If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?.

If log 3 4 = 1. 2619, then the solution to the equation above, which evaluates log 3 0, 25, is -1. 2619.

When one assess something or someone, then take them into account in order to form an opinion on them, such as whether or not they are good or terrible. It's challenging to assess the state of the market. Synonyms: evaluate, rank, value, and decide More alternatives to analyze. to evaluate or determine the degree, significance, scope, or worth of something: Doctors assess the patient's health. He was only genuinely content while working alone since then he had complete control over the strategy and the dangers.

Convert decimal to fraction:

log₃ 25/100

Reduce the fraction:

log₃ 1/4

Round the number:

=-1.2619

hence, its evaluate -1.2619 when If log 3 4=1. 2619.

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If the moon were five times more distant from earth than it is now, the gravitational force would decrease.

                                   [tex]F= G\frac{M_{1}M_{2}}{R^{2} }[/tex]

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Angle of the disk's momentum. 0881 kg*m^2/s.

Given:- mass is 2.00 kg, radius is 3.00 m, velocity of 4.00 rad/s.

The most important metric for determining an object's position and rate of movement is its velocity. The distance that an object travels in a certain amount of time might be used to define it. The object's movement in a unit of time is referred to as velocity.

In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity.

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If a  0.6 kg squirrel falling at 14 m/s hits a pile of leaves and comes to rest in 2 s , the normal force of the leaves on the squirrel as it comes to rest would be 4.2 Newtons.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem a 0.6 kg squirrel falling at 14 m/s hits in a pile of leaves and comes to rest in 2 s.

The change in the moment of the squirrel = 0.6 × 14

=8.4  Kg - m/s

The normal force = rate of the change of the momentum

                            = 8.4 / 2

                            = 4.2 Newtons

Thus,  the normal force of the leaves on the squirrel as it comes to rest would be 4.2 Newtons.

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Two vertical wires are used to hoist a 12 kilogram lantern from the ceiling; as a result, each wire is under 58.8 N of tension.

The phrase "wire transfer" dates back to a time when banks used telegraph wires to transmit this type of financial transfer. A bank wire stored procedures on who should receive the funds, along with the user's bank account information and the amount they should receive.

Well, we know from Newton that, if m is the mass of the lantern,

Fnet = ma

Additionally, it is clear that the two forces pulling on the candle are now the strain on the two wires and the gravitational force. Since the candle isn't moving, its speed is 0, which means that the final quantity of forces acting on it must likewise be zero.

The positive y-axis should point up, and also the negative y-axis should point below. Listing the forces reveals that

-mg + T1 + T2 = 0

The two wires' tensions are also equal because they are both straight and orbital angular momentum, or T1 = T2 = T. The preceding equation can be revised to say

-mg + 2T = 0, or

2T = mg.  

Thus,

T = mg/2 = (12kg*9.8m/s2) / 2 = 58.8N

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In order to search for the signal, we would need to tune our telescopes to a wavelength of 208.3 cm.

If an extraterrestrial civilization were to transmit a signal using the spin-flip of the electron in hydrogen, the frequency of the signal would be 1.43 GHz, now to determine the wavelength of the signal, we can use the formula (λ = c/f), where c is the speed of light and f is the frequency. The speed of light is 299,792,458 meters per second, so the wavelength of the signal would be 208.3 cm.

In order to search for the signal, we would need to tune our telescopes to a wavelength of 208.3 cm. This is because radio telescopes detect electromagnetic radiation in the radio frequency range, which is measured in wavelengths.

By tuning our telescopes to the wavelength of 208.3 cm, we will be able to detect any signals transmitted by an extraterrestrial civilization using the spin-flip of the electron in hydrogen.

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Additional Saving in power is 1.48mw.

As a result of primary action, power dissipation is the process by which power is lost as heat. The process of power dissipation happens naturally. The power will be dissipated by each resistor in the circuit that has a voltage drop across it.

Since Pdyn = fc v²oo is proportional to v²oo reducing power supply

from 5v to 3v reduces the power dissipation by a factor of

(3.3)²/5² = 0.436

The power dissipation now become 0.436×10×10⁻³ = 436×10⁻³ = 4.36mw.

Since Pdyn is proportional to reducing f by the some factor as the supply voltage 3.3/5 = 0.66results in reducing the power dissipation

further by factor of 0.66

Additional Saving in power = (1.0.66) X(4.36 × 10⁻³ )

Additional Saving in power = 1.48mw.

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Here we have to calculate horizontal distance and vertical displacement of a ball thrown at a particular angle and a particular speed.

How to calculate horizontal distance and vertical displacement？

The ball is thrown at an angle, θ=30o.

Initial velocity of the ball, u=15 m/s

Horizontal range of the ball, R=12.3 m

We know that, R=u cosθ t,

where t is the time of flight

⟹t=53​17.3​=2 secs

using equation of motion we get:-

−h=ut−1/2gt²

=15×2−1/2×9.8×2²=−10.4

⟹ Height at which the ball reaches, h=10.4 m

The vertical distance fallen during each consecutive second will increase. (i.e., there is a vertical acceleration).

The vertical displacement follows the equation above (y = 0.5 • g • t2).

Furthermore, since there is no horizontal acceleration, the horizontal distance traveled by the projectile each second is a constant value -

Formula for horizontal distance is

x= vix × t=20 m/s

Thus, the initial horizontal velocity of 20 m/s. Thus, the horizontal displacement is 20 m at 1 second, 40 meters at 2 seconds, 60 meters at 3 seconds, etc. We can tabulate it as shown in the attachment.

TIME HORIZONTAL DISPLACEMENT

0 s          0 m

1 s          30 m

2 s          60 m

3 s          90 m

4 s          120m

5 s           150 m

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An extinguisher is not suitable for a certain class of fire if it has a red diagonal line through it on a black background.

Other concepts and beliefs can be conveyed using symbols. Words, music, gestures, ideas, or visual images could all be used to describe them. For example, on maps, rivers are commonly represented by blue lines, and a red rose is frequently associated with compassion and love. A typical symbol for "STOP" is a red octagon.

When an image in a text seems to suggest something beyond its exact meaning, symbolism is present. Although authors don't always do this, it could be repeated or seem startling, as if the author is purposefully drawing attention to it.

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The resultant force will be f/2. This means that the resultant force is half of the original repulsive force between the two charged particles.

According to B, the electrical force between two charged objects is inversely proportional to the square of the separation distance between the two objects and directly proportional to the product of the charges on the objects.

Mathematical expression of Coulomb's law:

[tex]F=\frac{kQ_{1}Q_{2} }{d^{2} }[/tex]

Here,

F = Electrical force

Q1 = Charge on the first object (in Coulombs)

Q2 = Charge on the second object (in Coulombs)

d = Distance between the two objects (in meters)

k = A proportionality constant (Coulomb's law constant)

According to the problem given, the force would double if one of the charges were doubled. The force would be four times lower if the distance were doubled. These two variations working together would result in a two-fold reduction in force thus resulting into f/2.

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Internal energy associated with systems and particles is thermal energy.

What is Internal energy?

A thermodynamic system's internal energy is the entire amount of energy it contains. The energy required to construct or prepare the system in its current internal condition comprises both internal kinetic energy and potential energy contributions.

The internal energy has been described as the energy that has been assessed by the molecules and bonds at the STP. Thermal energy has been the energy of particular molecules and the system comprising all the molecules have the summation of the thermal energy.

Thus, internal energy associated with systems and particles is thermal energy.

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Itis going to the speed of obstinacy.

speed is the fastest movement of something.

n the question time of flight of blocked ball time off flight of the ball that is represented by capital D This is the time of flight. It is given time of flight, height of time of flight, and hi of both ball, the same or equal, yet. We need to find out how fast production is. We need to find the projection that is represented by you. It was not possible to be on the time of projectile flight. The value of time of flight is equal to the number of years you have left in your life. We'll get equal to 11.1 until 9.81 upon two and two signed 27.4, because he dies at 27.4. Two is 118.31 little per second. obstinacy is the right answer. I think that is Mhm. Correct answer is obstinacy It is necessary to explain this questio.

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The original mass of the Argon-37 sample (N₀) was 14.98651g or approximately 15g. We Use the equation for first-order kinetics for determining the original mass of the given Argon-37 sample.

If the rate of radioactive decay is first order, we can write r = k[N]1, where N is the quantity of radioisotope present at the time the rate is recorded, k is the isotope's first order rate constant, and r is the rate of decay as observed.

According to First-Order Rate Equation,

[tex]ln(\frac{N}{N_{0} } )=-kt[/tex]

Here,

N = The amount of radioisotope left after "t" time.

N₀= The initial amount of radioisotope,

k = Rate constant of the radioisotope.

t = Time

Given,

N = 2. 14 g.

N₀ = ?

k = 0. 0198

t = 98. 3 days

Now, substituting these values in the first order rate equation we get,

[tex]ln(\frac{N}{N_{0} } )=-kt\\ln(\frac{2.14}{N_{0} } )=-0.0198*98.3\\ln(\frac{2,14}{N_{0} } )=-1.94634\\\frac{2.14}{N_{0} } =e^{-1.94634} \\\frac{2.14}{N_{0} }=0.142795\\N_{0} = 14.98651g[/tex]

Hence, the original mass of the sample (N₀) was 14.98651 g or approximately 15 g.

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A heuristic device in which a solution to a problem is found by evaluating the difference between the current situation and the goal is the mean end analysis.

Heuristics are mental shortcuts that are frequently utilized to streamline issues and prevent cognitive overload. Heuristics, which enable people to arrive at rational conclusions or answers to complex situations rapidly, are a function of how the human brain evolved and is wired.

This designates a notion or idea that is employed more because it facilitates our thinking about the issue than because it is strongly supported by the data. A heuristic tool is Max Weber's ideal type. The three heuristics that attracted the most attention were representativeness, anchoring and adjustment, and availability.

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Answer: B: counter clockwise

Explanation: I learned about this in the 9th grade!

At maximal displacement, the speed is zero, the kinetic energy is zero, and the only source of energy is the potential energy held in the spring. E = 1/2 kA² is the energy at the greatest distance.

The process of any variable or measure fluctuating repeatedly about its equilibrium value in time is known as oscillation. A periodic change in a substance's quality between discrete choices or around its central value is another way to describe oscillation.

Here, A represents the oscillation's amplitude.

Dropping the sandbag won't change the system's overall energy since all of the energy is derived from the energy stored of spring.

Therefore, the amplitude won't be affected.

The square of oscillation's intensity determines the system's energy in an exact correlation. The energy in the system remains constant, hence the oscillation's amplitude does not vary.

Hint:

Utilize the energy at balance to ascertain whether the maximum speed for dropping the sandbag at the cart's maximal changes in any way.

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The kinetic energy in the spring is equal to the mechanical work done by the spring

The kinetic energy in then spring is

E = 1 / 2 kA2

The mechanical work done by the spring is,

E= 1 / 2 mv2

Compare the above two equations to find the amplitude of oscillation:

1 / 1 kA2 = 1 / 2 mv2

A = v√ m/k

(3.58 m/s) √ 1.12 kg / 32.3 N/m

= 0.66m

The mechanical work done by the spring is,

E = 1/2 mv2

= 1 / 2 (1.12 kg) (3.58 m/s)2

= 7.17 J

Work modifications the quantity of mechanical and internal energy possessed by gadgets. Whole work is achieved on a machine or item, energy is introduced to it.

The character of work achieved can be categorised in three classes. they are +ve work, -ve work and zero work. The character of work relies upon on the perspective among pressure and displacement.

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The critical angle for the liquid when surrounded by air is 48.75°.

The critical angle is the maximum angle at which a light beam traversing a transparent media can collide with the surface of a second medium having a lower refractive index without being completely reflected within the first medium.

Given that:

Angle of incident: i = 30.0°.

Angle of refraction, r = 22.0°.

Hence, refractive index of the medium: n = sini/sinr

= sin 30.0°/sin22.0°

= 1.34.

Hence, the critical angle for the liquid when surrounded by air:

= sin⁻¹(1/n)

= sin⁻¹(1/1.33)

= 48.75°.

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The oscillating and regular motion of an object is known as the SHM. The object must move 0.532 meters from x(t) = 0.65 meters to x(t) = A = 1.182 meters.

It is a periodic and oscillating movement that moves in a rectilinear fashion.

Knowing that there will always be a restoring force (F) that tends to return the motion to its initial location when it moves an amount called an amplitude is important when thinking about simple harmonic motion.

There are some important factors to take into account with this motion,

The movement's position, X (m), in its initial, equilibrium, and other positions.

The speed is a (m/s2).

Speed, V (m/s)

The volume, A (m)

The periodicity, w (rad/s),

The distance that the object needs to move from x(t) = 0.65m to x(t) = A = 1.182m is 0.532m.

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When white light passes through a cool cloud of gas an absorption line spectrum is observed.

An absorption line spectrum is made up of frequencies of light transmitted with dark bands when electrons absorb energy in the ground state to reach higher energy states.

No two types of atoms or molecules give the same patterns.

In other words, any particular gas can absorb or emit only certain wavelengths of light that are typical for that gas.

In contrast, absorption spectra are produced when white light passes through a cold, rarefied gas.

Since cloud of gases are cold and hence when white light passes through a cool cloud of gas an absorption line spectrum can be observed.

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After collision velocity of yellow ball become 3 m/s.

What is collision velocity?

Collision is short-duration interaction between two bodies or more than two bodies simultaneously causing change in motion of bodies involved due to internal forces acted between them during this. Collisions involve forces (there is a change in velocity).

Velocity of red ball = 3 m/s

Velocity of yellow ball = -2m/s

Red ball and yellow ball both have same mass

So, after head on collision their velocity will be exchanged.

So after collision velocity of yellow ball become 3 m/s.

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The work done have been calculated as : Wgravity = 15,250 joules, W rope1 = - 9667.158 joules and W rope2 = - 5584.94 joules

Given ; Force of gravity on piano = 2500 N

r = distance of the ground =  6.10 m

As the angles are mentioned in the diagram, thus we can write

Work done can be calculated by ;

Wgravity = 2500 N . 6.10m . cos 0 = 15,250 joules

W rope1 = 1830 N . 6.10 m . cos 150 = - 9667.158 joules

W rope2 = 1295 N . 6.10 m . cos 135 = - 5584.94 joules

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Answer:

W = 12500 J

T1 = -7920 J

T2 = - 4580 J

Explanation:

The angle between the force w and the displacement is 0 degrees, therefore:

[tex]W_{w} = wdcos(0) = (2500)(5)(1) =[/tex] 12500 J

The angle between the force T1 and the displacement is 90 + 60 = 150 degrees, therefore:

[tex]T_{1}= T_{1} dcos (150) = (1830)(5)(cos(150)) =[/tex] - 7920 J

The angle between the force T2 and the displacement is 90 + 45 = 135 degrees, therefore:

[tex]T_{2} = T_{2} dcos(135) = (1295)(5)(cos (135)) =[/tex] - 4580 J

The expansion of the universe after its origin takes place by a phenomenon called Big bang

As the universe widened, it cooled and matter began to form. Neutrons, protons, electrons, anti-electron, photons, and neutrinos were all present in the universe one second after the Big Bang. The Big Bang nucleosynthesis, which took place during the first three minutes of the universe, produced the light elements.

The big bang theory is the most commonly accepted explanation. Learn about the initial explosion and how the universe expanded from the size of an atom to include everything that exists today.

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The force exerted on the motorcycle of mass 500 kg is 2272.72 N.

Force can be calculated by multiplying the mass of a body to its acceleration. The S.I Unit of force is Newton (N).

To calculate the force exerted on the motorcycle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force acting on the motorcycle is 2272.72 N.

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The momentum of the kid on the right having a mass of 31 kilograms is 0 Kg.m/s

Momentum is defined as the product of mass and velocity. It is expressed mathematically as:

Momentum = mass × velocity

With the above formula, we can obtain the momentum of the kid on the right as follow:

Momentum = mass × velocity

Momentum = 31 Kg × 0 m/s

Momentum = 0 Kg.m/s

Thus, the momentum of the kid on the right is 0 Kg.m/s

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In an PNP transistor, the base controls the amount of current passing through it while allowing current flow from the base to the emitter.

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The magnitude of the acceleration due to gravity on planet p is 5 meters per seconds squared.

From the Second Equation of Motion;

s = ut + (1/2)gt²

Where v is final velocity, u is initial velocity, g is acceleration due to gravity and t is time elapsed.

Given the data in the question;

Plug the given data in the above formula and solve for g.

s = ut + (1/2)gt²

40m = (0 × 4s) + ( (1/2) × g × (4s)²

40m =  (1/2) × g × 16s²

Multiply both sides by 2

2 × 40m = 2 × (1/2) × g × 16s²

80m = g × 16s²

g × 16s² = 80m

g = 80m / 16s²

g = 5m/s²

Therefore, the acceleration due to gravity is 5m/s².

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When solar energy is transmitted straight backward from a surface, reflection takes place. Albedo is the portion (or percentage) of radiation that is reflected back.

As more solar energy is received, more heat is reflected back into space, raising the temperature of the atmosphere. The Earth system does not become hotter as a result of solar radiation that Earth's surface or atmosphere reflect back into space. Heat is produced as a result of absorbed radiation. Only a small portion of the energy that reaches the Earth's surface is reflected. Around 30% of the incoming radiation is reflected back to space and does not heat the surface, leaving the remaining 70% to be absorbed by the atmosphere and the Earth's surface.

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Loma saw greatest 24-hour temperature fluctuation on January 15, 1972. Temperature rose by an equal 103 degrees from -54 degrees to 49 degrees. This sets global standard for a 24-hour changes in temperature.

The distance here between kelvin (K), a component of kelvin scale, and then a degree on the Temperature scale depends on where zero lies. This melting point seems to be the zero point upon that Celsius scale, whereas absolute zero is really the zero point upon that Kelvin scale. Accordingly, 0oK is equal to -273.15oC and 0oC is equivalent to 273.15 kelvins.

The freezing point, boiling point, or any combo of water and a chemical were all taken into consideration when the Celsius and Fahrenheit scales were developed. Scientists adopted the Absolute temperature scale because they desired a scale where 0 depicts the total lack of thermal energy.

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