You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 35. 0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3. 00 rad/s2 about an axis perpendicular to the flywheel at its center.

Orbital velocity of satellite

[tex]v = \sqrt{ \frac{gm}{r} } [/tex]

Radius of new orbit r' =6r

Thus new orbital velocity of satellite:

[tex]v = \sqrt{ \frac{gm}{6r} } = \frac{v}{ \sqrt{6} } [/tex]

For satellites in circular orbits, the relationship between orbital velocity and altitude is strict. The task of a satellite launch rocket is to release the satellite at a suitable place in space, with the appropriate speed and direction of movement to put it in the desired orbit.

How a satellite stays in orbit can be thought of in two equivalent ways, both of which explain the relationship between the satellite's altitude and velocity.

The motion of the satellite can be seen as creating a centrifugal force that opposes the gravitational pull. For example, imagine attaching an object to a string and swinging it in a circle. The object is pulling outward against the string, and that outward force (centrifugal force) becomes greater the faster the object swings. At the right speed, the centrifugal force of the satellite due to motion around the earth just balances the gravitational pull, and the satellite remains in orbit.

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Its temperature right now is ten billionths (1010) of what it was at one second ago.

After the Big Bang, the universe expands and cools, reaching a temperature of around T=1013 K 0.0001 seconds later. Antiprotons destroy protons, leaving only matter behind, but with a huge amount of photons for each neutron and proton that survive. Until one second after the Big Bang, the universe expands and cools, reaching a temperature of 1010 K.

According to the study, the average temperature of gas in the cosmos has increased more than 10 times during that time and is currently around 2 million Kelvin, or 4 million Fahrenheit. An updated study has revealed that the universe is heating up.

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The length of the beam should be 93 meters if it swings back and forth with a duration of 5 second.

Beam physics has an impact on many fields of physics, engineering, and the sciences. Generally speaking, beams are collections of particles whose motion is a weakly nonlinear disturbance of a chosen reference particle and which can be addressed collectively as a result of their beginning conditions. A pendulum is a weight that is suspended from a pivot so that it can freely swing. If a pendulum is sideways shifted from its resting, equilibrium position, gravity's restoring force will lead it to accelerate back toward that point.

Time period for a pendulum in the shape of rod is,

[tex]T=2\pi\sqrt\frac{2L}{3g}[/tex]

Then [tex]L=\frac{3gT^{2} }{8\pi^{2} }[/tex]

L=[tex]\frac{3\times 9.8 \times 5^{2} }{8\pi^{2} }[/tex]

L=93m

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While the electric force that propels electrons into their orbits around the nucleus is the force acting between the electrons and the nucleus. The gravitational attraction between the planets is that causes them to circle in their elliptical orbits.

The forces that exist between two or more nucleons are referred to as nuclear forces (also known as nuclear interactions). They join the nucleons—protons and neutrons collectively—into the atomic nuclei. The stability of the nucleus is brought about by the nuclear force, which is a short-range force.

The force that holds protons and neutrons in a nucleus together is known as the nuclear force. Protons and protons, neutrons and neutrons, or neutrons and neutrons can all be affected by this force. The nucleus is held together by this force.

According to Coulomb's rule, the protons' charge of +1e tends to repel one another strongly with a strong electric field. However, the nuclear force is potent enough to hold them together and go over that obstruction at close range.

The gravitational pull is substantially weaker than the electric force. As a result, the two instances of force are distinct.

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The force acting between the electrons and the nucleus, on the other hand, is the electric force that drives electrons into their orbits around the nucleus. The planets' eccentric orbits are a result of their gravitational pull to one another.

Nuclear forces are the forces that exist between two or more nucleons (also known as nuclear interactions). They combine the protons and neutrons to form the nuclei of the atoms. The nuclear force, a short-range force, is responsible for the nucleus' stability.

The nuclear force is the force that binds protons and neutrons in a nucleus. This force can have an impact on protons and protons, neutrons and neutrons, or neutrons and neutrons. This force holds the nucleus together.

Coulomb's rule states that the protons' +1e charge has a strong tendency to repel one another with a strong electric field. The nuclear force, however, is strong enough to keep them together and pass right through that impediment.

The electromagnetic force is far stronger than the gravitational attraction. The two uses of force are thus different from one another.

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It has an impact on long distance sea journey and accuracy on longitude determination.

The inventor of maritime clock is John Harrison. John Harrison was a self-educated person who work as carpenter and clockmaker. During age of sail, people determine the longitude based on astronomy but the accuracy is quiet lack because there is a lot of unpredictable factor in this methods. After he invented the maritime clock, the problem of longitude determination solved. This invention lead the navigator decide the right decision for the ships. So, the safety of long journey on the sea is highly increase those time.

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Answer:

The latent heat of fusion is the amount of energy needed to change a substance from a solid to a liquid without changing its temperature. In this case, the latent heat of fusion of aluminium is 132,000J per 2 kg of the substance.

Option c is Correct. Is a 1 solar mass red giant brighter than a 1 solar mass main sequence star because fusion reactions produce energy more quickly in the red giant.

Stars eventually move away from the main sequence as they get older and eventually turn into red giants or supergiants. As a result of hydrogen fusion occurring in a shell surrounding the red giant's core, the outer layers are expanding while the red giant's core is contracting.

The star grows, turns redder, and becomes brighter as it cools and expands. After the star first began to undergo nuclear reactions, it continued to lose mass as some mass was converted to energy and other material was lost in the winds. Therefore, even if a red giant is enormous.

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As they pull the tanker a distance 0.900 km toward the north, total work done is 1.908 ×10⁹ Joule.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Net force applied on the tugboats pull  = √{( 1.50x10^6)² + ( 1.50x10^6)²}

= 2.12 × 10⁶ N.

Hence, the work done is =  2.12 × 10⁶ N × 0.900 km

= 2.12 × 10⁶ N × 900 m

= 1.908 ×10⁹ Joule.

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After the physical change, the plastic will still retain its original properties, such as its chemical composition.

Chemical composition is the arrangement, ratio, and type of atoms in a particular molecule or compound. It is typically represented as a chemical formula, which indicates the types of atoms present in the compound and their ratios. Chemical composition is an important factor in determining the physical and chemical properties of a material, such as its solubility, boiling point, melting point, and other characteristics. The chemical composition of a material can be determined through a variety of laboratory tests, including spectroscopy, chromatography, and thermal analysis. Understanding a material’s chemical composition is critical for proper selection and use in a variety of applications.

However, its physical properties, such as its shape and volume, will be different. The plastic will now be in a solid form and its volume will be increased due to the expansion that occurs during the freezing process.

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The more stable electron arrangements will be of A 1s²2s²2p⁶3s¹ because of the lower orbits are completely filled in compare with B.

Electron configuration is the arrangement of electrons around the nucleus of an atom based on their energy level. Electrons exist in different energy levels (previously described as “shells”) and the energy levels correspond to the horizontal rows on the periodic table.

Orbitals are areas within shells where the electrons are located These orbitals may have different shapes and There may be different numbers of orbitals within a shell. We know the electron is somewhere in the orbital, but we can’t know exactly where it is or how fast it is moving

Heisenberg’s Uncertainty Principle Each orbital can hold two electrons (Pauli Exclusion Principle). Electrons are added one at a time to the lowest energy levels first (Aufbau principle).

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A has a more stable electrical arrangement than B because all lower energy levels are filled before higher ones, which is  1s²2s²2p⁶3s¹.

The distribution of electrons at various energy levels is shown by an atom's electron configuration. The number of electrons in an atom is represented in the electron configuration as a superscript of atomic subshells.

The maximum number of electrons that may fill an electron shell is calculated using the primary quantum number. The number of electrons that can fit in a given shell as a whole is given by the formula 2n2.

Before filling an orbital with a higher energy level, the electrons in the atomic orbitals of a lower energy level must be entirely filled.

Therefore, the electronic configuration 1s²2s²2p⁶3s¹ of atom A is more stable than 1s²2s²2p⁶5s¹ of atom B.

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The thickness of the book is 10.40 mm thick.

The reason we learn math is to apply this to real life. We learn addition, subtraction, multiplication, division, and all other mathematical operation with the aim that we can use that in real-life problems. Given problem is one of the examples where we will use math in a real-life situation.

200 pages means that there are 100 papers.

1 paper = 0.1mm

So, 100 papers = 0.1* 100 = 10mm

There are two covers of 0.2mm each, therefore

Total thickness = 10 + 2*0.2

= 10 + 0.4

= 10.4 mm

Hence, thickness of the book is 10.40 mm thick.

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The thickness of the book is 10.40 mm thick.

Learning math is done so that you can use it in real-world situations. It is our intention to be able to use addition, subtraction, multiplication, division, and all other mathematical operations to solve problems that come up in daily life. The given problem is one of the situations where math will be used in a practical setting.

200 pages means that there are 100 papers.

1 paper = 0.1mm

So, 100 papers = 0.1* 100 = 10mm

There are two covers of 0.2mm each, therefore

Total thickness = 10 + 2*0.2

= 10 + 0.4

= 10.4 mm

Hence, thickness of the book is 10.40 mm thick.

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Any object above absolute zero gives off electromagnetic radiation, which can be detected by a thermal imaging camera.

Electromagnetic radiation is made up of electromagnetic field waves that travel through space carrying momentum and electromagnetic radiant energy. Radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays are all examples of electromagnetic waves. These waves are all part of the electromagnetic spectrum.

Electromagnetic radiation is traditionally composed of electromagnetic waves, which are synchronized oscillations of electric and magnetic fields that can be detected by a thermal imaging camera.

Therefore, electromagnetic radiation that any object above absolute zero gives off can be detected by a thermal imaging camera.

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Ball is held 1.4 meters above the floor. If the ball is dropped, its gravitational potential energy decreases as it falls and its kinetic energy increases as it falls

The law of conservation of mechanical energy states that:

PE + KE = constant

Where:

PE = gravitational potential energy

KE = kinetic energy

The gravitational potential energy is given by:

PE = m gh

Where:

m = mass

g = acceleration due to gravity

h = height

Hence, the higher its position form the reference surface, the higher its potential energy.

When an object experiences a free-fall, the highest potential energy occurs at the highest position.

In the given problem, at the point when the ball was dropped, its potential energy is maximum, while its kinetic energy is zero.

As it falls, it is accelerated and it velocity increases, hence its kinetic energy increases.

Therefore, the correct answer:

Ball is held 1.4 meters above the floor. If the ball is dropped, its gravitational potential energy decreases as it falls and its kinetic energy increases as it falls

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A 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  half‑lives of C‑14C‑14 have passed since the deposit was formed.

Carbon‑14 is a radioisotope that is used for dating biological organisms. The half‑life of C‑14C‑14 is 5730 years. When a 1 g sample of carbon from fresh peat is measured for radioactivity, 900 beta decays are recorded every hour. A 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  half‑lives of C‑14C‑14 have passed since the deposit was formed. Radioactivity is the process of decaying of the atom in the time as on years. hence by this information we can firmly conclude that if a 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  half‑lives of C‑14C‑14 have passed since the deposit was formed.

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Answer:

A.0.02 Seconds

B.5 Seconds

Explanation:

A. The period of a rotating object is, the amount of time it takes to complete one full rotation.  

Therefore,

Period = 1 / Frequency

So for an object that has a frequency of 50 Hz, its period would be:

Period = 1 / 50 Hz = 0.02 seconds

So the answer is 0.02seconds

B. To find out how much time it takes to complete 250 rotations, we  use the period of the rotation,  0.02 seconds. Since the period is the time it takes to complete one rotation, we  find the time  to complete 250 rotations by,

multiplying the period by the number of rotations:

Hence,

Time = Period x Number of Rotations

Time = 0.02 seconds x 250 = 5 seconds

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Answer:

The correct answer is D, Kinetic energy from vibration. The internal energy of a solid substance is made up of the kinetic energy of the particles that make up the solid. The particles in a solid are constantly vibrating, and the average kinetic energy of these vibrations contributes to the internal energy of the solid. Intermolecular forces, such as those between atoms or molecules in a solid, also contribute to the internal energy of a solid, but this contribution is typically smaller than the contribution from the kinetic energy of the particles. Rotation and translation, which are types of kinetic energy, are not typically significant contributors to the internal energy of a solid.

The moon is held in orbit around Earth by gravity, much as the planets are held in place in their orbits around the sun. Ocean tides are produced by the oceans being drawn toward the moon by its gravitational force attraction.

The planets are drawn into orbits around the Sun by its gravity, and certain planets also induce the orbits of moons. Even the spacecraft itself are moving about the solar system, either in orbit around the Earth or the Moon.

gravity In the first place, gravity is the force that pulls humans to the surface of the Earth, maintains the planets' orbits around the Sun, and spurs the formation of planets, stars, and galaxies.

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The approximate mass of the galactic center is 1.87 x 10^47kg when the gravitational force on the solar system is the net force due to all the matter inside our orbit.

Given the solar system's radius, (r) = 25000 light years

The velocity of light (v) = 3 x 10^8m/s

The speed of solar system (u) = 230km/s

We can determine the big star's mass as: GM/r = v^2

M = v^2 x r/G

M = (230 x 10^3)^2 x 25000 x 3 x 10^8 x 365 x 24 x 60 x 60/ 6.67 x 10-11

M = 1.87 x 10^41kg

Hence the approximate mass of the galactic center = 1.87 x 10^41kg

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complete question: The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 x 10^8 m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center?

Yes, the index of refraction for air is approximately 1.0003, which is very close to 1.

Light propagation is an important physical phenomenon that has long been studied and explored by scientists and engineers alike. A key factor in the propagation of light is the index of refraction for air, which is a measure of how light bends as it passes through different media. By understanding the index of refraction for air, we can gain insight into how light behaves and how it can be manipulated for various applications.

The index of refraction for air (or n) is a measure of the speed of light in a particular medium. It is expressed as a ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v). The index of refraction for air is typically expressed as a dimensionless number, which is usually around 1.00029. This number can vary slightly depending on the characteristics of the air and the temperature.

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The fastest velocity of the ball is approximately 5.95 m/s.

To solve this problem, we can use the conservation of mechanical energy. When the pendulum is released, the total mechanical energy is given by the potential energy at the starting point plus the kinetic energy at that point:

E = PE + KE

The potential energy of the pendulum at the starting point is given by its mass, the acceleration due to gravity, and its height above the starting point:

PE = mgh

The kinetic energy of the pendulum at the starting point is given by its mass, the velocity squared:

KE = 1/2 mv²

At the starting point, the velocity is 0, so the kinetic energy is also 0. Therefore, the total mechanical energy at the starting point is equal to the potential energy:

E = mgh

As the pendulum swings, the potential energy decreases and the kinetic energy increases. However, the total mechanical energy remains constant. When the pendulum reaches its lowest point, the velocity is at its maximum and the potential energy is at its minimum. Therefore, at the lowest point, the total mechanical energy is equal to the kinetic energy:

E = KE

Substituting the expressions for potential energy and kinetic energy, we get:

mgh = 1/2 mv²

Solving for v, we get:

v = sqrt(2gh)

Substituting the given values, we get:

v = sqrt(2 * 9.8 m/s² * 1.8 m)

= sqrt(35.28 m²/s²)

= 5.95 m/s

So the fastest velocity of the ball is approximately 5.95 m/s.

The torque about the center of mass of the beam is calculated as -400 Nm.

A measure of the force that can cause an object to rotate about an axis is known as torque. Just as force causes an object to accelerate in linear kinematics, torque causes an object to acquire an angular acceleration.

Given ; Force = 200 N; Length = 2.00 m and Mass = 3.00 kg

As we know that angular acceleration, α= τ/I rad/s²

The formula for moment of inertia is ;

I = ML²/12

Torque, τ =  F * r

= ( 200 N * -1 m) + (-200 N * 1 m)

Torque = -400 Nm

Torque about the center of mass of the beam is -400 Nm.

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You would need 23.3 lifts and 116.5 pull-ups to burn enough calories to consume the energy absorbed from eating a 300-calorie ice cream cone.

A)Number of lifts = 300 cal / 12.9 cal/lift = 23.3 lifts

B)Number of lifts = 1500 cal / 12.9 cal/lift = 116.5 lifts

A) To calculate the number of times you would have to lift the barbell to burn enough calories to use up the energy absorbed by eating a 300-food-calorie (300 kcal) dish of ice cream, you need to know the amount of energy used in lifting the barbell and the amount of energy used in burning calories.

First, you need to calculate the work done by lifting the barbell. Work is equal to force x distance, and force is equal to mass x acceleration (F = ma). In this case, the mass of the barbell is 5.5 kg and the acceleration is 9.8 m/s^2 (the acceleration due to gravity). So, the work done in lifting the barbell is:

Work = (5.5 kg)(9.8 m/s^2)(1 m) = 53.9 J

Next, you need to calculate the number of calories burned by lifting the barbell. One calorie is equal to 4.186 J, so the number of calories burned is:

Calories burned = (53.9 J) / (4.186 J/cal) = 12.9 cal

Finally, you need to calculate the number of times you would have to lift the barbell to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream. To do this, you need to divide the total number of calories absorbed from the ice cream (300 cal) by the number of calories burned per lift (12.9 cal):

Number of lifts = 300 cal / 12.9 cal/lift = 23.3 lifts

B) The body's efficiency at converting chemical energy into mechanical energy is 20%. So, you need to lift the barbell more times than the previous calculation. To calculate this, you need to divide the total number of calories absorbed from the ice cream (300 cal) by the body's efficiency (20%):

Total calories = 300 cal / 20% = 1500 cal

Then divide the total number of calories by the number of calories burned per lift (12.9 cal)

Number of lifts = 1500 cal / 12.9 cal/lift = 116.5 lifts

Please note that this is an estimate and that actual energy expenditure will depend on individual factors such as muscle mass and overall fitness level.

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Anxiety and stress are interconnected. Anxiety is often your stress or worries. Your body reacts to threats with stress.

Stress and anxiety can be beneficial in the short term but harmful in the long term for similar reasons. They trigger clear nervous system responses that help humans fight or flee in real danger. Stress is a body-wide response to demand. Change that strains the body, mind, or spirit is stress.

Fear and anxiety arise when the demands seem too great. Anxiety is similar to fear. Fear is the alarm response to real and imminent danger. Anxiety is based on future negative events.

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D). The rate of the reaction is increased by 32.9 times if an enzyme lowers the Ea by 9.0 kJ/mol at 37°C

B. The activation energy (Ea) is the energy required for a chemical reaction to occur. Lowering the Ea means that the reaction can occur at a lower energy, making it more likely to happen.

The rate of a reaction is related to the Ea through the Arrhenius equation, which states that the rate constant (k) of a reaction is related to the Ea by the equation:

k = A * e^(-Ea/RT)

where A is the pre-exponential factor and R is the gas constant.

At 37°C, the temperature is 310.15 K. So if an enzyme lowers the Ea by 9.0 kJ/mol, the rate of the reaction will increase by a factor of e^(9000/(8.314*310.15))=32.9.

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Studies from Type 1 supernovae at very large red shifts led to the discovery of "dark energy.

When type I supernova occur, the start is detonate and cause the increase of the white dwarf's mass. When the white dwarf's mass reaches a density of more than 2 x 10⁹ g/cm³, The star core is collapse, that causes a fusion process between carbon and oxygen. This condition is the main factor to the detonation of the stars.  During this detonation the star is completely destroyed that produce dark energy. Dark energy is a hypothetical form of energy that exerts a repulsive pressure, negative and its activity like the opposite of gravity.

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Rounding to the nearest percent, the quantities of a and b inside this relative table format for the survey findings are: 38% for a and 3% for b.

The quantity of occurrences of a recurring event per unit of time is its frequency. For clarity, it is sometimes referred to those as precision and differentiates from angular frequency. One occurrence per second, or hertz (Hz), is the unit of frequency.

Given that even a residential area surveyed residents to determine whether they preferred cable or satellite for their TV feed.

Considering the Venn diagram's findings, which reveal that 55 individuals want satellite service, 75 want cable service, 12 want those satellite and cable service, and 4 don't want either, we can see that the number of individuals who want either service is 55.

Thus, 146 persons in all were surveyed.

Remember that relative frequency is the proportion of an event's result to all other possible scenarios (sometimes expressed as a percentage).

According to the table, a represents the proportion of individuals who choose satellite over cable.

Therefore, a = 55/146 Or 0.38 = 38%

According to the table, b is indeed the proportion of persons who choose neither satellite television nor cable.

Therefore, b = 4/146 ≈ 0.03 = 3%

So, rounding to the nearest percent, the value a and b in the relation statistic for the survey findings are: a = 38%, b = 3%.

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The complete question is-

What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.

a = 82%, b = 3% a = 38%, b = 50% a = 38%, b = 3% a = 93%, b = 19%

velocity = square root of (2 x Kinetic Energy / Mass)

velocity = √(2KE/m)

velocity = √(2*2800/75)

velocity = 24.29 m/s

Answer:

its 812.5

Explanation:

the formula of kinetic energy is 1/2 mv^2

Answer:

given

v=5m/s

m=65

kinetic energy=1/2mv²

=1÷2×65×5²

=81.5

The net force acting on the table is 80 N to the right.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

It has a direction and a magnitude

Ahmed applies a force of 100N to the right on a table.

Salem applies a force of 20N to the left on the same table,

Hence, the net force acting on the table is = (100 N -20N)  to the right.

= 80 N to the right.

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The angular velocity of gear B when t=2s is 12rad/s when a motor gives gear a an angular acceleration of αa=(4t3)rad/s^2.

Given the  angular acceleration of a gear αa = (4t3)rad/s^2

The initial angular velocity (ωa)o = 20rad/s

We know that rate of change in angular velocity results in angular acceleration such that dw/dt = α

considering the limit values from 20 to ωa we integrate as:

∫dωa = ∫αadt = ∫4t^3dt

Then we get ωa = t^4 + 20

At time t = 2s we have the angular velocity as:

ωa = 2^4 + 20 = 36rad/s

So the angular velocity at point A is equal to angular velocity at point B.

ωara = ωbrb where ra is the radius of gear A and rb is the radius of gear B.

Given rb = 0.15m and ra = 0.05m

36 x 0.05 = ωb x 0.15

ωb = 12rad/s

Hence the angular velocity of gear B = 12rad/s

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