what percentage of the force along the finger is useful in pushing the button?

Answers

Answer 1

66.9% of the force along the finger is used to press the button.

In physics, a force is an influence that can change the motion of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.

To push button F cos 48 force is applied in vertical direction according to figure.

cos 48= 0.66913060635 which is 66.9% of force.

so this makes up 66.9% of force.

66.9% of the force along the finger is useful in pushing the button.

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Related Questions

Three point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic force are acting A.if the charges have different magnitudes and different signs, the system will be equilibrium
B.the system will be in equilibrium if the charges have the same magnitudes but different signs.
C.the system can never be in equilibrium
D.the system will be in equilibrium if the charges rotate about the centre of the triangle.

Answers

The equilateral triangle's corners. The system will be in equilibrium if the charges rotate about the triangle's center, assuming that only electrostatic force is at play.

Where do forces come from?

The interactions of two (or more) things result in forces. Each applies an equal but opposing power to the other. The object is propelled by external forces. The object's overall motion is unaffected by an interior force.

What features does force have?

The characteristics of lines of force are that they begin at a positive charge and end at a negative charge, that they never cross paths with one another, that they are proportional to charge, and that they cannot pass through a conductor.

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Study the graph shown below. It is a graph of velocity vs. time for Jonathan when he is working on a bicycle stunt.



What was his average acceleration during the third acceleration?

Group of answer choices

0.5 m/s2

0 m/s2

1.3 m/s2

−2.5 m/s2

Answers

Velocity can fluctuate in magnitude, direction, or both because it is a vector. Therefore, acceleration is a change in either direction or speed, or both.

What is Average acceleration?

Cosmic rays are subatomic particles that have been accelerated to extremely high energies in active galactic nuclei and supernovas, which are massive stars that explode.

Understanding the mechanisms that accelerate cosmic rays is crucial because these rays contain extremely invasive radiation that can harm spacecraft electronics.

The same direction as the change in velocity is the one in which acceleration is a vector. Velocity can fluctuate in magnitude, direction, or both because it is a vector.

Therefore, Velocity can fluctuate in magnitude, direction, or both because it is a vector. Therefore, acceleration is a change in either direction or speed, or both.

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the scalar value that describes how far an object travels between point a and b

Answers

The distance is a scalar quantity that describes how far an object travels between point a and b.

What is the distance scalar?

Distance is not a vector quantity, instead it is a scalar quantity having simply magnitude. It implies that only the size of the distance travelled is taken into consideration when an object travels, regardless of its direction.

What in physics is a scalar value?

A scalar is a physical quantity whose magnitude is a complete description of it. Volume, density, speed, energy, mass, and time are a few examples of scalars. Scalar quantities can be represented by their size or magnitude and do not require any other information.

What is the value of the vector?

A physical quantity that includes both directions and magnitude is known to as a vector quantity. A letter script with a "hat" circumflex, such as "û," is used to represent a vectors with a value equal to one. This form of vector is termed as a unit vector.

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The scalar value that describes how far an object travels between point a and b is the distance, which is a scalar quantity.

What is  scalar quantity ?

A scalar quantity is a physical quantity that is completely described by a magnitude or numerical value. It does not have any direction or orientation associated with it and is completely independent of the coordinate system used. Examples of scalar quantities include temperature, mass, volume, speed, energy and time. Scalar quantities are represented mathematically by real numbers and are usually denoted using lowercase letters.

It is defined as the absolute value of the difference between the two points and is measured in units such as meters, feet, or kilometers. Distance is a measure of length and does not take into account direction or any other factors, like time.


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if v in r 3 and v · v = 0, then v is the zero vector. is it true or false? explain your answer.

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The statement, v in r 3 and v · v = 0, then v is the zero vector, is true.

In linear algebra, a vector v in R^3 (which means a 3-dimensional real vector space) is said to be a zero vector if all its components are equal to zero. This vector is also known as the null vector or null element and is denoted by the symbol 0.

The dot product of two vectors, denoted by v · v, is a scalar quantity that measures the cosine of the angle between two vectors. If the dot product of a vector with itself is equal to zero, it means that the cosine of the angle between the two vectors is zero, which implies that the two vectors are orthogonal (i.e., they are at right angles to each other).

Therefore, if v · v = 0, it follows that the vector v is orthogonal to itself, which is possible only if all its components are equal to zero. Hence, in this case, v must be the zero vector.

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7. The separation of white light into colors is called.
prism
dispersion
spectrum
reflection

Answers

Answer:

Dispersion

Explanation:

The separation of white light into colors is called dispersion. Colors dispersed vary in size of wavelengths, deviation and speeds. Together, they form white light.

which two planets have the most known moons orbiting it?

Answers

Saturn and Jupiter have the most known moons orbitting it.

Saturn has more moons than Jupiter does. According to US experts, Saturn has recently surpassed Jupiter as the planet with the most moons. The number of moons around the ringed planet has increased by 20, increasing the total to 82; Jupiter has 79 natural satellites. Using the Subaru telescope on Maunakea in Hawaii, the moons were found.

Because of Saturn's orbital distance from the Sun, ice turns into a significant supply of planet-building materials. Greater planet-building resources also mean more resources for constructing moons around those planets. The majority of Saturn's moons and rings are made of ice.

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what length of a cylindrical piece of tungsten wire having a radius of 3.79 mm has a mass of 39.7 g? the density of tungsten is 19.25 g/cm3 and volume = πr2h.

Answers

The length of the tungsten wire is 13.7 cm.

To find the length of the tungsten wire, we need to first find its volume. We know the density of tungsten, which is 19.25 g/cm³, and the mass, which is 39.7 g. We can use the formula for the volume of a cylinder, which is πr²h, where r is the radius and h is the height (which is equal to the length of the wire in this case).

First, we'll find the volume:

V = πr²h

V = π (3.79 mm)²h

V = 11.05 mm³h

Next, we'll convert the volume to cubic centimeters (cm³):

11.05 mm³ = 11.05 x 10^-9 cm³

Now that we have the volume in cm³, we can use the density formula to find the mass:

m = ρV

m = 19.25 g/cm³ x 11.05 x 10^-9 cm³

m = 0.2103 g

Finally, we'll use the mass and density to find the length:

m = ρV

0.2103 g = 19.25 g/cm³ x V

V = 0.2103 g / 19.25 g/cm³

V = 0.0109 cm³

And since the volume is equal to πr²h, we can find the height (which is the length of the wire) by rearranging the formula:

V = πr²h

h = V / πr²

h = 0.0109 cm³ / π (3.79 mm)²

h = 13.7 cm

So the length of the tungsten wire is 13.7 cm.

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How much is 9 degrees Celsius in Fahrenheit?

Answers

9 degrees Celsius is 41 degree Fahrenheit

What does  "temperature" mean?

Temperature is a unit used to represent hotness or coolness on any of a number of scales, including Fahrenheit and Celsius. Most places in the globe measure temperature using the Celsius system (°C). The boiling point of water is 100 °C, and its zero point is the freezing point of water, both at atmospheric pressure at sea level. This scale is empirical and was historically constructed. Because of the 100-degree interval, it was given the name centigrade scale. Since the kelvin was standardized in the International System of Units, it has been redefined in terms of the equivalent fixing points on the kelvin scale.

As a result, an increase in temperature of one degree Celsius is equivalent to an increase of one kelvin, even though the scales are numerically offset by precisely 273.15. In the US, people frequently utilize the Fahrenheit scale. At air pressure equal to that at sea level, water freezes at 32 °F and boils at 212 °F.

°C + 32 is  °F

So 9°C will be 41°F

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the brakes of a car are applied when it is moving at 110 km/h and provide a constant deceleration of meters per second per second (). how far does the car travel before coming to a stop?

Answers

The required distance car travels in a constant deceleration before coming to a stop is 46.70 m.

The speed of the car is given as 110 km/h.

Deceleration of the car is said to be 10 m/s².

⇒ a = - 10 m/s²

Let us convert km/h to m/s.

110 km/hr = 110 × 5/18 = 30.56 m/s

Initial velocity of the car u = 0 m/s

Now, to find out distance, let us pick the correct equation of motion which suits the information about the car.

v² - u² = 2 a s

where, v is final velocity

u is initial velocity

a is acceleration

s is distance

So, putting the known values into the above equation, we have,

v² - u² = 2 a s

(30.56)² - 0 = 2 × (-10) × s

-20 s = 933.91

s = -46.70 m

Negative sign indicates that the motion is in opposite direction.

Thus, the required distance car travels before coming to a stop is 46.70 m.

The question is incomplete. The complete question is 'The brakes of a car are applied when it is moving at 100 km/h and provide a constant deceleration of 10 meters per second per second (m/s2). How far does the car travel before coming to a stop.'

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What is open circuit output?

Answers

Answer:

A circuit in which the continuity is broken due to which the electric current can not flow is known as the open circuit. In an open circuit, the current flowing is zero, thus no power dissipates from an open circuit.

Explanation:

You're welcome.

A unipolar output whose sole connection to a supply voltage is made by an active component, often a transistor, within the integrated circuit is termed as the open circuit output.

What is defined as the open circuit output?

When the active device is turned on, the output voltage reaches the supply voltage to which it is connected (via into the active device);

because when device is turned off, the output impedance for any other integrated circuit terminal is high, and the output voltage is ascertained by external circuit that the output is connected.

Output are typically categorized in accordance with the name of the active device component within in the integrated circuit to which they are attached, for example, open-collector output, expansive output, etc.

Thus, a unipolar output whose sole connection to a supply voltage is made by an active component, often a transistor, within the integrated circuit.

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if your tape pieces stop attracting or repelling each other, you should...

Answers

Due to the identical charge on both pieces of tape  repel , they will repel one another.

How is tape used?

A coating of an adhesive comprised of big molecules known as polymers is applied to pressure-sensitive adhesive tapes. These substantial polymers expand out when the tape is pressed against a surface. The interaction and bonding between the surface and the spread-out glue now makes the tape adhere.

What advantages does tape offer?

The longest-lasting magnetic medium in the IT sector is tape, which has a variety of advantages over rotating drum and flash technology. Cost and capacity are two of these. Once set up, a tape network is inexpensive to run and simple to expand. Tape is now almost as simple to use as NAS since it integrates directly with file systems

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A 15-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 4 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 12 feet from the wall?.

Answers

At the instant when the bottom of the ladder is 12 feet from the wall, the area of the triangle is decreasing at a rate of 30 square feet per second.

The area of the triangle is equal to 1/2 the product of the height of the wall and the distance from the bottom of the ladder to the wall. If the height of the wall is h and the distance from the bottom of the ladder to the wall is x, then the area of the triangle is:

A = 1/2 * h * x

Differentiating with respect to time t, we can find the rate of change in the area:

dA/dt = 1/2 * dh/dt * x + 1/2 * h * dx/dt

At the instant when the bottom of the ladder is 12 feet from the wall, h = 15 feet and x = 12 feet, so dh/dt = 0 (the height of the wall does not change with time) and dx/dt = -4 feet/second.

Plugging in these values gives:

dA/dt = 1/2 * 0 * 12 + 1/2 * 15 * -4 = -30 square feet per second

So, at the instant when the bottom of the ladder is 12 feet from the wall, the area of the triangle is decreasing at a rate of 30 square feet per second.

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1. how long does it take light to travel from a. the moon to the earth? (data: earth-moon distance = 384,000 km) b. the sun to the earth? (data: earth-sun distance = 149,600,000 km)

Answers

The time taken by the light to travel from the moon to the earth is 1.28 s and from the sun to the earth is 499.01 s.

We know that, speed of light is constant everywhere.

Its value is 299,792,458 m/s.

Converting into km/s, we have,

⇒ 299,792,458/1000 = 299,792.458 km/s

As the distance between moon and earth is 384000 km.

The time taken by light to travel the above distance is,

⇒ 384000/299,792.458 = 1.28 s

The sun and the earth are separated by 149600000 kilometres.

The time taken by light to travel the above distance is,

⇒ 149600000/299,792.458 = 499.01 s

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what is the physical meaning of the slope physics pressure vs depth

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The local fluid density is what the slope of the pressure versus depth graph in physics physically means.

According to fluid physics, a fluid's density and gravitational acceleration at a given depth are directly inversely related to that fluid's pressure. An illustration of this relationship can be seen as a pressure versus depth plot, where the slope of the line corresponds to the density of the local fluid. In other words, the fluid density is higher the steeper the slope is, and vice versa. Understanding the behaviour of fluids in different real-world applications, such as drilling for oil and gas in the ocean, depends on this relationship. One can determine the local fluid by measuring the depth and pressure.

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a −50 nc charge is placed at the origin of a coordinate axis. what is the magnitude and direction of the electric field at the points:

Answers

The magnitude of the electric field is E = 8.99 * 10^9 * (-50 * 10^-9) / x^2. The direction of the electric field at any point x is towards the origin.

The electric field at points on the x-axis due to a -50 nC charge placed at the origin is directed towards the origin, and its magnitude is given by => E = k x q / r^2,

here k is the Coulomb's constant (k = 8.99 * 10^9 Nm^2/C^2),

q is the magnitude of the charge (-50 nC),

and r is the distance from the origin.

At any point x on the x-axis, the magnitude of the electric field is

=> E = 8.99 x 10^9 x (-50 x 10^-9) / x^2.

The direction of the electric field at any point x is towards the origin.

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If a negatively charged particle is placed at rest in an electric potential field that increases in the positive x-direction will the particle
A) accelerate in the positive x-direction
B) accelerate in the negative x-direction
C) remain at rest

Answers

If a negatively charged particle is placed at rest in an 'electric potential field' that increases in the positive x-direction then the particle will B: accelerate in the negative x-direction.

In an electric potential field, a negatively charged particle experiences a force in the direction of decreasing electric potential. The electric potential increases in the positive x-direction, meaning the electric potential decreases in the negative x-direction. Therefore, a negatively charged particle placed in this field will experience a force in the negative x-direction and thus accelerate in the negative x-direction.

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PLEASE HELP ME!!
Question in image.

Answers

The fill in the gap answer is given below:

   From there, it is pumped to the lungs through two vessels called the pulmonary arteries.

   These arteries are an exception to the rule since they carry oxygenated blood to the lungs.

   Gas exchange occurs in the lungs at the alveoli.

   Blood enters the left atrium of the heart.

Blood must be distributed to all of the body's cells (1). Oxygen first enters the body when inhale (2). Oxygen is carried by red blood cells (3). Deoxygenated blood travels through the vena cava (4) to the right atrium (5) of the heart. It first enters the right ventricle (6), and is pumped to the lungs for gas exchange (7), where oxygen is taken in and carbon dioxide is expelled.     From there, it is pumped to the lungs (8) through two vessels called the pulmonary (9) arteries. 10 Oxygenated blood to the Body(11), 12 Gas exchange occurs in the lungs at the Alveoli 13,    From the lungs, 14. oxygenated blood travels through the 15. pulmonary veins, and enters the 16. left side of the heart. This is also an exception to the rule as these veins carry 17. oxygenated blood to the heart. 18. Oxygenated blood first enters the 19. left atrium, then moves to the 20. left ventricle, Then it is pumped out through the aorta (21) onto the body (22) and distributed to the cells body (23).

What is blood?

Blood is a bodily fluid that circulates through the circulatory system of an organism, carrying oxygen, nutrients, hormones, and waste products to and from the cells. Blood is made up of red and white blood cells, platelets, and plasma. Red blood cells are responsible for carrying oxygen, while white blood cells help the body fight infections and diseases.

Therefore,  Platelets play a role in blood clotting, and plasma is the fluid portion of blood that contains proteins and other substances. Blood plays a vital role in maintaining the health and well-being of an organism.

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See transcribed text below

Directions: Summarize how blood travels throughout the body using the following terms

and the sentence frames below. Each word should be used just once.

capillaries blood  venacava left  oxygen heart  upper

eftatrium  oxygenated  lungs  pulmonary  right atrium  deoxygenated

red blood cells  inhale  pulmonary  right ventricle lungs lower  Gas exchange

ventricle  oxygenated  aorta

1 must be distributed to 2l of the body's cells, Oxygen first

enters the body when | 2 Oxygenis carried by 3,

inthe 4. Deoxygenated blood travels through the inferior and superior

5 Itfirst enters the 6. . and is pumpedto the

T From there, it is pumped to the 8 through two vessels

called the 9. areries. These arteies are an exception to the rule

since they carry 10 bloodtothe

1 2 occurs inthe lungs at the 13,

From the lungs, 14. blood travels through the

15. veins, and enters the 16. side of the heart. This is also

an exception to the rule because these veins carry 17. bloodtothe

18, Oxygenated blood frstenters the 19, then moves to the left

2 Then itis pumped out through the 21 ontothe

2 and 23 body

Our atmosphere developed as a result of volcanic eruptions, why aren't there higher traces of atmospheric carbon dioxide, one of the principal volcanic gases?

Answers

Large quantities of dust from the volcanic eruption's surrounds are released into the atmosphere. Materials like volcanic ash and gases also accompany eruptions.

These gases make a significant contribution to the atmospheric greenhouse gas inventory.

Volcanoes' explosivity during eruptions is mostly caused by the gases inside of them. A volcano might be more explosive the more gases it contains. There is a lot of carbon dioxide, methane, etc. in these gases. They are overwhelmingly greenhouse gases.

An eruption is also accompanied by dust particles. The wind has the ability to hang this particles for a long time in the sky.

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A mack truck and a volkswagen traveling at the same speed have a head-on collision. The vehicle that undergoes the greatest change in velocity will be the.

Answers

The vehicle that undergoes the greatest change in velocity will be the Volkswagen.

In a head-on collision, the vehicle with the smaller mass will undergo the greatest change in velocity. This is because the momentum of an object is equal to its mass times its velocity, and the total momentum of the system must remain constant according to the law of conservation of momentum.

Since the Volkswagen has a much smaller mass than the Mack truck, it will experience a much larger change in velocity compared to the truck. This means that the Volkswagen will come to a stop much more quickly and with a greater force than the Mack truck. The outcome of the collision will depend on various factors such as the speed of the vehicles, the mass of the vehicles, and the material properties of the vehicles.

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There are __________ paired and __________ unpaired electrons in the lewis symbol for a chlorine atom.

Answers

In the Lewis symbol for a chlorine atom, there are 2 paired and 3 unpaired electrons.

A Lewis symbol (also known as a Lewis dot diagram) is a way to represent an element in the periodic table by showing the number of valence electrons in the element. The Lewis symbol consists of the chemical symbol of the element surrounded by dots, where each dot represents a valence electron. The arrangement of dots around the symbol represents the electron configuration of the element in its neutral state. The number of valence electrons can be determined from the position of the element in the periodic table, and the arrangement of dots around the symbol helps to show the reactivity of the element and its ability to form chemical bonds with other elements.

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How to Convert Calories to Joules?

Answers

The amount of energy needed to raise the temperature of 1 gramme of water by 1 degree Celsius is known as a calorie.

4.184 joules are needed to equal one calorie.

What is Joule?

The work performed when a force of one Newton is exerted over a distance of one metre is equal to one joule, which is the SI unit of energy. It corresponds to the energy that is transmitted to an item when a force of one Newton is applied to it over a one-meter distance.

How do you determine it?

Calories are easily converted to joules using a simple formula.

Increase the number of calories by 4.184 to convert them to joules. For instance, multiplying 100 calories by 4.184 to get 418.4 joules is one way to convert calories to joules.

There are two different kinds of calories: little calories and huge calories. Large calories, also known as kilocalories, are the units used in food science and the study of thermodynamics. Small calories, also known as gramme calories or just calories, are the units used in nutritional labelling.

The number of kilocalories is simply multiplied by 4184 to convert huge calories to joules.

To convert 1 kilocalorie to joules, for instance, multiply it by 4184, which will result in 4184 joules.

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how are the borders of the earth’s tectonic plates defined?

Answers

Three types of plate motion are convergence, divergence, and transformation. Convergence is the movement of plates into one another; divergence is the movement of plates apart.

In what ways do tectonic systems differ?

Three different types of continental boundaries are produced by the movement of the plates: convergent boundaries, where plates move toward one another; divergent boundaries, whereby plates move apart; & transform boundaries, where plates move laterally with respect to one another.

What is tectonic's equivalent in Greek?

Greek term tekton, which means builder, is the origin of the word "tectonics." The deformation of the lithosphere, or solid portion of the earth's crust, is a subject of study in the science of geology, including both its causes and effects.

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Consider a comet which passes through its aphelion at a distance r_max from the sun. Imagine that, keeping r>max fixed, we somehow make the angular momentum l smaller and smaller, though not actually zero; that is, we let l ---> 0. Use equations (8.48) and (8.50) to show that is this limit the eccentricity epsilon of the elliptical orbit approaches 1 and that the distance of closest approach r_min approaches zero. Describe the orbit with r_max fixed but l very small. What is the semimajor axis a?

Answers

The orbit with r_max fixed but l very small is a parabola. The semimajor axis a is r_max.

What is the orbit ?

An orbit is the path of a celestial object or spacecraft around a star, planet, or moon. The path is usually elliptical in shape, and a celestial object's orbital speed varies depending on its distance from the central body. An object's orbital period, or the amount of time it takes to complete one full orbit, is determined by the size of its orbit and its distance from the central body. The gravitational force of the central body affects the path of an object's orbit, and the orbital speed of the object is determined by the gravitational force and the distance of the object from the central body.

Using equations (8.48) and (8.50), we can rewrite the eccentricity of the elliptical orbit as:

\epsilon = \sqrt{1 + \frac{2l^2}{\mu r_{max}^2}}

In the limit l --> 0, the eccentricity approaches 1 and the distance of closest approach r_min approaches zero.

The orbit with r_max fixed but l very small is a parabola. The semimajor axis a is r_max.

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According to Coulomb's law, charges of larger magnitude interact stronger than those of smaller magnitude. Is this true or false?

Answers

The given statement 'According to Coulomb's law, charges of larger magnitude interact stronger than those of smaller magnitude' is true.

"According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them."

Mathematically, it is given as, F = 1/4π∈₀k (q₁q₂/d²)

where, ∈₀ is the permittivity of free space

k is relative permittivity

q₁, q₂ are charges

d is the distance

The law only applies to point charges that are at rest. It is difficult to implement Coulomb’s law where charges are in arbitrary shape because in such cases, we cannot determine the distance between the charges.

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___is the ability to do work, have power or produce change.

Answers

Heat is the capacity to perform tasks, wield power, or effect change.

The vibrations of molecules or atoms increase as a body's temperature rises. From one area of the body to another, these vibrations are then transmitted. The amount of energy that a system's molecules vibrate with is referred to as its stored heat.

The flow of heat energy is in the direction of moving from a substance with a higher temperature to one with a lower temperature. This is due to the fact that faster-vibrating molecules pass their energy on to slower-vibrating ones.

Its heat content is another name for the vibrational energy. The body is either hot or cold depending on its level of heat. The body will become hotter as the heat content increases.

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How is a Tan function represented on a unit circle?

Answers

The tangent function can be represented on a unit circle by mapping an angle in the circle to the ratio of the y-coordinate to the x-coordinate of the point on the circumference that corresponds to that angle. This ratio is the required tangent of the given angle.

What is Tangent?

The tangent is a mathematical function that describes the ratio of the length of the side opposite a given angle in a right triangle to the length of the adjacent side. It is represented by the symbol "tan" and is defined for angles in trigonometry. It is used to describe relationships in mathematics, science, and engineering.

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The physical environment (for example, our living spaces) that we, as individuals, create __________________. A. Is unrelated to our communicationb. Reveals information about ourselvesc. Is a minor aspect of communicationd. Helps to build relationships.

Answers

The correct option is (b) reveals information about ourselves. The physical environment (for example, our living spaces) that we, as individuals, create "reveals information about ourselves".

The physical environment can be used to reveal our thoughts, emotions and beliefs. It can also be used to reveal our hidden secrets and mysteries. To be effective in life, we must be aware of the physical environment in which we live.

This awareness can be used to our advantage or against us. For example, if we don't know the floor plan of our home, we may not be aware of the potential dangers that may lurk there. Likewise, we are less likely to respond appropriately to an uncomfortable situation when we are unaware of the emotions around us.

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Steelhead trout migrate upriver to spawn. Occasionally they need to leap up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8. 0 m/s.

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The statement is correct. Steelhead trout are capable of jumping at a speed of 8.0 m/s, which allows them to clear small waterfalls during their upstream migration to spawn.

Steelhead trout are fish species that migrate upstream to reproduce. During their journey, they may encounter small waterfalls that they need to overcome to continue their migration. Steelhead trout have a remarkable jumping ability, which allows them to leave the water at a speed of 8.0 m/s. This is a key adaptation that enables steelhead trout to overcome obstacles and complete their journey to reproduce. Steelhead trout are also known for their strong swimming ability, which helps them navigate upstream and find suitable spawning grounds. These adaptations make steelhead trout well-suited to their freshwater environment and contribute to their success as a species.

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two cars are driving towards an intersection from perpendicular directions. the first car's velocity is 2 22 meters per second and the second car's velocity is 9 99 meters per second. at a certain instant, the first car is 8 88 meters from the intersection and the second car is 6 66 meters from the intersection. what is the rate of change of the distance between the cars at that instant (in meters per second)?

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The rate of change of distance between the two bodies is -7m/s

Given:

The first car's velocity is 2m/s

The second car's velocity is 9m/s.

At a certain time, the first car is 8m from the intersection

And at the same time, the second car is 6m from the intersection.

The rate of change of distance, i.e dx/dt, which is the speed of the car.

Using Pythagoras' theorem, their distance apart is given as

Z²=X²+Y²

Z²=6²+8²

Z²=36+64

Z²=100

Z=√100

Z=10m

Let's assume the direction,

Let's assume the first car is moving in the positive x direction, then

dx/dt=2m/s

And also the second car will be moving in a negative y direction

dy/dt=-9m/s

Now, to know dz/dt, let's use the Pythagoras formulae above

x²+y²=z²

differentiate with respect to t

[tex]2dx/dt+2dy/dt=2dz/dt\\Divide through by 2\\dz/dt=dx/dt+dy/dt\\dz/dt=2-9\\dz/dt=-7m/s[/tex]

What is the Pythagorean theorem theory?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

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a long, straight uniformly charged wire has a net charge per unit length of 1.95 coulombs/meter. what is the magnitude of the electric force in newtons exerted by this wire on a proton that is located a perpendicular distance 8.14 meters away from the wire?

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The electric force exerted by the wire on a proton is 6.89 × 10⁻¹⁰ N.

Given,

Charge per unit length(λ) = 1.95 C/m

And perpendicular distance (r) = 8.14 m

We know that Force exerted by the wire on a charged particle is:

F = qE

Where [tex]E = \frac{\lambda}{2 \pi \epsilon_{0}r}[/tex] (Electric field of an infinitely thin wire)

and q = 1.6 × 10⁻¹⁹ C

So, [tex]F = \frac{q\lambda}{2\pi\epsilon_0r}[/tex]

[tex]\implies F = \frac{1.6 \times 10^{-19}\times 1.95}{2\pi\times 8.85 \times 10^{-12}\times 8.14}[/tex]

⇒ F = 6.89 × 10⁻¹⁰ N

Therefore the electric force exerted by the wire on a proton is 6.89 × 10⁻¹⁰ N.

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