the pendulum consists of a 14-kgkg uniform disk and a 3-kgkg uniform slender rod. it is released from rest in the position shown. suppose that lll

According to the Statement it always was receding at its current rate, that galaxy was just next to our own galaxy, moving at 8000 km/s.

Astronomy The Universe The Nebula Galaxy. Did you know that, in conjunction to our light, the Sun, the Milky Way Cluster, a large expanse of space, includes millions and billions of other stars? Its Milky Way is distinguished by a phenomenal number of stars, infinitesimal particles, and gas.

Since V = H x d, the velocity of a galaxy at a distance of 400 x 10⁶ light-years = 8000 km/s

For H = 20 km/s per million light-years. The time required to travel

4 x 10⁸ light - years at 8000 km/s is given by :

T = (4x10⁸ light - years ) (9.46 x 10¹² km /light-year) ÷ 8 x 10³

= 4.7 x 10¹⁷ = 15 billion year

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Complete question : Consider a galaxy at a distance of 400 million light-years receding from us at a velocity, v. If the Hubble constant is 20 km/s per million light-years, what is its velocity? How long ago was that galaxy right next door to our own Galaxy if it has always been receding at its present rate?

An applied 25 n force pushes on a 5.0 kg object resting on a frictionless horizontal surface. the force is directed downward at a 20 degree angle is 23.49N

X- component = 25cos20° = 23.49 N

All objects with mass or energy are attracted to one another by gravity, which derives from the Latin word for "weight" (gravitas). By far the weakest of the four fundamental interactions, gravity is 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force, and 1029 times weaker than the weak interaction. As a result, it has no discernible impact on the level of subatomic particles. The motion of planets, stars, galaxies, and even light are all governed by gravity, which is the most important interaction between objects at the macroscopic level.

On Earth, gravity lends weight to physical objects, and the Moon's gravity is what causes sublunar tides in the oceans (the analogous antipodal tide is brought on by the Earth's inertia).

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The wavelength shift of x-rays be exactly double that found in part (a), if the scattering angle is 84.26°

Δλ = h ( 1 - cos θ ) / me c

Δλ = Wavelength shift

h = Planck's constant

θ = Scattering angle

me = Mass of an electron

c = Speed of light

h = 6.626 * 10⁻³⁴ J s

me = 9.1 * 10⁻³¹ kg

c = 3 * 10⁸ m / s

Δλ' = 6.9 * 10⁻¹⁴ m

Δλ = 2 Δλ'

Δλ = 2 * 6.9 * 10⁻¹⁴

Δλ = 13.8 * 10⁻¹⁴ m

13.8 * 10⁻¹⁴ = 6.626 * 10⁻³⁴ ( 1 - cos θ ) / 9.1 * 10⁻³¹ * 3 * 10⁸

13.8 * 10⁻¹⁴ = 0.2427 * 10⁻¹¹ ( 1 - cos θ )

1 - cos θ = 56.86 * 10⁻³

cos θ = 56.859 * 10⁻³

θ = 84.26°

The given question is incomplete. The complete question is:

for what scattering angle (in degrees) will the wavelength shift of x-rays be exactly double that found in part (a) which is 6.9 * 10⁻¹⁴ m.

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Earth's surface would need to attain a temperature of 12,742 K in order to radiate 3,000 times as much thermal energy

The emitted power per unit area of a black body is given by:P = σT^4 Where is the σ Stefan-Boltzmann constant and T is the temperature in Kelvin.

Therefore, we can solve for the temperature that Earth's surface would need to attain in order to radiate 3,000 times as much thermal energy by rearranging the equation to solve for T:

T = (P/σ)^1/4

T = (3000/σ)^1/4

T = (3000/5.67x10^-8)^1/4

T = 12,742 K

Therefore, Earth's surface would need to attain a temperature of 12,742 K in order to radiate 3,000 times as much thermal energy.

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4.49 sec

Given

 Mass of simple pendulum =  0.6 kg

String of simple pendulum with  length = 5m

Equation used:- T = 2 π (L / g)^1/2

T = period of oscillations

L = length of the pendulum

g = acceleration of gravity

T = 6.28 (5 m / 9.80 m/s^2)^1/2

T = 4.49 sec     (the period is not dependent on mass)

A simple pendulum is defined to be a point mass or bob (taking up no space) that is suspended from a weightless string or rod. Such a pendulum moves in a harmonic motion

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According to the third rule, a rope's tension remains unaffected if it passes over a pulley. The second rope's second rope's tension in magnitude is W strong (weight of the block).

A force throughout a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. An action-reaction pair of forces acting at each end of the mentioned elements is what is referred to as tension. The greatest size and direction of an object are referred to as its magnitude. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition.

Whenever a system is in equilibrium,

T1 = F

T1 = mb*G+T2

T2 = F - MG

0R

T2 = W(weight of the block)

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The block will oscillate back and forth along the horizontal surface with a period given by the equation $T = 2\pi\sqrt{\frac{m}{k}}$,

where $m$ is the mass of the block, $k$ is the force constant of the spring, and $T$ is the period of the oscillation. In this case,

the mass of the block is 150 g, which is equivalent to 0.15 kg, and the force constant of the spring is 3.2 N/m.

Plugging these values into the equation, we get

$$T = 2\pi\sqrt{\frac{0.15}{3.2}} \approx 0.3268\text{ s}$$

The amplitude of the oscillation is equal to the maximum displacement of the block from its equilibrium position, which in this case is 3.0 cm. The block will oscillate back and forth with this amplitude and with a period of approximately 0.3268 seconds.

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The potential energy of the spring will be 4 times as much.

What is potential energy?

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy.

In the first question, we have to caculate the constant of the spring with this equation:

[tex]$$m * g=k * x$$[/tex]

Getting the k :

[tex]k=\frac{m * g}{x}=\frac{0,2[k g] * 9,81\left[\frac{m}{*^2}\right]}{0,05[\mathrm{~m}]}=39,24\left[\frac{N}{m}\right]$$[/tex]

Then we can calculate how much the spring stretch whith the another mass of [tex]$0,2 \mathrm{~kg}$[/tex] :

[tex]x=\frac{m * g}{k}=\frac{0,4[k g] * g, 81\left[\frac{m}{a^2}\right]}{39,24\left[\frac{N}{m}\right]}=0,1[m]$$[/tex]

The energy of a spring:

[tex]E=\frac{1}{2} * k * x^2$$[/tex]

For the first case:

[tex]E=\frac{1}{2} * 39,24\left[\frac{N}{m}\right] *(0,05[m])^2=0,049[J]$$[/tex]

For the second case:

[tex]E=\frac{1}{2} * 39,24\left[\frac{N}{m}\right] *(0,1[m])^2=0,0196[J]$$[/tex]

If you take the relation [tex]$\mathrm{E} 2 / \mathrm{E} 1=4$[/tex].

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The magnitude of the torque about his shoulder if he holds his arm straight, but 40 ∘ below horizontal is 40 Nm.

Arm Weight: 4 kilogram

Ball weight: 4 kilogram

arm span: 70 cm

You must first determine the weights of the arm and the ball. Add the gravity factor to them.

Arm weight: 4 kg times 9.8 equals 39.2 Ball weight: 4 kg times 9.8 equals 39.2

In order to find the torque, = r1 F1 sin + r2 F2 sin,

We must determine r1 and r2, where r1 = 70/2 = 35 cm or.35 m. (arm: to find the center of gravity, divide by 2)

r2 = 70 cm, or.70 m (ball)

The angle is 180° since the arms are extended straight out, which equals m1g(L/2) + m2gL.

The system's length is L.

τ =4 * 9.8 *(0.7/2) + 4 * 9.8 * 0.7 \s

= 40 Nm

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The mass of the suspended object is 3.2 kg.

Solution:

25 N - m (9.8 m/s²) = - m (2.0 m/s²)

= m = (25 N) / (9.8 m/s² - 2.0 m/s²) ≈ 3.2 kg

When suspending an object freely from one point and with a stable balance, hang it so that the center of gravity is directly below the mounting point. In this sketch, the object is suspended at point A and its center of gravity G is directly below point A.

Objects can be hung by strings from a fixed point and can be freely hung and balanced. This is either informed in the question statement or previously determined using previous calculations. Mass must be specified in kilograms.

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The wheel rotate through 64 revolutions in the next 5.00 s

Using 2nd rotational kinematic equation:

\theta = wi*t + (1/2)*\alpha*t^2

From the question, we have

t = 2.50 sec, \theta = 8.00 rev = 8.00*2*pi rad,

wi = initial angular velocity = 0 rad/sec

So,

16.00*pi = 0*2.50 + (1/2)*\alpha*2.50^2

\alpha = 2*16.00*pi/2.50^2 = 16.08 rad/sec^2

Now in t = 7.50 sec (next 5.00 sec)

number of revolutions will be:

\theta1 = 0*7.50 + (1/2)*16.08*7.50^2 = 452.25 rad

So revolutions will be:

\theta1 = 452.25/(2*pi) = 72.0 rev

revolutions = \theta1 - \theta = 72.0 - 8.00 = 64.0 rev

Multiplication:

It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication.

Complete question:

A wheel rotates from rest with constant angular acceleration. If it rotates through 8.00 revolutions in the first 2.50 s, how many more revolutions will it rotate through in the next 5.00 s?

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By nation, technology, and urban density, there are vast differences. To connect to the cell tower in a trustworthy manner, use a cellphone.

An object that generates radio waves that radiate from an antenna is referred to as a transmitter in the field of telecommunications. A transmitter is a device used in process control that transforms a sensor's output signal into a signal that can be used to measure and regulate a process variable.

All electrical gadgets, including mobile phones, television stations, ships, etc., require a transmitter as a basic component. In addition, they are utilized for navigation. A receiver is an electrical gadget that picks up radio waves and messages that the transmitter transmits.

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0.296 m along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero.

Electric charge is a characteristic shared by many basic, or subatomic, particles of matter. For instance, protons have a positive charge and electrons have a negative charge, and neutrons have no charge.

Given that,

q₁ = 3.1 x 10⁻⁶ C

q₂ = - 8.7 x 10⁻⁶ C

x = - 0.2 m

Q = - 8.3 µC

Let, the charge is kept at r.

The force due to first charge:

F₁ = k × q₁ × Q / r²

The force due to second charge:

F₂ = k × q₂ × Q / (r -x)²

The net force acting on the third charge is zero.

F₁ + F₂ = 0

k × q₁ × Q / r² =  k × q₂ × Q / (r -x)²

Hence, the position of charge on x-axis:

r = x / ( 1 - [tex]\sqrt{q_2 /q_1}[/tex])

r = -0.20 m / (1 - [tex]\sqrt{(8.6 *10^-6 /3.1 *10^-6}[/tex])

r = 0.296 m

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The absolute temperature of the gas determines the average kinetic energy of the gas particles, and all gases with the same temperature have had the same average kinetic energy.

A sort of energy that such an item or particle possesses as a result of its mobility is known as kinetic energy. An item accelerates and gains kinetic energy when work, which transfers the heat, is done on it by exerting a net force.

Thermal energy also goes by the term of heat energy. It is kinetic because the atoms and molecules in the thing are constantly moving. The temperature of an object can be transferred to another object by means of the atoms and molecules that are in motion.

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According to Newton's first law:  An item at relaxation will continue to be at relaxation until acted on with the aid of using an unbalanced force.

What are newton's laws of motion?

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows: A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force.

According to Newton's first law: An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

There is a force that moves the skater and his skate forward, after the hit, his speed is reduced, but this force is not completely counteracted, and that's why he continues moving forward.

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Heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

What is heat exchange?

In a heat exchanger, heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

In a parallel flow arrangement, the cold inlet and hot inlet are interacting with each other. At that entry point, the temperature difference is wide, and heat transfers quickly.

As the streams pass through the parallel-flow exchanger, they start to approach each other’s temperature. The heat transfer rate drops in line with the reduction in temperature difference.

Now we have the answer to your question. It is impossible for the exit temperature of the cold liquid to exceed the exit temperature of the hot liquid. This is because once the same temperature is reached, all heat transfer stops because there is no temperature difference.

This limitation of parallel flow heat exchangers is the reason most heat exchangers are arranged in counterflow. The counter-flow design results in a higher average temperature difference and greater heat transfer.

Therefore, heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

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The instantaneous acceleration of the object at t = 2 seconds is:

2 m/s2.

In mechanics, acceleration is the charge of change of the velocity of an item with respect to time. Accelerations are vector portions. The orientation of an object's acceleration is given via the orientation of the internet pressure appearing on that object.

Acceleration, charge at which velocity adjustments with time, in terms of both speed and direction. A point or an object moving in a directly line is accelerated if it hastens or slows down.

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The electron in tungsten's energy is 66 eV and wavelength is 1.89 x 10⁻¹¹m.

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The kinetic energy of the baseball be 63 joule.

The player had to work of 63 joule on the ball to give it this energy.

According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion.

As a scalar quantity, kinetic energy can only be fully defined by its magnitude.

Given that:

Mass of the baseball: m = 0.14 kg.

Speed of the baseball: v = 30 m/s.

So, kinetic energy of the baseball= 1/2×0.14×30² joule = 63 joule.

Hence, the player  had to work of 63 joule on the ball to give it this energy.

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Total emmisivity is 0.3706

and absorptivity is 0.833

Irradiation, I = 3000W / m2

reflection, Ir = 500W / m2

uniform temperature, T = 700 k

emissive power E = 5045 W / m2

Total emmisivity,

e = E / 5.67 x 10^-8 (T^4)

e= 5045 / 5.67 x  10^-8 x 700^4

e= 0.3706

absorptivity,

∝ = Iabs / I = I -Ir / I

∝ = 3000-500 / 3000

= 1 - 500 / 3000

∝ = 1 - 1/6

∝ = 0.833

Emissivity is described as the ratio of the energy radiated from a material's surface to that radiated from an ideal emitter, referred to as a blackbody, on the identical temperature and wavelength and underneath the equal viewing conditions.

It's miles a dimensionless range among zero (for an excellent reflector) and 1 (for an ideal emitter).

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The 500g ball with 4.0 J of kinetic energy, v = √(2*4.0 J/500g) = 2.0 m/s.

What is kinetic energy?

Kinetic energy is the energy associated with movement. It is the energy an object has due to its motion. Kinetic energy can be either potential or kinetic. Potential energy is stored energy and is the energy an object has due to its position or state. Kinetic energy is the energy of movement, and is the energy an object has due to its velocity. Kinetic energy is a function of the mass and velocity of an object. The kinetic energy of an object is equal to one half of its mass multiplied by the square of its velocity. Kinetic energy can be converted into other forms of energy, such as heat, sound, and light. Kinetic energy can also be converted into work, such as when a car accelerates or brakes. Ultimately, kinetic energy is the energy of motion and can be used to do work.

Kinetic energy (KE) of a moving object is equal to 1⁄2 its mass (m) multiplied by its velocity (v) squared.
KE = 1/2 mv2.
Rearranging this equation, we can calculate the velocity of an object given its mass and its kinetic energy.
v = √(2KE/m).
Thus, for the 500g ball with 4.0 J of kinetic energy, v = √(2*4.0 J/500g) = 2.0 m/s.

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Atomic Clock Transition The global standard for time is based on a transition in cesium atoms that occurs when a microwave photon of frequency 9,192,631,770 Hz is absorbed, then the energy difference between the two levels of cesium that correspond with this transition is 38.06 x 10-¹⁴eV

When Cesium atoms are bombarded with microwaves of a certain frequency, this 55th electron goes from one of these hyperfine energy states to the other but then it comes back to the slightly lower energy state and when it does it emits electromagnetic radiation with the exact frequency of 9,192,631,770 Hertz. The time interval in which this wave completes these many cycles is defined as a second. The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom.

As we know, energy difference is equal to-

∆E = hf

where h = Planck's constant i.e. 6.626x10-³⁴

f = frequency i.e. 9,192,631,770

∆E = (6.626 x 10-³⁴) * (9,192,631,770)

∆E = 60.91 x 10-³³Joule

To convert joule to electron volt (eV)

1eV = 1.6*10-¹⁹J

∆E = 60.91 x 10-³³/1.6 x 10-¹⁹

∆E = 38.06 x 10-¹⁴eV

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It is true that the aim of low beam headlamps is to increase a driver's visibility while they are driving in the rain, fog, or smoke.

When cold air passes over warm water, steam fog is created. The warm moist breath and over lake cools when it comes in contact with the cool air, reaching a humidity level of 100% and forming fog.

Southerly winds bring in warm, moist air, and they will come into contact with any snow or cool wetness on the ground. The fans going in will cool down as a result of this air-ground contact. Dew point then rises, resulting in high humidity and also the formation of fog.

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The complete question is-

The purpose of low beam headlights is to provide better visibility to a driver driving in fog, rain, and smoke.

(a). True

(b). False

Inside the automobile, the air pressure is higher than outside.

Everything you touch is pressed upon by the weighty air that surrounds you. This pressure is referred to as air pressure or atmospheric pressure. It is the force that the air above a surface applies to it while gravity pulls the surface toward Earth. A barometer is frequently used to measure atmospheric pressure.

Now

According to Bernoulli's equation, regions of airflow with greater velocities have lower pressure than regions with lower velocities when considering airflow over and around a surface.

The air inside the convertible is moving more quickly than the air outside. As a result, there is a greater pressure zone immediately inside the roof's surface.

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A refrigerator is an example of a: Heat Pump

What is second law of thermodynamics?

According to Clausius' statement on the second law of thermodynamics, it is impossible to build a system that operates in a cyclical process, in which heat moves from areas of lower temperature to areas of higher temperature without working on it.

This statement applies to systems that transfer heat from a cold reservoir to a hot reservoir. Refrigerators and heat pumps do the same thing.

Refrigerators give off heat from the freezer to the atmosphere (exhaust air at the back of the refrigerator) even though the temperature inside the freezer is always lower than the temperature of the atmosphere.

Similarly, a heat pump transfers heat from a room to the outside air, cooling the room, which is cooler than the outside air.

A refrigerator is an example of a: Heat Pump

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The majority of nutrients and minerals are absorbed from food by the small intestine, also referred to as the small bowel, which is an organ in the digestive system, Food that has been swallowed cannot pass back up the lower esophagus due to a ring of muscle fibers.

1) Because they consume plant and grass-based meals that are high in cellulose, which takes a while to digest, herbivores have longer small intestines than carnivores. Bile, a digestive fluid released by the liver, is kept in the gallbladder.

2) The lower esophageal sphincter, a ring of muscle fibers, separates the esophagus from the stomach. Heartburn and other gastric disease symptoms can result from food and fluids moving backward into the esophagus if the sphincter does not seal completely (GERD).

Regular overeating and being overweight cause the stomach to enlarge and significantly increase the strain on the LES.

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The weight of the larger mass will therefore be 27 kg. When you know the radius, you may use the formula volume = (4/3) r3 to calculate the sphere's volume or mass.

Then, using the formula mass = volume * density, you can calculate the mass by multiplying the volume by the density: mass = volume density. The formula mass = (4/3) r3 density can also be used.

The new radius can be expressed as r + 0.5r = 1.5r if the radius is increased by 50%. As a result, the new volume is 337.5% larger than the original. In other words, the new mass is 337.5% of the old mass.

The new mass will therefore be 27kg.

Furthermore, the area and circumference of the circle grow as the circle's diameter rises.

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Therefore, the greater mass will weigh 27 kg. When you are aware of the radius, you can determine the volume or mass of the sphere using the formula volume = (4/3) r3.

The mass can then be determined by multiplying the volume by the density using the formula mass = volume*density. It is also possible to apply the formula mass = (4/3)r3 density.

If the radius is expanded by 50%, the new radius may be written as r + 0.5r = 1.5r. The new volume is therefore 337.5% bigger than the old one. The new mass is therefore 337.5% of the original mass.

Therefore, the new mass will be 27kg.

Furthermore, as the circle's diameter increases, so do its surface area and circumference.

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Two charged particles repel each other with a force f. If the charge on only one of the particles is doubled and the distance between them is also doubled, then the force will be multiplied by a factor of 8.

F = k * q1 * q2 / d^2

Where:

F = electrical force between the two particles

k = Coulomb's law constant

q = quantity of charge

d = distance between the two particles

Let’s say that only the charge of q1 is doubled and the distance is halved. Therefore the new force would be:

F (new) = k * 2q1 * q2 / (d / 2)^2

F (new) = 8 k * q1 * q2 / d^2

F (new) = 8 * F (initial)

Therefore the force is multiplied by a factor of 8.

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The frequency of the oscillator is 33.33 Hz.

Frequency describes the number of waves that pass a fixed place in a given amount of time

The frequency of the oscillator is determined from the number of times or period taken for the wave to make one complete cycle.

Mathematically, the formula for frequency of oscillatory motion is given as;

F = 1/T

where;

F = (1) / (0.03 s)

F = 33.33 Hz

Thus, the frequency of the oscillator is a function of the period of the motion.

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According to collision- coalescence proposition, conformation of droplet from pall clouds occurs when pall clouds collide and coalesce or stick together.

The only significant difference between a droplet and a pall drop is that a droplet correspond of a haste that's non-negligible during the fall.

Larger driblets having advanced terminal rapidity fall briskly and collide with lower clouds. frequently the pall driblets stick together and coalesce to form a larger drop.

This starts a chain response where these bigger driblets fall indeed fleetly, collide with the other clouds in their path and combine with these driblets.

As drop and ice demitasse size increase, the probability increases that the clouds will burst in the pall. This is the medium behind rush. When the shadows come heavy enough due to these clouds or ice chargers, rain or snow is produced that falls to the ground.

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