a 12kg lantern is suspended frm the ceiling by two vertical wires. what is the tension in each wire?

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 energy (in Joules) of a single photon of blue light =  [tex]4.83 * 10^-^1^9 J[/tex]

What is the energy of photon?

The energy that a single photon carries is known as photon energy. Energy is inversely correlated with electromagnetic frequency of the photon.

The energy of a photon is given by the formula

E = h*v

where,

h = planks constant

v = frequency

Given,

h =  [tex]6.626 * 10^-^3^4 J s[/tex]

v = 7.30 × [tex]10^1^4[/tex] Hz

1 Hz = 1 [tex]s^-1[/tex]

v = 7.30 × [tex]10^1^4 s^-1[/tex]

E = [tex]6.626 * 10^-34 * 7.30 * 10^1^4[/tex]

E = [tex]48.36 *10^-^2^0 J[/tex]

E = [tex]4.83 * 10-19 J[/tex]

The energy (in Joules) of a single photon of blue light = [tex]4.83 * 10^-^1^9 J[/tex]

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if 4 different amplitudes are used, the numbers of bits that can be transmitted with each amplitude change is 2 bits.

Distance between the wave's resting position and its highest displacement is known as amplitude. Frequency is the quantity of waves that pass by a particular place each second.

The distance between the center line (or the still position) and the top or bottom of a wave's crest or trough is known as the amplitude (). Be cautious when using this amount because a diagram may not always show the center line. Meters are used to measure amplitude ( ).

For example:

If there is 4 amplitudes, it will be: 00,01,10,11 then  2 bits

If there is 8 frequencies it will be: 000,001,010,011 ,100,101,110, 111 and then  3 bits

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See full question below

With Amplitude Shift Keying (ASK), if 4 different amplitudes are used, how many bits can be transmitted with each amplitude change?

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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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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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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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 fraction of the person submerged when floating gently on the freshwater is 0.973.

The average density of the human body = 973 kg/m³.

According to the Archimedes' principle, when a body floats in a fluid it experience is an upward force on it which is called buoyancy the buoyancy on an object is equal to the weight of the fluid that is displaced by the body.

If a body floats than the buoyancy must be equal to the weight of the body.

therefore buoyancy B can be given as

B = Vρg

V is the volume of the body,

ρ is the density of the body.

Also

B = V'xg

V' is the portion of the body submerged in fresh water,

x is the density of the fresh water.

Density of fresh water is 1000kg/m³.

Equating both the equations of 'B'

Vρ = V'x

ρ/x = V'/V

V'/V = 973/1000

So, the fraction of the human body submerged in freshwater is 0.973.

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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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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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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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Maximum normal stress and the maximum shearing stress in the tank are 60MPa and 18.277 MPa respectively.

Define hoop stress

A "hoop stress" is a stress distribution that maintains its original shape while the stressed item is rotated around a fixed axis. Any force exerted on the cylindrical pipe wall by a pressure differential in a straight, closed pipe will eventually result in hoop stresses.

According to the definition, shearing stress is "a kind of stress that acts parallel to the cross section of the material." Shear forces result in shear stress. They are a pair of forces that have the same magnitude and are directed in the opposite direction and operate on opposite sides of a body. A vector quantity is shear stress.

Given Data

Diameter: d = 180mm

Wall Thickness: t = 12mm

Torque: T = 12kN.m

Pressure in cylinder: p = 8MPa

Inner Radius ,c1  = d/2

                      c1  = 180/2

                      c1 = 90*10^-3 m

Outer radius, c2  = c1+ t

                      c2 = 90+12

                       c2 = 102*10^-3m

Polar moment of inertia ,J is 3.14/2*(c2^4- c1^4)

                        J ≈66.968×10^-6 m^4

The maximum torsional shear stress,  τ= Tc/J

                       τ=18.277MPa

​The normal stress due to pressure, σ1 = pr/t

                        σ1 = 60MPa

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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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(a) The work done is 1.50 x 10^-6 J

(b) The potential of the starting point with respect to the endpoint is 357.14 V.

(c) The magnitude of E is 5952.38 N/C.

Given that,

Charge = 4.20 nC

Distance = 6.00 cm

Kinetic energy K.E = 1.50 x 10^-6 J

The particle start from rest. So, the initial kinetic energy i zero.

(A) We need to calculate the work by the electric force

Using formula of work done

W = ∆K.E

W = K.Ef - K.Ei

Put the value into the formula

W = 1.50 × 10^-6 - 0

W = 1.50 x 10^-6 J

The work done is 1.50 x 10^-6 J

(B). We need to calculate the potential of the starting point with respect to the endpoint

We know that.

Change in potential energy = change in kinetic energy

∆P.E = ∆K.E

So, U = 1.50 x 10^-6

Using formula of potential

V = U/q

Put the value into the formula

V = 1.50 × 10^-6/4.20 x 10^-9

V = 357.14 V

The potential of the starting point with respect to the endpoint is 357.14 V

(C) We need to calculate the magnitude of E

Using formula of work done

W = F x r (1)

Using formula of force

F = qE

Put the value in the equation (1)

W = qE x r

E = W/q x r

Put the value into the formula

E = 1.50 x 10^-6/4.20 x 10^-9 x 6.00 x10^-2

E = 5952.38 N/C

Hence, The magnitude of E is

5952.38 N/C

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Answer:

C. Artificial Resevoirs

Explanation:

For two main reasons; the first is the capacity of water of water they contain, and the second one is for mainteinance purpouse.

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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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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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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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 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 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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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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For a long straight wire carrying conductor the magnitude of the magnetic field produced around it  is proportional to I/r, and the direction is out of the page at P.

A magnetic field is produced by moving charges. Charges are constantly moving in a conductor carrying current; as a result, magnetic fields are created all around the conductor.

The right-hand thumb rule indicates the direction of this magnetic field. The thumb of the right hand is used in this rule to indicate the current's direction. The direction of the magnetic field surrounding the wire is indicated by the curled fingers.

The magnitude of the magnetic field produced by the current carrying conductor depends on the following factors:

The magnitude of the current flowing through the conductor

The distance to the point where the field value is calculating.

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Answer:

Heat in = 715 K

Heat out = 250 K

Heat converted to work = 715 - 250 = 465 K

Efficiency = 465 / 715 = .65

(a)    Maximum efficiency = 65%

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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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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Answer: B: counter clockwise

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

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

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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