force is distributed inside the space around and within some thing magnetic in nature.

The Earth's magnetic field does now not directly affect human health. human beings advanced to live on the earth. high altitude pilots and astronauts can experience higher degrees of radiation for the duration of magnetic storms, however, the risk is due to the radiation, no longer the magnetic area itself.

Magnetic fields are produced via transferring electric powered fees. the entirety is made up of atoms, and every atom has a nucleus fabricated from neutrons and protons with electrons that orbit around the nucleus. for the reason that orbiting electrons are tiny moving costs, a small magnetic field is created around every atom.

Calculation:-

B = uNI/L

⇒ 339 = (4pi X 10^-7)(6.71)(N)/.11

⇒ N = 4422 turns

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The greater the number of samples captured, the more detail about where the waves rise and fall is recorded

What happens if the sample frequency is increased?

The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented. What factors influence sampling frequency.

The sampling frequency or sampling rate, fs, is the average number of samples obtained in one second, so fs = 1/T. Its units are samples per second or hertz, for example. 48 kHz equals 48,000 samples per second.

The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented.

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When light with a wavelength of 550 nm shines on the provided metal, an electron is released from it, but not when light with a wavelength of 560 nm does so.

Whether a waveform signal travels over space or along a wire depends on its wavelength, which is the separation between two identical spots (adjacent crests) in subsequent cycles.

We know that;

Energy of electron e=hμ

∵ μ= c/λ

So ; e= hc/λ

Here h and c are constant so;

e ∝ 1/λ

Based on this ratio, we may conclude that:;

Less energy is released when the wavelength is larger, or vice versa.

Therefore, when light with a wavelength of 550 nm shines on the specified metal, an electron is released from it, but not when light with a wavelength of 560 nm does.

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Capacitance is the ability of an electrical conductor and insulator system to store electric charge when there is a potential difference between the conductors.

Capacitance is 3.54×[tex]10^{-9}[/tex] F,  energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.

a parallel - plate capacitor are 5mm apart and 2m² in area.

potential difference = 1k

d=5×[tex]10 ^ {-3}[/tex]m,

A=2[tex]m^2[/tex],

V=1000 volt,

Capacitance,  C=∈[tex]_0\frac{A}{d}[/tex]

=(8.85×[tex]10^{-12}[/tex]×2)/5×[tex]10^{-3}[/tex]

=3.54×[tex]10^{-9}[/tex] F

charge on each plate , q=CV=3.54×[tex]10^{-9}[/tex]×1000

=3.54×[tex]10^{-6[/tex] C

energy stored ,E=σ/∈0

=Q/(A∈0)

=(CV)/(A∈0)

=[tex]\frac{3.54*10^{-9}*1000}{2*8.85*10^{-12}}[/tex]

=[tex]2*10^5NC^{-1}[/tex].

Capacitance is 3.54×[tex]10^{-9}[/tex] F,  energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.

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Answer:

H = 1/2 g t^2        calculate time to reach ground

t = (2 H / g)^1/2 = (2 * 20 / 9.8)^1/2 = 2.02 sec

V1 = a t = 9.8 m/s^2 * 2.02 sec = 19.8 m/s      original speed

V2 = 19.8 * .75 = 14.85 m/s     speed of rebound

t2 = V2 / g = 14.85 / 9.8 = 1.51 sec     time to get back to top

T = 2 * t2 = 3.02 sec     time in air after 1st bounce

Distance from the slits should the screen be placed to obtain a central bright fringe of width of 0.6mm is 60mm.

d = 8 × [tex]10^{-4}[/tex]

λ = 8 × [tex]10^{-11}[/tex]

β = 6 × [tex]10^{-4}[/tex]

β = λD/d

Distance = βd/λ =  6 × [tex]10^{-4}[/tex] *  8 × [tex]10^{-4}[/tex]/  8 × [tex]10^{11}[/tex]

Distance = 60 mm

Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traveled. Distance is the distance that an item travels as it moves in any direction or even when it changes direction. Position describes where a thing is with relation to another object. Positions can be shown using a number line for straight-line motion. Displacement is the distance between the starting point and the finished position.

The whole path an item has taken can be used to define the distance of an object. an illustration The total distance covered by an automobile if it drives east for 5 km and then turns to head north for another 8 km.

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Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.

A force is an effect that can alter an object's motion according to physics. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force.  

A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).

The net force acting on an object is equal to the rate at which its momentum changes over time, according to Newton's second law in its original formulation.

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What is path?

However, The body's actual path length between its initial and final positions is known as the path length.

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