A 300 g wooden block on a smooth, level surface is firmly attached to a very light horizontal spring with a spring constant of 200 N/m.
The spring-block system is initially stretched a distance “d” beyond the spring's equilibrium position and is released from rest. As the block moves to the right, its speed is 50.0 cm/s when the spring-block system is 4.00 cm from the equilibrium position.
Find d, the initial displacement of the spring-block system (in cm).

A 300 G Wooden Block On A Smooth, Level Surface Is Firmly Attached To A Very Light Horizontal Spring

Answers

Answer 1

the solution for the oscillatory movement allows to find the result for the amplitude of the initial displacement is:

The range of motion is: A = 4.44 cm

Oscillatory movement.

The oscillatory periodic motion of a system occurs when there is a recovered force, in the special case that this force is proportional to the displacement is called simple harmonic motion, which is described by the expression.

            x = A cos (wt + Ф)

            w² = k/m

where x is the displacement, A the amplitude, w the angular velocity, t the time, k the spring constant, m the mass, and Ф a phase constant determined by the initial conditions.

Let's find the angular velocity/

            w= \(\sqrt{ \frac{200}{0.300} }\)

            w = 25.8 rad/s

Let's look for the constant Ф, as the system is released from rest its initial velocity is zero, for zero time. The definition of speed is:

             v= \(\frac{dx}{dt}\)

             v= - A w sin (wt +Ф)

             

             0 = -A w sin Ф

            Ф= 0

They indicate that at a given instant of the time the velocity is v= 50.0 cm/s and it is in a position x= 4.00 cm, let us write the equations for this time

Position.

               4.00 = A cos 25.8t

Speed.

              50.0 = - At 25.8 sin 25.8t

To solve the system, ;et's square and add.

              Cos² 25.8t = \(\frac{16}{A^2}\)

              sin² 25.8t = \(\frac{3.756}{A^2 }\)

              1 = \(\frac{1}{A^2} \ (16 + 3.756)\)

               A = \(\sqrt{19.756}\)

               A= 4.44 cm

In conclusion using the solution for the oscillatory movement we can find the result for the amplitude of the initial displacement is:

The range of motion is: A = 444 cm

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Related Questions

Explain how the loudspeaker converts current in an electrical circuit to a sound wave. (6)

Answers

       Alternating current supplied to the loudspeaker creates sound waves in the following way:

         A current in the coil creates a magnetic field around it. The magnetic field interacts with the permanent magnet generating a force, which pushes the cone outwards. The current changes direction.

  A change in the magnetic field through a coil can induce a potential difference across it which drives a current. The voltage and current changes in a transformer can be calculated, as power transfer is constant.

The motor effect is used inside headphones, which contain small loudspeakers. In these devices, variations in an electric current cause variations in the magnetic field produced by an electromagnet. This causes a cone to move, which creates pressure variations in the air and forms sound waves.

The end of the speaker cone is surrounded by a permanent magnet. A coil of wire which carries electrical signals is wrapped around the end of the cone. The movement generated causes the cone to vibrate.

The alternating current supplied to the loudspeaker creates sound waves in the following way:

   A current in the coil creates a magnetic field around it.    The magnetic field interacts with the permanent magnet generating a force, which pushes the cone outwards.    The current changes direction.    The direction of the magnetic field around the coil reverses.    The force on the cone now pulls it back in.

    6.    Repeatedly alternating the current direction makes the converts vibrate in and out.  

     

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This type of radiation does not need a _________ to transfer heat.

Answers

Answer:

Hey there!

It does not need a medium to transfer heat.

Let me know if this helps :)

Answer:medium

Explanation:

Got it right on USA test prep

. if is the impulse of a particular force, what is (a) the momentum (b) the change in momentum (c) the force (d) the change in the force

Answers

If the impulse of a particular force is represented by the symbol J, then:
(a) the momentum is equal to J.
(b) the change in momentum is also equal to J.
(c) J is equal to the product of F and Δt.

(d) The force is equal to the change in momentum divided by the time interval over which the force acts.


(a) Momentum: Impulse (J) is equal to the change in momentum (Δp). So, if you know the impulse, you can find the momentum before and after the application of force.

(b) Change in momentum: As mentioned above, the change in momentum (Δp) is equal to the impulse (J).

(c) Force: Impulse (J) is also equal to the product of force (F) and the time interval (Δt) during which the force is applied. To find the force, you can use the equation J = F × Δt, and you'll need to know the time interval.

(d) Change in force: The change in force would require additional information, such as the initial and final force acting on the object, or the relationship between force and time. The impulse is equal to the change in momentum, and the force is equal to the change in momentum divided by the time interval over which the force acts.

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Your 1000-m-long starship has warning lights at each end that, to you, flash simultaneously every minute. You are moving directly away from the planet Zerkon at 0.70c.
To a Zerkonian, do the lights flash simultaneously? If not, which flashes first-the light at the front of your ship or the trailing one?
Answer Choices:
A. The lights flash simultaneously.
B. The front light flashes first.
C. The trailing light flashes first.
D. Not enough information given to answer the question.

Answers

To a Zerkonian observer, the lights on your starship do not flash simultaneously. The trailing light flashes first.

This is due to the phenomenon of time dilation, predicted by Einstein's theory of relativity. As you, the observer on the starship, are moving away from the planet Zerkon at a high velocity of 0.70c (70% of the speed of light), time appears to be passing slower for you relative to the stationary frame of reference on Zerkon. As a result, the time interval between the flashes of the warning lights, which is one minute in your frame of reference, will be dilated or stretched from the perspective of the Zerkonian observer. The light at the front of your starship, which is moving away from Zerkon, takes longer to reach the observer compared to the light at the trailing end. Therefore, the trailing light will be observed to flash first by the Zerkonian observer. Hence, the correct answer is C. The trailing light flashes first.

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A 0.58 kg mass is moving horizontally with a speed of 6.0 m/s when it strikes a vertical wall. The mass rebounds with a speed of 4.0 m/s. What is the magnitude of the change in linear momentum of the mass

Answers

Answer:

\(5.8\; {\rm kg\cdot m \cdot s^{-1}}\).

Explanation:

If the mass of an object is \(m\) and the velocity of that object is \(v\), the linear momentum of that object would be \(m\, v\).

Assume that the initial velocity of the mass is positive (\(6.0\; {\rm m\cdot s^{-1}}\).) However, the direction of the velocity is reversed after the impact. Thus, the sign of the new velocity of the object would be negative- the opposite of that of the initial velocity. The new velocity would be \((-4.0\; {\rm m\cdot s^{-1}})\).

Thus, the change in the velocity of the mass would be:

\(\begin{aligned}& (\text{Change in Velocity}) \\ =\; & (\text{Final Velocity}) - (\text{Initial Velocity}) \\ =\; & (-4.0\; {\rm m\cdot s^{-1}}) - (6.0\; {\rm m\cdot s^{-1}}) \\ =\; & (-10\; {\rm m\cdot s^{-1})\end{aligned}\).

The change in the linear momentum of the mass would be:

\(\begin{aligned} & \text{change in momentum} \\ =\; & (\text{mass}) \times (\text{change in velocity}) \\ =\; & 0.58\; {\rm kg} \times (-10\; {\rm m\cdot s^{-1}}) \\ =\; & (-5.8\; {\rm kg \cdot m \cdot s^{-1}})\end{aligned}\).

Thus, the magnitude of the change of the linear momentum would be \(5.8\; {\rm kg \cdot m \cdot s^{-1}}\).

a high energy pulsed laser emits a 2.9 ns long pulse with average power of 2.38 tw.. the beam is 0.41 cm in radius. what is the energy delivered in each pulse. what is the average value of the magnitude of the electric field

Answers

The energy delivered in each pulse is 690 Joules. The average value of the magnitude of the electric field is  1.303 × 10¹¹ V/m.

What is an electric field?

A region of space surrounding an electrically charged particle or object known as an electric field is one in which an electric charge would experience force. A vector quantity called an electric field can be represented by arrows pointing in the direction of or away from charges.

Pulse emitted = 2.9 × 10(-9) s

Radius = 4.1 × 10⁻³ m

Power= 2.38 × 10¹¹ W

Energy = U=P × t

=2.9 × 10⁻⁹ ×2.38 × 10''

= 690 Joule

The electric field RMS value is given by

S= P/A = cε₀ E²(rms)

\(E_{rms}= \sqrt{\frac{P}{Ac\epsilon_{0}} } \\=\sqrt{\frac{2.38\times 10^{11}}{\pi((4.1\times10^{-3})^{2})(3\times10^{8})(8.85\times10^{-12})}\)

= 1.303 × 10¹¹ V/m

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what must be true if a waves wavelength is short ?

Answers

Answer: So, if the wavelength of a light wave is shorter, that means that the frequency will be higher because one cycle can pass in a shorter amount of time. ... That means that longer wavelengths have a lower frequency. Conclusion: a longer wavelength means a lower frequency, and a shorter wavelength means a higher frequency!

If the wavelength of a wave is short. It is true that the wave will have a lower frequency. A longer wavelength denotes a lower frequency.

What is a wave?

A wave is a phenomenon that flows across a material medium without leaving any lasting mark.

Frequency is defined as the number of cycles per second. The time to make one complete cycle is the frequency and the distance between successive crests of a wave is the wavelength.

Thus, a shorter wavelength of a light wave signifies a greater frequency since one cycle may pass in a shorter amount of time. Longer wavelengths have a lower frequency.

Hence  a longer wavelength denotes a lower frequency, whereas a shorter wavelength denotes a higher frequency.

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A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?

Answers

To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.

In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.

In this scenario, the force needed to lift the automobile can be calculated using the formula:

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.

Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:

\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

Simplifying the equation and substituting the values, we can solve for \(F_{2}\):

\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)

Plugging in the values, we find:

\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)

Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:

\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)

Solving for \(F_{1}\), we find:

\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)

Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.

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If the maximum moment of force on a door is 10 Nm by an applied force of 2.25 N, then the distance of handle

Answers

Answer:

d = 4.44 m

Explanation:

Given that,

The moment of force on a door = 10 N-m

The applied force, F = 2.25 N

We need to find the distance of the handle. The moment of force is given by :

\(\tau=F\times r\)

Where

r is the distance of the handle.

\(r=\dfrac{\tau}{F}\\\\r=\dfrac{10}{2.25}\\\\r=4.44\ m\)

So, the required distance is equal to 4.44 m.

two blocks are connected by a string of negligible mass that passes over massless pulleys

Answers

If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.

In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks.

Therefore, if the blocks have different masses, they will have different accelerations.

In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.

In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.

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give reason
3. Glass vessel cracks when hot water is poured.I will mark he or she brainiest if the answer is correct.​

Answers

Answer:

 local stresses may exceed the limits of the glass

Explanation:

When hot water is applied locally to a portion of a glass vessel, it causes the immediate area to expand. That expansion stresses the region around the expanding area. The stresses may exceed the limit the glass can tolerate, so cause the glass to crack.

__

This was brought home rather dramatically when a strong stream of cold water was run into a glass container full of hot water. The bottom contracted and literally fell out.

Longitudinal seismic waves are known as
a primary waves.
b. secondary waves.
surface waves.
d. transverse waves.
Please select the best answer from the choices provided
О А
ОВ
ОС
D

Answers

Its “A“ primary waves!!!!!!

Answer:

A. primary waves

Explanation:

Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which statement correctly describes the changes that will take place in the energy of the system?

Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which
Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which

Answers

Potential energy decreases because movement is in the opposite direction of the magnetic field. This is because when magnets are pulled apart, the magnetic field between them is weakened, thus decreasing the potential energy of the system.

What is magnetic field?

A magnetic field is a force field that is created by an electric charge or current. It is a vector field, meaning it has both magnitude and direction. Magnetic fields are generated by electric currents such as those used in electromagnets, and by magnetic materials such as iron. The Earth also generates a magnetic field. Magnetic fields have many uses, including navigation, electric motors, and magnetic storage devices. They are also useful in medical diagnostics and treatments. In addition, they can be used to study the composition of stars and galaxies.

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Need help ASAP
Thanks + BRAINLIST only for correct answer

1.Cell phones convert sound waves into______waves.
-light waves
-sound waves
-radio waves

2.Electromagnetic waves used in cell phone communications are called?
-microwave
-radio wave
-infrared
-all of the above

3.To send out a radio signal far and wide...it is called?
-broadcast
-casting
-antenna

Answers

Answer:

answer my question

Explanation:

Mhm yeah correct I think yeah yeah lol

A sample starts with 1.0x10^16 nuclei of 3,1^H which has a half life of 12 years. Whats the half life after 12 years?

Answers

Answer:

See below

Explanation:

The half life is 12 year, so after 12 years HALF Of the sample will be gone and half will be left

1/2   *   1 x 10^16  =   .5 x 10^16   = 5 x 10^15 nuclei


A city bus travels along its route from Jackson Street 8 km to Aurora Avenue, where it turns and continues 13 km.
 
What is the total distance that the bus has traveled? km
 
The total displacement of the bus is approximately 15 km northeast northwest southeast southwest.

Answers

im a bit confused on what the question is:(

if its just asking for the total number of km traveled it would be 21 km

Why dont you fall through walls when you lean against them? provide a scientific explanation to explain your answer.​

Answers

Answer:

That's why if you lean against the wall, you don't just fall through it. The wall pushes back on you as hard as you push on it, and you and the wall stay in place. If you throw something, you put more force behind it than just leaning on it, so it pushes back with more force.

Explanation:

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a pulse of radiation propagates with velocity vector v = < 0, 0, −c >. the electric field in the pulse is vector e = < 7.7 ✕ 106, 0, 0 > n/c. what is the magnetic field in the pulse?

Answers

A pulse of radiation propagates with velocity vector v = < 0, 0, −c >. The electric field in the pulse is vector e = < 7.7 ✕ 106, 0, 0 > n/c. The magnetic field in the pulse is B = < 7.7 ✕ 106t, 0, 0 > n/c

To find the magnetic field in the pulse, we can use the Maxwell's equations:

curl(E) = -dB/dt

where E is the electric field and B is the magnetic field.

Since the electric field is given as e = < 7.7 ✕ 106, 0, 0 > n/c and the velocity vector is v = < 0, 0, −c >, we can assume that the pulse is propagating in the negative z-direction.

Therefore, we can write the electric field as:

e = < 0, 0, 7.7 ✕ 106 > n/c

Now, we can use the Maxwell's equation to find the magnetic field:

curl(E) = -dB/dt

Taking the curl of the electric field, we get:

curl(E) = < 0, -7.7 ✕ 106, 0 > n/c

Since the pulse is propagating in the negative z-direction, we can assume that the magnetic field is only in the x-direction. Therefore, we can write the magnetic field as:

B = < Bx, 0, 0 >

Now, substituting the values of curl(E) and B in Maxwell's equation, we get:

< 0, -7.7 ✕ 106, 0 > = -dBx/dt

Integrating both sides with respect to time, we get:

Bx = 7.7 ✕ 106t + C

where C is a constant of integration.

Since the magnetic field is zero at t = 0, we can assume that C = 0. Therefore, the magnetic field in the pulse is:

B = < 7.7 ✕ 106t, 0, 0 > n/c

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The rings of Saturn are composed of chunks of ice that orbit the
planet. The inner radius of the rings is 73,000 km, and the outer
radius is 170,000 km.
Part A) Find the period of an orbiting chunk of

Answers

The period of an orbiting chunk of ice in the rings of Saturn is approximately 333,170.7 years.

The period of an orbiting chunk of ice can be found using Kepler's third law, which states that the square of the period of an orbiting object is proportional to the cube of its average distance from the planet's center.
To find the period, we first need to calculate the average distance of the orbiting chunk of ice from the planet's center. This can be done by finding the average of the inner and outer radii of the rings:
Average distance = (inner radius + outer radius) / 2
               = (73,000 km + 170,000 km) / 2
               = 121,500 km
Next, we can use Kepler's third law to find the period. Let T represent the period, and r represent the average distance:
T^2 = k * r^3
Solving for T, we get:
T = sqrt(k * r^3)
Since we are only interested in the magnitude of the period, we can disregard the constant k. Thus, the period is given by:
T = sqrt(r^3)

Substituting the value of r, we get:
T = sqrt(121,500^3)

Calculating this, we find:
T ≈ 333,170.7 years
Therefore, the period of an orbiting chunk of ice in the rings of Saturn is approximately 333,170.7 years.

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terms used to measure motion

Answers

Answer:

velocity term

Explanation:

Answer:velocity term

Explanation:

A ball is dropped off a cliff and falls for 24 seconds. How far did the ball fall from the top down

Answers

Answer:

9266 feet

Explanation:

with Earth's gravity and long it fell that's as good as it gets if there was no other factors like wind mass weight but your welcome

a beam of light has a wavelenght of 650 nm in vaccum what is sthe speed of light of in a liquid whose index of refraction of 1.52

Answers

The speed of light in the liquid is approximately 4.34 x 10^8 m/s.

When light passes through a medium with a different refractive index than vacuum, its speed and wavelength changes. The ratio of the speed of light in vacuum to the speed of light in the medium is equal to the refractive index of the medium. Therefore, using the given refractive index of 1.52, we can calculate the speed of light in the liquid using the formula v = c/n, where v is the speed of light in the medium, c is the speed of light in vacuum and n is the refractive index of the medium. Substituting the values, we get v = (3 x 10^8 m/s) / 1.52 = 4.34 x 10^8 m/s.

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q 10. compare the hydrogen redshift of galaxy 3 to galaxy 1. based on your above investigation with doppler effect, which galaxy is moving away faster?

Answers

Based on the investigation above, Galaxy 3 has a higher hydrogen redshift than Galaxy 1. This means that Galaxy 3 is moving away faster than Galaxy

1. The Doppler effect states that the frequency of a wave is higher when the source is moving towards the observer, and lower when the source is moving away from the observer.

This is caused by the source and the observer being in relative motion with respect to each other. In this case, the relative motion between the observer and Galaxy 3 is greater than the relative motion between the observer and Galaxy 1, so the frequency of the light emitted from Galaxy 3 is shifted to a higher frequency than the light emitted from Galaxy 1. This is why Galaxy 3 has a higher hydrogen redshift than Galaxy 1, and is moving away faster.

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How is a brown object appear brown when white light is reflected on it even though brown is not a colour component of white light?​

Answers

If all the colours are reflected the surface would appear white but if all the colours are absorbed the surface will appear to be black

If the hoist tower is not enclosed, the hoist platform or car must be totally enclosed on all sides for the full height between the floor and:

Answers

If the hoist tower isn't enclosed, the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering.

What is a hoist tower?

A hoist tower can be defined as temporary elevator shaft made of scaffolding that is constructed and used to provide pathways for hoisting materials during a building-construction work.

According to the Occupational Safety and Health Administration (OSHA), the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering when the hoist tower isn't enclosed.

In conclusion, the hoist platform must be totally enclosed on all sides in order to prevent a potential injury to construction workers or an accident during a building-construction work.

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A rotating flywheel slows down at a constant rate due to friction in its bearings. After 1.00 min, its angular velocity has diminished to 0.951 of its initial value ω. At the end of the fifth minute what is the angular velocity in terms of the initial value? Do not enter unit.

Answers

According to the given statement , the angular velocity at the end of the fifth minute is ω_0 * (0.951)⁵.

The angular velocity of the rotating flywheel at the end of the fifth minute can be determined by considering the constant rate of decrease in angular velocity due to friction.

We are given that after 1.00 min, the angular velocity has diminished to 0.951 of its initial value ω. Let's denote the initial angular velocity as ω_0.

Using this information, we can set up the following equation:

ω = ω_0 * 0.951

To find the angular velocity at the end of the fifth minute, we need to determine how much the angular velocity has diminished after each minute.

Since the rate of decrease is constant, we can divide the time into five intervals, each corresponding to one minute.

Let's denote the angular velocity at the end of the first minute as ω_1, at the end of the second minute as ω_2, and so on.

From the given information, we have:

ω_1 = ω_0 * 0.951
ω_2 = ω_1 * 0.951
ω_3 = ω_2 * 0.951
ω_4 = ω_3 * 0.951
ω_5 = ω_4 * 0.951

We can simplify these expressions:

ω_1 = ω_0 * 0.951
ω_2 = (ω_0 * 0.951) * 0.951 = ω_0 * (0.951)²
ω_3 = (ω_0 * (0.951)²) * 0.951 = ω_0 * (0.951)³
ω_4 = (ω_0 * (0.951)³) * 0.951 = ω_0 * (0.951)⁴
ω_5 = (ω_0 * (0.951)⁴) * 0.951 = ω_0 * (0.951)⁵

So, the angular velocity at the end of the fifth minute in terms of the initial value is ω_5 = ω_0 * (0.951)⁵.

Remember to ignore units in this case.

Therefore, the angular velocity at the end of the fifth minute is ω_0 * (0.951)⁵.

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Based on your investigations with the same in the energy token model which of the following statements is the most accurate claim

A. increase carbon dioxide or methane makes more sunlight into earth system.

B. increased carbon dioxide or methane, hold energy in the atmosphere permanently.

C. increase carbon dioxide or methane redirect, some energy that was leaving back to the earth surface.

Answers

The Energy Internet Foundation owns the cryptocurrency known as the Energy Internet Token. Building accessible operating systems of energy grids that can support a zero-carbon economy is the focus of the Energy.

Correct option is, C.

What stores sell energy Web tokens?

On CoinMarketCap, look up Energy Web Token. Press the "Trade" button next to the price chart. In this view, you will discover a full list of stores where you can purchase Energy Web Token, in addition to the currencies you can do so with.

What will EWT cost in the future?

The price for Energy Web Tokens is anticipated to increase by 570.81% inside the best case situation by 2026 based on our assessment of the expansion of the IT industry, which places the estimated price of EWT between $5.19 and $ 27.02.

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HELP ME PLS i need this rn i love u guys <<3 if u dont know dont answer

HELP ME PLS i need this rn i love u guys &lt;&lt;3 if u dont know dont answer

Answers

Answer:

1.78m/s

Explanation:

Given parameters:

Velocity of the arrow = 22.8m/s

Height of the wall  = 15.5m

Unknown:

Time taken for the arrow to reach the ground  = ?

Solution:

To solve this problem we employ the appropriate motion equation:

     H  = ut + \(\frac{1}{2}\) g t²

 H  is the height

  u is the initial velocity = 0

   g is the acceleration due to gravity  = 9.8m/s²

  t is the unknown time

   

  15.5 = \(\frac{1}{2}\) x 9.8 x t²

  15.5 = 4.9t²

     t² = 3.16

      t = 1.78m/s

Which type of engine has a wheel with several blades mounted on a shaft that rotate a shaft when hit with heated air at a high velocity?

Answers

The type of engine that has a wheel with several blades mounted on a shaft that rotates when hit with heated air at a high velocity is called a gas turbine engine.

What is a gas turbine engine?

The gas turbine engine is also known as a combustion turbine engine. A gas turbine engine is a type of internal combustion engine that converts the chemical energy of fuel into mechanical energy, which can be used to power various machines and equipment. The engine works by compressing air and then mixing it with fuel in a combustion chamber, where it is ignited to produce a high-temperature, high-pressure gas stream. This gas stream then flows through a series of turbine blades, causing them to spin, which drives a shaft that is connected to various machines or equipment. As the shaft rotates, it generates mechanical power that can be used for various applications.

Gas turbine engines are commonly used in aircraft, power plants, and marine propulsion.

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Calculate the amount of horizontal force needed to make a 0.4 kg soccer ball accelerate at 250 m/s2when kicked.

Answers

Answer:

100N

Explanation:

Force = Mass x Acceleration

Force = 0.4 kg x 250 m/s2

Force = 100N

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