for the oscillation of a simple pendulum, the time for the mass moving from the left-most to the equilibrium position is 0.5 s. find the length of the pendulum (in m)

The answer is "true" that if a particle is having zero momentum then it must also have zero kinetic energy.

Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.

The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.

If the system has zero momentum it means that it has zero velocity because momentum is the combination of mass and velocity and when the velocity is zero the kinetic energy of the particle is also zero.

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a)  time, t = 11.407 s, b) distance   x = 175.66 m,  v = c)      speed    v = 30.80 m / s

a) This is kinematics exercise,  write the equation of each vehicle car is;-

 x = x₀ + v₀ t + ½ a t²

Let's fix our the reference system at a point where the car  indicate that the car stops from rest is vo = 0.

 x₀ = v₀ = 0

x = ½ a t²

truck  

x₂= v₀ t

v₀ = 15.4 m / s

At the point where they are,  positions are equal:-

½ a t² = vo t

t = 2 vo / a

calculate us

t = 2 15.4 / 2.

t = 11.407 s

b) the distance to reach it

x = ½ to t²

x = ½ 20 11.407²

x = 175.66 m

c)  the speed of the car is

 v = vo + a t

  vo = 0

    v = at

      v = 2.0 11.407

       v = 30.80 m / s

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Gravitational potential energy of block is 58.8  joules.

It is the potential energy which a massive object has in relation to another object due to gravitational force.It is the potential energy associated with gravitational field which releases when objects fall towards each other.It increases when two objects are brought far apart.

It is calculated by the formula,

PE=mgh

where m=masses of particle

R= distance between 2 objects

G= gravitational constant

In the given problem,formula PE=mgh  is used.

mass=2 kg

g=9.8m/s²

h= 3 m

Substituting values in equation

PE=2×9.8×3=58.8 J  

It is  the energy which is stored in the object due to its height above the ground.It depends on mass and height of body.

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13) Skinner was known for training animals in operant conditioning is False 14) Media violence and aggressive video games decrease viewers' level of emotional arousal is True, 15) The child shows discrimination towards the hot stove is False.

B. F. Skinner did use animals especially rats in his experiments but he was not interested in training them. He was interested in analysing behaviour and said that behaviour that is followed by pleasant consequences will likely be repeated and behaviour followed by unpleasant consequences is less likely to be repeated. This was called Law of Effect-Reinforcement by him i.e., the behaviour which is reinforced tends to be repeated and the behaviour which is not reinforced tends to die out. Watching violence through media or video games will arouse aggressive thoughts of person but are likely to decrease emotional empathy of the viewers for victims. Arousal of agressive thoughts need not necessarily be normal emotional arousal. This is actually called higher order conditioning. In this situation, a previously neutral stimulus becomes a conditioned stimulus after being compared repeatedly with a learned stimulus. On the other hand, discrimination is a tendency of an individual to differentiate between a conditioned stimulus and a similar stimulus, that won't result in unconditioned stimulus.

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The velocity of the second ball after the collision is  2.8m/sec if both first and second  ball collide head-on a table.

We are given that there is no role of friction and collision is perfectly elastic, it means momentum conservation is possible.

Since, all collision is happening along a single axis. So, we assume all collision is happening in x-axis.

Now, we need to conserve momentum along x-axis which states that initial momentum of the system is equal to final momentum of the system.

Now, we know that momentum is given by the product of mass and velocity.

So, initial momentum of the first ball is =0.50×12=6.00kg-m/sec

initial momentum of the second ball is=0.75×(-16.0)= -12.00kg-m/sec

Final momentum of first ball is =0.50 × (-21.6)m/sec = -10.8kg-m/sec

Final momentum of second ball =0.75×vkg-m/sec

Therefore, 6+(-12) = (-10.8) +(0.75v)

=> -6 =-10.8+0.75v

=>0.75v=10.8-6

=>0.75v=4.8

=>v=4.8/0.75

=>v=2.8m/sec

Hence, velocity of second ball is 2.8m/sec.

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The steps of cycle of density of current :

1)Top layer of the ocean freeze , releasing salt

2) Warm less dense water flows towards the pole

3) Salty cold water sinks to the bottom of the ocean

4) Warmer water rises and mixes with less salty water

5)  At  the equator solar energy warms the water

Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.

The measurement of the flow of electric charge through the cross-unit section's area in a certain amount of time. A vector quantity is the current density. It has magnitude and direction, thus. A/m2 is the S.I unit for current density, and it is represented by the letter J.

The amount of electric current passing through a material per unit of its cross-sectional area is known as its current density. Ampere/meter2 must be the SI unit for current density.

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The angular frequency of the glider that takes 0.30 s to travel the distance of 12 cm from one turning point to another is 20.93 rad/s.

The angular frequency is the magnitude of the angle of the sector of the circle formed by the trajectory of the point that moves in a circle per unit time. Briefly, angular speed is the angular speed accompanied by the direction. The unit of angular speed is rad/second or rad/minute or rad/hour, depending on what is known from each problem.

The equation for determining the angular speed or angular frequency is:

ω= 2[tex]\pi[/tex]/T or ω = 2[tex]\pi[/tex]f

Where f = 1/T

ω = angular speed or frequency (rad/second)

[tex]\pi[/tex] = 3.14

f = frequency (rev/second)

T = period (second)

We have,

T = 0.30 s

So, ω = 2[tex]\pi[/tex]/T

= 2 (3.14) / 0.30

= 20.93 rad/s

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The acceleration of the eraser is 169.19 m/s².

A body travelling in a circle has centripetal acceleration. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration.

Given that angular velocity of the eraser: ω = 127 rpm

= 126×2π/60 radian/second

= 13.2 radian/second.

radius of the circle: r = 0.974 meter.

Hence, its centripetal acceleration is = ω²r

= 13.2×13.2×0.974 m/s²

=169.19 m/s².

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If the pilot wanted to fly at the same flight mach number 2,200 ft above sea level then the corresponding flight velocity is 296.285 m/sec.

Velocity v is a vector, with units of meters per second. Velocity indicates the rate of change of the object’s position  i.e., velocity tells you how fast the object’s position is changing. The magnitude of the velocity indicates the object’s speed.

The direction of the velocity indicates the object’s direction of motion. The velocity at any point is always tangent to the object’s path at that point.

Thus, the velocity tells you how the object is moving. In particular, the velocity tells you which way and how fast the object is moving.

Given,

V = 484 Knote

V = 250.534 m/sec

Alitude = 43000+1 = Altitude =13.106 km

T= -54.59°C.

a)T= 218 48K.

then

C =[tex]\sqrt{KRT}[/tex]--------(1)

Substituting valves in (1)

C=[tex]\sqrt{K*284*218.43}[/tex]

C = 296.285 m/sec

then

M= V/c 250.534/296.285

M= 0.8455

b)V=140 knote

v = 72.02 m/s.

P = DRT

T = P/DR--------(2)

substituting all values in (2)

T = 101. 395 kpa/1.2 x 0.284

T = 101.395/ 0.3444

T = 294.207K

then,

c=343.82 m/s

m=v/c

m= 72.02/343.822

m= 0.2094

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If you stare at a red object and immediately look at a white area afterward, you will see an afterimage that is the same size and shape, but it is blue-green, or cyan, in color. '

This is known as the opponent process theory

The opponent process theory of color vision says that color is processed in pairs (red-green, yellow-blue, and black-white.)

It means that Light that stimulates one half of the pair inhibits the other half.

In conclusion, this opponent process is thought to be responsible for our perception of color and explains why people experience afterimages.

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The main symmetry types are as follows. When all objects are mirrored about a central axis, reflection symmetry—also known as bilateral symmetry—occurs.

The symmetrical equilibrium found in nature is well represented by the human face. You would have two sides of your face with the exact identical pattern if you drew a line down the middle of it.

Asymmetrical balance is when a design appears balanced while having contrasting visual representations on either side. A design must have differential visual weight on either side in order to be deemed asymmetrical, yet those unequal visuals must balance one another.

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Energy this wave carry through the window during a 30.0 s commercial is E = 8.2 x 10⁻⁵ J

Area = 0.5 m²A

electric field of wave = 0.0400 V/m

time = t =30 sA

intensity of electromagnetic wave

I=2ηcε∣E∣

c is speed of light

I = 4.24 x 10⁻⁶ W/m²

the amount of energy required

E = I A t

E = 4.24 x 10⁻⁶ x 0.5 x 30

E = 8.2 x 10⁻⁵ J.

A wave's intensity (I) is calculated by dividing its rate of energy transfer by the surface area over which the energy is dispersed. The rate of energy flow per unit area is, in other words, what intensity is.

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Answer:

One force acts on the object

A situation is impossible in such a circumstance - one force acts on the object. Because when the object is moving at constant velocity it means net force is zero. If one force acts on the object, net force is always not a zero. All the other combinations (no forces, two forces, three forces … )could give a resultant force equal zero

Raul pushes a stalled car with a force of 204 N. The average power required to move the car is 157 Watt.

The average power is given by:

P = ΔF . s / Δt

Where:

P = power

ΔF = force changes over a time period Δt

s = distance

Parameters given in the problem:

ΔF = 204 - 44 = 160 N

s = 16.3 m

Δt = 16 s

Plug these parameters into the formula,

P = ΔF . s / Δt

P = 160 x 16 / 16.3

P = 157 Watt

Hence, the required power is 157 Watt.

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The wheel will take  0.207 seconds to turn through 110°.

Wheel is a circular object that rotates on an axis and is fixed under a vehicle or other object so that it can move easily on the ground.

one complete revolution = 2[tex]\pi[/tex] radian

one revolution = 6.28 rad

1° = [tex]\pi[/tex] / 180 radians

110° = 110 * ([tex]\pi[/tex] / 180) radians

110° = 1.92 radians

The wheel take 0.68 seconds to cover 6.28 radians.

Time taken by the wheel  to turn through 110°  = Time taken to cover 1.92 radians.

Using unitary method,

Since 6.28 radians require 0.68 sec

1.92 radians will require 'x' sec

x = (0.68 * 1.92) / 6.28

x = 0.207 sec

0.207 seconds does it take the wheel to turn through 110°.

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The pressure exerted on the ground by the box of mass 5 kg is 0.98 N/m².

Pressure is defined to be the amount of force exerted per area acting on the surface of a body.

To calculate the preesure exerted on the ground, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the pressure exerted on the ground is 0.98 N/m².

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Technician A is right. A pressure plate with a diaphragm requires less pedal effort to operate than one with a coil spring.

A diaphragm clutch is a type of car clutch that uses a diaphragm spring to engage and disengage the clutch.

The structure of this clutch is very similar to that of a single plate clutch, with the exception of using Belleville springs instead of coil springs in the diaphragm. Because there are no release levers and the spring has multi-lever functionality, this clutch has more advantages. The spring's pressure is constantly changing. It rises until the spring is flat, at which point it begins to descend. Unlike a coil spring-type clutch, the driver of this clutch does not need to apply as much pedal pressure to keep the clutch from engaging.

Thus clutch plate pushes the friction plate onto the flywheel. The diaphragm spring is located on the plate on one side of the pressure.

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To distinguish the individual holes, the minimum distance between the person and the tile is 29.8mm ≈30 mm.

Wavelength can be defined as the distances between 2 successively Crest or the  throughs of any wave.

According to Rayleigh's criterion, the angular separation between two point sources is given as follows.

8 = 1.22A d

Here, λ = wave length,

d =circular aperture diameter.

Since the regular separatione is very small, the value of sine is nearby equal to e=㏑

Where D is the center-to-center distance between two point lights and L is the distance from the screen to the light source.

Substitute for e in the above equation 1.22A

8 =d

To obtain the expression for L as

D /L= 1.22A /d

Rearrange the mentioned equation for L as follows:

L = Dd d1.22A

Substitute 0.005m for D, 0.004m for d, and

550 × 10⁻⁹m for λ in the above equation

L = (Dd)/(1.22lambda) to obtain the values of L as follows:

L = ((0.005m)(0.004m))/(1.22(550 × 10 ⁻⁹ m))

L =29.8mm

Thus, the distance between  the person from the tile distinguishes the individual holes.

(Rounding off to two significant figures) is 30 m.

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Answer:

To calculate the minimum frequency of radiation for which electrons can be emitted, we need to use the equation E = hf, where E is the maximum energy of the emitted electrons, h is the Planck constant, and f is the frequency of the radiation. Substituting the given values, we get:

E = hf

1.2 x 10^19 J = (6.6 x 10^34 Js)(f)

f = 1.8 x 10^15 Hz

Therefore, the minimum frequency of radiation for which electrons can be emitted is 1.8 x 10^15 Hz.

Explanation:

To calculate the minimum frequency of radiation for which electrons can be emitted, we need to use the equation E = hf, where E is the maximum energy of the emitted electrons, h is the Planck constant (6.6 x 10^34 Js), and f is the frequency of the incident radiation.

Plugging in the given values, we have E = (6.6 x 10^34 Js)(5.4 x 10^14 Hz). Solving for f, we get f = E/h = (1.2 x 10^19 J)/(6.6 x 10^34 Js) = 1.8 x 10^-15 Hz. This is the minimum frequency of radiation for which electrons can be emitted from the metal surface.

The mass and size of the moon also affect its gravitational pull. The moon won't draw things toward itself with the same force as the Earth because it has a lot less gravity than the latter.

The fact that spacetime actually bends and curves due to the mass of all objects, including our Earth, is what enables gravity to draw you toward the ground. That curvature is what you perceive as gravity. The magnitude of gravity's influence increases with the number of masses (also called the gravity force).

According to Newton's law, the strength of gravity or between two materials is determined by their mass and distance from one another. Greater gravitational attraction exists between heavier things.

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The number of turns in the secondary coil of the transformer is 13.

A transformer is a device that transfers electric energy from one alternating-current circuit to one or more other circuits, either increasing (stepping up) or reducing (stepping down) the voltage.

To calculate the numeber of turns in the primary coil of the transformer, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1nad solve for N

Hence, the number of turns is 13.

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you cannot simply determine a direction in which the object traveling because it shall depend on the time the force is acting.

How to use Newton's laws?

The second Newton's law states that:

F = m*a

This says "force equals mass times acceleration".

Where acceleration is the rate of change of the speed. From that equation, we conclude that the acceleration is in the same direction that the net force.

So, if we know all the forces acting on an object, we know the net force acting on it, then we know the direction of the acceleration.

Is this enough to know the direction in which it is moving?

No, the object does not need to move in the same direction than its acceleration, the direction of motion will also depend on the initial velocity of the object (if it is initially moving with constant speed).

If we don't know that, we can't find the direction of motion.

An example of this can be a car going at 100km/h east-wise.

Then we apply a net force due west, then we have an acceleration due west. But as the initial direction of motion was east, the car will still move to the east, but the velocity will decrease gradually.

So as you can see in that example, we need to know the initial velocity to know the direction in which the object is moving.

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The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]

What is decay of nuclide?

Radioactive decay is a statistical phenomenon that occurs when unstable nuclides spontaneously decay and emit particles or photons. Alpha, beta, gamma, electron capture (EC), proton emission, neutron emission, cluster radioactivity, and spontaneous fission are the decay modes.

We know that,

M(t) = M e^-λt

Where,

M(t) = Mass of nuclide after decay of time t

M = Mass of nuclide after decay

λ = rate constant

t = time for decay

e^λt = M / M(t)

taking ln on both side:

λt = ln[tex](\frac{M}{M(t)})[/tex]

λ = [tex]\frac{ln(\frac{M}{M(t)})}{t}[/tex]

Given:

t = 23 mins

M = 12.9 gms

M(t) = 2.04 gms

Subsituting the values

λ = [tex](\frac{ln(\frac{12.4}{2.04})}{23}) min^-^1[/tex] = 0.0802[tex]min^-^1[/tex]

The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]

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Alpha waves signify deep sleep.

Alpha waves are brain waves that are associated with relaxed alertness. They have a frequency of 8-13 Hz, which makes them the slowest of the frequency bands. They are most commonly seen in awake adults who are in a relaxed, awake state of consciousness. Alpha waves are associated with creativity, concentration, and relaxation.

Alpha waves are the most common type of brain wave, and they are associated with a relaxed, wakeful state of mind. Alpha waves are generally present during light meditation and relaxation and signify a state of relaxation and alertness. When alpha waves are present, the brain is in a state of deep relaxation, and this is when the body is able to repair itself and restore itself.

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They have been a lot greater big than maximum stars born today. Angular momentum performs an crucial position in big name formation.

The first-era stars are predicted to be very big, however the 2d-era stars may be low-mass items even though they're shaped from metal-loose gas. 1. Formation of the First Stars withinside the Universe Recent research tested that the primary stars withinside the universe are very big.

They shaped in small protogalaxies that advanced from density fluctuations withinside the early universe. and helium, the physics of big name formation desired the advent of our bodies that have been in many instances greater big and luminous than the sun. stars exploded as supernovae, dispersing heavy factors all through the universe.

As the Earth orbits across the Sun, constellations pass slowly to the west over the path of a year and we see special components of the sky at night time because, because the seasons change, we're searching in a special route in space.

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The 10 diopter lens to be held closer to a piece of paper when focusing a distant object and diopter is unit of power of accomodation.

Two roughly fitting curved surfaces ground together will eventually become spherical spheres don’t bring parallel rays to a point this is called spherical aberration nearly axial rays (paraxial rays).

Two types of lens Convex and concave. Convex lenses make real images, concave make virtual images,the power of a lens (in diopters) is 1 over its focal length.

Implication of the gaussian formula is that when combining two lenses, add their power, adding a closeup filter allows a smaller object distance, changing object and image distances changes magnification.

lenses perform a 3D perspective transform of object space an object’s apparent size is inversely proportional to its distance linear lens motions move the in-focus plane non-linearly, focusing a lens changes the image size (slightly).

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Answer:

Please send a picture for context and I will be able to answer the question.

Explanation:

Without the picture I do not understand.

(b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.

A photon is a discrete bundle (or quantum) of electromagnetic energy, often known as light energy. Photons have no mass, thus they move at the same rate as light (3 108 m/s). Each photon possesses the speed of light, or c, momentum (p = h v/c), energy (E = h), and momentum (p = h). Due to their electrical neutrality, photons are not affected by magnetic or electric fields. Radiation absorption or emission can result in the creation or destruction of photons.

The smallest elemental component of an atom, the electron has a negative charge. In a neutral atom, there are an equal number of protons and electrons. One electron and one proton are all that the hydrogen atom has.

Hence, (b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.

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The interval of rocket speed ds² = (c*dt)² - dx²  is invariant.

What are the features of a rocket ?

A rocket is a special type of jet-propulsion device which carry either solid or liquid propellants and it provide both the fuel and oxidizer needed for combustion.

The rocket is commonly applied to various vehicles, including firework skyrockets, guided missiles, and launch vehicles applied in spaceflight.

The  physical principle involved in rocket propulsion was  derived by Sir Isaac Newton. According to third law of motion, the rocket experiences an increase in momentum proportional to the momentum carried away in the exhaust.

The rocket speed L is calculated to be as:

L= L₀ √1 - (v²/c²)

When differentiating we get

ds² = (c*dt)² - dx²

(c*dt)² = dx² + ds²

(c*dt)² = d(x² + s²)

Therefore, with this we can find the speed of rocket to be (c*dt)² = d(x² + s²).

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