A cyclist rides 6.31 km east, then 9.38 km in a direction 41.24 degrees west of north, then 7.53 km west. What is their displacement?

Answers

Answer 1

The displacement of the cyclist is 7.86 km at an angle of 45.03 degrees.

To find the displacement of the cyclist, we need to find the net change in position of the cyclist. We can break down the journey into three vectors: one for the eastward movement, one for the movement in the direction 41.24 degrees west of north, and one for the westward movement.

First, we can find the x- and y-components of the movement in the direction 41.24 degrees west of north using trigonometry:

x = 9.38 km * cos(41.24 degrees) = 7.54 km

y = 9.38 km * sin(41.24 degrees) = 5.21 km

Next, we can add the x-components and y-components of each of the three vectors to find the net change in x and y:  

x = 6.31 km + 7.54 km - 7.53 km = 6.32 km

y = 5.21 km

Finally, we can find the displacement by finding the magnitude and angle of the vector (6.32 km, 5.21 km):

displacement = √(6.32 km)^2 + (5.21 km)^2 = 7.86 km

angle = atan(5.21 km / 6.32 km) = 45.03 degrees

So the displacement of the cyclist is 7.86 km at an angle of 45.03 degrees.

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Related Questions

What information is needed to calculate the gravitational force of an object?(1 point).

Answers

To calculate the gravitational force of an object mass of two objects and the distance between the object.

What is Gravitational Constant?

The gravitational constant, abbreviated G, is an empirical physical constant used in the calculation of gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.

The gravitational force is one of the different types of forces in physics. It is a force that draws any two mass-containing objects together. Due to the fact that it always draws the masses of two objects together, the gravitational force is also referred to as the attractive force. According to Newton's law of gravitation, every object in the universe is attracted to other objects. Strong, weak, electromagnetic, and other types of forces are among the others.

Gravitational Force = (Gravitational Constant × Mass of first object × Mass of the second object) / (Distance between the centre of two bodies)2

The unit of gravitational force is newton.

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what force, in newtons, must you exert on the balloon with your hands to create a gauge pressure of 55 cm h2o, if you squeeze on an effective area of 48 cm2? assume the pressure in the balloon is one atmosphere before you squeeze.

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A force of approximately 339,872 N to create a gauge pressure of 55 cm H2O, if you squeeze on an effective area of 48 cm^2.

The tension contrast can be determined as follows:

ΔP = (55 cm H2O) * (1 atm/760 cm H2O) * (101325 Dad/1 atm) = 7079 Dad

What's more, the power can be determined as:

F = ΔP * A = 7079 Dad * 48 cm^2 = 339,872 N

To work out the power expected to make a measure strain of 55 cm H2O, you want to initially change over the tension distinction into SI units (Pascals). This should be possible by increasing 55 cm H2O by a transformation figure that considers the connection between cm H2O and environments, and among climates and Pascals. Subsequent to changing over completely to Pascals, the power can be determined by increasing the tension distinction by the compelling region of the inflatable. The power is equivalent to the strain contrast duplicated by the region, so a bigger region will require a more modest power to create a similar tension.

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A smart refrigerator can use _____ to detect when you are running low on milk, and then send a reminder to you on a wireless network. A- Navigation systemsB - TransistorsC - KiosksD - Sensors

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A smart refrigerator can use sensors to detect when you are running low on milk, and then send a reminder to you on a wireless network.

A smart refrigerator is a type of technology that utilizes sensors to monitor and manage the contents inside the refrigerator. One of its key features is the ability to detect when you are running low on a specific item, such as milk. This is done by using sensors that monitor the level of milk in the container. Once the milk level drops below a certain threshold, the refrigerator sends a reminder to you through a wireless network, such as Wi-Fi. This reminder can be in the form of an app notification, text message, or email. This helps you keep track of the items in your refrigerator and ensures that you never run out of milk unexpectedly. The smart refrigerator is a convenient and practical solution for managing your food inventory and keeping your life organized.

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how many m/s is 50 mi/h equivalent to? (1 mi = 1609 m.)

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22m/s

What is velocity?

The vectorial expression of velocity is the movement in space-time of an object or particle. The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimetres per second (cm/s).Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity.  Therefore, V is the velocity, d is the distance, and t is the time in the equation V = d/t.

50 miles per hour is equal to 50 (mi/h) x 1609 (m/mi) / 1 (h/3600 s) = (50x1609/3600) m/s.

=22m/s

Use this equation to convert a mile to a metre: mi X 1,609.344= m (miles multiplied by 1,609.344 equals meters). .

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According to the question the m/s is 50 mi/h equivalent to 22m/s

What is velocity?

The vectoral expression of velocity is the movement in space-time of an object or particle. The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimetres per second (cm/s).Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity.  Therefore, V is the velocity, d is the distance, and t is the time in the equation V = d/t.

50 miles per hour is equal to
50 (mi/h) x 1609 (m/mi) / 1 (h/3600 s) = (50x1609/3600) m/s.
=22m/s
Use this equation to convert a mile to a metre:
mi X 1,609.344= m (miles multiplied by 1,609.344 equals meters). .

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The second step in the Gram staining procedure involves flooding the slide for one minute with
A. safranin.
B. iodine.
C. a decolorizing agent.
D. crystal violet.

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There are four fundamental steps in the Gram staining procedure:1. Apply a base color (crystal violet). 2. Adding Gram's iodine as a mordant. 3. Rapid decolorization with acetone, ethanol, or a combination of the two. 4. Using safranin as a counterstain, therefore, option b is the right choice.  

A Gram stain is a laboratory test that looks for bacteria in some physiological fluids or at the probable location of an infection. Healthcare personnel may quickly determine whether germs are present and, if so, what type of bacteria they are thanks to the Gram stain, which is processed by a medical laboratory expert (s). Further identification tests and treatment options may be guided by this.

A broad class of single-celled creatures is known as bacteria. They may reside on your skin and in various locations throughout your body. While some bacteria are benign or even helpful, others can lead to illnesses and diseases. Gram stains are used to identify dangerous bacteria.

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What power is dissipated in the internal resistance of the battery?

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The power dissipated in the internal resistance of the battery is equal to the product of the current flowing through the battery and the voltage drop across the internal resistance.

Every battery has an internal resistance, which causes a voltage drop when current flows through the battery. This voltage drop results in a loss of energy in the form of heat, which is known as the power dissipation in the internal resistance of the battery.

The amount of power dissipated in the internal resistance is directly proportional to the current flowing through the battery and the internal resistance. The higher the current and internal resistance, the more power is dissipated, which can reduce the overall efficiency of the battery and shorten its lifespan.

To maximize the efficiency of a battery, it is important to minimize its internal resistance and choose a battery with low internal resistance.

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A 2kg crate ret on the floor. How much work i required to move it at contant peed 3m a frictionle air table,

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When mass and velocity are given the work done is the change in kinetic energy . Here the work done to move the crate will be will be 9 J.

Here a crate of 2 kg is resting on the floor. Work should be done to move the object at a constant speed. When mass and velocity are given, because here the object is attaining kinetic energy, the work done will be the change in kinetic energy.

As the object was at rest, the initial kinetic energy will be 0.

Work done, W = [tex]\frac{1}{2} mv_{2} ^{2} -\frac{1}{2}mv_{1} ^{2}[/tex]

v₁ = 0 , so the second term becomes 0.

W = [tex]\frac{1}{2}mv_{2}^{2}[/tex]

     = 1/2 ×2×3² = 9 J.

Since crate is moving on a frictionless surface, we can ignore the frictional force.

So the work done to move a 2 Kg crate over a frictionless surface at a speed of 3m/s is 9 J.

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If the mass of the cart was halved the magnitude of the centripetal acceleration of the cart would.

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If the mass of the cart was halved the magnitude of the centripetal acceleration of the cart would remain same.

What Is Centripetal Acceleration ?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

The rate at which tangential velocity changes is known as centripetal acceleration. Centripetal force is defined as the total force that accelerates an item in a circular motion. As we can see, mass has no bearing on an object's centripetal acceleration; as a result, the centripetal acceleration is unaffected by changes in mass.

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what is the sign of the charge on the yellow sphere? Positive or negative

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The net electric force on the blue sphere has a magnitude F and is directed in the  y direction, the sign of the charge on the yellow sphere will be negative.

What is electric force?

Electric force is described as the repulsive or attractive interaction between any two charged bodies. Electric force just like any other  force, its impact and effects on the given body are described by Newton's laws of motion.

The distance between the two spheres, the magnitude of the charges, and the direction of the force between them would be factors that will help us determine the the sign of the charge on the yellow sphere.

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Calculate the frequency of an x-ray having a wavelength of 2.5 x 10-7 cm.

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The frequency of an x-ray having a wavelength of 2.5×10⁻⁷ cm is 1.2×10¹⁷ Hz

How do I determine the frequency of the x-ray of wavelength 2.5×10⁻⁷ cm?

We'll begin by converting the value of the wavelength from cm to m. Details below:

Wavelength (in cm) = 2.5×10⁻⁷ cmWavelength (in m) =?

100 cm = 1 m

Therefore

2.5×10⁻⁷ cm = (2.5×10⁻⁷ cm × 1 m) / 100

2.5×10⁻⁷ cm = 2.5×10⁻⁹ m

Finally, we shall determine the frequency of the x-ray. This is shown below:

Wavelength (λ) = 2.5×10⁻⁹ mSpeed of x-ray (v) = 3×10⁸ m/sFrequency of x-ray (f) =?

Velocity (v) = wavelength (λ) × frequency (f)

3×10⁸ = 2.5×10⁻⁹ × frequency

Divide both sides by 2.5×10⁻⁹

Frequency = 3×10⁸ / 2.5×10⁻⁹ m

Frequency = 1.2×10¹⁷ Hz

Thus, from the above calculation, we can conclude, the frequency is1.2×10¹⁷ Hz

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PRACTICE the skill 1.27 Use VSEPR theory to predict the geometry for each of the following structures: H H CI H H-NH C-6-H (b) (c) 1.28 Compare the structures of a carbocation and a carbanion: Carbocation Carbonion In one of these ions, the central carbon atom is trigonal planar, while the other is trigonal pyramidal. Using VSEPR theory, assign the correct geometry to each ion 1.29 Ammonia (NH) will react with a strong acid, such as hydronium (H30*), to give an ammonium ion, as shown below. This type of process is an acid-base reaction, which will be the topic of Chapter 3. Using VSEPR theory, determine whether you expect a change in bond angles when ammonia is converted into an ammonium ion Explain. Н HANH H,0 APPLY the skill Ammonia Ammonium lon 1.30 When sand is coated with a layer of trimethylhydroxysilane, (CH)SiOH, it repels water and can no longer get wet. Hydrophobic sand (aka, magic sand) is fun to play with. but it can also have useful applications in agriculture to reduce water consumption." Predict the geometry for the silicon atom in trimethylhydroxysilane,

Answers

1.27 Using VSEPR theory, the geometry of the structures can be predicted as follows:

H H CI: linear

H H-NH: trigonal pyramidal

C-6-H (b): tetrahedral

C-6-H (c): tetrahedral

1.28 Using VSEPR theory, a carbocation is trigonal planar while a carbanion is tetrahedral. This is because in a carbocation, the positive charge creates a highly polarized atom and repels the electrons, causing them to form a planar shape. In a carbanion, the negative charge attracts the electrons, causing them to form a tetrahedral shape.

1.29 VSEPR theory predicts that there will be a change in bond angles when ammonia is converted into an ammonium ion. In ammonia, the nitrogen atom is bonded to three hydrogen atoms, forming a trigonal pyramid geometry. However, in the ammonium ion, the nitrogen atom is bonded to a hydrogen ion, which changes the geometry to tetrahedral.

1.30 Using VSEPR theory, the silicon atom in trimethylhydroxysilane is tetrahedral. This is because the silicon atom is bonded to four different atoms (one oxygen and three carbon atoms), causing the electrons to form a tetrahedral shape.

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How do you convert polar coordinates to normal coordinates?

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Summary: to convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y)

Hope This Helps!

a three-phase squirrel-cage motor is connected to a 60-hz line. the fullload speed is 870 rpm. how many poles per phase does the stator have?

Answers

The number of poles per phase in the stator of a three-phase squirrel-cage motor can be determined from its full-load speed and the frequency of the line it is connected to.

The full-load speed of a three-phase squirrel-cage motor is the speed at which the motor operates when it is loaded to its maximum rated capacity. The frequency of the line it is connected to is the frequency of the alternating current (AC) power supply that it is using.

The relationship between the speed of a three-phase motor and its frequency and number of poles can be determined using the following formula:

Speed (in RPM) = (120 * frequency) / number of poles

Using the given information, we can calculate the number of poles in the stator as follows:

870 RPM = (120 * 60 Hz) / number of poles

Solving for the number of poles, we get:

number of poles = (120 * 60 Hz) / 870 RPM = 8 poles per phase

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A system at a temperature of 20ºC is near another system at a temperature of 60ºC, as shown in the figure. The systems are isolated from the outside world but not from each other.
a. Predict how the thermal energy of each system will change if they are moved so that they touch.
b. Explain why this will happen.

Answers

If the two systems are brought into contact, their thermal energy will adjust so that the total thermal energy remains constant and the temperatures of the systems will approach a common value that is somewhere between 20ºC and 60ºC.

b. This happens due to the transfer of heat energy from the higher temperature system to the lower temperature system until both systems reach a common temperature. Heat naturally flows from hot to cold, until the two temperatures are equal. This process is known as thermal equilibrium, and it is driven by the second law of thermodynamics, which states that heat will always flow from hot to cold until a state of thermal equilibrium is reached.

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an instrument that measures and displays electrical impulses

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An instrument capable of measuring and displaying electrical impulses is the Electrocardiogram (EKG).  That instrument using electrodes placed on the skin.

In the term of science, Electrocardiography generally can be defined as the process of producing an electrocardiogram, a recording of the heart's electrical activity. Electrocardiography also can be defined as an electrogram of the heart which is a graph of voltage versus time of the electrical activity of the heart using electrodes placed on the skin. The main principle of  EKG or Electrocardiogram is by records impulses to show how fast the heart is beating, the rhythm of the heartbeat (steady or irregular), and the strength and timing of the electrical impulses as they move through different parts of the heart.

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7 types of electromagnetic waves from lowest to highest wavelength?

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Radio waves, Microwaves, Infrared radiation, Visible light, Ultraviolet radiation, X-rays, Gamma rays are 7 types of electromagnetic waves from lowest to highest wavelength.

The energy levels, wavelengths, and frequencies of the photons that make up each region of the electromagnetic (EM) spectrum are distinctive. The strongest, shortest, and most energetic gamma rays are also the most energetic. As opposed to other forms of EM radiation, radio waves have the lowest energy, the longest wavelengths, and the lowest frequencies. The parts of the electromagnetic spectrum are designated as follows, from highest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. The radio wave region of the electromagnetic wave spectrum includes microwaves (such as those found in microwave ovens).

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how do you determine the largest net driving force

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The largest net driving force is determined by comparing the magnitude of all force acting on a system and choosing the one with the greatest value.

The largest net driving force is a crucial concept in physics and thermodynamics. It refers to the net force that drives the change in a system, such as chemical reactions or physical processes.

The magnitude of all forces acting on a system, such as friction, gravity, or pressure, must be compared to determine the largest net driving force. The force with the greatest value is considered to be the largest net driving force and will have the most significant effect on the system.

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Use the formulas below to match the number to how many of each element are present. (i.e. There are 2 Aluminum and 3 Oxygen present in Aluminum oxide Al2O3)


Bromine: Br2
Lithium Sulfide: Li2S
Silicon Hydride: SiH4
Magnesium Phosphide: Mg3P2
Sodium Carbonate: Na2CO3

PLEASE HELP!! And PLEASE be accurate!!! Thank you very much!!

Answers

Alumunium has an atomic number  (Z) of 13 So, its electronic configuration is [Ne] 3s2 3p1 Hence, it needs to lose 3 electrons to attain stable configuration, hence its valency is three. Oxygen has an atomic number (Z) of 18 So, its electronic configuration is [He]2s23p1.

How many oxygen molecules does Al2O3 exist?

This formula's subscripts (2 and 3) indicate how so many atoms will make up each unit of a compound.The 2 denotes the presence of two aluminum atoms and the 3 denotes the presence of three oxygen atoms.

How many atoms and elements are there in the formula al2 co3 3?

So there's also aluminum, plus carbon now and nine oxygens.Therefore, the sum of the atoms is two + three plus nine, which equals 14.In the formula given after the molecule, there are therefore 14 atoms.The issue has now been resolved.

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what is the relationship between voltage and the distance from charges? reference photos 3 and 4 in your answer.

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The relationship between voltage and the distance from charges is given as V=kq/r.

The potential difference or voltage is given as V=kq/r. Where k is the electrostatic constant, q is the charge of the particle and r is the distance of the point from the charge. So the voltage is inversely proportional to the distance of the charge. So as the distance of the point from the charge increases, the value of voltage decreases. Voltage is measured in volts (V) where 1 volt is defined as 1 joule of energy per coulomb. Therefore, a voltage of 10 volts means it must have 10 joules of energy transferred per unit of charge passed through it.

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take the slope of the curve to determine the velocity, in meters per second, at time t = 30.0 s.

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The slope of the curve to determine the velocity is 0.238 m/s.

The graph given in the question is the position versus time plot. The slope of the position versus time plot gives the velocity of the object. Firstly, we can write coordinates of the endpoint of the graph as (0.00,2.50) and (70.0,19.0) as shown in the figure below.

The slope of the line is obtained as,

V=19.0 m-2.50 m/70.0 - 0.00 s=0.2375 m/s

≈ 0.238 m/s

Since position and time are almost directly proportional, so the corresponding slope (velocity) would remain constant throughout the motion. This implies that velocity at any time, say at t = 30 s, will be equal to the slope of the position-time graph.

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Complete ques is

Using approximate values, calculate the slope of the curve in the given figure to verify that the velocity at t = 30.0 s is 0.238 m/s. Assume allvalues are known to 3 significant figures.

in a thundercloud, there may be electric charges of 140.0 c near the top of the cloud and 240.0 c near the bottom of the cloud. these charges are separated by 2.00 km. what is the electric force on the top charge?

Answers

Answer:

The electric force between the two charges is given by Coulomb's Law:

F = k * q1 * q2 / r^2

Where:

k = Coulomb constant = 8.99 x 10^9 N * m^2 / C^2

q1 = 140.0 C

q2 = 240.0 C

r = 2.00 km = 2.00 x 10^3 m

F = k * 140.0 * 240.0 / (2.00 x 10^3)^2

F = 1.7 x 10^9 N

So, the electric force on the top charge is 1.7 x 10^9 N.

Explanation:

Which of the following statements is false? Net forces act on the car during intervals A and C. The magnitude of the net force acting during interval C is greater than that during A. No net force acts on the car during interval B. Opposing forces may be acting on the car during interval C. Opposing forces may be acting on the car during interval D.

Answers

The amount of net force acting on an item is equal to the object's mass times its acceleration. An object is not speeding and is said to be in an equilibrium state if there is zero net force acting on it. Thus, option B is correct.

What magnitude of the net force acting during the interval?

The total amount of forces exerted on an object is referred to as its net force. The product of the object's mass and its acceleration gives the amount of net force that is acting on the object.

An object is not speeding and is said to be in an equilibrium state if there is zero net force acting on it. The magnitude of a force is its measurement or intensity. The magnitude of the net force is the resultant force, which is the total of all forces acting on a body.

Therefore, The magnitude of the net force acting during interval C is greater than that during A.

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The amount of net force acting on an item is equal to the object's mass times its acceleration. An object is not speeding and is said to be in an equilibrium state if there is zero net force acting on it. Thus, option B is correct.

What magnitude of the net force acting during the interval?

The total amount of forces exerted on an object is referred to as its net force. The product of the object's mass and its acceleration gives the amount of net force that is acting on the object.

An object is not speeding and is said to be in an equilibrium state if there is zero net force acting on it. The magnitude of a force is its measurement or intensity. The magnitude of the net force is the resultant force, which is the total of all forces acting on a body.

Therefore, The magnitude of the net force acting during interval C is greater than that during A.

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1. To find the value for the permeability of free space, first convert your slope from gauss units to tesla units by using the following conversion (1 gauss = 10?4 tesla). .00035 teslas

Answers

The value for the permeability of free space is 0.00035 tesla.

What  is tesla.

Tesla is a unit of measurement used to measure the strength of a magnetic field. It is named after the Serbian-American inventor and electrical engineer Nikola Tesla. The tesla is defined as the strength of a magnetic field that will induce an electric current of one ampere in one linear metre of a wire when the field is changing at a rate of one weber per second. This unit is used in a variety of applications such as measuring the strength of magnetic fields produced by electromagnets, measuring the strength of Earth’s magnetic field, and measuring the strength of a magnetic field produced by a superconductor. One tesla is equal to 10,000 gauss, which is the magnetic field strength used to describe the Earth’s magnetic field. Lag free is a term used to describe a system that is not subject to delays or pauses.

To convert from gauss units to tesla units, use the conversion factor of 1 gauss = 10^-4 teslas. Thus, the slope of 0.35 gauss is equivalent to 0.00035 teslas.

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know that a mains circuit constant of a one wire,, a neutral wire and a earth wire and explain why a switch must be connected to the line wire for the circuit to be switched off safely

Answers

A switch must be always connected to the circuit to prevent the current through the appliances. Otherwise all the connections goes live.

What is electrical switches ?

Electrical switches are safety devices used to on and off the current flow through the appliances. A switch or a fuse's function is to open or close an electric circuit, however in a home, they must be properly wired.

A switch or a fuse is always attached to the live wire in an electrical circuit to ensure that the socket or appliance is not live when it is shut off.

The electrical appliance is still linked to the high voltage live wire if the switch or fuse is installed in the neutral wire, even if it is open or the fuse has blown. If the user contacted the interior of the device as a result, they may receive an electric shock.

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A 63.0 kg astronaut is at rest in the middle of space. The astronaut throws a spare 10.0 kg oxygen tank in a direction away from the shuttle with a speed of 12.0 m/s. What is the final speed of the astronaut after she throws the oxygen tank?
Show your equation

Answers

In outer space no other force like gravity and friction are nevertheless. The astronaut's final speed with respect to the shuttle after the tank is thrown is 1.9 m/s.

The formula,

Where,
- mass first object = 63.0 kg
- mass ( second object) = 10.0 kg
- Velocity of the first object = ?
- Velocity of the second object = 12.0 m/s
Put the value in the formula,
63 x v1 = 12 x 10
V2 = 1.9m/s

The astronaut's final speed with respect to the shuttle after the tank is thrown is 1.9 m/s


25. The distance between two successive crests in a wave is 1.5 m, and the source generates 50 crests and 25 troughs in 10.0 s. What is the speed of the waves? Please explain to me, Thank You!

Answers

Because the frequencies is the "numbers of waves per second" and the wavelengths is the "distance each wave," multiplying the two results in "distance per second." Dimensional analysis can be used to confirm this.

How can you determine the wave speed?

Wave speed and wavelength are related by the wave speed equations (Speed => Wavelength x Frequency). The wave speed can be determined using this equation if the wavelengths and frequency are known. The numbers of waves that travel each second is known as the wave frequency.

What is the wave example's speed?

The speed of a sea waves is 3 m/s if the wave's crest covers 30 meters in 10 seconds. In contrast hand, if the ocean wave's peak moves 40 meters in ten seconds, then the wave is moving at a pace of 4 meters per second.

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assume that you reduce v0 back to 2 v and switch the trigger polarity switch polarity switch from ""+"" to ""-"" without changing the trigger level dial. what are v and wt when the scope is triggered now?

Answers

When the amplitude of the wave is reduced back to 5V and the trigger slope polarity is switched from '+' to '-', the scope will still trigger at 2.5V. The phase of the wave when the scope is triggered will be changed from 30 degrees to 180-30=150 degrees. So, the values of V and t when the scope is triggered will be V=2.5V and t=150 degrees.

An oscilloscope trigger determines the starting point of the waveform trace on the screen. In this problem, a sine wave with an amplitude of 5V and a frequency of 5kHz is being displayed. The trigger is set to start the trace when the voltage is 2.5V and the phase is 30 degrees. If the amplitude is reduced back to 5V and the trigger slope polarity is switched from "+" to "-", the trigger level remains the same at 2.5V. Hence, the scope will still trigger when the voltage is 2.5V. The phase at which the scope is triggered can be found using the formula for a sine wave and the inverse sine function.

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FILL IN THE BLANK. as the physical spacing of the distance between water molecules changes, the ______ of the water may change too.

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As the physical spacing of the distance between water molecules changes, the density of the water may change too.

A substance's density is determined by how much mass it has per unit of volume. In other words, it is a measure of how much matter is contained in a certain amount of space. The density of a substance can be influenced by various factors, including temperature and pressure. In the case of water, changes in temperature can lead to changes in the physical spacing between water molecules. When water is heated, the individual water molecules begin to move more quickly, which increases the average distance between them. This increase in the space between the water molecules leads to a decrease in the overall density of the water. As a result, hot water is less dense than cold water. Conversely, when water is cooled, the individual water molecules slow down, which decreases the average distance between them. This decrease in the space between the water molecules leads to an increase in the overall density of the water. As a result, cold water is more dense than hot water. In summary, as the physical spacing of the distance between water molecules changes, the density of the water may change too. This relationship between temperature and density is one of the unique properties of water that is critical to many biological and ecological processes.

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the direction of a vector can be different in different coordinate systems. T/F

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The direction of a vector can be different in different coordinate systems. So the statement is true.

The direction of a vector is characterized as the line that goes from the starting point to the terminal point of the vector. In various coordinate frameworks, a similar vector might have different starting and terminal points, and hence, various directions.

The direction of a vector is compared with the coordinate framework used to address it. In this way, a vector might have an alternate direction in one coordinate framework contrasted with another.

The greatness of a vector is a scalar worth that addresses the length of the vector and is free of the coordinate framework used to manage it.

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if you could measure distances over the same range with a single instrument, and the smallest distance you could measure was 1 mm, what would the largest be, in kilometers?

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The largest distance that can be measured with an instrument that can measure a minimum of 1 mm is 0.000001 km x the range of the instrument.

The largest distance that can be measured with an instrument that can measure a minimum of 1 mm is determined by the range of the instrument. If the smallest distance that can be measured is 1 mm, the largest distance that can be measured can be calculated by multiplying the minimum measurement by the number of units in the desired unit.

To convert millimeters to kilometers, divide by 1 million:

1 mm * (1 km / 1,000,000 mm) = 0.000001 km is the largest distance that could be measured.

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