A straight wire segment carries 0.25a. what length would it need to be to exert a 4.0-mn force on a magnet that produces a uniform magnetic field of 0.015t that is perpendicular to the wire?

Answers

Answer 1

A straight wire segment that carries 0.25a, would need 1.10m to produce a uniform magnetic field.

Where is the homogenous magnetic field?

A uniform magnetic field is the solution. The magnetic field is considered to be uniform if its strength is the same at all of the area’s equally spaced points. It is represented by a parallel set of equally spaced lines.

What is a magnetic field’s uniform and non-uniform state?

A magnetic field that receives the same magnetic forces in all directions is said to have a uniform magnetic field. The magnetic field that experiences unequal forces from various directions is said to have a non-uniform magnetic field.

Give an example of a uniform magnetic field.

Helmholtz coils are available for purchase in order to provide a consistent magnetic field. The constant magnetic fields enable calibration in any scenario.

Calculation

I = 0.25A

B = 0.015 J

F = 4.0 mN

F = I (dl x B)

4 x 10^(-3) = 0.25 x l x 0.015

⇒ l = (4 x 10^(-3)) / 0.015 x 0.25

≈ 1.1 m

Thus, the length required would be 1.1m

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Related Questions

Give two examples of solids whose motion is: a) rectilinear translation. b) curvilinear translation. c) rotational.

Answers

Answer:

b one is correct........I wish u give me mark as brainlliest

An interior designer is choosing a paint color for a room and has two samples that are both blue, however one blue is described as brighter than the other. Both would have the same wavelength, but would differ based on what physical property of light?.

Answers

An interior designer is choosing a paint color for a room and has two samples that are both blue, however one blue is described as brighter than the other. Both would have the same wavelength but would differ due to the amplitude property of light.

The amplitude plays an important part in differentiating the same colors of the same wavelength. It tells us about the brightness or intensity of a certain light wave as compared to others of the same wavelength. So, whenever two same colors look different due to brightness, it is due to the amplitude property of the light.

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You are sitting next to a person who has twice as much weight. Are you gravitationally attracted to them? if so, is it twice as much as their attraction to you? if not, why not?.

Answers

Yes, I will be gravitationally attracted to the person who has twice as much weight sitting next to me. The gravitational attraction would be equal.

Gravitational pull is the force that everybody on Earth experiences. This force tends to pull a person to the center of the Earth.

The force of gravity is dependent on the masses that each object has. In the case above, the gravitational attraction between you and the person next to you with twice as much weight will be the same because the gravitational pull will be dependent on the product of the two masses of you and the other person. Hence, you are being attracted to that person with the same gravitational force with which he is being attracted to you.

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formula one racers speed up much more quickly than normal passenger vehicles, and they also can stop in a much shorter distance. a formula one racer traveling at 90 m/sm/s can stop in a distance of 110 mm

Answers

The acceleration of the car is found to be 36.8m/s²

The formula One car stops so, the final speed of the car (v) = 0 and the initial speed of the car is given 90m/s.

Distance covered by car ( s) = 110m.

Now we calculate the acceleration of the car by third equation of motion,

v²-u² = 2as

0-902 = 2a ×110

a = 902/2×110 = 36.8m/s².

Formula one cars can reach 60 mph from 0 in about 2.6 seconds. This may seem slow given their highest speed, but because much of their speed comes from aerodynamics, which performs better the faster the car is moving, they are unable to start with all of their power.

The rate of change of velocity with respect to time is known as acceleration. It’s SI unit is m/s².It is a vector quantity. Acceleration can be found out by the help of first and third equation of motion which are F= ma and v ²=u² + 2as.

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please answer show work

Answers

Answer:

speed =distance /time

10/4=2.5 m/s

how are ecosystem and plate motion Similar and different?

Answers

Geographic changes that result from plate tectonic processes must cause great environmental changes. For example, when continents drift into new latitudes, climatic patterns in both marine and terrestrial environments will be affected.

the tension in a clothesline carrying a load of wash is appreciably greater when the clothesline is strung horizontally than when it is strung vertically. why?

Answers

The tension vector's vertical components must add up to the weight, hence the vectors along the rope will be extremely enormous.

What is tension ?

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.

A force throughout a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. An action-reaction pair of forces acting at each end of the mentioned elements is what is referred to as tension.

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a ball is thrown downward from the top of a 210 m building. at the same time, another ball is thrown upward from the ground level with a speed of 25 m/s

Answers

The time when both the balls meet is found to be 8.4seconds.

By Newton’s third equation of motion

h = ut -1/2 gt²

-(210-h) = ½ ×gt²

h= 210 -1/2 gt²      (eq.1)

Now, we apply same equation for the ball thrown upward with initial speed of 25m/s

h = ut -1/2 gt²

h = 25t -1/2gt²      (eq.2)

On comparing eq. 1 and eq. 2 we get,

210 -1/2gt² = 25t -1/2gt²

210 = 25t

t = 8.4 sec.

Thus, the time when both the balls meet is found to be 8.4sec.

There are three laws of motion, which are stated by Sir, Isaac Newton. He describes the relation between the motion of the object and the forces which are acting on it during a projectile or simple motion. On the basis of three laws of motion, equations are dervied which are used to find the speed, height, velocity or acceleration of the object.

The three equations of motions are as follows:-

1. V= u + at

2. S= ut +1/2 at²

3. v²=u² + 2as.

Where, v is the final velocity, u is initial velocity, a is acceleration, s is distance covered and t is time taken.

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A green car travels on the highway at 12 m/s. A red car is behind the green car and traveling at 19 m/s. If it takes the red car 2 minutes to catch the green car, how far apart were they to begin with?

Answers

For the reason that the green car's initial velocity and acceleration are equal in both instances, it follows that you could use the time the pink automobile wishes to attain those two factors to write two equations with unknowns, the inexperienced vehicle's.

V0=-14.56m/s

a=-4.96m/s²

A red automobile and an inexperienced car flow in the direction of each different in adjacent lanes and parallel to an x-axis.

At time t = zero, the purple vehicle is at

XR = 0 and the green vehicle is at

Xg = 216 m.

If the red vehicle has a constant velocity of 27.0 km/h, the motors bypass every difference at x = 44.2 m. then again, if the red automobile has a steady velocity of fifty-four. 0 km/h, they skip every difference at

x = 76.7 m.

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Which part of solar system:
A Earth
B Saturn
C Mars
D Mercury

Answers

These are all planets so they are all part of the solar system
They are all parts of solar system.

The magnitude of the electric field e outside the sphere at a distance 3r from the center of the sphere is:_________

Answers

Zero. Because electric field inside a charged conductor is always zero.

Explain what the electric field is.

A region of space surrounding an electrically charged particle or object known as an electric field is one in which an electric charge would experience force.

A vector quantity called an electric field can be represented by arrows pointing in the direction of or away from charges.

What are electric field and what does it mean in SI?

Volts per metre (V/m) is the electrical field’s SI unit.

The Newton’s per coulomb unit is the same as this one. These are derived units in which Newton is a force unit and Coulomb is a charge unit.

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what is one advantage of observing living things in a closed setting?

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The most important advantage of observing living things in a closed setting is to observe the causes and effects of a given variable.

What does cause and effect in experimentation mean?

The expression 'cause and effect in experimentation' refers to which are the dependent variables whose changes depend on the independent variable, which only can be tested in a closed system during experimental procedures.

In conclusion, the most important advantage of observing living things in a closed setting is to observe the causes and effects of a given variable.

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HELP PLEASE I'M GONNA FAIL!!! pls help


In a short-answer response, thoroughly describe what free-body diagrams are used for and what the free-body diagram is telling us about the directions of the forces.
Make sure to include which direction the object will move and give an example of what that object could be. (examples: box, soccer ball, rope in a tug-of-war, etc.)

Answers

Free body diagrams are used in mechanics problems to illustrate forces and moments applied to a body and to compute reactions.

What is a Free Body diagram?

The relative strength and direction of all forces operating on an object in a specific circumstance can be depicted using free body diagrams (FBDs), which are helpful tools. The careful creation of a free-body diagram is a prerequisite for the analysis and description of the majority of physical processes. In a free body diagram, the size of the arrow represents the force's magnitude, while the direction of the arrow represents the way it acts.

These diagrams are widely used to compute internal forces within a structure, as well as to determine the loading of certain structural components.

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jupiter has a mass of approximately . jupiter’s moon ganymede has a mass of approximately and it orbits jupiter at a distance of approximately . calculate the approximate magnitude of the attractive gravitational force between ganymede and jupiter.

Answers

The approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.

According to Newton’s Law of Gravitation, the gravitational force between two bodies is directly proportional to the masses of the two objects and is inversely proportional to the square of the distance between them.

The above statement can be represented by the following equation:

F = Gx (m1)x (m2)/r^2

Here G = Universal Gravitational Constant = 6.67 x 10^-11 N m^2/kg^2

m1 and m2 are the masses of two bodies

r is the distance between the bodies

Putting m1= Mass of Jupiter= 1.89 x 10^27 kg

m2 =Mass of Ganymede 1.48 x 10^23 kg

r = Distance between Jupiter and Ganymede = 1.07 x 10^9 meters

F = 6.67 x 10^-11 x 1.89 x 10^27 x 1.48 x 10^23/(1.07 x 10^9)^2

On solving the above equation F comes out to be 16.35 x 10^21 N.

Thus, the approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.

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(fill in the blank). _______ is how far an object has moved.

a. Distance
b. Displacement
c. Velocity
d. Rate

Answers

Distance is how far an object has moved.

Answer:

Distance

Explanation:

What is the purpose of a standard drink measurement? alcoholedu for college exam

Answers

The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

What is the purpose of a standard drink measurement?

The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way.

So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.

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The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

What is the purpose of a standard drink measurement?

The standard drink measurement should contain 14 grams of pure alcohol in United States of America. The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way. In the United States, one "standard" drink contains about 14 grams of pure alcohol which is usually about 5% alcohol. We know that 5 ounces of wine, has about 12% alcohol, 1.5 ounces of distilled spirits which is 40% alcohol.

So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.

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An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. As a result, what happens to the mass and weight of the object?.

Answers

The mass of the object remains the same but the weight decreases as the object move upward.

Because mass is the amount of matter in an item and does not change with gravity, mass remains constant. If the amount of matter didn't change, it would stay the same. We can observe that this innate quality, mass, never changes and remains the same wherever we place it in the universe.

According to a new high-resolution map, a person can weigh differently depending on where they are on Earth due to changes in the planet's gravity. Many people believe that gravity is constant over the entire planet, however, scientists have shown that gravity varies because the planet is not perfectly spherical or uniformly dense.

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Select the option that best summarizes the reason for the use of position-time graphs when studying physical science. (1 point)
O Position-time graphs show the relationship between the position of an object (shown on the x-axis) and the time (shown on the y-axis) to show displacement.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show acceleration.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show displacement.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.
x

Answers

====================================Position, Distance, and Displacement

========================================================

Hello! Lets begin!

1. Which answer best describes displacement?

A) Displacement is a vector quality showing total length of an area traveled by a particular object.

2. Kelley is playing pool and hits the cue into the nine ball, which is directly in the center of the pool table. The nine ball travels a total of 7 meters before stopping, 1 meter to the left of the initial starting point of the nine ball. Which sentence reflects the correct statement regarding distance and displacement when considering the motion of the nine ball?

D) The nine ball traveled a distance of 7 meters and was displaced by 1 meter.

3. What is velocity?

B) Velocity is a vector quantity that tells the distance an object has traveled over a period of time.

4. Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?

C) The slope of the line is equal to zero and the object will be stationary.

5. Select the option that best summarizes the reason for the use of position-time graphs when studying physical science.

B) The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.

_______________________________________________________

Good luck my peeps! ;D

The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.

What is velocity?

Velocity is a vector quantity that tells the distance an object has traveled over a period of time.

Displacement is a vector quality showing total length of an area traveled by a particular object.

Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?

The slope of the line is equal to zero and the object will be stationary.

The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.

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True
False
Question
Preventative health behaviors rarely have much influence on health as most diseases
are genetic.

Answers

Answer:

It is false

Explanation:

I am not sure behind the science on this, but if I had to guess I would chose false. This is because preventing certain things from happening in the long run can at least do a good job of reducing the chance of something happening, correct? Don’t take my answer as correct right away, do a quick search up on the internet and you should be able to find what your looking for with the science behind it! You got it!

Preventative health behaviors rarely have much influence on health as most diseases are genetic.

ANSWER: FALSE

1. List the four most common states of matter.
2. What factors determine the state of a substance?
3. Describe a solid.
2C REVIEW QUESTIONS
4. Compare crystalline and amorphous solids.
5. What property allows you to describe liquids and gases
as fluids?
6. What is viscosity?
7. Compare the degree of motion of the particles in
solids, liquids, and

Answers

The correct answer is :

1) Matter exists in four different natural states: solids, liquids, gases, and plasma.

2) Whether a thing is a solid, liquid, or gas depends on two factors:

a substance's constituent atoms, molecules, or ions are made up of their individual kinetic energies. The particles are typically kept apart by kinetic energy. The intermolecular forces that tend to bind particles together with attractive force.

A substance won't condense into a liquid or solid if the average kinetic energy is higher than the attraction forces holding the particles together. A liquid or solid will develop if the kinetic energy is lower than the attraction forces.

3) A solid is distinguished by its structural rigidity and resistance to external forces. A solid substance, unlike a liquid, does not flow to conform to the shape of its container or, like a gas, expand to cover the entire space.

4) Particles that are organised in three dimensions make up crystalline solids. They have equivalent intermolecular forces between them. They have a distinct melting temperature and are anisotropic. The genuine solids are what they are known as. Diamond, benzoic acid, and other crystalline solids are among examples. The use of diamonds includes the creation of exquisite jewellery and the cutting of glass, among other things.

Amorphous means having no defined shape. Solid particles are arranged erratically in amorphous materials. They do not have equivalent intermolecular forces between them. Additionally, the separation between every two particles varies. They lack a recognisable geometric shape. Amorphous solids are isotropic materials that are also referred to as supercooled liquids. Glass and other amorphous solids are a few examples.

5) Because the intermolecular interactions permit the molecules to move, both the liquid and gas phases are fluid. The materials don't have set shapes in each of these phases; instead, the containers housing them shape them.

6) The ability of a fluid to resist relative motion between two surfaces that are moving at different speeds is known as viscosity. In simpler terms, viscosity refers to friction between fluid molecules or resistance to flow.

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Ashley is going on a trip to London. She has saved $130.00 in spending money. When she arrives in England, she goes to a bank to change her money into pounds. She is told that the exchange rate is 1 British pound = 1.43 American dollars. The bank charges a fee of 4 pounds to change the money from dollars to pounds. How much money, in British pounds, will Ashley have if she changes all of her dollars to pounds?

Answers

Ashley will have 86.909 pounds to spend on the trip in London.

1 British pound = 1.43 American dollars

This shows the conversion of British pound into American dollars.

1 American dollar = [tex]\frac{1}{1.43}[/tex] British pound

1 American dollar = 0.6993 British pound

Ashley has  $130.00

The amount of money she will have in British Pound can be calculated as:

=  $130.00 * 0.6993

= 90.909 British Pound

Fee charged by the bank to convert the currency from American dollars to British pounds = 4 British pounds

Remaining amount after paying bank's fee = 90.909 - 4

= 86.909 British pounds

Therefore Ashley will have 86.909 British pounds after she changes all of her dollars to pounds.

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Explain how economics affects science

Answers

Through scientific, methodical experiments and research, researchers have found problems in transportation networks, rates of exchange, types of investments, and the efficiency of factories. By identifying these issues, they can find new solutions that allow economic networks to become more productive.

you are exploring a newly discovered planet. the radius of the planet is 7.40 × 107 m. you suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. you measure that it takes 0.0605 s for a transverse pulse to travel from the lower end to the upper end of the string. on earth, for the same string and lead weight, it takes 0.0320 s for a transverse pulse to travel the length of the string. the weight of the string is small enough that its effect on the tension in the string can be neglected.

Answers

The mass of the Other planet is 2.81 x 10²⁶ m for the given parameters.

What does the mass of a planet mean?

In astronomy, the term "planetary mass" refers to the measurement of an object's mass that resembles a planet. The mass of the Sun, solar mass (M), is used as the unit of mass in the astronomical system of units, which is frequently used to estimate the sizes of planets in the Solar System.

Given,

The radius of the other planet is 7.40 x 10(7) meters.

String mass is M=0.028kg.

The string's length is L=4m.

Time (Tp) = 0.0605 seconds on other planets.

Te is the same as 0.0320 seconds.

Locating lead on Earth should be the first step.

This is the equation for linear mass density:

μ = M/L = 0.028/4 = 0.007 Kg/m

In this case, the wave's speed is given by the equation Ve = L/t = 4/0.032 = 125 m/s.

The formula produces the tension of the spring (Fe);

Fe = (Ve)2 = 0.007 x 125 = 0.87 N

The findings of applying Newton's second rule of motion to this earth lead are as follows:

0 if Fy = Fe-Wl.

Fe - W(l) = 0, which leads to Fe = W. (l)

We know that Weight(W) = Mg.

Me = M(l)g, so Fe.

Where M(l) is the mass of the lead, and g is the acceleration brought on by gravity on earth, which is 9.81.

As a consequence, M(l) = Fe/g = 0.875/9.81 = 0.089kg.

Use the same method to calculate the lead on the second planet;

The linear density of a material is a property that doesn't change:

μ = 0.007 Kg/m

In this case, the wave's velocity is given by the equation Vp = L/t = 4/0.0605 = 66.11 m/s.

The formula produces the tension of the spring (Fp);

Fp = (Vp)2, which equals 30.59 N or 0.007 x 66.112 N.

The findings of applying Newton's second rule of motion to this earth lead are as follows:

Fy = Fp – Wl = 0

As a consequence, Fe - W(l) = 0 and Fp = W. (l)

We know that weight(W) equals mass (Mg) (p)

Consequently, Fp = M(l)g (p)

where M(l) is the mass of the lead and g(p) is the acceleration brought on by the gravity of the other planet.

As a consequence, gp = Fp/M(l) = 30.59/0.089 = 343.70 m/s2.

The planet's acceleration may be calculated using the gravity equation using the formula g = (GM)/r2.

As M is the subject, we have;

(gr²)/G = M

Gravitational constant G has a value of 6.6742 x 10(-11) Nm2/kg2.

M is the planet mass.

the planet's radius r

Thus;

M = [343.70 x (7.4 x 10^(7))²] / 6.6742 x 10^(-11)

Mass = 2.81 x 10^(26)m

Complete Question -

You are exploring a newly discovered planet. The radius of the planet is 7.20 × 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On earth, for the same string and lead weight, it takes 0.0370 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that its effect on the tension in the string can be neglected.

Part A

Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?

Express your answer with the appropriate units.

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A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of v1. The student throws a ball along a path that she judges to make an initial angle of θ with the horizontal and to be in line with the track. The student’s professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does the ball rise?.

Answers

The ball rises to a height of s = ( [tex]V_{1}[/tex] tan θ )² / 2g m

[tex]V_{y}[/tex] / [tex]V_{x}[/tex] = tan θ

Here [tex]V_{y}[/tex] is the vertical velocity and [tex]V_{x}[/tex] is the horizontal velocity which is the velocity of train.

[tex]V_{y}[/tex] = [tex]V_{1}[/tex] tan θ ( θ is the angle of projection )

We know that,

a = [tex]V_{y}[/tex] / t

t = [tex]V_{y}[/tex] / a

where,

a = Acceleration due to gravity = g

t = Time

s = ut + 1 / 2 at²

s = 1 / 2 ( g ) ( [tex]V_{1}[/tex] tan θ / g )²

s = ( [tex]V_{1}[/tex] tan θ )² / 2g m

The height of a projectile is the distance of thrown object from the point where it is thrown vertically.

Therefore, the ball rises to a height of s = ( [tex]V_{1}[/tex] tan θ )² / 2g m

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with what tension must a rope with length 2.80 m and mass 0.125 kg be stretched for transverse waves of frequency 39.0 hz to have a wavelength of 0.740 m ?

Answers

The tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.

The velocity(v) of a wave in a string is given by the following formula

V = 1/2L x √(T/μ) .........(i)

Here, L is the length of rope

T is the tension

μ is the mass per unit length i.e, M/L

We know that v = f x λ

Where f is the frequency and λ is the wavelength

So, the equation becomes

f x λ =  1/2L x √(T/μ)

Putting f = 39 Hz, lambda = 0.740 m, L= 2.80 m and m = 0.125 kg

39 x 0.740 = 1/2(2.80) root T/(0.125/2.80)

On solving the above equation

T = 1166 N.

Hence, the tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.

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How much force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2? responses 5 n 5 n 20 n 20 n 200 n 200 n 2000 n

Answers

200N force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2

we have given in the statement

mass=100kg

acc= -20m/s^2

F=?

from newton's formula, we will find force

F=ma

F=100kg×20m/s^2

F=200N

The SI unit of force is the Newton. It is described as the force that propels a mass of 1 kilogram at an acceleration of 1 meter per second squared. Its sign is the capital N, which is expressed as 1N=1 kg m s2.A body's rate of linear momentum change is directly proportional to the applied force, and the change occurs in the direction of the applied force. An illustration of this relationship is When a truck and a vehicle are pushed with the same effort, it is noticeable that the automobile accelerates more quickly than the truck since its mass is lower.

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can someone tell me if this picture has light pollution in it pls?

Answers

Answer:

Yes

Explanation:Yes it has light pollution

Yes a lot of it by the looks of it. Hope that helps!

In this lab, you will use a falling cylinder attached to a
propeller in a water bath to explore the conversion of
energy in a system. You will vary two different variables
and determine how each one affects the temperature of
the water. In the space below, write a scientific question
that you can answer by doing this experiment.

Answers

In a lab, while performing the experiment, one question that I will ask will be - How potential energy can be converted into thermal energy? The answer for tat will be by seeing and understanding the sample response in the experiment.

What separates potential energy from thermal energy?

Potential energy is released from them when they are divided. A particle's potential energy increases with distance. As they gain speed, their kinetic energy increases. The thermal energy of an object is the sum of the kinetic and potential energies of all the particles.

What gives thermal energy its potential?

Energy from heat transfer as potential and kinetic energy

This occurs as a result of the attractive forces they generate for one another. Additionally, the particles are forced apart by a rise in body temperature. As a result, as their potential energy rises, so do the forces of attraction between them.

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Light with a frequency of 7. 30 x 10^14 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light?.

Answers

Light with a frequency of 7. 30 x 10^14 hz lies in the violet region of the visible spectrum. The wavelength of this frequency of light is 4×10^-7 m.

As we know

c =  λf

where

c is the speed of light,  λ is wavelength and f is frequency.

Given:

c = 3×10^8

f=7.3×10^14

Putting the values

λ = c/f

λ = 3×10^8/7.3×10^14

λ =  4×10^-7 m.

The wavelength is 4×10^-7 m.

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The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. What is the initial projection angle of the projectile?.

Answers

The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. The initial angle of the projectile is 67.8°.

The motion from zero to maximum height is :

Vyi = √2gh

Now the motion from zero to half of the maximum height is :

Vyh = √gh

At maximum height, the speed is Vx = √Vx^2+Vyh^2/2

Vx =√Vx^2+gh/2

by simplifying,

Vx = √gh/3

To find the angle of projection

∅ = tan^-1(Vyi/Vx) = √2gh/√gh/3

∅ = 67.8°

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