if the mass of a wheel is increased by a factor of 2 and the radius is increased by a factor of 1.5, by what factor is the moment of inertia increased? model the wheel as a solid disc.

When the wire's resistance is about 0.038 ohms and a 0.8 a current running through it, then power that the wire will use is 0.024 W.

We define power as the rate of doing work or can be said that it is the work done in unit time. The SI unit of power is Watt which can also be written as joules per second (J/s). Sometimes, power of motor vehicles and other machines is given in Horsepower (hp), which is approximately equal to 745.7 watts.

P= V *I

Given I= 0.8A and R= 0.038 ohms

V = IR

= 0.8*  0.038

= 0.0304 v

Power= V *I

= 0.0304 * 0.8

Power = 0.024 W

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When a  plane flies horizontally at an altitude of 5 km and passes directly over tracking telescope on the ground, then the plane is traveling at the speed of 8.69 km/min.

The angle of elevation is widely used for height and distance in trigonometry. It is defined as the angle between horizontal plane and oblique line from the observer's eye to any object above his eye.

tan(θ) = opposite / adjacent

tan(θ) = y/x

x tan(θ) = y

x = y/tan(θ)

x = 5/tan( π/3)

dx/dt * tan(θ) + x * sec²(θ) * dθ/dt = d y /dt

As altitude remains the same, d y/dt = 0

dx/dt * tan(π/3) + 3/tan(π/3) * sec²(π/6) * -π/6 = 0

dx/dt = [5/tan(π/3) * sec²(π/3) * π/6} / tan(π/3)]

= 5/0.018* 3413.6 * 0.52/ 0.018

= 8.69 km/min

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Note: The question given on the portal is incomplete. Here is the complete question.

Question: A plane flies horizontally at an altitude of 3 km and passes directly over a tracking telescope on the ground. when the angle of elevation is π/6, this angle is decreasing at a rate of π/4 rad/min. how fast is the plane traveling at that time?

When a 5.00 m-long ladder, with all weighing of 200 n, rests among a smooth vertical type of wall, then the ladder, will be measured among the the height = 0.488 m.

If θ be the angle ladder makes with the plane

cos θ = 1.2 / 5

Tan θ = 4.04

Let the height a person of weight 600 N  can climb be h from the ground .

Distance from the base point  where ladder touches the floor  = h / tanθ

= h / 4.04

Total reaction force = total downward force

R = 200 + 600

800 N

Frictional force = μ R

= .2 x 800

= 160 N

Taking moment of force about the point on the ladder  where it  touches the floor  and balancing them

= 200 x 1.2 x .5 + 600 x   h / tanθ  = μ R x  1.2 / tanθ ( reaction  at the top point of ladder where it touches the wall is  R₁ and R₁ =μ R   )

= 200 x 1.2 x .5 + 600 x   h / tanθ  = 160 x 1.2 / tanθ

120  - 600 h / 4.04 = 47.52

120 - 47.52 = 600 h / 4.04

72.48= 148.51 h

h = 0.488  m  

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It would take 100.6 periods of oscillations  for the energy of vibrating string to decay in 0.305 seconds.

Resonance is defined as a system's tendency to vibrate with increased amplitude when frequencies are excited. The maximum frequency at which the amplitude is relatively maximum is referred to as the resonance frequency or resonant frequency. The sharpness of the resonance is defined by the Q factor.

Given,

resonant frequency, f = 329.6 Hz

Quality factor , Q = 632

We know that that quality factor is equal to [tex]2\pi[/tex] .i.e [tex]Q=2\pi[/tex]

then, for  2 periods of oscillations , the energy of vibrating string to decay by factor of 'e' be

[tex]Q=2\pi n\\\\632=2\pi n\\\\n=\frac{632}{2\pi}\\\\n=100.63[/tex]

then, the time elapsed can be determined by,

[tex]f=\frac{n}{T}\\\\329.6=\frac{100.63}{T}\\\\T=\frac{100.63}{329.6}=0.305s[/tex]

Thus, the energy of a vibrating string would decay in 0.305 seconds after 100.6 oscillations.

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A car weighing 1,800 kg is parked on a road with an elevation angle of 7, and Fn = 17526.4 N

The definition of force in physics states that when an object with mass is pushed or pulled, it alters its velocity. A body's resting or moving status can be changed by an external agent known as force. It has both size and motion.

It takes force to push or pull something. Pushing, tugging, picking, hitting, lifting, running, and bending are examples of actions that involve the application of force. The movement or stopping of a body, as well as changes to an object's shape or motion, are a few examples of actions that show the usage of force.

In mechanics, a force is any action that aims to maintain, alter, or deform a body's motion.

   =mgcosФ

   =1,800 (9.81)cos7

   =17526.4 N

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The law of reflection states that when light rays reflect off a surface the angle of incidence is equal to the angle of reflection.

The process by which light rays strike a surface and are reflected back is called light reflection.

The laws of reflection is the principle or rule that governs the phenomenon of light reflection.

Therefore according to the law of reflection, the angle of incidence is always equal to the angle of reflection.

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The increase in the internal energy of the water at the bottom of the falls is 247,450 J.

The potential energy of a body at a given height above the ground is given as the energy that a body possesses due to the height it is above the ground.

Potential energy is given mathematically as, PE = m * g * h

where;

For the given mass of water, the increase in the internal energy of the body is calculated as follows:

Change in internal energy = Potential energy

Change in internal energy = 505 * 9.8 * 50

Change in internal energy = 247,450 J

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The Sun emit neutrinos because of the fusion in the Sun's core creates neutrinos.

Most of the neutrinos that are currently flowing through you came from the sun. Every second, a hundred billion solar neutrinos travel through our fingernail.

Nuclear fusion occurs in the sun, where it results in the creation of neutrinos. Protons, the nucleus of the most basic element, hydrogen, combine during fusion to create helium, a heavier element.

As a result, neutrinos and energy are released, which will eventually manifest on Earth as light and heat.

These solar neutrinos represent an overall energy emission from the Sun of about 1%. Every second, the Sun emits 1038 neutrinos, each carrying 4 1024 W of electricity.

The sun's core can also be directly understood through the use of solar neutrinos. Unexpectedly, neutrinos generated in the sun's core reach to

Earth before light from the sun (formed in the same reaction), something we would not expect. This isn't because neutrinos can move more quickly than light since they can't.

Neutrinos encounter with matter so infrequently that they are able to immediately depart the sun's dense core, whereas photons (the light particles) bounce around before breaking free.

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The total displacement of the airplane is found to be 400 km West

First of all the airplane Travels 1000 km in the direction of west and then the airplane Travels 600 km in the direction of East.

Now if we assume the is direction to be the x-axis and the west direction to be the negative access because they both are completely opposite of each other, then we can define the total displacement has the difference between the initial position U and the final position V of the airplane which will be given by,

D = (V-U)

Now, putting all the values,

D = -1000-(-600)

D = -400km.

So we can say that the total displacement of the airplane is -400 km in the direction of West.

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Ultrasonic scaler is the power-driven scaling instrument that convert a high-frequency electrical current into mechanical vibrations.

Advantages of Ultrasonic Scaling:

Purposes and Uses of ultrasonic and sonic scaling:

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The total momentum vectors will not change prior to or following a collision. When two objects collide at an angle from one another, their momentum will not change. Thus, the momentum of objects colliding remains constant.

Because momentum is dependent on mass and velocity, objects in space can have momentum. Mass is a property that does not change depending on where an object is, unlike other properties like weight.

Simply said, mass is the continuous amount of matter that makes up an item. Thus, momentum is a property of objects in space.

Therefore, Both the ship and the individual are moving at a 2 km/h rate.

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The correct option B. opposite the direction of the displacement from equilibrium, is the direction of the restoring force.

Mechanical waves that move through a solid, liquid, or gas with a wave speed that is influenced by the elastic and inertial characteristics of that medium.

Thus, the force that returns an object to its equilibrium position is known as the restoring force; it is denoted by a negative sign since its direction of action is the opposite of that of the displacement.

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The discoveries of Copernicus and other astronomers proved that universe was heliocentric which affected the way people viewed the universe.

Thus, the correct answer is D.

The word "helios" in Greek meаns "sun." Heliocentric meаns thаt the sun is аt the center. А heliocentric system is one in which the plаnets revolve аround а fixed sun.  This theory wаs first proposed by Nicolаus Copernicus. Copernicus wаs а Polish аstronomer. He first published the heliocentric system in his book: De revolutionibus orbium coelestium, "On the revolutions of the heаvenly bodies," which аppeаred in 1543.

After 1,400 yeаrs, Copernicus wаs the first to propose а theory which differed from Ptolemy's geocentric system, аccording to which the eаrth is аt rest in the center with the rest of the plаnets revolving аround it. The clаim thаt аll plаnets revolve аround the sun hаd been rаised in аncient times, but Copernicus wаs the first to succeed in describing the movements of the plаnets using аn аstronomicаl theory which plаced the sun аt the center.

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Answer: C. Discrimination by employers

Explanation:

Economist Y is most likely to be correct when labor and product markets are highly competitive and the lower wages of the disfavored group result from discrimination by employers.

option C is the correct answer.

Discrimination in the workplace happens when an employer treats his or her employee unfairly or unequally because of specific characteristics.

Labor market discrimination against certain workers unfairly leads to lower wages for the disfavored group.

Example of labor market discrimination include the following;

According economist Y, government intervention cannot eliminate this unfair treatment since it is caused by the market (employers) and the best solution to the unfair treatment is to let the market (employers) work to eliminate it on its own.

Thus, economist Y is correct because this discrimination is caused by the market (employers).

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a. The hip joint's angular displacement from on to off is 49.1°.

b. The hip joint's maximum angular velocity is 55.4°/s, and it is a flexion velocity.

c. The muscles gluteus medius, gluteus maximus, and semitendinosus provide the maximum extension torque of the hip at 50% of the movement. It is a concentric contraction.

d. The muscle known as biceps femoris long head produces the maximum flexion torque of the hip at the 75% mark of the exercise. It's an eccentric contraction.

e. The gluteus medius, gluteus maximus, and semitendinosus all contribute to the peak extension torque, which is a concentric contraction.

F. Eccentric contraction of the biceps femoris long head causes the maximum flexion torque.

What is angular velocity?

Angular velocity is the rate of change in the angle between two bodies or the pace at which an item revolves or rotates around an axis. This displacement in the illustration is shown as the angle between a line on one body and a line on the other.

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Some potential energy was converted into thermal energy due to friction. Option C

We know that the term mechanical energy has to do with the energy that possessed  by a body owing to the fact that it is in motion or the fact that it is stationary. If the energy is possessed by the object because the object is moving, that means that the energy is the kinetic energy. If the energy is due to the position of the object, we say that the energy is potential.

Now we know that in a closed system, the total mechanical energy of the system must be a constant. The implication of this is that the potential energy of the object at the top of the ramp must be equal to the kinetic energy of the object at the bottom of the ramp.

However, the existence of friction causes some of the energy of the object to be lost as heat as it is descending down the ramp.

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Change in decibels is  20 dB.

The power emitted by an antenna is measured in decibels (dB). Antenna gain, which is a measure of how strong the signal it transmits or receives is compared to a reference antenna, is also measured in dB.

To calculate the change in decibels due to a change in power, we can use the following formula:

change in dB = 10 × log10(new power / old power)

So comparing an omnidirectional antenna to a dish antenna, if the dish antenna quadruples the radiated power, the change in decibels is:

Change in dB will be 10 × log10(4 / 1)

= 10 × 2 = 20 dB

This means that a parabolic antenna has 20 dB more gain than an omnidirectional antenna.

It is important to note that this is only an approximation and the actual gain of an antenna depends on many factors such as antenna size, shape, orientation, and frequency of the signal being transmitted or received.

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The each crevice makes a single vibration as the tire moves. what is the frequency (in hz) of these vibrations if the car moves at 27.2 m/s Frequency =1208.9 Hz

From the question, we have

speed = 27.2 m/s = 2720 cm/s

The tire has a tread pattern with a crevice every 2.25 cm

frequency = 2720/2.25

=1208.9 Hz

Frequency :

The quantity of waves that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in half a second, the frequency is 2 per second. The frequency is 100 times per hour if it takes 1/100 of an hour. The frequency of the wave is the sum of all waves generated in a second. Frequency is the measure of how many vibrations occur per second. Here is a straightforward illustration: The frequency of the waves will be 5 hertz (Hz) or 5 cycles per second if five full waves are created in one second.

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Types of water with "Multiple" applications include reservoirs that generate power, canals that are used for transportation, as well as lakes that are utilized for recreation.

A reservoir is a man-made lake used to store water. The majority of reservoirs are created by building dams across rivers.

Thus, types of water with "Multiple" applications include reservoirs that generate power, canals that are used for transportation, as well as lakes that are utilized for recreation.

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The complete question is-

reservoirs used to produce electricity, canals used for transportation, and lakes used for recreation are examples of water with ______ uses.

By ideal gas theory, cylinder b has the higher temperature do the temperature changes of the two cylinders compare.

The phrase "ideal gas" describes a fictitious gas made up of molecules that adhere to the following principles: No attraction or repellence exists between the molecules of ideal gases. The sole action between molecules of an ideal gas would be an energetic collision when they collided or an athletic collision with the container walls.

To answer this issue, we must be familiar with the ideal gas theory. The ideal gas is depicted by

P . V = n . R . T

where R is the ideal gas constant, T is the temperature, n is the number of molecules, P is the pressure, V is the volume, and.

We can infer from the given query that

Pa = Pb = P

na = 3nb

Find the cylinder's temperature in a

P . V = n . R . Ta

Ta = P . V /( na . R )

Substitute na

Ta = P . V /( (3nb) . R )

Ta = (1/3) x (P . V /( (nb . R ))

Find the temperature of the cylinder b

P . V = n . R . Tb

Tb = P . V /( nb . R )

The temperature in cylinder an is three times lower than that in cylinder b.

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In the given scenario, the current is out of the screen following the right-hand rule. (Option A)

According to the figure provided the compass needle rotates in a counter-clockwise direction. The right-hand rule could be used to determine the direction of the magnetic field at the specific location. The right-hand rule states that to determine the direction of the magnetic force on a positive moving charge, point your right thumb in the direction of the velocity (v), your index finger in the direction of the magnetic field (B), and your middle finger will point in the direction of the resulting magnetic force (F). Hence, point the thumb in the direction that current is flowing and then curl the fingers around the line. Magnetic field direction will be indicated by the curling of fingers. Because the direction of rotation for the compass needle is in the opposite direction to clockwise, it would be counter- clockwise for the magnetic field direction. Hence, the current is out of the screen.

Note: The question is incomplete as it is missing options which are A) Out of the screen. B) There is no current in the wire. C) Into the screen. D) There is not enough information to tell the direction.

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The acceleration due to gravity at the surface of the new, compact planet would be three times greater than it is on Earth.

This is because gravity is inversely proportional to the square of the radius; as the radius is reduced to one-third of its original value, the acceleration due to gravity must increase by a factor of nine (3 squared).

Gravity is inversely proportional to the square of the radius because the force of gravity decreases as the distance between two objects increases. The force of gravity between two objects is inversely proportional to the square of the distance between them. As the radius increases, the distance between two objects increases, and the force of gravity between them decreases, resulting in a decrease in the gravitational force.

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If you thrust a magnet into a closed loop of wire, the loop will have current in it. So the correct option is B.

A magnet is a body with a magnetism that can attract different irons that can be given naturally or artificially. Magnets can have their magnetic field continuously and this field can attract materials or repel them, this will depend on the magnetic permeability of the compound. The magnetic field of the images will be oriented towards the south pole and the north pole and each of these will be attracted by their opposites.

Not all magnets have permanent magnetism, this depends on whether they are going to be magnetized to be permanent or if they will only have temporary functionality.

By pushing a magnet in a closed circuit of wire, a magnetic field will be generated in which a current will flow in the turns of wire.

Therefore, we can confirm that the correct option is B. have current in it.

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The distance fallen is proportional to the square of the falling time.

A graph of velocity vs. time is linear.

The distance fallen is proportional to the square of the falling time.

A graph of velocity vs. time is linear.

The complete question is,

A student conducts an investigation into the motion of a car that accelerates from rest on a straight, level roadway. A driver operating the car causes the car to speed up from rest at time t = 0 and the student makes measurements of the distance traveled and the speed of the car every second. What experimental evidence would support the conclusion that the car's acceleration is uniform? Select two answers.

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The change in the internal energy of the system is 3 *10^2 J

Work is done by system.

Hence work is negative.

Change in internal energy=500-200 = 300=3 *10^2 J

law of conservation Energy:

The law of conservation of energy states that energy is neither created nor destroyed, and can only be converted from one form of energy to another. This means that the same amount of energy is always available in the system unless supplied externally. This is especially confusing for non-conservative forces where the energy is converted from mechanical to thermal but the total energy remains the same. The only way to use energy is to convert it from one form to another.

The energy content of each system is determined by the formula:

UT=Ui+W+Q

where;

.UT is the total internal energy of the system.

.Ui is the initial internal energy of the system.

.W is work done by or on the system.

.Q is the heat added to or removed from the system. It is also possible to determine the change in internal energy of the system using the

equation: ΔU=W+Q

This is also a statement of the first law of thermodynamics.

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If the ring is off-center when it hits the disk, the disk will still spin, but the moment of inertia will be affected.

The off-center location of the ring will cause the disk to be unbalanced, which will cause the moment of inertia to be lower than it would be if the ring were centered. This means that the disk will not spin as rapidly or as long as it would if the ring were centered.

This means that the rotational energy of the ring will not be distributed evenly and the result will be an unbalanced, or skewed, rotation. This will cause an inaccurate measurement of the moment of inertia, as the off-center ring will not be able to provide a true representation of the rotational energy.

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The direction of the force of sliding friction is always that of velocity of the object.

Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight.

Let's start by learning about frictional forces from a basic understanding. If a metal block is on a table, it might not move in response to a weak force.

Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight. In particular, if the surface on which the body slides is horizontal, the normal force will be equal to the object's weight.

Thus, F = u tanα

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Tony's Arc Reactor serves as the power source for the Repulsors, which are located in the palms of the armor.Originally intended to stabilize the flight of the armor and add more agility.

Hydrogen is the gas utilized, and a sophisticated suit like Iron Man can easily extract it from the air by electrolysis. The water was condensed even as suit overpressurized ram air into form water, as well as the hydrogen gas is formed and sent right to the rocket boots.

The nuclear core which Tony Stark creates and implants in his heart to save his life also fuels all of his armor.In essence, it is a very energy-dense battery.

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