When a rubber rod is rubbed with wool, the rod becomes negatively charged. What can you conclude about the magnitude of the wool's charge after the rubbing process

Answers

Answer 1

The wool must start out negatively charged before becoming positively charged after donating its electrons to the rubber rod.

What happens when wool is rubbed on a rubber rod?

A rubber rod becomes negatively charged when wool is brushed against it, and the magnitude of the charge on the wool is equal to the charge on the rod. By applying the same amount of negative charge to the rod, the wool becomes positively charged.

Why does a polythene rod become negatively charged when it is brushed against wool?

Electrons generate energy while rubbing a polythene rod with a duster because of the friction. When they have enough energy, electrons can escape from an atom and "rub off" onto a polythene rod.

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Related Questions

What is the position of the particle at time t 0?

Answers

The position of the particle is zero because the velocity is zero for the particle. The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point and the position of the particle is zero because the velocity is zero for the particle.

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A 663 g ball strikes a wall at 12.2 m/s and rebounds at 10.4 m/s. The ball is in contact with the wall for 0.046 s. What is the magnitude of the average force acting on the ball during the collision

Answers

The Force acting on the ball during collision is 25.9 N.

To calculate the magnitude of the average force, we use the formula below.

F = m(v-u)/t..........Equation 1

Where:

F = Average force acting on the ball

m = mass of the ball

v = Final velocity

u = Initial velocity

t = time.

From the question,

Given:

m = 663  g = 0.663 kgv = 12.2  m/su = 10.4 m/st = 0.046  s

Substitute these given values into equation 1

F =  0.663 (12.2  -10.4 )/0.046

F = 25.9 N

Hence, The Force acting on the ball during collision is 25.9 N

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The net electric force acting on each of the three objects below is sketched as a green arrow. For example, if the green arrow points to the left the object feels a net electric force pushing it to the left. If there is no green arrow, the object feels no net electric force. Use this information to assign an electric charge to each object. That is, decide whether each object has a positive electric charge, a negative electric charge, or is neutral.

Answers

Electric force is the attraction or repelling force that exists between any two charged objects. Newton's laws of motion, which apply to all forces, describe how a force acts and what it does to the target body.

Electric force is produced by what?

Mutual interactions between two charges produce electrical forces. When there are three or more charges present, the cumulative effects of each charge's interactions with the other charges produce the electric force acting on a single charge.

Electric force: how powerful is it?

2.40 x 1043 times more powerful than the gravitational force is the electric force between these electrons. Or, to put it another way, gravity is only about a trillion trillion trillion trillion times as strong as electricity.

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Item 3 A 5kg object is released from rest near the surface of a planet such that its gravitational field is considered to be constant. The mass of the planet is unknown. After 2s, the object has fallen 30m. Air resistance is considered to be negligible. What is the gravitational force exerted on the 5kg object near the pl

Answers

So because acceleration of freely falling objects is constant, if a 5 kilogram object starts free falling at rest, its acceleration at 3 seconds is g=9.8 m/s2 or 32.2 ft/s2.

What happens to an object's weight as it travels through space away from a planet?

As the gravitational pull of an object changes as it is moved further away from Earth or placed on another planet, so does the object's weight. Regardless of whether an object is on Planet, in deep space, or on the Moon, its mass will always be the same.

How can gravitational potential energy be used to determine weight?

For  the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

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I made an imaginary planet for my dnd campaign and I would like to know how to find the orbital ditance and the ditance from the un uing the information I have gathered o far. Day Duration: 36 hour
Orbit Duration: 1. 6 Earth year
Year Duration: 389. 3. Day
Gravity: 9. 608 m/²
Axial Preceion: 15,000 year
Axial Tilt: 21. 7 to 23. 5
Axial Ocillate: 8333. 3. Year per 0. 1 ocillate of 1. 8 ocillation
Number of moon: 3
CLimate region: much imilar to earth Temperate region are
the magority of the planet with tropical at the equator and
ubtropical at the pole with eaon changing at the prevernal,
vernal, etival, erotinal, autumnal, and hibernal period
Radiu: 4578. 2 (m)
Planet Ma: 3017387649322753000
Circumference: 28765. 6789733

Answers

The appropriate calculation is required for knowing how to find the orbital distance and the distance from the using the information.

For approximately circular orbits the orbital radius is the distance from an object in space to the body which it is orbiting. When an object orbits a body in space it rotates around that body drawing out a circle or an ellipse depending on its orbit. Earth's orbit is the path in which the Earth travels around the Sun. Earth lies at an average distance of 149.59787 million kilometers (93 million miles) from the Sun and a complete orbit occurs every 365.256 days.

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A 2,000-kg elevator is being accelerated upward at a rate of 3.0 m/s2. What is the tension in the cable

Answers

According to the above statement, 15800 N of tension is required to draw a cable at 3.0 m/s² of acceleration.

What are potential and tension?

A force known as tension is connected here to tugging of an item like the a rope, cord, or chain. It resembles elastic potential energy a lot. When a thing is pulled out and brought under tension, as soon as that force is removed, it will naturally recover to its relaxed length.

F = ma

  = 2000 kg × 3.0 m/s²

  = 6000 N.

The body's weight and the load are added to create the tension force.

Thus T = w + ma

T = 9800 N + 6000 N

  = 15800 N.

As a result, 15800 N of tension is required to draw a wire at 3.0 m/s² of acceleration.

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The complete question is-

A 2000 kg elevator is accelerated upward at a rate of 3.0 m/s2. What is the tension in the cable pulling the elevator upward when it experiences this acceleration?

The connected bar BC is used to increase the lever arm of the crescent wrench as shown. If a clockwise moment of MA = 120 N·m is needed to tighten the nut at A and the extension d = 300 mm, determine the required force F in order to develop this moment. 15° F 30 300 mm А Probs. 427/28/29

Answers

The value of d is 401.550.

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

"The motion of an item equal to the product of its mass and its velocity" is referred to as momentum. When we say anything has momentum, we are referring to its precise mass and direction of motion.

C+ΣMA = ( 200 cos 45) (d cos 30+0-3) -

(200 sin 45°) (d sin 30°)= -120

(200COS 45°) (0.3) + (200 cos 45°) (d cos30) +

(200sin 45') (d sin 30") = 120

d = 120- (200 cos 45) (0.3) / 200 (cos 45 Cos 30+ sin 45 sin 30)

d = 0.40155m

d = 401.55mm

d = 401.550

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Complete Question -

The question states "The amplitude of a body undergoing simple harmonic motion is doubled. Which of the following is also doubled?
a) maximum speed
b) frequency
c) total energy
d) period

Answers

When the amplitude of a body undergoing simple harmonic motion is doubled then the maximum speed is doubled.

Equation of shm is

x(t) = Xo + Acos(wt + f)

Differentiate it with t

v(t) = wA * sin(wt + f)

Then max speed Vmax is wA

So by above relation if we double the amplitude then velocity will be doubled.

If the force acting on the oscillating body is always in the direction opposite to the displacement of the body from the equilibrium or the mean position and its magnitude is proportional to the magnitude of displacement, the body is said to be executing SHM.

If the displacement vs. time curve of the oscillating body is sinusoidal in nature, the body is said to be executing SHM. This is another definition of SHM.

If the potential energy of the oscillating body is proportional to the square of its displacement with reference to the mean position, the body is said to be executing SHM. This is yet another definition of SHM.

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How does a simmering pot of spaghetti sauce illustrate convection currents

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Answer:

1: As the substance’s thermal energy increases, the kinetic energy of its particles increases, and vice versa.

2: Its molecules move around more quickly, so there is more space between them, making it less dense than the air above it.

3: Warmer sauce at the bottom of the pot is less dense, so it rises, forcing cooler sauce down, where it is warmed.

4: Hot soup warms the bowl where it sits.

5: transfer of thermal energy through infrared waves

Explanation:

This is correct for the Thermal Energy Transfer Quick Check

A simmering pot of spaghetti sauce provides an excellent illustration of convection currents because the process of heating the sauce causes hot molecules to rise and cool molecules to sink. This creates a circular motion known as a convection current.

When the pot is placed on a hot stove, the heat from the burner is transferred to the bottom of the pot, which in turn heats the sauce. As the sauce heats up, the molecules nearest to the heat source become hotter and lighter. These hot, lighter molecules rise to the top of the pot, creating a convection current. As they reach the surface, they cool down, become heavier, and then sink back down to the bottom of the pot.

This process of hot molecules rising and cool molecules sinking creates a circular motion that evenly distributes the heat throughout the sauce, ensuring that it cooks evenly. The convection currents in the pot are also responsible for the bubbles that rise to the surface of the sauce, releasing trapped steam and preventing the pot from boiling over.

In conclusion, a simmering pot of spaghetti sauce illustrates convection currents because it shows how hot molecules rise and cool molecules sink, creating a circular motion that evenly distributes heat and ensures that the sauce cooks evenly.

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By mass, the interstellar medium in our region of the Milky Way consists of
A) 70% Hydrogen, 30% Helium.
B) 70% Hydrogen, 28% Helium, 2% heavier elements.
C) 70% Hydrogen, 20% Helium, 10% heavier elements.
D) 50% Hydrogen, 50% Helium.
E) 50% Hydrogen, 30% Helium, 20% heavier elements.

Answers

The 70% Hydrogen, 28% Helium, 2% heavier elements. the interstellar medium in our region of the Milky Way consists of

What is interstellar?

Interstellar is a 2014 science fiction film directed, co-written, and co-produced by Christopher Nolan. The movie follows a team of astronauts who travel through a wormhole in search of a new home for humanity.

The cast includes Matthew McConaughey, Anne Hathaway, Jessica Chastain, and Michael Caine. The film was a major commercial success, grossing over $677 million worldwide, and was nominated for five Academy Awards. Interstellar has been praised for its realistic depiction of space exploration, its innovative visual effects, and its emotional story.

The interstellar medium in our region of the Milky Way is composed of mostly hydrogen (about 70%) and helium (about 28%), with the remaining 2% consisting of heavier elements, such as carbon, nitrogen, oxygen, and dust.

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a 6 meter ladder is against a wall. if its bottom is pull at a constant of 0.5 m/sec, how fast is the ladder top sliding when it reaches 3 metersuo the wall

Answers

Hence, the ladder top to touch ground the ladder base should pull back a distance of ( 6 - 3 ) = 3 meters on ground As the rate of sliding of base of ladder is 0.5 meter per second , it takes a time of [  3/ (0.5) ] = 6 seconds.

What is a simple definition of distance?

What is Distance? Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

How is a distance measured?

Distance measures length. For example, the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

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What is the relationship between mass and kinetic energy evidence?

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The equation for Kinetic Energy is: KE = 1/2 mv2. Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object.

In physics, an object's kinetic energy is the energy it has as a result of its motion.  It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity.

The body retains its kinetic energy after gaining it during acceleration until its speed changes. The body does the same amount of work while slowing down from its current pace to rest. Formally, kinetic energy is any term in a system's Lagrangian that contains a time derivative.

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How much work is done by the environment in the process shown in the figure? Express your answer with the appropriate units
IA Wasxt = Value Units Submit Previous Answers Request Answer incorrect; Try Again; 19 attempts remaining Part B Is energy transferred from the environment to the system or from the system to the environment? O Energy is transferred from the environment to the system. O Energy is transferred from the system to the environment. Submit

Answers

Wasxt is not good. As a result, the system transfers energy to the environment.

How is work completed?

Force may be used to transmit energy. The quantity of energy a force expended to move an item is referred to as the work done. The relationship between Work and Energy is so straightforward.

The work done by a force is calculated as the product of the object's displacement and its component of the applied force in the displacement direction.

Using energy efficiency

Ki + Ui + Wext = Kf + Uf + dEth

Substitute the value by data chart in above equation we get,

4 + 1 + Wasxt = 1 + 2 + 1

Wasxt = 4 - 5

Wasxt = -1 J

Since Wasxt is negative So energy is transferred from the system to the environment.

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Does a heavier object go down a ramp faster?

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A heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form and the rolling tangential force acting on it in a smaller manner..

Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. hence, by this information we can firmly consider that a heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form.

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How do you find the acceleration of a marble down a ramp?

Answers

The marble accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the marble starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the marble is acting in the smaller form.

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Which type of engine takes in air, accelerates it, and pushes it out the exhaust nozzle to produce thrust that pushes the aircraft forward

Answers

A jets engine is a device that produces a strong pushing force known as thrust out of liquid fuel that is high in energy.

What do aircraft turbine engines do?

A rotary engine called a gas turbine converts the flow of combustion into energy.Axial or centrifugal compressors (or both) can be used to boost air pressure and temperature before it enters the combustion chamber. Ambient air is pulled into the engine intake.

How is thrust produced by a jet engine?

By raising internal engine pressure, jet or rocket engines generate thrust.This higher pressure inside the jet and rocket engine causes the forward force to be greater than the backward force.

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What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.70

Answers

The coefficient of magnetic field was found to be Bmax, k = 1.53x10¹¹, 1.14x10⁴,3.43x10¹² T,1/m,rad/s.

Define magnetic field ?

Moving charges, wave action, and magnetic materials all experience the magnetic influence of a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetization is applied to it when it moves through a magnetic field. A permanent magnet's magnetic field draws on ferromagnetic materials like iron and repels or attracts other magnets. The three additional magnetic effects of diamagnetism, electromagnetism, and biomagnetism also cause tiny forces to be exerted on "nonmagnetic" materials by a nonuniform magnetic field, although these forces are frequently so minute , they can only be detected using laboratory apparatus. Electric currents used in electromagnets and time-varying electric fields produce magnetic fields that surround magnetized objects.

Magnetic field maximum = 1.531011,

The wave number is 1.14104.

In teslas, the angular frequency is 3.431012 T.

meters-1 in reverse,

rad/s = radians per second

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Rank the following reservoirs by the amount of time that water tends to reside in them.
Longest Shortest
Oceans glaciers lakes
the atmosphere rivers

Answers

In Glaciers water has a tendency to stay greater than the longest time and within the ecosystem, the water turns to stay for the shortest time.Because in glaciers water's estimated residence time is approx 3000 years and in Lakes water is stored for approx 100 years.Water residence time in the river is approx for weeks to months.water residence time in the atmosphere is approx 7 - 9 days only.

In Glaciers water tends to live extra than the longest time and, within the ecosystem, the water turns to live for the shortest time. due to the fact in glaciers water anticipated residence time is approx. 3000 years and in Lake’s water be saved approx. a hundred years. Water house time in the river is approx. for weeks to months and water residence, time in the surroundings is approx. for 7 - 9 days at best.

Glaciers are big, gradual-shifting masses of ice that collect over thousands of years from the compaction of snow. Glaciers are discovered in lots of mountainous and polar areas around the sector, and they're the largest freshwater reserves around the globe. Glaciers act as a herbal garage of water, allowing it to be launched slowly over the years.

As temperatures increase, glaciers are melting at an alarming fee. This melting causes the discharge of large amounts of water, which can weigh down ecosystems and result in flooding, as well as boost sea tiers. The water from melting glaciers also impacts the ocean’s salinity and chemistry, main to changes in the entire marine atmosphere. As glaciers hold to soften at an accelerated price, the availability and exceptional of our water sources will be affected.

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Complete Question:

Rank the following reservoirs by the amount of time that water tends to reside in them. (from longest to shortest)

A). Oceans

B). Rivers

C). Lakes

D). Glaciers

E). Atmosphere

the welding process that uses flux-cored wire without the use of an external shielding gas is called

Answers

Self Shielding FCAW is the use of an outside shielding gas.

What is FCAW with self-shielding?

Many advantages come with self-shielded circulation arc welding (FCAW-S), such as good weldability, metal deposition rates, and exceptional chemical and mechanical qualities.

Self-shielding wire: what is it?

With self-shielding wires, there is no need for a gas cylinder because they don't need an inert gas when the arc is operating.As a result, it's a fantastic option for offshore applications or situations where mobility is crucial.

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Please help
How does sound move from the source to the receiver? (a slinky moving back and forth)

Answers

Answer:

through a chain reaction of particle collisions in a medium.

Explanation:

A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2

Answers

The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.

How is the net force needed to accelerate calculated?

Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.

You know that force(F) & acceleration(a) are connected through mass(m),

F=ma

Here you have:

10 = 5 m

so, m = 10/5 = 2 Kg

Then if you have a = 8 m/s^2

you get:

F=2×8=16 N

Force = 16N

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If you throw a ball up in the air at a speed of 14.9 m/s, how fast (in m/s) will it be moving when you catch it

Answers

When you catch a ball you threw in the skies at the a speed exceeding 14.9 m/s, it will also travel at the same speed when you catch it.

How fast is it?

Time is a scalar that indicates the direction and speed of an object's motion. Usually, it is expressed in terms of measures of speed per amount of time, including m / sec (m/s) or miles each hour (mph) (mph). Speed is the size of velocity, a vector number that indicates both the direction and the speed of motion. Pace is a positive number with a unit of distance traveled per second.

When something is launched into air, it is exposed to the downward-moving force of gravity. The item accelerates downward at a velocity of 9.8 m/s2 as a result of this force

The object will slow down so that it rises and accelerate up as it lowers due to this acceleration. However, if there is very little time between the ball's release and the catch, the ball won't have a chance to slow down much. As a result, the pace at which i catch the ball will be quite similar to the pace at which originally threw it.

The ball will therefore continue to move at the same pace that it did when thrown.

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What is the formula of law of lever?

Answers

"Effort multiplied by an arm equals burden multiplied by an arm," The various loads on the proportionally shorter load arm can be moved by the effort arm.

What does a class lever mean?

A lever is a straightforward device with a solid beam and a fulcrum. The effort (input force) and load (output force) are applied to the beam's ends. The pivot of the beam is thought to be the fulcrum.

What do you name a lever?

Levers are devices that increase force, to put it simply. Because they merely have the handle and the fulcrum, we refer to them as "basic machines." The "arm" of the lever is the handle or bar; it is the portion that you push against or pull towards.

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Item 2 Sea stars, sea urchins, sand dollars, and brittle stars are all members of the same group. What is the common name of the group to which they all belong

Answers

Sea stars, brittle stars, as well as feather stars are a few examples of echinoderms. Despite their apparent differences, echinoderms share two key identifying traits that make them all identifiable.

What is the reputation of echinoderms?

Echinoderms are effective scavengers of decomposing material on the seafloor and feed on a range of microscopic organisms, which helps control their population. Sea urchins can destroy tropical sea-grass beds when they are present in great numbers, harming the creatures that live there astrophysics

Why do they go by the name echinoderms?

Because of their spiny skin, Echinodermata are so termed (from the Greek "echinos" for "spiny" and "dermo's" for "skin"). There are around 7,000 described extant species in this phylum. Only marine species can be classified as Echinodermata.

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A 1.41-kg block slides across a rough surface such that it slows down with an acceleration of 1.10 m/s2. What is the coefficient of kinetic friction between the block and the surface

Answers

The coefficient of kinetic friction between the block and the surface is 0.11.

The coefficient of kinetic friction can be found using the equation:

friction = force of friction = coefficient of kinetic friction * normal force

The normal force is equal to the weight of the object, which can be calculated as weight = mass * acceleration due to gravity

The force of friction can be calculated using the equation:

friction = force of friction = coefficient of kinetic friction * weight

The coefficient of kinetic friction can be found by rearranging the equation and substituting the known values:

coefficient of kinetic friction = friction / weight

= (1.10 m/s2) / (1.41 kg * 9.8 m/s2)

= 0.11

So, the coefficient of kinetic friction between the block and the surface is 0.11.

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What magnitude of force, in newtons, must an 82.5-kg grouper exert to stay submerged in salt water (with density 1025 kg/m3) if its body density is 1015 kg/m3

Answers

The magnitude of force, must an 82.5-kg grouper exert to stay submerged in salt water is 8.12 N.

To find the magnitude of force that the grouper must exert to stay submerged, we can use the buoyancy force equation, which states that the buoyancy force is equal. The buoyancy force is equal to the weight of the fluid displaced, which is the density of the fluid multiplied by the volume of the fluid displaced and the gravitational acceleration. The volume of the fluid displaced is equal to the volume of the object and can be found using the equation of volume of an object. The weight of the object can be found by multiplying the mass of the object and the gravitational acceleration.

The net force on the object is the difference between the buoyancy force and the weight of the object.

= Fb

= V * (density of fluid - density of object) * g

= Fb

= (82.5 kg / (1015 kg/m3) ) * (1025 kg/m3 - 1015 kg/m3) * 9.8 m/s^2

= Fb

= 8.12 N

The magnitude of force that the grouper must exert to stay submerged is 8.12 N

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The primary evidence that our Sun is a third-, fourth-, or fifth-generation star comes from the fact that our ________.

Answers

The fact that our Solar System has too many heavy elements to be first-generation provides the strongest support for the hypothesis that our Sun is a third, fourth, or fifth-generation star.

In astronomy, a star is a brilliant plasma spheroid that is kept together by gravity. The Sun is the planet's closest star. The human eye can see a great number of other stars at night, but due to our planet's size, they seem like stationary points of light. Numerous of the brightest stars were given names, and the most notable stars have been grouped into constellations and asterisms. The known stars have been identified and given standard designations in star catalogs that astronomers have put together. On average, there are 1022–1024 stars in the observable universe. In the Milky Way galaxy, there are just 4,000 of these stars that can be seen with the unaided eye.

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25. What force must be exerted on the pedal cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the wheel cylinder

Answers

A hydraulic lift's master cylinder must be subjected to a force of 136N.

What is the tenet of the Archimedes Principle?

According to Archimedes' principle, an object that is totally or partially submerged in a fluid will feel upward buoyant force that is equivalent in strength toward the point of gravity here on displaced fluid.

Where is the principle of Archimedes used?

The design principle for vessels and submarines uses Archimedes' principle. The Archimedes principle is the foundation of hydrometers.

According to Archimedes' principle:

F1 / A1 = F2 / A2

F2 = (A2 / A1) * F1

Also, the formula for the force is F = mg.

The formula for the area of the cylinder is A = , therefore we get

F2 = ( π [tex](r2)^{2}[/tex] / π [tex](r1)^{2}[/tex] ) * mg

Since the cylinders' diameter is 2 cm and 24 cm, r1 = 12 and r2 = 1.

Substituting the values to the derived equation, we get

F2 = ( π [tex](1)^{2}[/tex] / π [tex](12)^{2}[/tex] ) * 2000 * 9.8

2 = 136 N

Thus, the force exerted must be 136N.

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If there exists a d such that ad = 0, d > 0, and cd > 0, then is the optimal objective value unbounded?

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With an unbounded optimal solution, the feasible region essentially reaches infinity and even the optimal solution is not constrained by the constraints. Resolution.

This seems to be quite uncommon in real life. One or even more constraints may miss; verify the phrasing of the constraints.

The feasible zone effectively extends into infinity as well as the optimal solution is unbound, meaning the restrictions do not place any upper bounds on it. This is incredibly uncommon in real life. If there are any lacking constraints, kindly verify the formulation of both constraints.

Unbounded functions are those that are neither above nor below bounded by such a finite limit. For instance, because it ranges from to, x is an unbounded function. The unbounded function tax would be defined for any real x with the exception of x(2n+1)2.

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What is the formula of 3 law of motion?

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The three laws of motion, as described by Sir Isaac Newton, are as follows:

Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it. This is known as the law of inertia.

The force acting on an object is equal to the mass of that object multiplied by its acceleration. This is known as Newton's second law of motion, and is often represented by the equation F = ma.

For every action, there is an equal and opposite reaction. This is known as Newton's third law of motion.

Newton's laws of motion are fundamental principles that describe the physical behavior of objects in motion. The first law, the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by a net external force. The second law of motion, states that the acceleration of an object is directly proportional to the net force acting on the object, and inversely proportional to its mass. The third law states that for every action there is an equal and opposite reaction.

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