If a cannonball were launched from the surface of Earth, it would eventually fall to the ground. However, if the cannonball was moving fast enough, it would move forward fast enough that it would never fall all the way to the ground, as shown in the animation. If the cannonball in the diagram were launched even faster, what would happen to its motion?

Answers

Answer 1

If a cannonball were launched from the surface of Earth at an even faster speed: its motion would be significantly impacted.

As the cannonball's speed increases, it would move forward more quickly, causing the rate at which it falls towards the ground to be countered by its horizontal motion. If the cannonball reaches a critical speed known as the "orbital velocity," it will enter a stable orbit around the Earth. In this state, the cannonball's forward motion will balance the force of gravity, preventing it from falling back to the ground.

Instead, it will continuously travel around the Earth in a circular or elliptical path. If the cannonball were to be launched at an even higher speed, beyond the escape velocity, it would eventually break free from Earth's gravitational pull and continue moving away from our planet, potentially entering into an orbit around another celestial body or traveling through space indefinitely.

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Related Questions

Why did explorers want to find a way accross the North American continent

Answers

Answer:

The Desire for New Trade Routes

Extra:

European explorers found the New World by mistake; they were not looking to find new continents but new sea routes. Europeans mainly wanted to find better trade routes to China, India, and Southeast Asia.

please give brainliest if possible

consider a device with one inlet and one outlet. if the volume flow rates at the inlet and at the outlet are the same, is the flow through this device necessarily steady?

Answers

Consider a device with one inlet and one outlet. If the volume flow rates at the inlet and at the outlet are the same, is the flow through this device necessarily steady

Explanation:

No, it is not necessary that the flow through this device is steady even if the volume flow rates at the inlet and at the outlet are the same.

A fluid flow is said to be steady when the velocity and pressure at any point of the fluid do not change with time. This is true if the fluid at any given location is neither accelerating nor decelerating.

If the flow rates are equal and are not varying with time, then the fluid flow is said to be steady.

Therefore, the conclusion is that the flow through the device is not necessarily steady even if the volume flow rates at the inlet and at the outlet are the same.

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If the driver slammed on the brakes, what could happen to the crate?

Answers

The crate would slide forward
It would slide forward

a hunter uses a blow gun to hunt for supper. a force of 2.0 newtons is applied to a 0.05 kg dart for 0.75 seconds. the speed of the dart as it leaves the blow gun is about:

Answers

According to the question, the speed of the dart as it leaves the blow gun is about: 60 m/s.

What is speed?

Speed is defined as the rate at which something moves or operates. It is measured in units such as meters per second (m/s), kilometers per hour (km/h) or miles per hour (mph). In physics, speed is the magnitude of velocity, which is the rate of change of position. It is a scalar quantity, meaning it is a magnitude without direction. Speed is used to measure how quickly an object is moving, and is often confused with velocity, which is a vector quantity that has both magnitude and direction.

The speed of the dart can be calculated using the equation v = F × t/m, where F is the force applied, t is the time the force was applied for, and m is the mass of the dart.

Plugging in the given values, we get: v = (2.0 N) × (0.75 s) / (0.05 kg)

v = 60 m/s

Therefore, the speed of the dart as it leaves the blow gun is about 60 m/s.

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Is this spring or winter?

Is this spring or winter?

Answers

The season is Spring

When friction slows a sliding block___

A) the block's kinetic energy is transformed into internal energy

B) the block’s potential energy is transformed into internal energy

C) the block’s internal energy is transformed into kinetic energy

D) the block’s internal energy is transformed into potential energy

Answers

Answer:

A

Explanation:

When friction slows a sliding block, the kinetic energy of the block is transformed into internal energy .

The frictional movement of two surfaces over one another leads to the conversion of some of their kinetic energies to another energy - heat or thermal energy. Hence, the temperatures of the objects are raised in the process.

Therefore, when a sliding block is slowed down due to friction, some of the kinetic energy of the block would be transformed into internal energy in the form of heat.

The correct option is A.

Jeffrey pulls a spring with a spring constant k = 50.0 N/m, stretching it from its rest length of 0.10 m to 0.90 m.

What is the elastic potential energy stored in the spring?

Jeffrey pulls a spring with a spring constant k = 50.0 N/m, stretching it from its rest length of 0.10

Answers

The elastic potential energy stored in the spring having a spring constant of 50.0 N/m is 16 J

How do I determine the potential energy stored in the spring?

We'll begin by obtaining the extension of the spring. This is given below:

Initial length = 0.10 mNew length = 0.90 mExtension =?

Extension = New length - initial length

Extension = 0.90 - 0.10

Extension = 0.80 m

Finally, we shall determine the potential energy stored by the spring. Details below

Spring constant (K) = 50.0 N/mExteension (e) = 0.80 mPotential energy stored =?

PE = ½Ke²

PE = ½ × 50 × 0.8²

PE = 25 × 0.64

PE = 16 J

Thus, from the above calculations, we can conclude that the potential energy stored is 16 J

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PLEASE HELP
uniform motion and nonuniform motion bibliography​

Answers

Answer:

Abstract

A methodology for designing mechanical non-uniform motion generators is presented. The basic requirements for four-bar and six-bar linkages are established and it is shown how the performance can be evaluated by harmonic analysis applied to the output angular velocity function. A means of creating and searching a library of mechanisms based on normalized output functions is presented. B-spline curves are used as a means of defining a desired performance and it is shown how minimum acceleration can be achieved with continuity in the derivatives. Finally, a means of increasing the quality of motion transmission in the selected mechanisms is given. The techniques are used to synthesize a six-bar linkage.

Se tiene una esfera gaussiana que encierra a un cubo de lado "a" que tiene una carga neta q. ¿Cuál es el flujo de campo eléctrico sobre la superficie de la esfera gaussiana?

Answers

Answer:

Φ =    Q/ε₀

Explanation:

Una esfera Gaussiana, es una esfera imaginaria en cuya superficie el campo eléctrico es constante. El campo eléctrico es el producido por la carga que está encerrada por la superficie. De tal modo que si tenemos un cubo con una carga neta igual a Q y la asumimos ubicada en el centro del cubo (que es el centro de la esfera gaussiana de radio x), tendremos:

El flujo eléctrico es:

Φ = ∫ E*dS = Q/ε₀       Esta es la primera ecuación de Maxwell como E es constante por definicion

El area de una esfera es: A(s) = 4*π*x²

E * 4*π*x² = Q/ε₀

E = Q/4*π*ε₀* x²

La distancia que hay del centro del cubo a un vertice (x) es:

x² = a² + a²

x = √2a²

x = a*√2

Sustituyendo x por su valor  

E =    Q/4*π*ε₀*2*a²

Entonces

Φ =    Q/4*π*ε₀*2*a²* ∫ dS

Φ =    [Q/4*π*ε₀*2*a²] *[4*π*2*a²  ]

Φ =    Q/ε₀

the weight of a body of certain mass become zero in space.why?

Answers

Answer:

There is no force in space.

Explanation:

Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero

Answer:

It is because of gravity that your weight of a certain mass becomes zero in space.

Explanation:

Nuclei decay from a more stable form to a less stable form.Question 9 options:TrueFalse

Answers

ANSWER

False.

EXPLANATION

In radioactive decay (or nuclei decay), an unstable nucleus emits radiation into a nucleus that is table and has less energy and a lower mass.

Therefore, nuclei decay from a less stable form to a more stable form.

The answer is false.

In 1993 itleana salvador at italy walked 30 km under 12 min suppose that during 115m at her walk she steadly increased her speed from 42m/s to 5m/s how long does it increase took

Answers

        When acceleration is constant, we may connect displacement to time and velocity, two of the other three parameters that describe motion, using the following three equations: d = ( 1 2 ) ( 1 2 ) (v f + v I (t) (Equation 1) D = v I t + a t + 1 2 (Equation 2) V I 2 + 2 a d = v f 2 (Equation 3).

Defining displacement If acceleration is constant, then?

         Displacement is directly proportional to the square of the length of the linear motion when acceleration is constant and beginning velocity is zero.

Solution:-

vi =+245km/h

aavg = -3.0m/s2

vf =vi -(0.200)vi

vi =(245km/h)(1h/3600s)(103m/1km)= +68.1m/s

vf =(1.000-0.200)vi =(0.800)(68.1m/s)=+54.5m/s

Δt=vf -vi /aavg

 = 54.5m/s - 68.1m/s / -3.0m/s2

 =-13.6m/s /-3.0 m/s2

 =  4.5s

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The components of a 10.8-meters-per-second velocity at an angle of 34.° above the horizontal are

9.0 m/s vertical and 6.0 m/s horizontal

13 m/s vertical and 7.5 m/s horizontal

7.5 m/s vertical and 13 m/s horizontal

6.0 m/s vertical and 9.0 m/s horizontal

Answers

Answer:

6.0 m/s vertical and 9.0 m/s horizontal

Explanation:

For the vertical component, we use the formula:

Sin(34°) = y / 10.8

Then we solve for y:

0.559 = y / 10.8y = 6.0

And for the horizontal component, we use the formula:

Cos(34°) = x / 10.8

Then we solve for x:

0.829 = x / 10.8y = 9.0

So the answer is " 6.0 m/s vertical and 9.0 m/s horizontal".

The period of a sine wave is 40ms. What is the frequency?
a.25
b.50
c.75
d.100

Answers

Answer:

So, the frequency of the sine wave is 25 Hz

Explanation:

a man accidentally kicks a pebble off a cliff that is 18 m high with a horizontal velocity of 2.3 m/s. How long does it take to hit the ground below?

Answers

A pebble off a cliff to hit the ground below t = 0.128 sec.

Equation :

Given,

distance = 18m

velocity = 2.3m /s

time = ?

To find the time in given data,

Use formula,

velocity = distance / time

Putting the value in formula,

We get,

2.3 m/s = 18 m / t

t = 2.3 m/s / 18 m

t = 0.128 sec

Velocity :

The vector quantity velocity (v), denoted by the equation v = s/t, measures displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar quantity, denoted by the equation r = d/t, that measures the distance traveled (d) over the change in time (t).

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NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!

1. Tracking your exercise can help you stick with an exercise routine.
A.
True
B.
False

2. Lola is trying to be healthier, so she has been doing a lot of weight lifting. She can tell that she is really starting to build more muscle. If she is working her muscles, does she need to be concerned about flexibility?
A.
No, any kind of muscle work gets the job done.
B.
Yes, it is best to do as many different kinds of exercise as possible.
C.
Yes, flexibility is a different and important way of working muscle.
D.
No, most people are naturally flexible without much additional work.

3. Many sports that do not explicitly depend on strength work weightlifting into their practices. Why is this a good idea?
A.
Weightlifting is a traditional form of exercise.
B.
Building muscle strength helps with all aspects of fitness.
C.
There are very few ways to build muscles other than weightlifting.
D.
Sports can change their rules and require more strength from athletes.

4. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting

PLEASE NO LINKS!!!

Answers

Answer:

1.A

2.C

3.B

4. i.dk about that one

Explanation:

1. It is true that Tracking your exercise can help you stick with an exercise routine.

2. Yes, it is best to do as many different kinds of exercise as possible.

3. Building muscle strength helps with all aspects of fitness

4. Yoga would be the best exercise to achieve this goal.

What is exercise?

Exercise is any activity that utilizes the physical movements of the body that improves a people's health, endurance, and wellbeing while lowering their chance of contracting illnesses. It enables the person to keep their body weight in a healthy weight range.

The benefits of fitness fluctuate depending on the sort of dying a person experiences. Even if a muscle is stretched, excessive sitting can cause a number of illnesses, many of which are fatal. The individual should engage in mobility activities as well as exercising to improve their stamina.

Thus, exercise is very necessary for health.

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55. What is the instantaneous speed of the point of the disk that makes contact with the surface?
A) zero m/s
B) 5.0 m/s
C) 7.1 m/s
D) 7.5 m/s
E) 10.0 m/s

Answers

The instantaneous speed of the point of the disk that makes contact with the surface is zero m/s (Option A).

To determine the instantaneous speed of the point of the disk that makes contact with the surface, we must consider the following terms:

Instantaneous speed: The speed of an object at a specific point in time.Point of contact: The point where the disk touches the surface.

The answer to the question is A) zero m/s. The reason for this is that the point of contact between the disk and the surface is stationary for an instant, as it constantly changes due to the rotation of the disk. At that specific moment, the instantaneous speed of the point of contact is zero.

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Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?​

Answers

It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.

The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.

The momentum of a person is given by the product of their mass and velocity:

Momentum = mass × velocity

Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:

Initial momentum = 68 kg × 27 m/s

To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.

Therefore, we have:

Impulse provided by barrier = Final momentum - Initial momentum

Since the person is brought to rest, the final momentum is zero. Thus, we have:

Impulse provided by barrier = -Initial momentum

Now we can express the impulse in terms of force and time:

Impulse provided by barrier = Force × Time

Plugging in the known values, we can solve for time:

-Initial momentum = Force × Time

68 kg × 27 m/s = 1180 N × Time

Simplifying the equation, we find:

Time = (68 kg × 27 m/s) / 1180 N

Evaluating the expression:

Time = 1836 kg·m/s / 1180 N

Finally, converting kg·m/s to seconds, we get:

Time ≈ 1.5559 seconds

Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

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Describe how the pendulum concept is used in the pendulum clock.

Answers

The concept of the pendulum is used in pendulum clocks to keep time. The pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity.

This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face.The mechanism of a pendulum clock is such that when the pendulum swings in one direction, it pushes a toothed wheel or gear, which in turn moves the other gears, causing the clock's hands to move forward.

When the pendulum swings back in the opposite direction, it again pushes the gear, causing the hands to move further forward. This cycle continues, with each swing of the pendulum causing the hands to move forward by a set amount. The length of the pendulum determines the rate at which the hands move forward, with longer pendulums causing the hands to move more slowly.

In a pendulum clock, the pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity. This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face. The pendulum clock is an improvement on the original verge escapement clocks, which were prone to errors due to the uneven force of the mainspring.The pendulum is a simple yet effective device that can keep accurate time. Its motion is governed by the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.

When the pendulum is pulled to one side and released, it swings back and forth, converting potential energy into kinetic energy and back again. The period of the pendulum, or the time it takes to complete one full swing, is determined by the length of the pendulum and the force of gravity. By adjusting the length of the pendulum, the rate at which it swings can be altered, allowing it to keep accurate time.

To keep the pendulum clock running accurately, it needs to be adjusted periodically. This is done by altering the length of the pendulum, either by moving a weight up or down along the pendulum rod or by turning a screw at the bottom of the pendulum bob. This alters the period of the pendulum, which in turn changes the rate at which the clock runs.

The pendulum clock is a testament to the ingenuity of humanity. By using the simple yet effective concept of the pendulum, clockmakers were able to create accurate timepieces that revolutionized the way we keep time. Today, the pendulum clock may have been superseded by more advanced technologies, but its legacy lives on in the modern clocks and watches we use every day.

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PLEASE HELPPP
answer choices are insulator and conductor

PLEASE HELPPPanswer choices are insulator and conductor

Answers

conductor is the answer

How fast would a billiard ball be travelling if it had a kinetic energy of 22 J, and a mass of 0.223 kg?

Answers

Answer:

Explanation:

K.E=1/2mv²

22=1/2 0.223 v²

v²=197.3

v=14.04 m/s

A firecracker is launched into the with an initial velocity of 53.5 m/s. What will be the firecracker’s maximum height, in meters?

Equations used in picture below:

A firecracker is launched into the with an initial velocity of 53.5 m/s. What will be the firecrackers
A firecracker is launched into the with an initial velocity of 53.5 m/s. What will be the firecrackers

Answers

Answer:

146 m.

Explanation:

From the question given above, the following data were obtained:

Initial velocity (vᵢ) = 53.5 m/s

Final velocity (vբ) = 0 (at maximum height)

Acceleration due to gravity (g) = –9.8 m/s² (since the firecracker is going again gravity)

Maximum height (h) =?

Thus, we can obtain the maximum height reached by the firecracker by using the following formula:

vբ² = vᵢ² + 2gh

0² = 53.5² + (2 × –9.8 × h)

0 = 2862.25 + (–19.6h)

0 = 2862.25 – 19.6h

Collect like terms

0 – 2862.25 = – 19.6h

– 2862.25 = – 19.6h

Divide both side by – 19.6

h = – 2862.25 / –19.6

h = 146 m

Therefore, the maximum height reached by the firecracker is 146 m

if you could go back in time as an observer, no one could see you and you couldn't interact with anything, what time period or moment would you go back to and why?

Answers

If I could go back in time as an observer, I would choose to go back to the time of the dinosaurs, specifically during the Late Cretaceous period.

This was a time when the Earth was drastically different from how it is now, with massive reptilian creatures roaming the planet and dominating the ecosystem.

As an observer, I would be able to witness the incredible diversity of life during this time, including the famous Tyrannosaurus Rex and Triceratops. I would also be able to see how these creatures interacted with their environment, such as how they hunted and defended themselves against predators.

In addition to the dinosaurs, the Late Cretaceous period was also a time of significant geological events, including the formation of the Rocky Mountains and the break up of the supercontinent, Gondwana. As an observer, I would be able to witness these events first-hand and gain a greater understanding of the Earth's natural history.

Overall, I would choose to go back to the Late Cretaceous period because it was a time of incredible change and evolution on our planet, and I would love to witness it in person, even if I couldn't interact with anything.

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What is the mass of the block of iron that has a density of 7.87 g/cm3. Its volume measurements are 2 cm x 10 cm x 5 cm.

Answers

I believe that the mass is 787 but I’m not 100% certain.

coherent light that contains two wavelengths, 660 nm and 470 nm, passes through two narrow slits with a separation of 0.270 mm and an interference pattern is observed on a 2 screen which is a distance 5.10 m from the slits. (a) what is the width of the first-order bright fringe for 660nm light? (b) what is the width of the first-order bright fringe for 470nm light? (c) what is the distance on the screen between the first-order bright fringe for each wavelength?

Answers

a) The width of the first-order bright fringe for 660nm light is 12.3 mm

b)  The width of the first-order bright fringe for 470nm light is 8.85 mm.

c) The distance between the first-order bright fringe for each wavelength is 3.45 mm.

(a) To find the width of the first-order bright fringe for 660nm light, we can use the formula:

w = λL/d

where w is the width of the fringe, λ is the wavelength of the light, L is the distance between the slits and the screen, and d is the distance between the slits.

Substituting the values, we get:

w = (660 x 10^-9 m) x (5.10 m) / 0.270 x 10^-3 m

w = 1.23 x 10^-2 m or 12.3 mm

Therefore, the width of the first-order bright fringe for 660nm light is 12.3 mm.

(b) Similarly, to find the width of the first-order bright fringe for 470nm light, we can use the same formula:

w = λL/d

Substituting the values, we get:

w = (470 x 10^-9 m) x (5.10 m) / 0.270 x 10^-3 m

w = 8.85 x 10^-3 m or 8.85 mm

Therefore, 8.85 mm  is the width of the first-order bright fringe for 470nm light.

(c) The distance between the first-order bright fringe for each wavelength can be found by subtracting the position of the 470nm fringe from the position of the 660nm fringe:

Δx = w660 - w470

Δx = (1.23 x 10^-2 m) - (8.85 x 10^-3 m)

Δx = 3.45 x 10^-3 m or 3.45 mm

Therefore, the distance between the first-order bright fringe for each wavelength is 3.45 mm.

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Which of these is a unique use of gamma radiation?
A. Detection of thyroid cancer
O B. CT scanners
C. Smoke detectors
D. Killing bacteria
SUBMIT
Who knows

Answers

Answer:

the answer would be 'd'

Explanation:

im really good at this stuff

The unique use of gamma radiation is Killing bacteria. The correct option is D.

What is gamma radiation?

Gamma radiation is a type of electromagnetic radiation that is highly energetic and has no mass or charge. It is the most penetrating form of radiation and is often emitted during radioactive decay or nuclear reactions. Gamma rays have the shortest wavelengths and highest frequencies in the electromagnetic spectrum, ranging from about 0.1 nanometers to 10 picometers in wavelength. They can cause ionization in matter, meaning they can knock electrons out of atoms or molecules, making them highly damaging to living tissue. Gamma radiation is commonly used in medical imaging and cancer treatment, as well as in industrial applications for sterilization and food preservation.

Here in the Question,

Option A. Detection of thyroid cancer: Gamma radiation is used in medical imaging techniques such as PET scans and SPECT scans to diagnose cancerous conditions, but it is not unique to the detection of thyroid cancer.

Option B. CT scanners: Gamma radiation is not used in CT (computed tomography) scanners. CT scanners use a series of X-rays to produce detailed images of the inside of the body.

Option C. Smoke detectors: Smoke detectors use a small amount of radioactive material, typically americium-241, to ionize air particles and detect the presence of smoke. While gamma radiation is a type of ionizing radiation, smoke detectors do not use gamma radiation specifically.

Option D. Killing bacteria: Gamma radiation is used in the food industry to kill bacteria and sterilize food products, such as spices, meat, and poultry. This is a unique use of gamma radiation, as it relies on its ability to destroy microorganisms at high doses while leaving no residual radiation.

Therefore, The correct answer is option D i.e Killing bacteria.

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in the bohr model of the hydrogen atom, an electron orbits a proton in a circular orbit of radius 0.53 x 10e-10 m. what is the electric potential at the electron's orbit due to the proton?

Answers

The electric potential is 27.2V

The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field.When an object is moved against the electric field, it gains some amount of energy which is defined as the electric potential energy. The electric potential of the charge is obtained by dividing the potential energy by the quantity of charge. When work is done in moving a charge of 1 coulomb from infinity to a particular point due to an electric field against the electrostatic force, then it is said to be 1 volt of the electrostatic potential at a point.

Electric potential is given by equation: V = kq/r

where,

k =  Coulomb's constant = 9 ×10⁹ N m²/C²

r =  Radius = 0.53×10⁻¹⁰ m

Putting these values in above equation we get:

V = (9 ×10⁹)(1.6 × 10⁻¹⁹)/( 0.53×10⁻¹⁰) = 27.2 V

So the electric potential is 27.2V

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photons can be produced by the impact of a high-energy electron with a target. if the electron is accelerated by a potential difference of 10.0 kv and produces a photon on impact, what is the minimum wavelength of photon?

Answers

\(1.24 * 10^{-10} m\) is the minimum wavelength of photon.

The potential difference is ΔV = \(10 * 10^{3} V\)

The charge on an electron is q = \(-1.6 * 10^{-19} C\)

The change in the potential energy of a charged particle when it moves through a potential difference, ΔV, is

ΔU = qΔV

Here,

ΔU is the change in the potential energy.

q is the charge.

ΔV is the potential difference between the initial and the final position of the charge.

The change in the potential energy of the electron is:

ΔU = \(-1.6 * 10^{-19} * 10^{4} = -0.16 * 10^{-15} J\)

According to the law of conservation of energy, the sun of the change in the kinetic and potential energy of the charge should be zero, since the electric field is conservative, and there are no other external forces.

ΔU + ΔK = 0

⇒ΔK = \(1.6 * 10^{-15} J\)

Therefore, the kinetic energy acquired by the electron is:

Now when such an electron suddenly stops, it produces x-ray to compensate for the sudden release of energy. The maximum energy of this x-ray is equal to the kinetic energy of the electron.

K = \(1.6 * 10^{-15} J\)

E = K

Also, the energy of an electromagnetic wave depends on its wavelength,

λ , by the following equation:

E = hc / λ

here;

h = \(6.626 * 10^{-34} J\) is the planks constant

c = \(3 * 10^{8} m/s the speed of light\)

Therefore, the minimum wavelength corresponds to the maximum possible energy,

E = K

hc / λ = \(1.6 * 10^{-15}\)

λ = \(6.626 * 10^{-34} * 3 * 10^{8} / 1.6 * 10^{-15\)

  = \(19.878 * 10^{-26} / 1.6 * 10^{-15}\)

  = \(1.24 * 10^{-10} m\)

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In reality, there is friction in the piping, which means that an additional pressure equivalent to a height of 100 m is needed to pump the water from the bottom tank to the top tank. What is the minimum power required when accounting for friction? By what percentage has friction increased the minimum power required? Remember to show your calculations.

Answers

An additional pressure equivalent to a height of 100 m is needed to pump the water from the bottom tank to the top tank if there is no friction. The minimum power required is around 6880 kg * \(m^2/sec^3.\)

To calculate the minimum power required when accounting for friction in pumping water between tanks, we need to consider the additional pressure required and the flow rate.

Given:

Additional pressure due to friction = 100 m

Let's assume the flow rate is Q (in cubic meters per second).

The power (P) required to pump water can be calculated using the formula:

P = Q * ρ * g * H

where ρ is the density of water and g is the acceleration due to gravity.

We can express the additional pressure (ΔP) in terms of the height of the water column:

ΔP = ρ * g * Δh

Solving for Δh, we find:

Δh = ΔP / (ρ * g)

Substituting the given values:

P = \((0.6 m^3/sec * 8.5 m * 1000 kg/m^3) / 0.75 + (0.6 m^3/sec * 100 m) / 0.75\)

P = \((5100 kg * m^2/sec^3) / 0.75 + (60 m^2/sec^2) / 0.75\)

P = \(6800 kg * m^2/sec^3 + 80 m^2/sec^2\)

P = \(6880 kg * m^2/sec^3\)

Therefore, the minimum power required, accounting for friction, is approximately \(6880 kg * m^2/sec^3.\)

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In 1–2 sentences, explain how you could find the kinetic energy of a baseball when it hits a window.(2 points)

Answers

Answer: You could measure the baseball's mass, the distance the ball traveled to hit the window, and finally find the time it took for it to reach the window. With this information, we can calculate the velocity of the baseball, and then the kinetic energy using the formula KE=1/2mv^2.

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