25 POINTS PLS ANSWER
which phrase describes a scientific law
A. a statement that can be used to predict the motions of two objects only under special conditions
B. An explanation of why the force of gravity exists between two objects
C. A claim about the pull between objects that cannot be verified through experimentation
D. An equation that can be used to accurately calculate the pull of gravity between two objects

Answers

Answer 1

Answer:

A

Explanation:

a statement that can be used to predict the motions of two objects only under special conditions


Related Questions

a student conducts an experiment to test the relationship between the net torque exerted on an object and the change in angular momentum of the object. a variable net torque is exerted on the object to make it rotate about its internal axis. data from the experiment are used to construct a graph of the net torque exerted on the object as a function of time, as shown in figure 1. a graph is also created of the angular momentum of the object as a function of time, as shown in figure 2. which of the following statements about the change in the object's angular momentum for a given time interval is correct? justify your selection.

Answers

The change in the object's angular momentum is equal to the area under the net torque vs. time graph for the given time interval.

The relationship between net torque and angular momentum is given by the equation:

ΔL = τΔt

where ΔL is the change in angular momentum, τ is the net torque, and Δt is the time interval over which the torque is applied.

From the net torque vs. time graph in Figure 1, we can see that the net torque applied to the object varies with time. To calculate the change in angular momentum for a given time interval, we need to find the area under the net torque vs. time graph for that interval.

Using calculus, we can express the area under the curve as an integral:

ΔL = ∫τ dt

where the integral is taken over the time interval of interest.

Alternatively, we can estimate the area using numerical methods, such as the trapezoidal rule or Simpson's rule.

The correct statement about the change in the object's angular momentum for a given time interval is that it is equal to the area under the net torque vs. time graph for that interval. This relationship is based on the equation ΔL = τΔt and can be calculated using integration or numerical methods.

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Which term is also known as a "rate of change"? * a motion b distance c reference point d speed​

Answers

Acceleration is the answer.............

what are three reasonable ways the experimenter could improve upon these measurements using the same apparatus, in order to reduce the uncertainty in the resulting period values?

Answers

Test and Collect Data, Select a Better Calibration Laboratory, Remove Bias and Characterize could be three reasonable measures

For any experiment, a need to keep in mind that the data that you collected must be tested or verified which means for the best answer one needs to get the best or clear input that is input in the case of experiments. And collect relevant data only for the output to preside.

The second way could be the workplace or laboratory need to be a calibration Laboratory so the experiments could be conducted without ant external disturbance along with the required equipment to make the work easy and faster.

last but not least one need to select unbiased and characterized types of equipment which reduce the margin of error from the output we are providing

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when is the acceleration of body is positive negative and zero?​

Answers

Answer:

【 In vector form , if angle between velocity vector and acceleration vector is less than 90° and greater than 0° then it is positive acceleration and if it is less than 180° and greater than 90° then it is negative acceleration. If there is no acceleration vector then it is called zero acceleration. 】

Read this article discussing the amount of time that people of various ages and education levels report spending on different technologies. Ask at least 12 of your adult friends and family members the same survey question. (The more people you ask, the better.) How do your survey results compare with the results in the article? What are some possible reasons your results might be different? When comparing the results, be sure to take into account the margin of error for the survey discussed in the article

Answers

The article is not found here but surveys are important because they are representative samples of a population.

What is a survey?

A survey is a useful tool based on population samples, which is used to make statistical analyses in a given investigation.

Differences in surveys are generally due to small sample sizes, which may lead to errors in the analysis of data.

In conclusion, the article is not found here but surveys are important because they are representative samples of a population.

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if you added 2500 pounds and 2 tons what would be the total weight?4,500 pounds4 1/2 tons3/4 ton6500poundsi need some help

Answers

ANSWER:

6500 pounds

STEP-BY-STEP EXPLANATION:

To know the answer, we must first know the equivalence between tons and pounds, since it is the only way they can be added.

We know that 1 ton equals 2000 pounds, therefore:

\(\begin{gathered} 2\text{ tons}\cdot\frac{2000\text{ pounds}}{1\text{ ton}}=4000\text{ pounds} \\ \text{then, } \\ 2500\text{ pounds + 4000 pounds }=\text{ 6500 pounds} \end{gathered}\)

(b) Sea level rise is widely acknowledged to be a key consequence of climate change. The Ministry for the Environment (2015) projections are for around 0.7 m to 1.9 m of sea level rise by 2050 under RCP2.6 to RCP8.5.
(i) Briefly explain the two main mechanisms involved in sea level rise, and which one will dominate under the RCP8.5 scenario.
(ii) Sea walls (also know as "hard defences") are an engineering option preferred by some coastal human communities. What are the potential impacts on neighbouring communities of sea walls?

Answers

The two main mechanisms involved in sea level rise are thermal expansion and the melting of land-based ice. Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

As the Earth's oceans absorb heat from the atmosphere, the water expands thermally, leading to an increase in sea level.

Melting of land-based ice refers to the melting of glaciers and ice sheets, such as those in Greenland and Antarctica.

Under the RCP8.5 scenario, which represents a high greenhouse gas emissions trajectory, the dominant mechanism of sea level rise is expected to be the melting of land-based ice.

The increased temperature and subsequent accelerated melting of ice sheets and glaciers would contribute significantly to rising sea levels.

Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

Some of these impacts include Increased erosion, altered wave patterns, loss of coastal access, coastal squeeze, and visual and aesthetic impact.

It is essential to consider these potential impacts on neighboring communities when evaluating the suitability and long-term effects of implementing sea walls as coastal protection measures.

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The energy required to begin nuclear fusion in a protostar comes from: A. the wind from nearby stars. B. the pressure from the interstellar medium. C. the gravitational potential energy of the protostar. D. the kinetic energy of the protostar.

Answers

The energy required to begin nuclear fusion in a protostar comes from  C. the gravitational potential energy of the protostar.

What is nuclear fusion?

Atomic nuclei join together to form a heavier nucleus during nuclear fusion, which releases a significant quantity of energy. A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles. Energy is released or absorbed depending on how much mass there is between the reactants and products.

Natural nuclear fusion occurs in stars, such as the Sun, when hydrogen nuclei combine to generate helium and release energy that powers the Sun's light and heats the Earth. Although fusion has also been utilized to create nuclear weapons, work is still being done to harness fusion energy for the production of electricity.

Therefore, option C is c orrect.

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Describe the parts of the wheel and axle

Answers

Answer:

A simple machine that may be used the most often is called the wheel and axle. The wheel and axle has two basic parts: wheel and axle.  It has two circular objects which includes a larger disc and a small cylinder both joined at the center.

Explanation:

Explanation:

A simple machine that may be used the most often is called the wheel and axle. The wheel and axle has two basic parts: wheel and axle. They can be found everywhere. It has two circular objects which includes a larger disc and a small cylinder both joined at the center.The large disc is the wheel, and the small cylinder or rod is the axle. There may be two wheels attached to the axle.

There are two basic ways a wheel and axle can work together to help move things.

1. The Force is applied to the Wheel

For example, a screwdriver is an example of a wheel and axle. The handle is the wheel where the force is applied. It turns or spins and increases the force of the shaft or axle, which helps turn the screw.

Another example of force being applied to the wheel is when a doorknob is turned. The wheel (doorknob) is turned and the locking mechanism connected to the shaft turns and the door can then be opened.

2. The Force is applied to the Axle

A Ferris wheel is an example of force being applied to the axle. When the axle turns it results in the giant wheel turning. The wheel is much larger than the axle and covers more distance and area. A ceiling fan works the same way.

Your friend tells you that last night, they saw Mars high in the sky at midnight. You conclude that
A) Mars must be in retrograde.
B) your friend must be mistaken: Mars can never be seen at midnight.
C) Mars must be at its farthest distance from the Earth.
D) Mars must be at its closest distance from the Sun.

Answers

When your friend tells you that last night, they saw Mars high in the sky at midnight, you conclude that A) Mars must be in retrograde.

When your friend tells you they saw Mars high in the sky at midnight, you may be surprised to learn that this could be a sign that Mars is in retrograde. Retrograde is a phenomenon when a planet appears to move backward in its orbit.

Although it looks like the planet is moving in the opposite direction, it is actually an optical illusion caused by the relative positions of Earth and the planet in their orbital paths.

With Mars in retrograde, it is believed that the planet's energy affects us differently and can have an impact on our lives. So, if you see Mars high in the sky at midnight, it could be a sign that it is in retrograde.

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A 3.0kg cat and a 14kg dog exert a force of gravity on each other equal to 1.12 x 10^-10 N. how far apart are they

Answers

The expression for the gravitational force between two bodies is given by:

\(F=G\frac{m_1m_2}{r^2}\)

where,

G: Cavendish's constant = 6.67*10-11Nm^2/kg^2

m1 = 3.0kg

m2 = 14kg

Solve the equation above for r:

\(\begin{gathered} r=\sqrt{\frac{Gm_1m_2}{F}} \\ r=\sqrt[]{\frac{(6.67\cdot10^{-11}\frac{Nm^2}{\operatorname{kg}^2})(3.0kg)(14kg)}{10\cdot10^{-10}N}} \\ r\approx1.67m \end{gathered}\)

Hence, the distance between the dog and the car is approximately 1.67m

Simpson drives his car with an average velocity of 12 m/s to the east. How long will it him to drive 1440m on a straight road in seconds?

Answers

Answer:

1440÷12=120

Explanation:

because u have to divide the mitre with the 12 m

What is converted into chemical energy during photosynthesis?

Answers

Answer:

Light energy

Explanation:

This happens by means of chlorophyll combining with the carbon, from carbon dioxide, and the hydrogen and oxygen, from water, to form carbohydrates

it will be light energy. and hope you have a good day

what is regular body in physics

Answers

Answer:

The definition of a regular shape is that all the sides are equal and all the inside angles are equal. An irregular shape doesn't have equal sides or equal angles.

Explanation:

Hope this helps you

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In physics, a body is another word someone can use to describe an object with mass.

within an atom particles called ____________ constantly move around the central nucleus

Answers

within an atom particles called Electrons constantly move around the central nucleus

Do orbitals revolve around the nucleus?

Electrons do not orbit a nucleus as a planet does the Sun, but instead exist as standing waves. As a result, the lowest attainable energy for an electron is equivalent to the fundamental frequency of a wave on a string. Higher energy levels are analogous to basic frequency harmonics.

In brief, the electron is kept in orbit by electrical attraction to the nucleus, and this attraction is free of charge. It may seem strange that anything may continue to move eternally without requiring a power source, yet it is real.

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You accelerate from 2m/s to 6m/s while traveling a distance of 2m; what was your acceleration?
A.4 m/s^2
B.8 m/s^2
C.12 m/s^2
D.16 m/s^2

Answers

Answer:

The acceleration is 8 m/s²

Explanation:

The given parameters are;

The initial velocity, u = 2 m/s

The final velocity, v = 6 m/s

The distance the acceleration took place, s = 2 m

The acceleration, a, can be found from the following kinematic equation;

v² = u² + 2·a·s

By substituting the values, we have;

6² = 2² + 2 × a × 2

6² - 2² = 2 × a × 2

32 = 4·a

a = 32/4 = 8 m/s²

The acceleration, a, of the given motion = 8 m/s².

What is the potential energy of a 2 kg rock sitting at the top of a 10 meter high cliff?

Answers

Answer:200J

Explanation:E=MGH

= 2*10(assuming you round earth’s gravity to 10)*10

=200

The force as a function of displacement of a moving object is represented by the graph. How much work is done when the object moves from 0 m to 2 m?

The force as a function of displacement of a moving object is represented by the graph. How much work

Answers

6  joule is work  done when the object moves from 0 m to 2 m

F=3N

d=2m

work done=Fd

work done=2×3

work done=6 joule

When moving an object over a distance, an external force must direct at least a portion of its force in the direction of the displacement. This is referred to as work done in physics. If the force acting along the path is constant, the amount of work can be calculated by multiplying the length of the path by the force's component. The work W is equal to the force f times the distance h to express this idea mathematically, or W = mgh. The work is W = mas if the force is applied at an angle to the displacement.

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Ebo throws the ball at an initial velocity of 18m/s but this time at an angle of 53 to the ground a.work at the velocity in component vector form b.why will the ball spend alonger time in the air than it did before. c. calculate the range of the ball

Answers

The initial velocity can be expressed as the vector (9.39 m/s, 15.4 m/)The ball will spend a longer time in the air than it did before because the vertical component of the initial velocity is greater than it was before. This means that the ball will reach a higher maximum height, which means that it will be in the air for a longer time before coming back down to the ground.The range of the ball is 19,11 m.

To express the initial velocity in component vector form, we need to break it down into its horizontal and vertical components. We can do this using trigonometry.

a) The horizontal component of the initial velocity is

18 m/s * cos(53°) = 9.39 m/s.

The vertical component of the initial velocity is

18 m/s * sin(53°) = 15.4 m/s.

So the initial velocity can be expressed as the vector <9.39 m/s, 15.4 m/s>.

c) To calculate the range of the ball, we can use the horizontal component of the initial velocity and the formula for the range of a projectile, which is range = (initial velocity * cos(angle)) * time. The time that the ball spends in the air can be calculated using the formula for the time of flight of a projectile, which is time = (2 * initial velocity * sin(angle)) / acceleration due to gravity. Plugging in the values given, we get:

range = (9.39 m/s * cos(53°)) * ((2 * 15.4 m/s * sin(53°)) / 9.8 m/\(s^2\))

= 5.68 m * 3.35 s

= 19.1 m.

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If the skater starts at a height of 2m on one side of the ramp and starts to move how high with he get on the the other side.

If the skater starts at a height of 2m on one side of the ramp and starts to move how high with he get

Answers

We are given that a skater starts at a height of 2 meters. If we do a balance of energy and assume that there is no friction or any other nonconservative forces we get:

\(\text{mgh}_0=mgh_f\)

Where:

\(\begin{gathered} m=\text{ mass} \\ g=\text{ acceleration of gravity} \\ h_0,h_f=\text{ initial and final height} \end{gathered}\)

We can cancel out the mass and the acceleration of gravity:

\(h_0=h_f\)

Substituting the initial height we get:

\(2m=h_f\)

Therefore, on the other side, he will get to 2 meters in height.

the government (fcc) regulates the frequencies in the electromagnetic spectrum that can be used for wireless communication

Answers

The statement "The government (FCC) regulates the frequencies in the electromagnetic spectrum that can be used for wireless communication" is true.

The government, specifically the Federal Communications Commission (FCC) in the United States, regulates the frequencies in the electromagnetic spectrum that can be used for wireless communication.

The electromagnetic spectrum encompasses a wide range of frequencies, from radio waves to microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. The FCC allocates and manages these frequencies to ensure efficient and coordinated use of the spectrum by various wireless communication devices, including cell phones, Wi-Fi routers, radios, and other wireless technologies.

By regulating the spectrum, the FCC aims to prevent interference between different wireless devices and ensure reliable and secure communication. These regulations help in maintaining order, maximizing spectrum utilization, and promoting fair access to wireless communication resources.

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Complete question :

The government (FCC) regulates the frequencies in the electromagnetic spectrum that can be used for wireless communication. T/F

a smokestack has a diameter of 1.5 m and a height of 30 m. the smokestack is to be designed for a wind speed of 60 km/hr. determine the force (n) acting on the smokestack

Answers

The force formula is defined by Newton's second law of motion: The force exerted by an object is equal to its mass x acceleration: F = m ⨉ a.

Using this formula, must use SI units. Newtons for force, kilograms for mass, and meters/second squared for acceleration. A force is a push or pull on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. A force is a push or pull that tends to change the rest or uniform motion of an object, or to change the direction or shape of an object. This will accelerate the object. The SI unit is Newton.

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A boat drops an anchor 17. 5 feet to the bottom of a lake. If the anchor fal ls at a rate of 0. 07 feet each second, how long wi l l it take the anchor to reach the bottom of the lake?.

Answers

The anchors to reach the bottom of the lake are 250 seconds.

Solution:

v = d/t

t = d/v

t = 17.5 ft/0.07ft

t = 250 second

So, the time taken by the anchor to reach the bottom of the lake is 250 seconds. Hence, this is the required solution.

A saltwater pool sometimes called an underwater lake deep sea, or salt lake is a volume of salt water that collects in a depression on the ocean floor. A pool is a dense body of water with a salinity of three to eight times that of the surrounding sea. The lake's water comes from rain snow melted ice streams and seepage from groundwater. Most lakes contain fresh water.

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Metallic iron crystallizes in a body-centered cubic lattice, with one fe atom per lattice point. if the metallic radius of fe is 124 pm, what is the volume of the unit cell in pm3 and in cm3?

Answers

The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.

We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.

As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.

one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.

Now, these lattice points will contain

1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.

Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.

        \(d^2 = x^2+ x^2\)

        \(d^2=2x^2\)

The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.

\(d= r+2r+r = 4r\)

This means that we have,

\((4r)^2=2x^2\)

\(16.r^2 = 2x^2 \\x=\sqrt{8r^2}\)

This is equivalent to

\(x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm\)

So, the edge length of the unit cell is equal to 350.7 pm.

The volume of a unit cell. As we know, the volume of a cube is given by the formula

V = \(l\) × \(l\) × \(l\)

\(l\) = the edge length of the cube

Volume = (350.7)³ pm³

            = 4.3 × 10⁻¹⁰ pm³

            = 4.3e-30 cm³

Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.

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A 36 N net force acts on an 9 kg rock. What is the acceleration of the rock? *

Answers

Answer:

f=ma

therefore we have f=36N

                               m=9kg

a=f/m

36/9

=4m/s^2

Explanation:

The acceleration of 9 kg rock and being acted upon by a 36 N force would be 4 m/s2

Recall Newton's law of motion which says that the magnitude of a force (F) needed to accelerate (a) a body with mass (m) is the product of the acceleration and the mass of the body.

In other words; F = ma

Thus, a = F/m

In this case, F = 36 N and m = 9 kg

 

acceleration (a) = 36/9

                            = 4 m/s2

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An atom of xenon has a mass number of 127 amu. How many neutrons
does it contain? *

An atom of xenon has a mass number of 127 amu. How many neutronsdoes it contain? *

Answers

Answer:

73 neutrons.

Explanation:

Data obtained from the question:

Mass number of Xenon = 127.

Neutron number =...?

We can obtain the number of neutron present as follow:

Atomic number of Xenon = 54

Recall:

Atomic number = proton number = 54

Mass number = proton + neutron

127 = 54 + Neutron

Neutron = 127 – 54

Neutron = 73.

Therefore, 73 neutrons are present in the Xenon atom.

What is acceleration?

Answers

\({\tt{\red{\underline{\underline{\huge{Answer:}}}}}}\)

\(\longrightarrow\) The rate of change of velocity per unit time is called acceleration.

\(\huge\boxed{\fcolorbox{blue}{red}{Thank you}} \)

A digital audio compact disc (CD) carries data along a continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 mm of the track. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.30 m/s. Find the required angular speed (a) at the beginning of the recording, where the spiral has a radius of 2.30 cm, and (b) at the end of the record-ing, where the spiral has a radius of 5.80 cm. (c) A full-length recording lasts for 74 min, 33 s. Find the average angular acceleration of the disc. (d) Assuming the acceleration is con-stant, find the total angular displacement of the disc as it plays. (e) Find the total length of the track.

Answers

(a) The required angular speed at the beginning of the recording is approximately 52.38 radians per second.

(b) The required angular speed at the end of the recording is approximately 20.95 radians per second.

(c) The average angular acceleration of the disc is approximately -0.000286 radians per second squared.

(d) Assuming constant acceleration, the total angular displacement of the disc as it plays is approximately -0.343 radians.

(e) The total length of the track is approximately 5.28 kilometers.

(a) To find the required angular speed at the beginning of the recording, we can use the relationship between linear speed, angular speed, and radius. The linear speed is given as 1.30 m/s, and the radius is 2.30 cm (or 0.023 m). The formula to relate these quantities is:

Linear Speed = Angular Speed * Radius

Solving for angular speed:

Angular Speed = Linear Speed / Radius

Plugging in the given values:

Angular Speed = 1.30 m/s / 0.023 m

Angular Speed ≈ 56.52 radians/second

Therefore, the required angular speed at the beginning of the recording is approximately 52.38 radians per second.

(b) Similarly, to find the required angular speed at the end of the recording, we use the same formula and plug in the linear speed of 1.30 m/s and the radius of 5.80 cm (or 0.058 m):

Angular Speed = 1.30 m/s / 0.058 m

Angular Speed ≈ 22.41 radians/second

Therefore, the required angular speed at the end of the recording is approximately 20.95 radians per second.

(c) To find the average angular acceleration, we can use the formula:

Average Angular Acceleration = (Final Angular Speed - Initial Angular Speed) / Time

The final angular speed is the angular speed at the end of the recording, which is approximately 20.95 radians per second. The initial angular speed is the angular speed at the beginning of the recording, which is approximately 52.38 radians per second. The time is given as 74 minutes and 33 seconds, which is equivalent to 4473 seconds.

Average Angular Acceleration = (20.95 radians/second - 52.38 radians/second) / 4473 seconds

Average Angular Acceleration ≈ -0.000286 radians/second squared

Therefore, the average angular acceleration of the disc is approximately -0.000286 radians per second squared.

(d) Assuming constant angular acceleration, we can use the formula to find the angular displacement:

Angular Displacement = Initial Angular Speed * Time + (1/2) * Average Angular Acceleration * Time^2

The initial angular speed is approximately 52.38 radians per second, and the average angular acceleration is approximately -0.000286 radians per second squared. The time is given as 74 minutes and 33 seconds, which is equivalent to 4473 seconds.

Angular Displacement = 52.38 radians/second * 4473 seconds + (1/2) * -0.000286 radians/second squared * (4473 seconds)^2

Angular Displacement ≈ -0.343 radians

Therefore, the total angular displacement of the disc as it plays is approximately -0.343 radians.

(e) To find the total length of the track, we need to calculate the arc length of each bit and sum them up. Each bit occupies 0.6 mm of the track, which is equivalent to 0.0006 m.

The total number of bits can be calculated by multiplying the circumference of the spiral track by the number of revolutions. The circumference is given by 2π times the average of the initial and final radii.

Circumference = 2π * (2.30 cm + 5.80 cm) / 2

Circumference ≈ 27.77 cm

Converting the circumference to meters:

Circumference = 27.77 cm * 0.01 m/cm

Circumference ≈ 0.2777 m

The number of revolutions can be calculated by dividing the track length by the length of each bit:

Number of Revolutions = Track Length / Length of Each Bit

Number of Revolutions = 0.2777 m / 0.0006 m

Number of Revolutions ≈ 462.83 revolutions

Finally, we can calculate the total length of the track:

Total Length of the Track = Number of Revolutions * Circumference

Total Length of the Track ≈ 462.83 revolutions * 0.2777 m/revolution

Total Length of the Track ≈ 128.53 m

Therefore, the total length of the track is approximately 5.28 kilometers (or 5280 meters).

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Find the x-component of this
vector:
12.1 m
48.4°

Answers

The resultant distance of the vector is 12.1 m and the angle between two vectors are 48.4°. So the x-component of this vector is, Aₓ = 8.0335 m

What is vector?

Vector is a product that means a parameter has two types of property one is value second is direction. If a parameter has both then it called a vector quantity. Example: Velocity.

How can we calculate x-component of this vector?

To calculate the vector we know first this is a proper vector quantity or not. According to the question, this is a vector quantity. So it has two component, one along x axis another is y axis as shown in the picture.

We have to calculate the x-component, so we are using the formula is,

Aₓ = Acosθ

Here we are given,

A = The resultant distance of the vector = 12.1 m

θ= The angle between two vectors = 48.4°.

Now We have to calculate the x-component = Aₓ

Now we put the known values in the above equation, we get

Aₓ = Acosθ

Or, Aₓ = 12.1*cos(48.4°)

Or, Aₓ = 8.0335 m

According to the calculation we get, the x-component of this vector is, Aₓ = 8.0335 m

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Find the x-component of thisvector:12.1 m48.4

Answer:

Explanation:

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On a dry winter day, if you scuff your feet across a carpet, you build up a charge and get a shock when you touch a metal doorknob. In a dark room you can actually see a spark about 2 cm long. Air breaks down at a field strength of 3 × 10^6 N/C. How much charge have you built up? As- sume that just before the spark occurs, all the charge is in your finger, drawn there by in- duction due to the proximity of the doorknob. Approximate your fingertip as a sphere of di- ameter 1.42 cm, and assume that there is an equal amount of charge on the doorknob 2 cm away. Answer in units of C How many electrons does this correspond to? The elemental charge is 1.60218 × 10-19 C.

Answers

The number of electrons that corresponds to the number of charges is 2.71 × 10¹⁰ electrons.

How much charge have you built up?

The breakdown field strength of air is 3 × 10⁶ N/C, and the distance between the fingertip and the doorknob is 2 cm, so the electric field between the two is given by:

E = 3 × 10⁶ N/C

The electric field causes the charge on the fingertip to be drawn towards the doorknob, so we can calculate the charge on the fingertip using the formula:

q = 4π ε_0 x Er²

where;

r is the radius of the fingertip (0.71 cm) and

ε_0 is the permittivity of free space (8.854 × 10^-12 C^2/Nm²).

q = 4  x π  x 8.854 × 10⁻¹² x 3 × 10⁶  x  0.71²

q = 2.17 × 10⁻⁸ C

The charge on the doorknob is equal and opposite to the charge on the fingertip, so the total charge on both is calculated as;

Q_total =  2  x 2.17 × 10⁻⁸ C

= 4.34 × 10⁻⁸ C.

The number of electrons is calculated as follows;

number of electrons = q / e

where;

e is the elementary charge (1.60218 × 10⁻¹⁹ C).

number of electrons = ( 4.34 × 10⁻⁸ C / 1.60218 × ⁻¹⁹ C )

number of electrons = 2.71 × 10¹⁰ electrons

Learn more about electric field here: https://brainly.com/question/14372859

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