B is kept constant but the coil is rotated so that the magnetic field, B, is now in the plane of the coil. How will the magnetic flux through the coil change as the rotation occurs?

Answers

Answer 1

The magnetic flux decreases through the coil.

Due to a change in the angle between B and the coil's axis, the flux decreases.

Magnetic flux :

The magnetic field and the vector corresponding to the coil's area form a dot product, which determines the flux through the coil. The latter vector has a magnitude equal to the coil's area and a direction perpendicular to the plane in which the coil's area is located. The vector S is the vector representing the area of the coil, much like in the attached image. The flux will therefore be at its highest when the vector S points in the same direction as B, and at its lowest when their angles are perpendicular.

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Related Questions

An airplane starts from rest and accelerates on a runway at 5 m/s^2 for 7 seconds. How far down the runway is the plane after 7 seconds?

Answers

The runaway is far down for 122.5 m from the plane after 7 seconds.

What do you mean by equation of motion?

Equations of motion relate the displacement of an object to its velocity, acceleration and time.

For motion with a constant acceleration (a), from an initial velocity (u), to a final velocity (v), the equations are given as follows:

Velocity, v = u + at

Displacement with positive acceleration, [tex]s=ut+\frac{1}{2}at^{2}[/tex]

Displacement knowing initial and final velocities, [tex]s=\frac{1}{2}(u+v)t[/tex]

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

where,

t is the time over which the acceleration occurs

s is the displacement of the object from its initial position.

Calculation:

Acceleration (a) = 5 m/s^2

Time (t) = 7 seconds

Initial velocity is zero i.e., u = 0

Therefore, the distance travelled (s) can be given by the following Equation of motion:

[tex]s=ut+\frac{1}{2}at^{2}[/tex]

[tex]s= 0\times7+\frac{1}{2}\times5\times7^{2}[/tex]

[tex]s=122.5 m[/tex]

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the de broglie equation relates the wavelength and the kinetic energy of particles. what is the mass of a particle with a speed of 2.34 × 106 m/s with a de broglie wavelength of 2.25 × 10-9 m?

Answers

Mass is [tex]1.26*10^{-81} kg[/tex]

What is kinetic energy?

The energy an item has as a result of motion is known as kinetic energy. A force must be applied to an item in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

As per de broglie equation,

λ = h/p

where h is plank's constant and p is momentum

as, p = mv

therfore,

λ = h/mv

m = h/vλ

mass = [tex]1.26*10^{-81} kg[/tex]

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a simple harmonic oscillator consists of a block of mass attached to a spring of spring constant what are the amplitudes

Answers

Apmlitutde for the system will be [tex]A = A_{o}e^{\frac{-bt}{2m} }[/tex].

What is amplitude in a spring mass system?

Simply said, a spring-mass system is a spring system with a block hanging or fastened to the free end of the spring. The period of any item moving in a simple harmonic motion may often be determined using the spring-mass system. There are several other uses for the spring-mass system. For instance, the spring-mass system may be used to replicate foot skin deformation and the action of human tendons using computer images.

In a closed environment, a spring with mass m and spring constant k exhibits a straightforward harmonic motion.

T = 2π √m/k

It is obvious from the aforementioned equation that neither gravitational acceleration nor amplitude affect the oscillation's period. Furthermore, the period of oscillation cannot be changed by a constant force. While this is happening, the length of time directly relates to the mass of the body that is attached to the spring. If you connect a hefty object to it, it will oscillate more slowly.

Apmlitutde for the system will be [tex]A = A_{o}e^{\frac{-bt}{2m} }[/tex].

Where, A = Amplitude of oscillation

b = Decay constant

m = mass

t = time

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You place a 500 g block of an unknown subtance in an insulated container filled 2 kg of water. the block has an initial temperature of 50 degrees c. the water is initially at 20 degrees c. if the equilibrium temperature of the block and water is 25 degrees c, what is the specific heat of the block? the specific heat of water is 4186 j/kg k.

Answers

The specific heat of the block is 3349J/kg C if a 500 g block of an unknown substance in an insulated container.

We know very well that if a system is in equilibrium state, it means that Heat loss = Heat gained

Also, Quantity of heat gained or released is given by = mcΔ∅

where m is defined as  mass of substance

c  is defined as the specific heat capacity

and Δ∅ is defined as the change in temperature

Therefore, applying the above formula by assuming heat lost by water will be heat gained by the block.

=>m₁×c₁×(∅₂-∅₁) = m₂×c₂×(∅₁-∅₃)

where, we have m₂ as mass of water = 2kg

c₂ as specific heat capacity of water = 4186J/kg C

∅₃ as initial temperature of water = 20°C

Also, we have m₁ is defined as the mass of block = 500g = 0.5kg

c₁ is defined as the specific heat capacity of unknown substance

∅₂ is defined as block initial temperature = 50°C

∅₁ is defined as equilibrium temperature of block and water after mix= 25°C

Therefore, on putting the above quantities on above formula, we get

=>0.5×c₁×(50-25) = 2 x 4186×(25-20)

=>0.5×c₁×25=41860

=> c₁×12.5=41860

=>c₁=41860/12.5

=>c₁ =  3348.8J/kg C≅ 3349J/kg C

Hence, specific heat of the block is 3349J/kg C.

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a spacecraft orbits an unknown planet at a distance of 5:2 107mfrom its center. the period of its orbit is 52 hours. what is the mass of the planet?

Answers

The mass of the planet is 2.37E²⁷kg.

What were the Kepler laws known as?

The sun is at one focus in each of the planets' elliptical orbits, according to Kepler's First Law, also known as The Law of Ellipses. According to Kepler's Second Law, or The Law of Equal Areas in Equal Time, a planet's line of sight sweeps out equal areas in its orbital plane over equal periods of time.

According to Kepler's law,

m V² / R = G M m / R²

M = R V²/G    (balancing forces)

V = 2πR/T      (speed of craft)

M = 4 π²R³ / (G ×T²)    (substituting for V)

M = 4 π²×52E²¹ / (6.67E¹¹×1.30E⁷)

M = 39.5 × 52 / (6.67×1.3) × 10²⁵ kg

M = 2.37E²⁷kg.

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how does a black hole form from a massive star? how does a black hole form from a massive star? if enough mass is accreted by a white dwarf star that it exceeds the 1.4 solar mass limit, it will undergo a supernova explosion and leave behind a black-hole remnant. any star more massive than 1.4 solar masses will undergo a supernova explosion and leave behind a black hole remnant.

Answers

Answer:

A stellar black hole is formed by the gravitational collapse of a massive star (greater than 30-70 solar masses) at the end of its lifetime. The process is observed as a supernova explosion or a gamma-ray burst.

Explanation:

a spaceship, at rest in a certain reference frame s, is given a speed increment of 0.500c. it is then given a further 0.500c increment in this new frame, and this process is continued until its speed with respect to its original frame s exceeds 0.999c. how many increments does it require?

Answers

In order to give a spaceship at rest in a specific reference frame s a speed increment of 0.500c, seven increments are required. Then, in this new frame, it receives an additional 0.500c increment.

The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a certain period of time divided by the length of the period gives the object's average speed in that period.

The spacecraft moves at v1 = 0.5c after the initial increment.The equation becomes V2 = V+V1/1+V*V1/c after the second one. 2 V2 = 0.5c+0.50c/1+(0.50c)^2/c^ 2 = 0.80c

Likewise, V3 = 0.929c

V4 = 0.976c

V5 = 0.992c

V6 = 0.99c

V7 = 0.999c

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Which refers to any disturbance that carries energy from one place to another through matter and space?.

Answers

A wave is the disturbance that carries energy from one place to another through matter and space.

A wave:

Transfers energy.Usually involves a periodic, repetitive movement.Does not result in a net movement of the medium or particles in the medium (mechanical wave).

Wave Speed Formula:

It is the total distance covered by the wave in a given time period. The formula for wave speed is given as;Wave Speed = Distance Covered/Time taken

Properties of Waves:

Amplitude – Wave is an energy transport phenomenon. Amplitude is the height of the wave, usually measured in metres. It is directly related to the amount of energy carried by a wave.Wavelength – The distance between identical points in the adjacent cycles of crests of a wave is called a wavelength. It is also measured in metres.Period – The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. As the period is time, hence is measured in units of time such as seconds or minutes.Frequency – Frequency of a wave is the number of waves passing a point in a certain time. The unit of frequency is hertz (Hz) which is equal to one wave per second.

        The period is the reciprocal of the frequency and vice versa.

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one end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates at a frequency 127 hz . the other end passes over a pulley and supports a mass of 1.50 kg. the linear mass density of the rope is 0.0550 kg/m . part a what is the speed of a transverse wave on the rope?

Answers

The speed of a transverse wave on the rope is  16.359 m/s

The tension in the rope will be equal to the weight of the hanging mass:

T = mg = (1.5 kg)(9.81 m/s)

T = 14.72 N

Now, the speed of the transverse wave on the rope is given by the following formula:

V = [tex]\sqrt{T/μ}[/tex]

where,

v = speed = ?

μ = linear mass density = 0.0550kg/m

Therefore,

V = [tex]\sqrt{14.72/0.0550}[/tex]

V = 16.359 m/s

A wave that oscillates perpendicular to the direction of the wave's advance is said to be transverse. Comparatively, a longitudinal wave moves in the direction of its oscillations. Transverse waves include those in the water.

A straightforward illustration may be seen in the waves that can be made on a horizontal length of string by anchoring one end and moving the other end up and down. The waves made on a drum's membrane are another illustration. The directions in which the waves travel are parallel to the membrane plane, yet the membrane's individual points move up and down in directions that are perpendicular to that plane. Another example of a transverse wave with oscillations that are not periodic is light.

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How do you calculate period and frequency?

Answers

Time period is calculated by the formula 2π/angular frequency whereas frequency is calculated by the formula speed/wavelength

Frequency is characterized as the quantity of complete waves produces in unit time. The unit of frequency is Hertz.

It is the proportion of speed and frequency of a wave. f=v/λ , where v and λ is the speed and wavelength of light.

Time period is the important opportunity to finish a solitary wave.The unit of time period is second.

Time period is characterized by the formula, T=2π/ω=1/f, where  ω is the angular frequency of a wave and f is its frequency.

On the off chance that we know the speed and frequency of the wave previously, figuring out the frequency by the above formulae f=v/λ ,after estimation of the frequency we can gauge the time period utilizing T=2π/ω.

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.

determine the magnitude of the flux in kg/s (no sign, just the magnitude) of air through the surface s. the density of air is 1.2 kg/m3. the velocity of the air is

Answers

the velocity of the air is94.25V kg/s

Calculation :

Assuming velocity of air through spherical shell = V m/s

then flux = ρ *π *[tex]a^{2}[/tex]*V kg/s

=1.2 *π *[tex]5^{2}[/tex]*V  = 94.25V kg/s

Rate of change of distance. Rate of change of displacement. The velocity of a moving object can never be negative.

Velocity is the directional velocity of a moving object as an indicator of the observed rate of change of position from a given reference frame.

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) versus change in time (Δt), given by the formula v = Δs/Δt.

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The correct answer is 94.25 kg/s

Flux can be stated as the rate of flow of a fluid, radiant energy, or particles across a given area.

The magnetic flux is the magnetic lines present in among two magnets or solenoid is mutual flux.

Velocity is the count of difference in displacement in a given time and it is a vector quantity which has both magnitude and direction.

The mass of a sample of a chemical compound divided by the quantity, or number of moles in the sample, measured in moles, is known as the molar mass of that compound.

Given

density = 1.2 kg/m³

The velocity of the air is 94.25V kg/s

Assuming velocity of air through spherical shell = V m/s

Then flux = ρ *π * a² * V kg/s = 94.25V kg/s

Therefore, the velocity given will be 94.25V kg/s

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What is the mass and weight of an object on the surface of the moon, if on the earth its mass is 12kg.

Answers

The mass and weight of object on moon is 0.0138kg  and 0.0229kg .

Since force is a vector quantity, we must consider the direction in which it acts. There are two main types of frictional force: static force (Fst) and sliding force (Fsl). Normal forces (FN) produce these forces acting perpendicular to the direction of motion, although they act in the opposite direction to the object's motion.

It is equivalent to the weight of the object plus the extra weight. For example, pushing down on a block of wood on a table increases the normal force and thus the frictional force.

me=12Kg

ge=10

gm=10/6= 1.66

M=?

me ge =M gm

M=me ge/gm

M=120/1.66

M=0.0138kg

W=mg =0.0138 x 10kg

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water flows with a speed of 3.50 m/s through a garden hose with a diameter of 20.0 mm. what is the volume flow rate, q ? meters

Answers

The volume flow rate of water flows with a speed of 3.50 m/s through a garden hose with a diameter of 20.0 mm is 1.099 × 10⁻³ m³s⁻¹.

Given:

Speed, s = 3.5 m/s

Diameter, d =20 mm

Volume flow rate—also referred to as volumetric flow rate or flow rate—is a key idea in fluid dynamics that quantifies the volume of fluid that passes through a particular site in a given amount of time. It measures the amount of fluid that moves across a specific cross-sectional area in a given amount of time.

The rate of flow is given by:
Q = As

Q = π(d/2)² × 3.5

Q = 3.14× 10⁻⁴  × 3.5

Q = 1.099 × 10⁻³ m³s⁻¹

Hence, the volume flow rate of water flows with a speed of 3.50 m/s through a garden hose with a diameter of 20.0 mm is 1.099 × 10⁻³ m³s⁻¹.

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while the astronaut is near the black hole for what it seems to her like an hour, how much time passes on the spaceship?

Answers

For a black hole observer, one hour is equivalent to 100,000,000 years on Earth.

In contrast to time distant from a black hole, time moves more slowly as you approach closer to one. (According to Einstein's theory, this effect is produced by any big body, including the Earth. Because of how weak Earth's gravity is, the impact of time slowing has been seen and verified by sensitive devices. For instance, if you lived on the summit of Mount Everest, you would age one billionth of a second faster than you do at sea level.) The tremendous slowing of time is seen close to a black hole. Time is stopped from the perspective of an observer outside the black hole. The border of the hole, for instance, would seem to be frozen in time while an item fell into it.

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How do you compare the energies of the different parts of the electromagnetic spectrum?

Answers

The different types of radiation in electromagnetic spectrum are compared by the amount of energy found in the photons.

Radio waves have photons with low energies, microwave photons have a little more energy than radio-waves. Infrared photons still have more energy, then comes visible, ultraviolet, x-rays and the most energetic of all, gamma rays.

The energy associated with electromagnetic radiation is proportional to frequency and inversely proportional to wavelength. So, electromagnetic waves with shorter wavelengths have more energy.

On one end of the electromagnetic spectrum are radio waves, which have wavelengths billions of times longer than those of visible light. On the other end of the spectrum are gamma rays with wavelengths billions of times smaller than those of visible light.

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the circuit is protected by a ground fault interrupter in the plug. the water in the tank is grounded. the two bare wires correspond to the two pins on the ground fault interrupter plug. if the __________ wire is touched to the water, the ground fault interrupter will disconnect the circuit.

Answers

If the hot wire is touched to the water, the ground fault interrupter will disconnect the circuit.

GFI or GFCI This device protected from collecting the electric shocks arise from the faults in the electric devices that are used at home. It would be work by comparing the current on the input side that shows the hot side to the current on the outside side that shows the neutral side of the circuit.

In the case when hot wire give 120 VAC current source while on the other hand the neutral wire gives the return path that are given by the hot wire

Therefore, if the hot wire is touched to the water, the ground fault interrupter will disconnect the circuit.

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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: The circuit is protected by a ground fault interrupter in the plug. The water in the tank is grounded. The two bare wires correspond to the two pins on the ground fault interrupter plug. If the __________ wire is touched to the water, the ground fault interrupter will disconnect the circuit. Select the best answer from the choices provided. Neutral, Hot, Ground]

when cassini, a saturn-orbiting spacecraft, made its first flybys of enceladus in 2005, what unusual discovery did it make, and what did this imply?

Answers

Cassini recorded the water geysers at the south polar region which suggests that the particles of Saturn's E ring are provided by Enceladus.

What makes Enceladus so special?

According to research, Enceladus likely possesses hydrothermal vents that pour hot, mineral-rich water into its ocean in addition to having most of the chemical components required for life. Enceladus, which is about the same width as Arizona, has the solar system's whitest, most reflective surface.When the spacecraft Cassini did its first flyby of Enceladus, the sixth largest moon of the planet Saturn, it discovered that the magnetic field of Saturn was deflected nearby signifying the presence of an atmosphere which might be thin but still significant. Cassini also recorded the water geysers at the south polar region which suggests that the particles of Saturn's E ring are provided by Enceladus.

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How do I solve this equation

Answers

The kinetic energy of a electron that passes undeviated through perpendicular electric and magnetic field is 1.2 × 10⁻²⁶ kg.m².s⁻² .

How is the kinetic energy calculated ?

Given here is ,

q = 1.60218 × 10⁻¹⁹ C

m = 9.10939  × 10⁻³¹ kg

E = 0.18 kV/m = 180 V/m

B = 1.1 mT

where,

q is charge on electron

m is mass of electron

E is electric field

B is magnetic field

We know the kinetic energy of electron is calculated by

K.E = 1/2 (mv² )

∴ v = F / qB

∵ F = Eq

∴ F = 180 × 1.60218 × 10⁻¹⁹

∴ F = 288.3 × 10⁻¹⁹

∴ F = 2.8 × 10⁻¹⁷ N

Now,

v = F / qB

∴ v = (2.8 × 10⁻¹⁷ ) / (1.60218 × 10⁻¹⁹ ×1.1 )

∴ v = (2.8 × 10⁻¹⁷ ) / (1.7  × 10⁻¹⁹ )

∴ v = 1.64 × 10²

∴ v = 164 m.s

Now to calculate K.E,

K.E = 1/2 (mv² )

∴ K.E = 1/2 (9.10939  × 10⁻³¹ × 164²)

∴ K.E = 1/2  (9.10939  × 10⁻³¹ × 26896)

∴ K.E = 1/2 (245006.15   × 10⁻³¹ )

∴ K.E = 122503   × 10⁻³¹

∴ K.E = 1.2 × 10⁻²⁶

Hence , the kinetic energy of electron is 1.2 × 10⁻²⁶  kg.m².s⁻².

What is kinetic energy ?We must use force to accelerate an object. We must work in order to exert force. When an object is worked on, energy is transferred and the object moves at a new constant pace. The transferred energy is known as kinetic energy, and it is proportional to the mass and speed attained.In Physics, kinetic energy is defined as follows:                              The kinetic energy of an object is the amount of work it can do due to its mobility.

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the computations based upon the quantum mechanics model take longer and are more rigorous.

Answers

The computations based upon the quantum mechanics model take longer and are more rigorous is true.

Why is quantum mechanics so complicated?

The most difficult area of physics is regarded as quantum mechanics. Systems with quantum behavior do not behave according to the usual laws; they are difficult to see and feel, they can have contentious properties; they can exist in multiple states simultaneously; and others,

Therefore, the mathematical terms that provide a thorough explanation of quantum mechanics are known as quantum mechanical mathematical formulations. This mathematical formalism primarily makes use of linear spaces called Hilbert spaces, a subset of functional analysis.

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The complete question:

The computations based upon the quantum mechanics model take longer and are more rigorous. ( true or false.)

A tone i thrown traight up. After three econd it reache the dropping point again. Find out how high it wa yeterday

Answers

H=132.3m and U=29.4ms−1 are height and velocity respectively.

What is motion?

Motion is a change in position of an object over time. It occurs when an object moves from one point to another. Motion can be described in terms of displacement, distance, speed, velocity, and acceleration. Motion can also be described using Newton's laws of motion which state that an object in motion will remain in motion unless acted upon by an external force. Motion also describes the motion of particles in a fluid or gas, as well as the motion of waves in a medium. Motion is an essential part of the physical world and is essential for understanding the fundamental laws of nature.

Motion in a straight line

Let,

u = Initial velocity of stone

H = Maximum height attained by the stone

v = final velocity at maximum height = 0

t = time taken to attain maximum height = 3s

a=−g= acceleration due to gravity

a. We know that,

V=u+at

0=u−g×3

U=3g=3×9.8ms−2

U=29.4ms−1

b. From the equations of motion, we know that,

S=ut+ ½ a t2

H=29.4×3+½ * 9.8 *32

H=88.2+44.1

H=132.3m

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Suppose you have a 8.4 cm diameter fire hose with a 2.2 cm diameter nozzle.a. Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water.b. To what maximum height, in meters, above the nozzle can this water rise?

Answers

(A) The pressure drop according to Bernoulli's equation is 1207.811 KPa.

(B) The maximum height nozzle can rise is 0.120 m.

In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.

The total energy in the flow is generally tracked by Bernoulli's equation. Bernoulli's equation maintains track of how energy changes between potential energy, pressure energy, and velocity energy throughout the flow since energy cannot be generated or destroyed.

Given,

Diameter of fire hose = 8.4 cm

Diameter of nozzle = 2.2 cm

Since nozzle and hose are at same level so

h1 = h2

Applying Bernoulli's equation, we get

P1 + (1/2)ρv₁² + ρgh₁ = P₂ +(1/2)ρv₂² + ρgh₂

Solving further, we get

P₁ - P₂ = (1/2)ρ(v₂² - v₁²)

We also know that discharge is

Q = AV

so

V = Q/A

Substituting Q/A in this equation

P₁ - P₂ = (1/2)ρ(v₂² - v₁²)

P₁ - P₂ = (1/2)ρ(49.729² - 7.573²)

P₁ - P₂ = 1207.811 KPa

The pressure drop is 1207.811 KPa.

B

The maximum height attained

P₁ - P₂ = h*d*g

1207.811 KPa = h * 1000*10

h = 0.120 m

The maximum height nozzle can rise is 0.120 m.

Therefore, using Bernoulli's equation we got to know the pressure drop and the maximum height.

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Galaxies
A. are not known for certain to exist.
B. contain many millions of stars, and some contain a billion or more.
C. are too far away to photograph clearly.
D. have very little, if any, mass.

Answers

It’s B contain many millions of stars, and some contain a billion or more

a 16m long string is stretched to a tension of 60n. the string is plucked, and the resulting wave travels at 40m/s. what is the mass of the string?

Answers

The string is plucked, and the resulting wave travels at 40m/s. mass of the string 0.6 kg.

Given

velocity(v)=40m/s.

length of string(l)=16m.

Tension in string(T)=60N

formula to calculate velocity in a string:

v=root(T/m/l)

putting the value of given data and calculating we get,

mass of string as 0.6kg

Tension:

In physics, stress is described as tension transmitted axially by a cord, rope, chain, or similar object, or through the ends of a rod, truss member, or similar three-dimensional object. Stresses can also be described as pairs of acting and reaction forces acting at each end of the element.

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What is the frequency of 2 waves per second?

Answers

The frequency of 2 waves per second is 0.5Hertz.Frequency is measured in Hertz.

Frequency implies the amount of cycles in a particular unit of time. The legitimization for why the sky is blue or anything contains assortment can be successfully figured out by it. Besides, it can similarly get a handle on why the voice of specific individuals is significant while for others it isn't significant. Similarly, Frequency plays a significant impact on the notes of a piano or different instruments.

This number of occasions is irrefutably a crucial property of a wave. The waves include people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is clearly a vibration and conveys energy with it. For the most part basic, the amount of waves passing by each second insinuates the repeat of the wave. Additionally, its assessment occurs in Hertz (Hz).

We know a formula

Frequency=1/Time period

=>v=1/T

Putting the values, we get

=>v=1/2

=>v=0.5/sec or

v=0.5Hz.

Hence, frequency of wave is 0.5Hz.

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One type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.700 s for a 0.0225 kg mass?

Answers

The force constant of the spring is 1.81 N/m.

When all other forces acting on the mass in a damped mass-spring system are grouped together into one term denoted by F(t). The spring constant is the type of force that is required to stretch the string.

Using the relation;

T = 2π√m/k

T = period = 0.700 s

m = mass in kilograms = 0.0225-kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π²m/T²

k = 4 × (3.14)² ×  0.0225/(0.700 )²

k = 1.81 N/m

Therefore, the force constant of a spring needed to produce a period of 0.700 s for a 0.0225 kg mass is 1.81 N/m.

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A loop is placed in a region where the magnetic field is changing. At t = 0 s the magnetic field is 1 t directed into the page. Over a period of 2 s the field changes uniformly to 1 t directed out of the page.

Answers

A circular loop carrying current has no magnetic field at its center.

What is the magnetic field's direction at the loop's center?

The magnetic field inside the loop will either be oriented along the axis or counter clockwise depending on the direction of the current. A current-carrying circular loop will have its magnetic field oriented along its axis at its center.

What changes in the magnetic field occur as the loop's radius grows?

With an increase in the circular loop's radius, the magnetic field intensity drops. As more electric current flows through the circular wire loop, the magnetic field becomes more intense.

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a uniform sphere made of modeling clay has radius r and moment of inertia i1 for rotation about a diameter. it is flattened to a disk with the same radius r. part a in terms of i1, what is the moment of inertia of the disk for rotation about an axis that is at the center of the disk and perpendicular to its flat surface?

Answers

The moment of inertia will increase after transformation from a uniform sphere to a disk. Moment of inertia is represented by I.

We know that for a uniform sphere, moment of inertia is given by the expression =(2/5)mr² =0.4mr² where m is the mass of the sphere and r is the radius of the sphere.

Now, when a sphere is converted to disk, then its volume remains same as it is given that radius of disk and radius of sphere is same after conversion.

So, only factor is moment of inertia, we know that moment of inertia of disk is given by the formula=(1/2)mr² = (0.5)mr² where m is the mass of the disk and r is the radius of the disk.

We can see that on conversion of sphere into disk, moment of inertia increases from 0.4 to 0.5.

Hence, moment of inertia increases.

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The computations based upon the quantum mechanics model take longer and are more rigorous. True or false?

Answers

The mathematical formalisms that provide a thorough explanation of quantum mechanics are known as quantum mechanical mathematical formulations. This mathematical formalism primarily makes use of linear spaces called Hilbert spaces, a subset of functional analysis.

What are the key features of the quantum mechanical model?

According to a mathematical function known as a wavefunction, which is sometimes abbreviated as, the quantum mechanical model of atoms represents the three-dimensional position of the electron in a probabilistic manner. Oscillations are another name for atomic wavefunctions.

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The Doppler Effect has applications in robotics.

A) False
B) True

Answers

I think the answer would be true. That’s because the Doppler effect is crucial in helping robotics. Meaning is have applications on it. Im apologize if im wrong..!
True. helps map out environment for easy navigation

why did the big bang not produce a significant proportion of elements heavier than helium?

Answers

Because there aren't any stable nuclei with 5 or 8 nucleons, heavy elements couldn't have formed shortly after the Big Bang.

Since helium-4 is the most stable light isotope, 4 H e was the primary product of the Big Bang nucleosynthesis. Twenty minutes after the Big Bang, helium-4 made up about 25% of the Universe's mass, with 1 H making up the majority of the remaining mass.Big Bang nucleosynthesis (abbreviated BBN, also known as primordial nucleosynthesis) is the formation of nuclei other than those of the lightest isotope of hydrogen (hydrogen-1, 1H, possessing a single proton as a nucleus) during the early phases of the Universe. Most cosmologists assume that primordial nucleosynthesis occurred between 10 seconds and 20 minutes after the Big Bang.

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