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The fundamental period (To) of a signal is the smallest T for which it repeats. Frequency (Wo) is the reciprocal of To. Example: To = 0.5s, Wo = 2Hz.

The fundamental period (To) of a periodic signal is the smallest positive value of T for which the signal repeats itself exactly. The frequency (Wo) of a periodic signal is the reciprocal of the fundamental period,

Wo = 1/To.

To find the fundamental period and frequency of a signal, we need to analyze its waveform.

First, let's identify the period of the signal. The period is the horizontal distance between two adjacent peaks (or troughs) of the waveform. If the signal repeats itself exactly, it is periodic.

Once we have identified the period, we can calculate the fundamental period (To) by measuring the distance between two adjacent peaks (or troughs) and taking the smallest positive value.

To calculate the frequency (Wo), we can use the formula Wo = 1/To. Here's an example to illustrate this process:

Let's say the signal waveform repeats itself every 2 seconds. This means the period is 2 seconds.

To calculate the fundamental period (To), we measure the distance between two adjacent peaks (or troughs) and find it to be 0.5 seconds.

Therefore, the fundamental period (To) is 0.5 seconds.

To calculate the frequency (Wo), we use the formula Wo = 1/To. In this case, Wo = 1/0.5 = 2 Hz. So, the fundamental period (To) of the signal is 0.5 seconds and the frequency (Wo) is 2 Hz.

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Answer:

Knees to Chest

Be consistent. Setting and committing to a regular practice of yoga is absolutely essential if you want to make improvements. ..

Answer: Dog pose was really easy, but tree pose was really difficult because it was hard to balance.

Spring (c) C is stretched the most when the blocks are all moving with the same acceleration.

To determine which spring is stretched the most when the blocks are all moving with the same acceleration, we need to consider the forces acting on each block and the resulting spring forces.

Let's analyze the situation:

1. Block of mass m: The force F applied to the left will create a net force of 2F to the right (since there are two masses of m on the right). This net force will accelerate the block to the right. The spring connected to this block (spring A) will experience a force of 2F to the left.

2. Block of mass 3m: This block is pulled to the right by the two blocks of mass m. The net force acting on this block is also 2F to the right. The spring connected to this block (spring B) will experience a force of 2F to the left.

3. Block of mass 2m: This block is being pulled to the right by the block of mass 3m. The net force acting on this block is F to the right. The spring connected to this block (spring C) will experience a force of F to the left.

Based on the analysis, we can conclude that spring C is stretched the most when the blocks are all moving with the same acceleration. This is because it experiences the highest magnitude of force (F) compared to spring A and spring B, which experience forces of 2F.

Therefore, the correct answer is (C) C: spring C.

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Answer:

\(15\:\mathrm{J}\)

Explanation:

The potential energy of an object is given by \(PE=mgh\).

Recall that the weight of an object is equal to the force of gravity on the object. From this, we can set up the following equation and solve for the mass of the object:

\(F=mg,\\5=mg,\\m=\frac{5}{9.81}\approx 0.51\:\mathrm{kg}\)

Now we can plug in values to \(PE=mgh\) and solve:

\(PE=0.51\cdot9.81\cdot3=\fbox{$15\:\mathrm{J}$}\).

Answer:

The potential energy of the body is 15J.

Explanation:

The energy possessed to a body due to position is called Potential energy.

U=mgh

U=mgh

U=5×3=15J

Hence, the potential energy of the body is 15J.

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Simply put different aspects of the electromagnetic spectrum reflect differently. Certain chemicals will absorb different frequencies of light while reflecting others.

Marble's final speed,  Vf = 0.88 m/s

Vector difference between the final and initial positions of an object is displacement. It is different from the distance the object has travelled along the way.

Velocity is a vector quantity and is defined as the displacement that an object undergoes with respect to time . Meter per second is the standard unit of velocity.

Given distance= 220cm and

time = 5 sec

We can calculate acceleration of the marble by using 2nd equation of motion:

s = Vi t + (1/2)at²

s = distance covered = 220 cm = 2.2 m

Let Vi = initial Velocity

= 0 m/s (as the marble was initially at rest)

To find acceleration, a  = ?

2.2 m = (0 m/s)(5 s) + (1/2)(a)(5 s)²

a = (2.2 m)(2) / (5 s)²

a = 0.176 m/s²

Using 1st equation of motion for final velocity (Vf)

Vf = Vi + at

Vf = 0 m/s + (0.176 m/s²)(5 s)

Vf = 0.88 m/s

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The speed of the ball just before it hits the ground is: \(\sqrt{v^{2} + 2 g y }\)

Speed gets the symbol v and velocity gets the symbol v . Average values get a bar over the symbol.

Displacement is measured along the shortest path between two points and its magnitude is always less than or equal to the distance.

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Answer:

i think it d

Explanation:

Answer: 0.5A

Explanation:

According to Ohm's law, the Voltage(V) when a current flows through a resistor can be calculated by using the formula:

V = IR

where,

V = Voltage = 200V

I = current in amps (A)

R = resistance in ohms (Ω) = 400Ω

Current = Voltage / Resistance

I = V/R

I = 200/400

I = 0.5A

Therefore, the current is 0.5 Ampere

Answer:

it depends on a person's own weight

Answer:

The gravity is roughly the same. The inverse square law applies to gravity and that means that being 60 miles above Earth is about the same as being on Earth. The thing is, they are going really fast in an orbit and thus falling around the Earth. The weightlessness comes from a sort of cancellation of gravity pulling them down and their going perpendicular to that force. The forces are cancelling and making them relatively “weightless”. It’s not really weightlessness but just an equilibrium reached between the two accelerations of gravity and their motion against the pull of the Earth.

Explanation:

Answer:

According to the principle of the Conservation of Energy, energy can neither be destroyed or created, energy can be transformed from form to another

The forms of energy the car has at the different stages is given by virtue of either the position of the car, which is the car's potential energy, or the speed of the car, which gives the potential energy of the car

However, due to the frictional forces acting on the car, there is a frictional force which requires work to be done for the car to move between points in the roller coaster

Therefore, based on the Conservation of Energy principle, we have;

The total energy of the roller coaster, M.E. = m·g·\(h_{max}\)

Where;

m = The mass of the roller coaster = 4,500 kg

g = The acceleration due to gravity ≈ 9.81 m/s²

\(h_{max}\) = The maximum height = 30 m

Therefore, M.E.\(_A\) = 4,500 × 9.81 × 30 = 1,324,350 J

The energy at point B, \(M.E._B\) = 4,500×15×9.81 + (1/2) ×4,500×17.15² = 1,323,950.625

The energy at point B, \(M.E._B\) = 1,323,950.625 J

At point C, the total energy, \(M.E._C\) = (1/2)·m·v²

Where;

v = The velocity of the roller coaster at point c = 24.25 m/s

Therefore;

\(M.E._C\) = (1/2) × 4,500 × 24.25² = 1,323,140.625

At point C, the total energy, \(M.E._C\) = 1,323,140.625 J

Therefore, given that the energy at point A, M.E.\(_A\) is larger than the energy at point B, \(M.E._B\), is larger than the energy at point C, \(M.E._C\), the loss in energy can be explained by the presence of the friction which require energy for movement of the roller coaster between the points

Explanation:

The direction of the acceleration vector is towards the top right of the page, at a 90-degree angle to the velocity vector. The correct answer is (d) "the velocity is towards the right of the page and the acceleration is towards the top right of the page".

At the highest point of the circular path, the direction of the velocity vector is tangential to the circle and points to the right of the page, which is the direction of motion. The acceleration vector points towards the center of the circle, which is the direction of centripetal acceleration.

Since the car is moving at a constant speed, there is no component of acceleration in the tangential direction. The magnitude of the centripetal acceleration is given by the formula a = v^2/r, where v is the velocity and r is the radius of the circle.

Therefore, the direction of the acceleration vector is towards the top right of the page, at a 90-degree angle to the velocity vector.

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Answer: FRANCE

Explanation:

Answer:

France

Explanation:

UK has 15 nuclear power plants and 2 under construction whereas France has 56 in operation and 1 under construction  

Ans - The required gain of the small-signal amplifier is 10 V/V and the value of β should be 1/10 to achieve a feedback amplifier with a midband gain of 100 V/V and an upper 3-dB frequency of 40 kHz.

Solution ;
1. Required gain of the small-signal amplifier:
The feedback amplifier is expected to have a midband gain of 100 V/V. Since the first stage is a direct-coupled, small-signal amplifier, its gain will directly affect the overall gain. Let's denote the gain of the small-signal amplifier as A.
Using the formula for gain in a feedback amplifier (A_f = A / (1 + Aβ)), where A_f is the desired overall gain and β is the feedback factor, we can substitute the given values:
100 V/V = A / (1 + Aβ)
To solve for A, we need to find the value of β.

2. Value of β:
β represents the fraction of the output signal that is fed back to the input. In this case, the feedback loop is connected around the second stage of the amplifier. The midband gain of the second stage is given as 10 V/V. So, the feedback factor β can be calculated as:
β = Gain of the second stage / (1 + Gain of the second stage)
β = 10 / (1 + 10) = 10 / 11

3. Lower 3-dB frequency of the overall amplifier:
The lower 3-dB frequency of the overall amplifier is determined by the lower 3-dB frequency of the second stage. The given lower 3-dB frequency of the second stage is 80 Hz. Since the feedback loop is connected around the second stage, the lower 3-dB frequency of the overall amplifier will remain the same, which is 80 Hz.

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For an ideal gas, initially at a volume of 0.777778 L,  the work done by the gas during this process is mathematically given as

w=15.380613

Generally, the equation for the work done  is mathematically given as

W=p1v1invfvi

Therefore

v2=p1v1/p2

v2=9*1.0.77778/1

v2=7.00002

In conclusion

w=7.00002ln7/0.777778

w=15.380613

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Answer:

False, Sunspots appear dark (in visible light) due to their low temperature(cooler) than rest of the sun

Explanation:

Sunspots appear dark because they are much cooler( have low temperature than the rest of the surface contained by Sun. As they appear dark, but still they have very temperature that's why so hot. Sunspots have temperatures ranges  3,500 Celsius (3773 kelvin) and the surrounding surface of the sun has a temperature much higher of about 5,500 Celsius(5773 Kelvin). Even if we see a sunspot alone in space,  it will glow so brightly.

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1. The change in the kinetic energy of the system is given by the expression ΔKE = 1/2 * m * (vf^2 - 0^2) = 1/2 * m * vf^2, where m is the mass of the ball and vf is its final velocity. The change in potential energy of the system is given by the expression ΔPE = m * g * (hi - hf), where g is the acceleration due to gravity near the surface of the Earth (approximately 9.8 m/s^2).

The net external work by external forces on the system is zero, since the only force acting on the ball is the force of gravity, which is a conservative force and does not do any work on the ball.

Using the conservation of energy principle, we can write the equation ΔKE + ΔPE = 0, which implies that 1/2 * m * vf^2 + m * g * (hi - hf) = 0. Solving for vf, we get vf = √(2gh), where h = hi - hf is the height from which the ball falls. This is the final speed of the ball when it reaches height hf near the surface of the Earth, assuming no air resistance and negligible changes in kinetic energy of the Earth.

Let's write expressions for each quantity using the given terms and physical constants:

1. The change in kinetic energy of the system (the ball and the Earth):
ΔKE = ½mvf² - ½m(0)² = ½mvf²

2. The change in potential energy of the system:
ΔPE = mghf - mghi = mg(hf - hi)

3. The net external work by external forces on the system:
Since there is no air resistance and changes in Earth's kinetic energy are negligible, the net external work is zero.
W_ext = 0

4. Now, let's write an equation that relates the expressions above and use it to solve for the final speed of the ball. We'll use the work-energy theorem:
W_ext = ΔKE + ΔPE

Since W_ext = 0, we can rewrite the equation as:
0 = ½mvf² + mg(hf - hi)

To solve for vf, rearrange the equation:
½mvf² = -mg(hf - hi)
vf² = -2g(hf - hi)
vf = sqrt(-2g(hf - hi))

So, the final speed of the ball is given by the expression:
vf = sqrt(-2g(hf - hi))

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The energy of the photon is C. 4.58×10^-19 J

The energy of a photon released by a transition can be calculated using the formula:

E = hc/λ

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of the photon.

To find the wavelength of the photon released by the n=5 to n=2 transition in hydrogen, we can use the Rydberg formula:

1/λ = R (1/n1^2 - 1/n2^2) where

R is the Rydberg constant (1.097 x 10^7 m^-1), and n1 and n2 are the initial and final energy levels, respectively.

Plugging in the values for n1=5 and n2=2, we get:

1/λ = R (1/5^2 - 1/2^2) 1/λ = R (0.0304) λ = 32.8 nm

Now we can calculate the energy of the photon:

E = hc/λ E = (6.626 x 10^-34 J*s) x (2.998 x 10^8 m/s) / (32.8 x 10^-9 m) E = 4.58 x 10^-19 J

Therefore, the correct answer is C. 4.58 x 10^-19 J.

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Answer:

Wave-Particle Duality.

The resistance of the blanket is 3226 Ω

V (Voltage) = 220 V

P (Power) = 150W

Joule’s law of heating gives a direct relation between the applied voltage(V) , the time(T) for which the current(I) passes through the object and the resistance(R) of the object.

Therefore according to the joule's heating law

H (heat dissipated ) = ((voltage)² × time )

                                             resistance (R)

According to the concept of power

P (Power) = heat / time

Substituting the value of heat in the expression of heat removes time and gives a formulae

P = V²/R

P = (220 × 220 )/R

R = 220 × 220 / 150

R = 3226  Ω

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Answer:

.V=12v

Explanation:

P=VI

54W=V×4.5A

V=54W/4.5A

V=12V

Answer:

B. Increase in proportion to the wavelength of a wave.

Explanation:

An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Wavelength is simply the distance from one peak of an electromagnetic wave to the next peak. This distance is also equal to the distance from one trough of a wave to another.

Mathematically, wavelength is calculated using this formula;

\( Wavelength = \frac {speed}{frequency} \)

Hence, the waves in the electromagnetic spectrum have a speed that increase in proportion to the wavelength of a wave.

Answer:

Explanation:

Based on the given hint, it appears that the question is related to the analysis of a physics experiment involving the relationship between velocity, distance, and acceleration due to gravity.

Given that the formula v² = 2ugd is being used, it suggests that the experiment involves dropping an object from a height d and measuring the distance it travels over time, as well as the final velocity it reaches. By plotting the squared velocity (v²) on the vertical axis and distance (d) on the horizontal axis, a straight line can be obtained with a slope of 2ug, where u is the coefficient of friction and g is the acceleration due to gravity.

However, without further information or data from the experiment, it is impossible to determine the specific value of the scale factor used.

The angles of the first two diffraction orders are 33.08° and 69.24°, respectively.

The angles of the first two diffraction orders can be calculated using the equation:

sinθ = mλ/d

Where:

θ is the angle of diffraction

m is the order of the diffraction (m = 1 for the first order, m = 2 for the second order)

λ is the wavelength of the light

d is the distance between the slits (d = 1/1000 cm = 0.0001 cm)

Substituting the given values, we get:

sinθ1 = (1)(550 nm) / (0.0001 cm) = 0.55

θ1 = sin⁻¹(0.55) = 33.08°

sinθ2 = (2)(550 nm) / (0.0001 cm) = 1.10

θ2 = sin⁻¹(1.10) = 69.24°

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Answer:

1.775 is the answer

Explanation:

We can figure out the index of refraction of the sapphire by using the following equation n = c/v

n  =  index of refraction

c  =  speed of light in a vacuum

v  =  speed of light traveling in medium

Step 1 :

v = 1.69 × 10^8

c = 3 × 10^8

Step2: Substitute values

n = c/v -----> n = 3 × 10^8 / 1.69 × 10^8 = 3/1.69 = 1.775

Index of refraction of sapphire is 1.775

The two types of  potential energies that would be types of mechanical energies are:

The term potential energy is the energy possessed by a body by virtue of its position. It is different from kinetic energy which is due to the state of motion of a body.

The two types of  potential energies that would be types of mechanical energies are;

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Answer: D - elastic and gravitational

Explanation: Edge 2023

The moment of inertia of the ice skater can be calculated using the formula for the moment of inertia of a solid cylinder. The moment of inertia of a solid cylinder rotating about its central axis is given by the equation I = (1/2)MR^2, where I is the moment of inertia, M is the mass, and R is the radius of the cylinder.

(a) To calculate the moment of inertia of the skater, we use the formula I = (1/2)MR^2. Plugging in the values:

I = (1/2) * (84.0 kg) * (0.150 m)^2

I ≈ 0.945 kg·m²

(b) The moment of inertia of the ice skater is approximately 0.945 kg·m².

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Answer:

(1) P = 100 kg-m/s (2) M = 40 kg.

Explanation:

We need to solve the missing variable :

1. P=?, M=20 kg, V=5 m/s

If M is mass, V is velocity, then momentum P is given by :

P = MV

P = 20 kg × 5 m/s

P = 100 kg-m/s

(2) P= 3000 kg(m/s), M=?, V=75 m/s

\(M=\dfrac{P}{V}\\\\M=\dfrac{3000}{75}\\\\M = 40\ kg\)

Hence, P = 100 kg-m/s and M = 40 kg.

Explanation:

Look at South American and African plates

There is a heavy chance of getting youngest rock