A car travels 20 km north. It then turns around and travels 30 km south. What is the car's displacement? 50 km south 10 km south 10 km north 50 km north

Answers

Answer 1

Answer:

Gehwywtwhay4wjwjgw6y 26526wisgeu3bjzx


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A jogger takes 3.5 min to run once around a square block that is 220 m on each side. What is the jogger’s average velocity?

Answers

Answer:4.2 miles/hour

Explanation:

220 each side = 880 meters total

880/3.5 = 251 is how many meters per minute

multiply by 60 to get per hour

which adc compares a known voltage to the unknown measurement voltage, continually adjusting the known voltage until its value equals that of the unknown measured value.

Answers

You should also be familiar with the term "reference voltage," which is significant. A known voltage, referred to as the Reference voltage, is compared against an unknown voltage during an ADC conversion to determine its value.

What is reference voltage?

An electrical device called a voltage reference produces a fixed voltage in the ideal case regardless of the device's load, changes in the power source, changes in temperature, or the passage of time.

When conditions like source voltage or ambient temperature fluctuate, a voltage reference is a precision device created especially to keep the output voltage constant.

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Here is another extremely hard question you do not want to be faced with. Is there life after death? From today till the next hundred days to come, almost every (if not all) living persons now would be dead. Death is an inescapable event which no history has survived. So, people have come to accept the inescapable fate of a living thing which is death. Now, after one’s life has ceased here on earth, does another life begin elsewhere?

Answers

The existence of an afterlife or life after this one is uncertain.

Explanation:

Wether you're reincarnated or your soul is transported to another plane of existence, such as heaven or hell for example, is uncertain. For all we know we could just cease to exist. We are born to die. And we will not know what happens once we die until we die.

Then again, there are people who die and then are resurrected. Some say there was nothing, others say there was something. We will not know until we experience death ourselves.

use the above information to answer the questions, Run 1 Distance between the intervals position (m) AB= 1,3 BC=1,3 CD 1,3 DE = 1,3 EF = 1,3 Perioel (P)=1/25×5 =0,2sec Run2 Distance between the intervals position (m) AB= 1,5 BC = 1,8 CD = 2 DE 2,2 EF=2,4 Draw a graph of position versus time for 2.1 Run 1 2.2 Run 2​

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Using the charter system conversation in the right angled value triangle we apply distance formula and get the G-plot value of 9.876 u.

How is position determined in velocity - time?

The movement in a graph is determined through the two perpendicular axis in which the first coordinate represents the distance to be traveled in the x axis and the second coordinate shows the distance to be traveled in the y axis .

What is distance formula ?

If you want to determine the distance between any two point in a graph the distance formula is used in such case the distance formula is applied like Pythagoras theorem.

Given:

A (1,3)

Period = 0.2 seconds

B (1,5)

Period = 0.5 seconds

Before applying distance formula we need to simplify the given value into charter system.

Where,

A become a substituted value for the argument of square on the basic structure.

Since A symmetrical is that of right angled triangle we can use the basic charter values.

Therefore A now become A(π,2)

Similarly B become B(e,nπ)

Using distance formula to find the graph plot we get:

AB = 5.6π - e×3.14

AB = 9.876

where AB is the distance between A and B.

Therefore using the charter system conversation in the right angled value triangle we apply distance formula and get the G- plot value of 9.876 u.

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2.4.3 Test (CST): Get Your Motor Running
Question 14 of 25
When drawing a vector, you should represent the magnitude of the vector by
the length of the arrow.
O
O
A. True
B. False
SUBMIT

Answers

Answer:   True

Explanation:

When drawing a vector, you should represent the magnitude of the vector by the length of the arrow is true.

What are vectors?
The term "vector" in mathematics and physics is used informally to refer to some values that cannot be stated by a single integer (a scalar) or to certain members of vector spaces. In the past, vectors were first used to represent quantities with both a magnitude and a direction, such as displacements, forces, and velocity, in geometry and physics (usually in mechanics). Similar to how distances, masses, and time are represented by real numbers, these quantities are represented by geometric vectors.

In some circumstances, tuples—finite sequences of numbers with a definite length—are sometimes referred to as vectors.

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the process by which the lens changes shape to focus incoming light so that it falls on the retina is called: question 22 options: 1) proprioception. 2) transduction. 3) visual accommodation. 4) visual adaptation.

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The process by which eye lens changes its shape to focus the incoming light on retina is called Visual accommodation.

Accommodation - Accommodation is the ability of the eye to change the focal length of the lens by changing its curvature , to see the distant and the nearer object .

To focus on the distant objects - When object is placed at distance, ciliary muscles of eye  get relaxed and pull the suspensory ligament attached to lens ,by this eye lens become thin and focus the distant object on retina.

To Focus on nearby objects - When the object is placed nearby, ciliary muscles of eye get contract and make the suspensory ligament loose , it squeezes the eye lens into a more convex shape and focus the nearby object.

The process by which the lens changes its shape to focus incoming light. so that it falls on the retina is called Visual accommodation.

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if an object is speeding​ up, . its acceleration is positive its acceleration can be positive or negative depending on the direction of motion its acceleration is negative

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If an object is speeding up its acceleration can be positive or negative depending on the direction of motion.

What is positive and negative acceleration?

According to mathematics, a negative acceleration indicates that the velocity will be subtracted, while a positive acceleration indicates that the velocity will be increased.

In physics,

A positive acceleration indicates a rising velocity over time.

Negative acceleration describes a speed decrease over time.

A bus or car going at an accelerating rate is said to have positive acceleration.

We may say that it is speeding up in the direction it is moving.

When we use the brake in the previous example, the speed of the car reduces.

Then it experiences a deceleration.

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a piano wire with mass 3.50 g and length 75.0 cm is stretched with a tension of 27.0 n . a wave with frequency 120 hz and amplitude 1.70 mm travels along the wire.

Answers

The average power carried by the wave is 0.29 W

We know that,

[tex]P_{avg}[/tex] = [tex]\frac{1}{2}[/tex] ω² A²√ ( μ F )

ω = 2 π f

μ = m / l

where,

[tex]P_{avg}[/tex] = Average power

ω = Angular speed

A = Amplitude

μ = Linear mass density

F = Tension

f = Frequency

m = Mass

l = Length

Given that,

m = 3.5 g = 0.0035 kg

l = 75 cm = 0.75 m

F = 27 N

f = 120 Hz

A = 1.7 mm = 1.7 * [tex]10^{-3}[/tex] m

μ = m / l = 0.0035 / 0.75

μ = 4.67 *  [tex]10^{-3}[/tex] kg / m

ω = 2 π f = 2 * 3.14 * 120

ω = 754 [tex]s^{-1}[/tex]

[tex]P_{avg}[/tex] = [tex]\frac{1}{2}[/tex] ω² A²√ ( μ F )

[tex]P_{avg}[/tex] = [tex]\frac{1}{2}[/tex] ( 754 )² ( 1.7 * [tex]10^{-3}[/tex] )² √ ( 4.67 *  [tex]10^{-3}[/tex] * 27 )

[tex]P_{avg}[/tex] = ( 821.5 * [tex]10^{-3}[/tex] ) √ 0.126

[tex]P_{avg}[/tex] = 821.5 * [tex]10^{-3}[/tex] * 0.36

[tex]P_{avg}[/tex] = 0.29 W

Average power is the measure of total work done by the body in a given amount of time.

Therefore, the average power carried by the wave is 0.29 W

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On halloween, you take a glow stick, crack the capsule inside and shake it until it glows. This is an example of light energy being transformed from which type of energy?.

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When you take a glow stick, crack the capsule inside and shake it until it glows, is an example of light energy being transformed from chemical energy

Glow sticks are sticks that contain chemical components inside and when they are mixed, provide a fluorescent glowing effect.

To achieve the reaction, two basic components are needed: the activator (hydrogen peroxide) which determines the intensity and duration of the glow, and a phenyl oxalate ester together with a fluorine dye which gives the color.

At the beginning the fluorescent stick is not active because both liquids are separated, one is inside a sealed glass ampoule and the other is around the small tube, both inside the plastic cover.

When the glow stick is cracked, the glass rod breaks releasing the oxalate, this mixes with the peroxide generating a chemical reaction that is what creates that glows effect.

What is chemical energy?

Chemical energy is the energy that manifests itself in certain chemical reactions where chemical bonds are formed or broken.

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One fitness magazine suggested that the food that you eat is like a battery because it has energy. Do you think that the banana that Mila ate had energy? Explain why you think this.

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When food is kept in storage, it has chemical energy as potential. Chemical energy in food is transformed into fuel for our bodies when a person eats it.

Thermal energy, which keeps us warm, is the fuel for our bodies. \

When a human moves, the chemical energy is also transformed into motion. Kinetic energy is the movement.

Because food gives the human body the chemical energy it needs to carry out its daily tasks, the fitness magazine made the comparison between food and a battery in this instance.

The banana is a fruit that contains a lot of carbohydrates and fructose. Because of this, it is a great food to eat before exercise because it gives the muscles the chemical energy they need to perform better both before and after exercise.

The banana is also high in potassium, magnesium, phosphorus, and vitamins a and c, which gives it more strength and energy.

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An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees the car, the locomotive is 380 m from the crossing and its speed is 24 m/s. If the engineer’s reaction time is 0.66 s, what should be the magnitude of the minimum deceleration to avoid an accident? Answer in units of m/s 2 .

Answers

the magnitude of the deceleration needed to avoid the accident is –0.55 m/s²

Animals often use more than one type of clue to help them navigate. These clues include a sense of smell ('olfaction') and remembering landmarks as well as using the Sun or the Earth's magnetic field. Suggest why an animal might use more than one type of clue to find its way.


Answer pls, will give 30 points.

Answers

Finally, they rely on a variety of environmental cues such as the length of the day, the Sun's position and angle in the sky, water salinity and temperature gradients, and the Earth's magnetic field. They do this to navigate effectively.

What is animal navigation?

Animal navigation refers to the ability of many animals to find their way around without the use of maps or instruments.

Birds like the Arctic tern, insects like the monarch butterfly, and fish like salmon migrate thousands of miles to and from their breeding grounds on a regular basis, and many other species navigate effectively over shorter distances.

Several animal species can use a variety of cues to help them orient and navigate effectively. Insects and birds can identify where they are and navigate by combining learned landmarks with sensed direction (from the earth's magnetic field or from the sky).

Thus, this is why an animal might use more than one type of clue to find its way.

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according to the classification system in chapter 2, the information about how to make a microwave oven would be classified as , whereas a microwave oven would be classified as .

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The area of the kitchen counter and the space needed for the microwave oven.

What is a microwave oven?

The term "microwave oven" refers to an electric oven that cooks and warms food using electromagnetic radiation with a microwave frequency range. Dielectric heating is used to heat the meal as a result, which allows the polar molecules to rotate and release heat energy. Microwave ovens heat food quickly and efficiently because excitation is rather homogenous in the outer 25–38 mm (1–1.5 inches) of a homogeneous, high water content food item.

A variety of dishes can be cooked in the ubiquitous microwave oven, which can also be used to reheat previously prepared food.

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sketch the corresponding velocity va time and acceleration va time graphs from the position vs time graphs

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The corresponding velocity vs time and acceleration vs time graphs from the position vs time graphs are given below,

What are velocity vs time graphs ?

The speed-time graph: A plot between speed and time is called a velocity-time graph. It depicts the motion of an object moving straight ahead. At any given time, the magnitude of velocity equals its instantaneous speed. Only 1-D motion is intended for its drawing, which accepts positive and negative values.

What are acceleration vs time graphs ?

Acceleration-Time For a particle travelling in a straight path, the acceleration is displayed against time in the graph. The acceleration-time depicts time and acceleration values on the x and y axes, respectively.

What are position vs time graphs ?

An object's distance from its beginning position at any given moment since it began moving is displayed on a position-time graph. The greater the slope of the line and the faster the object's speed changes, the steeper the line is. More location vs. time graph illustrations can be found in this two-part video series.

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a piece of clay adheres to the outer edge of a wheel of radius 0.700 m. the wheel rotates at a constant rate of 230 rev/min. what is the speed (in m/s) of the piece of clay? m/s

Answers

The speed (in m/s) of the piece of clay is 15.394 m/s

a = 338.527 m/[tex]s^{2}[/tex]

The rate at which an object's velocity with respect to time changes is referred to as acceleration In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction).

The direction of the net force acting on an object determines the direction of its acceleration.

Is a vector an acceleration?

Yes, since it has both magnitude and direction, acceleration is a vector. The acceleration's magnitude and direction indicate whether or not the object is traveling faster in the same direction as it is being moved. This is an example of both acceleration and deceleration.

Acceleration is the process through which an object's speed changes over time, whereas velocity is the rate at which that object is traveling in a specific direction.

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If a trapeze artist rotates once each second while sailing through the air and contracts to reduce her rotational inertia to one-third of what it was, how many rotations per second will result?.

Answers

The rotations per second will triple and she will rotate thrice per second.

The rotation of the trapeze artist is not influenced by any external forces or torques during the motion.Therefore, her total rotational momentum ([tex]I \omega[/tex]) should be conserved throughout the motion or during a transition.This question checks your primary understanding of this concept and you have to simply use the formula associated with the rotational momentum from one position to the other (expansion and contraction).The formula is like this, [tex]I_1 \omega_1 = I_2 \omega_2 = \text{constant}[/tex]. Here [tex]I[/tex] and [tex]\omega[/tex] have the usual meanings.Therefore, the calculation would look like the following,

                              [tex]\begin{aligned}\\\\I_1\omega_1&= I_2 \omega_2\\\\I\omega &= \frac{I}{3}.\omega_2\cdots(I\, \text{could be cancelled out})\\\\\omega_2 &= 3I\end{aligned}[/tex]

Since the initial rotation is one round per second the final rotation which is thrice will mean 3 rotations per second.

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If it takes a planet 2.8 × 108 s to orbit a star with a mass of 6.2 × 1030 kg, what is the average distance between the planet and the star? 1.43 × 109 m 9.36 × 1011 m 5.42 × 1013 m 9.06 × 1017 m

Answers

The average distance between the planet and the star is:

R=9.36*10^11 m

Orbital velocity  v=√{(G*M)/R},

G = gravitational constant =6.67*10^-11 m³ kg⁻¹ s⁻²,

M = mass of the star

R =distance from the planet to the star.

v=ωR, with ω as the angular velocity and R the radius

ωR=√{(G*M)/R},

ω=2π/T,

T = orbital period of the planet

To get R we write the formula by making R the subject of the equation

(2π/T)*R=√{(G*M)/R}

{(2π/T)*R}²=[√{(G*M)/R}]²,

(4π²/T²)*R²=(G*M)/R,

(4π²/T²)*R³=G*M,

R³=(G*M*T²)/4π²,

R=∛{(G*M*T²)/4π²},

Substitute values

R=9.36*10^11 m

As was already said, Earth is located roughly 150 million kilometres (93 million miles) from the Sun on average. It is 1 AU. Mars is on our fictitious football field's three-yard line. On average, the distance between the Sun and the red planet is around 142 million miles (228 million kilometres).

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The complete question is ''If it takes a planet 2.8 × 108 s to orbit a star with a mass of 6.2 × 10^30 kg, what is the average distance between the planet and the star? 1.43 × 10^9 m 9.36 × 10^11 m 5.42 × 10^13 m 9.06 × 10^17 m''.

Where do high tides occur? (Select all that apply.)
1: on the side of Earth facing the Moon
2: only at the North Pole
3: only at the South Pole
4: at both the North and South Poles
5: on the side of Earth opposite the Moon
(I NEED HELP ASAP I'LL GIVE BRAINLIEST)

Answers

When the Earth's surface is turned toward the Moon, high tides happen as a result of the Moon's gravitational pull.

The term "high tide" refers to the high tide on the side of the Earth that faces the moon. The term "low high tide" refers to the high tide brought on by the bulge on the other side of the Earth. The water juts out toward the moon in the vast ocean. The water rises and spills onto the land along the coastline.On the sides of the Earth that face the Moon and away from it, high tide occurs. The ocean is on the sides of the Earth that face the Moon, which causes the Moon to pull on the Earth. The Earth stretches out both toward and away from the Moon to counteract this attraction. Tides are long-distance ocean waves. They are caused by the moon's and, to a lesser extent, the sun's gravitational pull on the earth. When the crest, or highest point, of a wave, hits a coast, it is said to be at high tide.

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Explain how Science and Society are related?

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The science and the society are related because the science plays an important role for the development of the society in many shapes like car, watch, medicines, washing machine and many other things.

Explain how Science and Society are related?

The science plays a very important role for the development of our societies. The science play a variety of functions for the benefits of our society by creating new knowledge, by improving the education and by also increases the quality of our lives.

The science provides many comforts for our society like making the washing machine makes our lives easier because the washing machine takes less time to wash the cloths than by ordinary method.

The science provide us comfort which is in the shape of car because we can covers a lot of distance in very less time than covering the distance by walking.

So we can conclude that the science and the society are related because the science plays an important role for the development of the society in many shapes like car, watch, medicines, washing machine and many other things.

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F=ma (pls help i need it)
the net force acting on an object is 10N as the object speeds up. what affect would applying 10x as much force have on the object? F=ma

Answers

The main affect would applying 10x as much force have on the object is the  covering of 10 times more distance as compared to the previous force because the force is 10 times.

What affect would applying 10x as much force have on the object?

If on movable object we apply 10x as much force then the object will move in the forward direct and accelerate more which leads to covering of distance 10 times more because we know that if one newton force is applied the body accelerate to 1 meter per second square so we apply 10 times more force so the body will accelerate 10 times and attain 10 times more distance. So that's why we can say that increasing force will lead to increase distance covered by the body.

So we can conclude that the main affect would applying 10x as much force have on the object is the  covering of 10 times more distance as compared to the previous force because the force is 10 times.

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describe the energy transfers taking place as the cyclist starts to pedal

Answers

Answer: You pedaling the bike is transforming chemical energy, supplied by the breakdown of the food you eat, into mechanical energy to turn the pedals. The chemical energy is potential and the mechanical energy is kinetic.

Explanation: hope this helps

Answer: At the start of the ride, the cyclist initially has chemical energy stored in his/her body as a result of the cyclist’s food intakes. This chemical energy in the cyclist is then converted to kinetic energy on the bike pedal due to the cyclist applying a downward force upon the bike pedal.

Explanation:

What were people thinking when they made the helicopter ejector seat….

Answers

An ejection seat or ejector seat is a mechanism used in airplanes that is intended to save the pilot or other members of the crew often military personnel in the event of an emergency.

What is the helicopter ejector seat about?

In most designs, a rocket motor or explosive charge propels the seat out of the aircraft, taking the pilot with it.

The seat does allow for escape from the helicopter, albeit more as a tractor rocket system than a genuine ejection seat.

The technique first fires explosive bolts to eject the rotor blades, then ejects the canopies, and finally ejects the crew members using tractors. Seconds later, their parachutes automatically open.

It should be noted the ejector seat is for safety.

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A lime is thrown upward with a velocity of 5 m/s.​

Answers

The maximum height reached by the lime thrown upward is 1.28 m.

What is maximum height of a projectile?

The maximum height of a projectile is the highest vertical position along its trajectory.

The maximum height reached by the lime thrown upward is calculated as follows;

v² = u² - 2gh

where;

u is the initial velocity of the limeh is the maximum height reached by the limeg is acceleration due to gravityv is the final velocity of the lime

At maximum height, the final velocity of a projectile is zero.

Substitute the given parameters and solve for the maximum height reached by the lime.

0 = u² - 2gh

h = u²/2g

h = (5²)/(2 x 9.8)

h = 1.28 m

Thus, the maximum height reached by the lime thrown upward is 1.28 m.

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Which of the following has the two vertical probes in the proper positions to find the correct value for ? gizmo screenshot gizmo screenshot gizmo screenshot gizmo screenshot

Answers

The option that has the two vertical probes in the proper positions to find the correct value for AT is the first graph.

What is the Vertical probe card?

The Probe cards which are known to be very suited for multi-die testing of general logic products, such as the SoC and microcomputer products, are said to be referred to as vertical-probe.

This is due to the fact that the probe needles are said to be in a vertical positioning to the substrate, the probe card is one that is known as a "vertical-type" probe card.

The option that has the two vertical probes in the proper positions to find the correct value for AT is the first graph.

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See full question below

Which of the following has the two vertical probes in the proper positions to find the correct value for AT?

Two forces with magnitudes of 25n and 18n respectively are inclined at an angle of 120 degrees to each other. calculate the resultant force and the angle it makes with the 18n force

Answers

Answer:

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the earth's escape speed (the speed you need to get away forever) is about 25,000 miles per hour. escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. based on your understanding of gravity, how will the escape speed from the moon compare to the escape speed from earth?

Answers

The Moon's escape velocity is less than the Earth's escape velocity.

We know that,

[tex]V_{e}[/tex] = √ 2 G M / r

where,

[tex]V_{e}[/tex] = Escape velocity

G = Universal gravitational constant

M = Mass of object

r = Radius of object

For the Moon,

G = 6.67 * [tex]10^{-11}[/tex] N m² / kg²

M = 7.35 * [tex]10^{22}[/tex] kg

r = 1737400 m

[tex]V_{e}[/tex] = √ [ 2 ( 6.67 * [tex]10^{-11}[/tex] * 7.35 * [tex]10^{22}[/tex] ) / 1737400 ]

[tex]V_{e}[/tex] = 2375.89 m / s = 5314.72 mil / hr.

Escape speed is the amount of speed required to escape the object's gravitational pull. The size or mass of the object trying to escape does not matter.

Therefore, the Moon's escape velocity is less than the Earth's escape velocity.

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an electron is to be accelerated from a velocity of 2.50×106 m/sm/s to a velocity of 9.00×106 m/sm/s . through what potential difference must the electron pass to accomplish this?

Answers

Through -212 V potential difference must the electron pass to accomplish this

What is Potential difference?

The difference in electric potential between two points, which is defined as the effort required per unit of charge to move a test charge between the two places, is known as voltage, electric potential difference, electric pressure, or electric tension.

The initial kinetic energy of the electron is,

[tex]{K_i} = \frac{1}{2}mv_i^2[/tex]

Here, m is the mass of the electron and

is the initial velocity of the electron.

[tex]\begin{array}{c}\\{K_i} = \frac{1}{2}\left( {9.11 \times {{10}^{ - 31}}\;{\rm{kg}}} \right){\left( {2.5 \times {{10}^6}\;{\rm{m/s}}} \right)^2}\\\\ = 2.88 \times {10^{ - 18}}\;{\rm{kg}}\\\end{array}[/tex]

The final kinetic energy of the electron is,

[tex]\begin{array}{c}\\{K_f} = \frac{1}{2}\left( {9.11 \times {{10}^{ - 31}}\;{\rm{kg}}} \right){\left( {9 \times {{10}^6}\;{\rm{m/s}}} \right)^2}\\\\ = 3.68 \times {10^{ - 17}}\;{\rm{kg}}\\\end{array}[/tex]

[tex]\begin{array}{c}\\{V_1} - {V_2} = \frac{{3.68 \times {{10}^{ - 17}}\;{\rm{J}} - 2.88 \times {{10}^{ - 18}}\;{\rm{J}}}}{{ - 1.6 \times {{10}^{ - 19}}\;{\rm{C}}}}\\\\ = - 212\;{\rm{V}}\\\end{array}[/tex]

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Forced airflow that takes place by design between the inside and outside of a building is?

Answers

Answer:

Infiltration

Explanation:

If air movement between inside and outside is accidental, we call it infiltration. Approximately two-thirds of U.S. houses, including low-rise condos and townhouses, use forced-air systems to move heating and cooling energy from a central furnace, air conditioner, or heat pump around the house using a duct system.

The forced airflow that takes place by design between the inside and outside a building is known as ventilation.

What is ventilation?

A building will always experience "air infiltration" in addition to planned ventilation. This is the unplanned or accidental entry of air to it in to a space from openings and fissures in the built environment.

Exfiltration is the phrase used to describe the equivalent loss from air from a confined space. The porosity of the proposed building and the strength of the wind and temperature's natural driving forces both affect how much air penetration occurs.

When the pressures operating across one of these openings are driven by poor weather rather than purposefully created driving forces, vents and other ventilation design-related holes can also become paths for unintended air movement.

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a 100 w incandescent light bulb converts approximately 2.5% of the electrical energy supplied to it into visible light. assume that the average wavelength of the emitted light is λ

Answers

The question is incomplete the right solution for this question is:

E photon = 2.39 eV, b = 6.32 * 1048 fotones/s, c = 9.87 * 1048 fotones/s.

To compute the answer, we must take into account the Plack postulate, which states that each photon's energy is given by

Ephoton is equal to h*f, where f is the frequency of light and h is the Planck universal constant.

We also know that the relationship between wavelength and frequency for waves has the following form:

velocity equals wavelength times frequency (f) Assuming that velocity in our case is the same as the speed of light, we can derive

Ephoton= h*f= h*c/ and hc= 1240 eV/nm are related terms.

Consequently, Ephoton=1240/540 nm=2.39 eV

Since power is defined as energy/time, we may calculate the power emitted by considering a number per second (n) and multiplying it by its energy.

Power in this instance: n*h*f

On the other hand, we must take into account that the light is emitted isotropically in order to compute the number of photons per second at a distance of 5 m from a light bulb using an area of 2 cm2.

the percentage of the 2 cm2 at 5 meters is 425 of the total area radiated.

0.02*0.02/25=1,6*10^-5

To perform the calculations for photons at 810 nm, we must alter the photon energy to 1.53 eV.

As 810 nm photons have lower energy, 100 W light bulbs emit more of these photons than they do.

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A mass of 0.1kg oscillates in simple harmonic
motion with an amplitude of 0.2m and a period
of 10 second. Calculate the maximum kinetic energy.

Answers

The maximum kinetic energy of the mass performing simple harmonic motion is 7.88 joules.

What is Kinetic energy of any general body?

The kinetic energy of any body is the energy possessed by the body due to virtue of its motion is called Kinetic energy.

Given in the question is a mass of 0.1 kg oscillating in simple harmonic

motion. From the question, we can write -

Mass [M] = 0.1 kg

Amplitude [A] = 0.2 m

Time period [T] = 10 s

The Kinetic energy of a Simple harmonic motion is given by -

K.E = 1/2 mω²a²cos²(ωt + Φ)

For maximum kinetic energy -

ωt + Φ = 0

Therefore -

K.E [max] = 1/2 mω²a²

Now -

Angular frequency = ω = 2πT = ω = 2 x 3.14 x 10 = 62.8 s

The maximum kinetic energy will be -

K.E [max] = 1/2 mω²a² = 1/2 x 0.1 x 62.8 x 62.8 x 0.2 x 0.2 = 7.88 Joules

Therefore, the maximum kinetic energy of the mass performing simple harmonic motion is 7.88 joules.

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