Given that there are no obstacles in its path and it is free to move, we understand that the light in this situation moves at the speed of refraction index, which in this instance is n = 1.5. That period of time corresponds to the distance a brief pulse of light must travel to cross the glass from one end to the other.
How would you define refraction in plain English?In physics, refraction is the direction change brought on by a wave's speed change as it passes through one medium and enters another.
In what ways do reflection and refraction differ?When light strikes a material on a plane, it reflects, or returns. Light bends as a result of refraction, which is the process through which light's path changes when it passes through a substance. As a result, this is the primary distinction between the two. Usually, mirrors experience this effect.
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(a) What is the total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K?(b) With what speed would a mole of hydrogen have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?
The total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K can be calculated using the equation for the internal energy of an ideal gas:
U = 3/2 * nRT
Where U is the internal energy, n is the number of moles, R is the ideal gas constant and T is the temperature in Kelvin.
Since hydrogen is a diatomic gas, the internal energy of 1 mol of hydrogen at 300 K is given by:
U = 3/2 * (1 mol) * (8.314 J/mol*K) * (300 K) = 1.50 x 10^4 J
The kinetic energy of a gas is related to its temperature by the following equation:
KE = 3/2 * nRT
So the total random kinetic energy of all the molecules in 1 mol of hydrogen at a temperature of 300 K is:
KE = 3/2 * (1 mol) * (8.314 J/mol*K) * (300 K) = 1.50 x 10^4 J
To find the velocity at which a mole of hydrogen would have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules, we need to use the formula for kinetic energy:
KE = (1/2) * m * v^2
The mass of 1 mole of hydrogen is given by the molar mass of hydrogen (2.016 g/mol), so the mass of a mole of hydrogen is 2.016 g.
So we can calculate the velocity as:
KE = (1/2) * m * v^2
v = sqrt(2* KE/m)
v = sqrt(2* 1.50 x 10^4 J / 2.016 g) = 3.41*10^3 m/s
Therefore, a mole of hydrogen would have to move at a velocity of approximately 3.41*10^3 m/s so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules at a temperature of 300 K.
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the bumpy pattern on the soles of shoes is called the tread. melanie and keisha are at the store looking at the treads on different basketball shoes. they want new shoes so that they do not slide on the basketball court. which of these situations produces the most friction between the shoes and the floor? a. a girl with a less mass wearing shoes with more tread b. a girl with a less mass wearing shoes with less tread c. a girl with greater mass wearing shoes with more tread d. a girl with greater mass wearing shoes with less tread
Out of all the instances described, a girl with more mass wearing shoes with higher tread will cause the most friction.
Which four forms of friction are there?
The force that prevents one solid item from moving across another is known as friction. Static friction, sliding friction, rolling friction, and fluid friction are the four main categories of friction.
What is frictional force, exactly?
Two surfaces that come into contact and slide against one another produce frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.
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a constant force applied to a 2.0 kg object at rest moves it 4.0 m in 2.0 seconds. what impulse was applied?
A constant force applied to a 2.0 kg object at rest moves it 4.0 m in 2.0 seconds. The impulse of the force applied is 4kg m/s.
What is Impulse?
Impulse is a term which is used to describe or quantify the effect of force which is acting over time to change the momentum of an object. Impulse is represented by the symbol J and it is usually expressed in the SI unit as Newton-seconds or kg m/s.
Impulse = Change in momentum = ΔP
Momentum = m × v
ΔP = mv -mu
ΔP = 2.0 × 4/2 - 2.0 × 0
ΔP = 2.0 × 2 - 0
ΔP = 4kgm/s
The impulse of force applied is 4 kg m/s.
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A small body A starts sliding from the height h down an inclined groove passing into a half-circle of radius h/2 (figure shown above). Assuming the friction to be negligible, find the velocity of the body at the highest point of its trajectory (after breaking off the groove).
When body A slides down the inclined groove, it gains potential energy due to its height, which is converted into kinetic energy as the body moves down. The body will continue to gain kinetic energy as it slides down the half-circle due to the conservation of energy.
The velocity of the body at the highest point of its trajectory can be calculated by using the conservation of energy principle. The initial potential energy of the body at height h is converted into kinetic energy as the body moves down. At the highest point of its trajectory, the kinetic energy is equal to the initial potential energy.
Initial potential energy = mgh (where m is the mass of the body and g is the acceleration due to gravity)
Kinetic energy = 1/2 * m * v^2 (where v is the velocity of the body)
The velocity of the body at the highest point of its trajectory can be calculated by equating the initial potential energy and the kinetic energy, and solving for v:
mgh = 1/2 * m * v^2
v^2 = 2gh
v = √(2gh)
Therefore, the velocity of the body at the highest point of its trajectory is √(2gh).
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A string pulls horizontally on a cart so that it moves at increasing speed along a smooth, frictionless, horizontal surface. When the cart is moving medium-fast, the pulling is stopped abruptly. (a) Describe in words what happens to the cart's motion when the pulling stops. (b) Illustrate your description with motion diagrams, force diagrams, and position-versus-time and velocity-versus-time graphs. Indicate on the graphs when the pulling stopped. What assumptions did you make?
a) We are assuming that the surface is frictionless, so when the pulling stops, the cart will continue to move at a constant speed in a straight line.
b) Illustration of description with motion diagrams, force diagrams, and position-versus-time and velocity-versus-time graphs is given in the attachment.
What is frictionless surface?From Galileo Galilei's writings comes the idea of the frictionless surface. A formula for predicting the motion of an object moving down an inclined plane was provided by Galileo in his 1638 book The Two New Sciences. His formula was based on earlier work he had done with bodies that were falling freely.
Although his model was based on conceptual modelling of the forces acting upon the object, it was not based on experiments with objects moving down an inclined plane. Galileo understood the mechanics of the inclined plane as the union of the horizontal and vertical vectors; the outcome of gravity acting upon the object, diverted by the slope of the plane.
The cart accelerates until the pulling stops, at which point it will move at a constant speed(see attachment). Because of the constant acceleration that causes the velocity to increase with time, the first part of the function is a straight inclined line. The second part is a straight horizontal line because the cart moves at a constant velocity after the pulling stops because there are no horizontal forces acting on it.
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1. What is the speed of each seat? Answer in units of m/s.
2.If a child of mass 35.2 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.
( 1) The speed of each seat is 6.73 m/s
( 2 ) The tension in the chain is 327.6 N.
What is he speed of each seat?The speed of each seat is determined by treating the system as a simple harmonic motion.
Apply the law of conservation of mechanical energy as shown below.
kinetic energy of each seat at the bottom = potential energy of each seat at the top
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the vertical displacement of the childreng is acceleration due to gravityThe vertical displacement of the seats is calculated from the length of the chain as follows;
h = L cos (24.4)
The speed of each seat is calculated as follows;
v = √ ( 2g L cos (24.4) )
v = √ ( 2 x 9.8 x 2.54cos (24.4) )
v = 6.73 m/s
The tension in the chain is calculated by applying the formula for centripetal force as follows;
T = mv²/r
where;
m is the total mass suspended by the chain = 10 kg + 35.2 kg = 45.2 kgv is the speed of each seat = 6.73 m/sr is the radius of the platform = (12.5 m) / (2) = 6.25 mT = ( 45.2 x 6.73² ) / ( 6.25 )
T = 327.6 N
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The complete question is below:
An amusement park ride consists of a rotating circular platform 12.5 m in diameter from which 10 kg seats are suspended at the end of 2.54 m massless chains. When the system rotates, the chains make an angle of 24.4° with the vertical. The acceleration of gravity is 9.8 m/s^2.
1. What is the speed of each seat? Answer in units of m/s.
2. If a child of mass 35.2 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.
What can one say about the image produced by a thin lens that produces a positive magnification?
a. It is real and inverted
b. It is real and erect.
c.It is virtual and inverted.
d. It is virtual and erect.
The answer to this question depends on the type of thin lens being discussed and the position of the object.
What is magnification?Magnification is the process of enlarging an object or image beyond its normal size. Through magnification, objects can be seen with greater clarity and detail. It is often used in microscopes, telescopes, and magnifying glasses to allow for close examination of an object or image. Magnification can also be used to change the size of an image or object for a variety of applications.
Generally speaking, a thin lens that produces a positive magnification will produce an image that is real and inverted. This means that the image will be the same size as the object but will be inverted. This is because the rays of light being refracted by the lens are converging towards the same point and thus producing an image which is behind the lens and on the same side as the object. If the object is placed on the other side of the lens, this will result in a virtual and erect image.
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The image produced by a thin lens that produces a positive magnification is real and inverted. So correct option is a.
What do you mean by positive magnification?Positive magnification refers to the increase in size of an image produced by an optical system, such as a microscope or telescope. A positive magnification means that the image is larger than the object being viewed. A magnification of "x10" means that the image is ten times larger than the object being viewed.
A thin lens that produces a positive magnification will produce a real and inverted image.
When a lens has a positive magnification, it means that the image is larger than the object, and the image is on the same side of the lens as the object. Since the image is real, it means that it is formed by the actual convergence of light rays, and it can be projected on a screen. And since the image is inverted, it means that it is upside-down with respect to the object.
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In an orbiting spacecraft, you are handed two identical closed boxes, one filled with sand and the other filled with feathers. How can you tell which is which without opening the boxes
By observing both boxes in a microgravity environment we can deduce which box has feathers and which one has sand.
What is microgravity?
Microgravity is a condition in which the gravitational force experienced by an object is much weaker than the gravitational force experienced on the Earth's surface. It is characterized by a very small or negligible acceleration due to gravity. Microgravity can be found in environments such as orbiting spacecraft, the International Space Station, or high-altitude balloons.
In an orbiting spacecraft, where there is no gravity, you can tell which box is filled with sand and which is filled with feathers by performing a simple experiment.
Hold one of the boxes in one hand and the other box in the other hand.Release both boxes simultaneously.Observe the motion of the boxes.In a microgravity environment, both boxes will float in the air, but the box filled with sand will have more inertia and will tend to move less than the box filled with feathers due to their difference in mass. The box filled with feathers will have a lower mass and will be more affected by air resistance and other perturbations, thus moving more in the spacecraft.
Therefore, you can tell which box is filled with sand and which is filled with feathers by observing their motion in a microgravity environment without opening the boxes.
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Question 3(Multiple Choice Worth 5 points) (01.01 MC) Read the story description and historical context for the short story "Rules of the Game" and answer the question. Story Description: "Rules of the Game" tells the story of a girl who lives in San Francisco's Chinatown. She learns the strategies of chess but struggles to see eye-to-eye with her mother—possibly her wisest opponent and best teacher. In chess and in life, there are rules and choices. What's your next move? Historical Context: As a result of wars, famine, and political oppression, Chinese immigration to the United States dates back to the mid-1800s. Chinese immigrants came to the United States looking for better economic opportunities so they could provide for their families and send money to their relatives back home. San Francisco became a hub of Chinese culture; however, immigrants still faced many challenges like reduced wages, long work hours, and discrimination. Select the detail that supports the idea that Chinese immigrants were
Chinese immigrants sent money to their relatives back home.
Who are Chinese Migrants?Chinese immigrants were having a hard time in "china", not the USA, the Chinese father or mother sent money, from America, to china, because china was having a hard time, this also making the Chinese come to america.
Chinese immigration to the US has a long and occasionally contentious history. Due to organized labor lobbying and anti-Chinese sentiment, Congress passed the Chinese Exclusion Act in 1882, which virtually ended the immigration of Chinese workers.
On the other hand, the 1965 reduction of obstacles for non-European immigrants to the United States, as well as improving U.S.-China ties and China's relaxation of emigration rules in 1978, were game changers for growing immigration.
Therefore, Chinese immigrants sent money to their relatives back home.
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In Figure 23-29, a proton is a distance d/2 directly above the center of a square of side d. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge d.)
The electric flux through the square is 2 * k * e.
The electric flux through the square is equal to the electric field passing through the surface multiplied by the area of the surface. Since the proton is located at a distance d/2 above the center of the square and the square is one face of a cube with edge length d, the electric field at the center of the square is equal to the electric field at the center of the cube.
The electric field at a point in space due to a point charge is given by Coulomb's law, which states that the electric field E at a distance r from a point charge q is given by: E = k * q / r^2 where
E is the electric field.k is the Coulomb constant.q is the charge.r is the distance.Given that the proton has a charge of +e and is located d/2 above the center of the square of side d, the magnitude of the electric field at the center of the square is: |E| = k * e / (d/2)^2
Since the area of the square is d^2, the electric flux passing through the square is:
electric flux = |E| * d^2
Therefore, the electric flux through the square is k * e * d^2 / (d/2)^2
= 2 * k * e.
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what is the weight of an object in pounds that has a mass of 49 slugs? round your answer to three significant figures.
When the mass is 49 slugs, the item weight 407.68lbf.
What is a weight example?The International System of Units (SI) defines the newton as the unit of force, which is used to measure weight. For instance, a kilogram of matter weighs around 9.8 newtons on Earth's surface and roughly one-sixth as much on the Moon.We can not convert Kg to Newton, because Newton is a unit of Force whereas Kg is the unit of mass respectively.One newton is equal to 1 kilogram meter per second squared
Mass = m = 49 slugs
g=8.32ft/[tex]s^{2}[/tex]
To find weight:
Weight = mg
W = 49*8.32 ft/[tex]s^{2}[/tex]
W= 407.68
W= 407.68lbf
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The complete question is :
what is the weight of an object in pounds that has a mass of 49 slugs when g is 8.32 ft/[tex]s^{2}[/tex]? round your answer to three significant figures.
4) a very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v. since it is so elastic, the ball bounces back with the same speed v going upward. which of the following statements about the bounce are correct? (there could be more than one correct choice.) a) the ball had the same momentum just before and just after the bounce. b) the magnitude of the ball's momentum was the same just before and just after the bounce. c) the ball's momentum was conserved during the bounce. d) none of the above statements are correct.
When dropped from a specific height, a very stretched rubber ball hits the ground quickly to the left. The elastic nature of the ball causes it to rebound with
What has Elastic been famous for?
Elasticsearch, the centerpiece of the Elastic Stack, a collection of free and open technologies for data intake, enrichment, storing, analysis, and visualization, is renowned for its straightforward REST APIs, decentralized nature, speed, and scalability.
Where can you find elastic?
Designed to feel soft on the skin, cord elastic is frequently used in clothes that doesn't need as much stretch as well as in jewelry making. It's a fantastic choice for doll clothing or baby garments because of its tiny size. Often, cord elastic is used.
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for a 1.00 m (100 cm) crumple zone, how much deformation do you think is needed in order to keep the passenger the safest?
For a 1.00 m (100 cm) crumple zone, about 200 kN of deformation is needed in order to keep the passengers safest.
What are crumple zones?Crumple zones, also known as crush zones or crash zones, are structural safety features used in vehicles, primarily in automobiles, to extend the time before a change in velocity and consequently momentum results from the impact during a collision by means of a controlled deformation.
In recent years, they have also been added to trains and railcars. As the average force delivered to occupants is inversely proportional to the time over which it is applied, crumple zones are intended to extend the duration over which the overall force from the change in momentum is applied to a person.
The equation for the impulse here is:
F Δt = m Δv
where, v is the velocity and m is the mass.
The survival rate of dummy experiments shows about 90% for a 1 m crumple zone. Hence, a deformation of 200-300 kN is needed to keep the passengers safest.
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Part C Find the average momentum density (momentum per unit volume) in the light at the floor: Express your answer in kilograms per square meter second: Azd kg/m? Submit Request Answer
The average momentum density in the light at the floor without additional information such as the intensity, wavelength, and area of the light.
To find the average momentum density (momentum per unit volume) in the light on the floor, we would need additional information such as the intensity and wavelength of the light, as well as the area of the floor that the light is illuminating.
The formula for momentum density is given by p=I/c where I is the intensity of the light, c is the speed of light, and p is the momentum density. Without this information, it is not possible to provide an accurate answer for the average momentum density in the light on the floor in kilograms per square meter per second.
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Why is it important to include a section on your procedures and methods, as well as the materials you used, in a laboratory report about an experiment?
a.so readers know that your hypothesis was correct
b.so you don’t have to provide as much information about the results
c.so the experiment can be replicated by other scientists
d.so you can do the experiment more cheaply later
c. so the experiment can be duplicated by other scientists. It includes detailed information about the procedures used in an experiment, as well as the materials used. It is important because it allows other scientists to repeat the experiment to confirm the results.
Why is it an important part of scientific process?This is a crucial part of the scientific process and helps to establish the validity and reliability of the results. Having a clear and detailed record of the experiment also ensures that it can be repeated in the future, and provides a basis for further research and experimentation.
What are scientific methods of experimentation?he scientific method is a systematic and objective approach to solving problems and answering questions through empirical observation and experimentation.
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describe how you might use the color of a galaxy to determine something about what kinds of stars it contains.
The color of a galaxy can be used to determine something about what kinds of stars it contains by looking at the relative amounts of blue and red light.
How does the chemical composition of a galaxy relate to its color?The chemical composition of a galaxy is closely related to its color because the color of a galaxy is determined by the types of stars it contains. Galaxies that contain mostly young, hot, and blue stars will appear blue, while galaxies that contain mostly older, cooler, and red stars will appear red. The presence of elements such as hydrogen, helium, and oxygen can also affect a galaxy's color. For example, galaxies that contain high amounts of these elements tend to have more star formation, leading to a higher number of blue stars, and as a result, a bluer galaxy. The chemical composition also affects the brightness of the galaxy, with the galaxies that contain higher amounts of heavy elements tend to be brighter.
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What is the smallest height needed to make a wave?A. 6 feetB. 90 millimetersC. 20 millimetersD. any height
D. Any height. Wave height is determined by the amount of energy that is present in the wave and the distance between the wave crests. As long as there is energy present in the wave, it can form regardless of its height.
What is energy?Energy is a fundamental concept in physics, and is defined as the capacity for doing work. It can be transformed from one form to another, and is found in many forms such as thermal, kinetic, electrical, chemical, nuclear, and gravitational energy. Energy is found in the environment, in living things, and in the conversion of one form of energy to another. It is the driving force behind all physical, chemical, and biological processes. In the world of physics, energy is the ability to do work. It manifests itself in a variety of forms such as light, heat, electrical, gravitational, and chemical energy. Energy is never created or destroyed, but it can be converted from one form to another. The total amount of energy in the universe is constant and never changes, but it can be changed from one form to another. It is essential for life, as it is used to power everything from growth and development to communication and transportation.
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At one point in a pipeline, the water's speed is 3.00 m/s and the gauge pressure is 5.00×10^4 Pa. Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.
By using Benoulli's principle the gauge pressure (P2) at a second point in the line is 1.62 × 10∧5 Pa.
What is the purpose of Bernoulli's principle?The Bernoulli principle describes the conserve of mechanical work for all streamline which make up the flow and is primarily a statement on the energy conservation in a flowing fluid. When a vehicle goes quickly, it creates a low-pressure area, which causes dust to be pushed along in it.
Let pressure at at first point = P1
And, pressure at second point = P2
From Benoulli's principle -
P2 = P1 + 1/2 ρ(v1∧2 - v2∧2) + ρg (h1 - h2)
P2 = (5×10∧4 ) + 1/2 (1000) × ( (3 )∧2 - (0.75)∧2) + (1000) (9.8 ) × (11).
P2 = 1.62 × 10∧5 Pa
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a test of the prototype of a new automobile shows that the minimum distance for a controlled stop from 90 km/h to zero is 54 m. find the acceleration, assuming it to be constant as a fraction of the free-fall acceleration. the acceleration due to gravity is 9.81 m/s 2
A fraction of the free-fall the acceleration due to gravity acceleration of the car is -0.64525g .
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime. However, the end result is as if a force was applied.
Is gravity 9.8 m?Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second.
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a 1.50-kg cannon is mounted on top of a 2.00-kg cart and loaded with a 57.7 gram ball. the cannon, cart, and ball are moving forward with a speed of 1.17 m/s. the cannon is ignited and launches a 57.7 gram ball forward with a speed of 53.8 m/s. determine the post-explosion velocity (in m/s) of the cannon and cart. enter a negative value for a backward velocity and a positive value for an forward velocity.
the post-explosion velocity (in m/s) of the cannon and cart, is u = -o.9m/s
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
Let u be the cannon and cart's post-explosion velocities.
The law of conservation of momentum states that
(m₁ + m2)u + m3v = 0
Thus
u = - M3 /m1 + m₂ v =
Consequently, u = -(0.057 / 1.50 + 2.00) 53.8 = 0.876
u = -0.9m/s
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1. two particles are suspended in an electric field caused by a parallel-plate capacitor. the top plate is negatively charged and the bottom plate is positively charged.a) describe the expected behavior of the first particle in the electric field if the first particle is a proton. [ 2 ]b) show a force equation to describe the acceleration of the proton. [ 3 ]c) describe the expected behavior of the second particle in the electric field if the second particle is an electron. [ 2 ]d) show a force equation to describe the acceleration of the electron. [ 3 ]
depicts two negative charges balloons hanging from the ceiling via insulated cords. diagrams displaying the tension force in free bodies
Will there be a fee for this?
To demand payment from someone for a service you are providing for them or something you are offering to them is both intransitive and transitive. most clubs levie a fee for the privilege of using their tennis courts. You would be charged a little price for lodging and food. charge someone for something.
Which two categories of charges are there?
Positive charge, as shown by protons, and negative charge are the two different types of control (exhibited by electrons). The electromagnetic force becomes more complex as the charges move, according to Coulomb's law, which defines the electric forces among particles.
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Three charges are in a straight row. the first charge has a value of 5.00 x 10-5 c. the second charge also has a value of 5.00 x 10-5 c and is 2.50 cm to the right of the first charge. the third charge has a value of -2.50 x 10-5 c and is 2.00 cm to the right of the second charge.
The net force on the first charge is 3.04 × 10⁴ N.
What is the electric?Electricity is a form of energy generated by the movement of electrons through a conductor, such as a wire. It is a versatile and powerful form of energy that can be used to power a variety of devices, from household appliances to entire cities. It is also essential to many modern technologies, such as computers, mobile phones, and medical equipment. Electricity is an essential part of our daily lives and has become an integral part of modern society.
a) F[tex]_{net}[/tex] = F₁₂ + F₁₃
[tex]$= \frac{(9 \times 10^9) \times (5 \times 10^{-5}) \times (5 \times 10^{-5}) }{(2.50 \times 10^{-2})^2} + \frac{(9 \times 10^9) \times (5 \times 10^{-5}) \times (2.50 \times 10^{-5}) }{(4.50 \times 10^{-2})^2}[/tex]
= 3.04 × 10⁴ N
Thus, The net force on the first charge is 3.04 × 10⁴ N.
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Full question:
Three charges straight in a row. The first charge has a value of 5.00 x 10-5 C. The second charge has a value of 5.00 x 10-5 C and is 2.50 cm to the right of the first charge. The third charge has a value of -2.50x10-5 C and is 2.00 cm to the right of the second charge. a. Find the net force on the first charge.
30 J of work are done in 15 econd to puh a bowl of fruit horizontally. What wa the power delivered completing thi tak?
The power delivered in completing this task is 2,400 W.
What is power?Power is the ability or capacity to do or act. It is the capacity to influence others through either force or authority. Power is derived from a variety of sources including physical strength, political authority, and social status. Power can also be used to create, maintain, and change systems of behavior, thought, and belief. Power can be seen as an influence that one person or group has over another, with the capacity to make decisions and influence outcomes. Power can be used to accomplish both positive and negative goals. Ultimately, power is a tool that can be used to bring about change in the world.
Power = Work / Time
Power = 30 J / 15 s
Power = 2,400 W
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a high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. its maximum cruising speed is 105 mi/h. (round your answers to three decimal places.) (a) what is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes? mi (b) suppose that the train starts from rest and must come to a complete stop in 15 minutes. what is the maximum distance it can travel under these conditions? mi (c) find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart. min (d) the trip from one station to the next takes at minimum 37.5 minutes. how far apart are the stations?
The maximum distance the train can travel is 26.47 miles. If the train starts from rest and must come to a complete stop in 15 minutes, it can travel a maximum distance of 138600 ft.
What factors affect the maximum distance a train can travel?The maximum distance a train can travel is affected by several factors such as the initial velocity of the train, the time spent accelerating, the cruising speed, the time spent cruising, the time spent decelerating and the deceleration rate. Additionally, the train's engine power, fuel capacity, and the weight of the train also affect the maximum distance it can travel. In this case, the train starts from rest and has a constant acceleration of 10ft/s^2, a cruising speed of 105mi/h and a time of 15min before decelerating.
How do you calculate the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?The maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes can be found using the kinematic equation:
d = 1/2 x a x t^2 + v x t
Given,
a = 10 ft/s^2 (acceleration)
v = 105 mi/h = 150 ft/s (cruising speed)
t = 15 minutes = 900 seconds
d = 1/2 * 10 ft/s^2 * 900 seconds^2 + 150 ft/s * 900 seconds
d = 40,500 ft
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a 10.9 g bullet leaves the muzzle of a rifle with a speed of 527.5 m/s. what constant force is exerted on the bullet while it is traveling down the 0.7 m length of the barrel of the rifle?
The constant force is exerted on the bullet while it is traveling down the 0.7m length of the barrel of the rifle is 2166.42N
Given the mass of bullet (m) = 10.9g = 10.9 x 10^-3kg
The speed of bullet (v) = 527.5m/s
Length of barrel of rifle (d) = 0.7m
From Newtons laws of motion we know that F = ma where F is the force and a is acceleration and also v = at where t is time
The distance travelled = d
d = 1/2at^2 = 1/2a(v/a)^2 = v^2/2a
a = v^2/2d
Then F = ma = mv^2/2d
F = 10.9 x 10^-3 x ( 527.5)^2 / 2 x 0.7 = 2166.42N
Hence the constant force that is exerted on the bullet is 2166.42N.
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the spacecraft is using xenon as the propellant for the maneuver in the previous question. how would you size the tank?
the spacecraft is using xenon with a total spacecraft mass of 5 kg assumed. This simple formulation captured the interaction between propellant pressure and propellant tank volume.
A propellant (or propellent) is a mass that is expelled or expanded in order to produce a thrust or other motive force in accordance with Newton's third law of motion and "propel" a vehicle, projectile, or fluid payload. A reaction engine is the engine that expels the propellant in a vehicle. Although a propellant is technically the reaction mass used to generate thrust, the term "propellant" is commonly used to describe a substance that contains both the reaction mass and the fuel that stores the energy used to accelerate the reaction mass. For example, in chemical rocket design, the term "propellant" is frequently used to describe a combined fuel/propellant, although propellants should not be confused with fuel.
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a pitot-static probe can often be seen protruding from the underside or side of an airplane. as the airplane flies, the probe measures relative air speed. what type of measurement is this?
This is a measurement of relative air speed, also known as true airspeed.as the airplane flies, the probe measures relative air speed. what type of measurement is this.
What is airspeed?
Airspeed is the speed of an aircraft relative to the air through which it is moving. It is typically measured in knots, nautical miles per hour (knots), or kilometers per hour (kph).
Airspeed is important for pilots to know in order to safely and accurately navigate the airspace. An aircraft's airspeed has an effect on its performance, such as the rate of climb or descent, rate of turn, and stall speed. Airspeed is also important for aircraft designers, as it can affect the aerodynamic performance of the aircraft.
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A bicyclist rides 5.2 km due east, while the resistive force from the air has a magnitude of 3.4 N and points due west. The rider then turns around and rides 5.2 km due west, back to her starting point. The resistive force from the air on the return trip has a magnitude of 2.8 N and points due east.
The work done by resistive force from starting to return of the trip is -27.04KJ
What exactly is a resisting force?The resistance to movement is caused when two objects rub against one another is called friction. Friction occurs whenever two items come into interaction with one another. Friction acts in the exact opposite direction from the motion and works against it. The two surfaces' respective materials have an impact on how much friction exists.
d1 = 5.2km east ; d2 = 5.2 Km west
f1 = 2.4N ; f2 = 2.8N
Work done = F.s => F scosФ
Ф => Angle between force and displacement
W1 = f1 d1 cosФ
=> 2.4 x 5200mx cos180
=> - 12.480KJ
W2= f2 d2 cosФ
=> 2.8 x 5200m x cos180
=> -14.56KJ
Total work done => W1 + W2 = - 12.480KJ + (-14.56KJ)
=> -27.04KJ
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a bright line spectrum contains a line with a wavelength of 518m. determine the wavelength in meters
The wavelength of the light is rise to to 518 ×10⁻⁹ m. The recurrence of the shinning line is break even with to 5.79 × 10¹⁴ Hz. The color of light is yellow within the obvious range.
What are recurrence and wavelength?
The recurrence can be depicted as the number of motions of a wave in one moment and has S.I. units of per moment or Hertz.
The wavelength can be illustrated as the separate between the two adjoining focuses in stage w.r.t each other and includes a unit of meters.
The relationship between recurrence (ν), wavelength (λ), and speed of light (c) can be composed as follows: c = νλ
Given, the wavelength of the line, λ = 518 nm = 518 ×10⁻⁹ m
The speed of light is rise to to: c = 3 × 10⁸ m/s
The recurrence of the shinning line can decide from the above-mentioned relationship:
ν = c/λ = 3×10⁸/ 518 ×10⁻⁹ = 5.79 × 10¹⁴ Hz
Therefore, the recurrence of the shinning line is break even with to 5.79 × 10¹⁴ Hz. The color of light is yellow within the unmistakable spectrum.
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a ball is thrown directly up from a height of 0m with an initial speed of 2m/s. calculate the height of the apex of the throw. (section 3.9.)
A ball is thrown directly up from a height of 0m with an initial speed of 2m/s. The height of the apex of the throw is 0.897 meters.
What is Initial speed?Initial speed refers to the velocity or rate of motion of an object at the beginning of a period or the start of a specific event. It is typically represented by the symbol "u" and is measured in units of distance per time, such as meters per second (m/s). The initial speed of an object can be determined by measuring its position at the beginning and end of a period and using the formula: speed = distance/time.
The height of the apex of the throw can be calculated using the following equation:
y = vi*t + (1/2)gt^2
where,
y = height of the apex (in meters)
vi = initial velocity (in m/s) = 2 m/s
t = time of flight (in seconds)
g = acceleration due to gravity (in m/s^2) = 9.8 m/s^2
Since the ball is thrown directly upwards and the initial velocity is given, we can use the following equation to calculate the time of flight:
t = 2*vi/g
Substituting the given values, we get:
t = 2*2/9.8 = 0.408 seconds
Now we can substitute the calculated value of t and the given value of vi into the first equation to get the height of the apex:
y = vit + (1/2)gt^2
y = 20.408 + (1/2)9.80.408^2
y = 0.816 + 0.081 = 0.897 meters
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