The amount of work required to move 3.0 coulombs of electric charge a distance of 0.010 meter through a potential difference of 9.0 volts is 0.270 joules.
Work can be determined using the formula;
W = qVd
Where;
q = 3.0 coulombs
V = 9.0 volts
d = 0.010 meters
Substituting the values in the formula above gives;
W = (3.0 C)(9.0 V)(0.010 m)W = 0.27 J
Hence, the amount of work required to move 3.0 coulombs of electric charge a distance of 0.010 meter through a potential difference of 9.0 volts is 0.27 joules.
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in hydraulic pressure the area of the larger piston is half of the smaller piston.if the force of 4000N is applied on the smaller piston.what is the distance covered by the train ?
Answer:
The distance moved by the train is half the distance moved by the force
Explanation:
Given that the force applied to the smaller piston, F₂ = 4,000 N
The pressure in the area of the larger piston, A₁ = 2 × The pressure in the smaller piston, A₂
∴ A₁ = 2 × A₂
We have;
\(\dfrac{A_1}{A_2} = \dfrac{2\cdot A_2 }{A_2} =2 = \dfrac{F_1}{F_2}\)
F₁ = 2·F₂ = 2 × 4,000 N = 8,000 N
F₁·d₁ = F₂·d₂
∴ 8,000 N ×d₁ = 4,000 N × d₂
d₁ = 1/2·d₂
∴ The distance moved by the train is half the distance moved by the force
As discussed in the text, Annie Jump Cannon and her colleagues developed our modern system of stellar classification. Why do you think rapid advances in our understanding of stars folllowed so quickly on the heels of this effort? What othet areas of science have had huge advances in understanding following an improved system of classification?
The development of the modern system of stellar classification by Annie Jump Cannon and her colleagues allowed for a standardized and systematic categorization of stars based on their spectral characteristics. This classification system provided a solid foundation for studying and understanding stars, enabling researchers to identify patterns, analyze data more effectively, and make significant discoveries more efficiently.
The development of a systematic classification system for stars provided astronomers with a framework to organize and analyze observational data. By categorizing stars based on their spectral characteristics, such as temperature, luminosity, and composition, astronomers were able to identify patterns and correlations among different types of stars. This allowed for the formulation of theories and models that could explain the observed phenomena and properties of stars.
In biology, the Linnaean system of classification, which classifies organisms into hierarchical categories based on shared characteristics, greatly advanced our understanding of the diversity and relationships among different species. This classification system laid the foundation for the study of evolutionary biology and genetics.
In chemistry, the periodic table of elements, developed by Dmitri Mendeleev, revolutionized the field by organizing elements based on their atomic number and properties. This classification system enabled scientists to predict the existence and properties of yet-to-be-discovered elements and facilitated the understanding of chemical reactions and bonding.
In taxonomy, the development of modern classification systems for plants, animals, and other organisms has led to significant advances in understanding biodiversity, evolutionary relationships, and ecological interactions.
In summary, improved systems of classification in various scientific fields have accelerated our understanding by providing a systematic framework for organizing and analyzing data, identifying patterns, and facilitating the formulation of theories and models.
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a) Townsend's breakdown theory explains how a single travelling electron in an electric field can cause cumulative ionization. Using a suitable diagram, explain this theory and describe how breakdown happens in a gaseous medium. b) A steady current of 590μA flows through the plane electrode separated by a distance of 0.55 cm when a voltage of 15.5kV is applied. Determine the first Townsend coefficient if a current of 60μA flows when the distance of separation is reduced to 0.15 cm and the field is kept constant at the previous value. c) With the aid of a diagram, briefly explain the statistical and formative time lags events to explain the phenomenon of high voltage. [Total: 25 marks]
a) Townsend’s breakdown theory explains the process of ionization in a gas. This theory explains how a single electron moving in an electric field can cause cumulative ionization. It is assumed that a large number of electrons will move with high velocity in a gas when an electric field is applied to the gas between two electrodes, colliding with other molecules and losing energy in the process. This process will continue until an electron has enough energy to ionize an atom, creating a positive ion and a free electron. A positive ion is created by this process, which moves towards the negative electrode, and the free electron moves towards the positive electrode. This process of ionization continues in a cumulative way if there are enough electrons with high energy.
The breakdown in a gaseous medium occurs when the electric field exceeds the critical value. When the electric field is not strong enough, electrons created by ionization do not have enough energy to create more ionization. The potential difference at which breakdown occurs is called the breakdown potential or striking potential. When the electric field is increased further, breakdown occurs in the gaseous medium. Breakdown can be in the form of a spark or a glow discharge, depending on the gas pressure and the distance between the electrodes. The Townsend discharge process occurs at a very low pressure, where there are few collisions between electrons and atoms. The number of ions produced per unit length is proportional to the electric field strength. The rate of production of new electrons in the gas, on the other hand, is proportional to the number of free electrons in the gas. In this way, the Townsend first ionization coefficient, α, is defined.
b) The first Townsend coefficient (α) is defined as the number of ion pairs produced per unit length of the path of the electron with energy just enough to produce ionization in the gas. This can be calculated using the formula:
alpha = frac{Delta i}{dx\frac{1}{N}
Where,
Δi = current difference due to ionization
dx = distance traveled by the ionizing electron
N = number of atoms in a unit volume of the gas
Given that,
Current, i1 = 590μA
Voltage, V1 = 15.5kV
Distance of separation, d1 = 0.55 cm
Current, i2 = 60μA
Distance of separation, d2 = 0.15 cm
Using the above formula, the first Townsend coefficient can be calculated as:
alpha = frac{(i_1 - i_2)}{d_1 - d_2}frac{1}{N}
alpha = frac{(590 - 60) times 10^{-6}}{(0.55 - 0.15) times 10^{-2}}frac{1}{N}
c) A high voltage is defined as the voltage at which the electric field is sufficient to ionize the gas in the space between two electrodes. When a high voltage is applied between two electrodes in a gas, the gas is ionized, creating a plasma. Electrons and positive ions are created in this plasma, which move towards opposite electrodes. The time lag between the application of high voltage and the start of the current flow is called the statistical time lag. The statistical time lag is due to the random nature of the ionization process. When a high voltage is applied, the free electrons and ions take some time to reach the electrodes, causing a formative time lag. The formative time lag is proportional to the distance between the electrodes and the gas pressure.
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Ellipse Foci and Fermat’s Principle Imagine you have an ellipse with major and minor axes a and b whose interior is coated with shiny, reflective metal. At one focus of the ellipse, we place a point light source which emits rays in the plane of the ellipse. At the other focus, we place a point-like perfect light absorber. There is vacuum everywhere else inside the ellipse. The goal of this problem is to get a deeper understanding of the reason why all rays emitted from the source are absorbed after at most one bounce off the ellipse wall. There will not be much calculation to do. 1. For a given ray, characterize its initial emission direction with the angle 0 E (0,21]. Make a plot of T(0), where T is the time it takes the ray to reach the absorber. Fully label the horizontal and vertical axes of your plot, and define any symbols you use via a diagram. You can feel free to state geometrical properties of ellipses without proof. 2. Based on this plot and using Fermat’s principle, explain why all rays (not just a specific few) reach the absorber after at most one bounce.
1. For a given ray, characterize its initial emission direction with the angle 0 E (0,21]. Make a plot of T(0), where T is the time it takes the ray to reach the absorber. Fully label the horizontal and vertical axes of your plot, and define any symbols you use via a diagram. You can feel free to state geometrical properties of ellipses without proof.
To characterize the initial emission direction of a given ray, we use the angle 0 E (0,21].The vertical and horizontal axes of the plot are labeled as:Vertical axis: T (time taken to reach the absorber)Horizontal axis: 0 (the angle of incidence at which the ray of light hits the ellipse)The symbol used in the plot is a (the length of the major axis of the ellipse). The diagram below shows the plot for T (0)2. Based on this plot and using Fermat’s principle, explain why all rays (not just a specific few) reach the absorber after at most one bounce.
The principle of Fermat states that when a light ray travels between two points, it always takes the path of least time. This is also known as the principle of least time. In this scenario, all rays emitted from the source are absorbed after at most one bounce off the ellipse wall due to Fermat's principle.If a ray of light is emitted from the source and takes more than one bounce off the ellipse wall, there will be another ray that has a shorter path of least time. Therefore, it must reach the absorber faster than the first ray. As a result, the first ray will not be absorbed at the absorber.Therefore, all rays reach the absorber after at most one bounce off the ellipse wall by Fermat's principle.
Ellipse Foci and Fermat’s Principle Imagine you have an ellipse with major and minor axes a and b whose interior is coated with shiny, reflective metal. At one focus of the ellipse, we place a point light source which emits rays in the plane of the ellipse. At the other focus, we place a point-like perfect light absorber. There is vacuum everywhere else inside the ellipse. The goal of this problem is to get a deeper understanding of the reason why all rays emitted from the source are absorbed after at most one bounce off the ellipse wall. There will not be much calculation to do. 1. For a given ray, characterize its initial emission direction with the angle 0 E (0,21]. Make a plot of T(0), where T is the time it takes the ray to reach the absorber.
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an intersection that has signals or signs to assign the right of way is called
a. a registered intersection.
b. an unregistered intersection.
c. a controlled intersection.
d. an uncontrolled intersection.
A controlled intersection is one that contains signals or signs to designate the right of way.
Describe signal.An electrostatic or electric current known as a signal is used to transfer information from one device or networks to another. Although it can sometimes take other dimensions, such as current, a signal in electronics frequently consists of a time-varying temperature that is also a electromagnet carrying information.
What characteristics do signals have?They can be deterministic or random, deterministic or agnostic, continuous or continuous time, both analog and digital, periodic or nonstationary, finite or infinite. They can also be separated into groups based on the causality and symmetry of those groups. An optimum impulse signal is one that is 0 everywhere else but infinitely high at the origin.
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A light ray travels through water and reflects off a glass surface back into the water. How do the phases of the incident light and the reflected light compare?.
The light travels through water and gets reflected off on the glass surface into the water. There had been a 180° phase change between the incident and the reflected wave. This is called Total internal reflection (TIR).
In total internal reflection, in physics, a ray of light in a medium such as water or glass is completely reflected back into the medium from the surrounding surfaces. This phenomenon occurs when the angle of incidence is greater than a certain critical angle called the critical angle.
TIR only occurs when both of the following two conditions are met
Light is in a denser medium and is approaching a less dense medium. The angle of incidence should be greater than the so-called critical angle.Thus, the phases which include the TIR are the incident and the reflected phase and the incident light hits the surface while the reflected light reflects back.
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please answer asap its important
Answer:
It is the green answer.
Explanation:
Please mark brianliest.
an arrow is shot horizontally at a target 5 meters away with a velocity of 5 m/s. the target and bow are both 3 meters above the ground. will the arrow fall short, hit the target head on, or go above and past the target and by how much
Answer:
okk pls mark brainlist
Please help I’m dying trying to solve this.
Please find attached photograph for your answer. The answers are all estimated values. Hope it helps! Please do comment
A car uses its brakes to stop on a level road.
during this process, there must be a conversion
of kinetic energy into
(1) light energy
(2) nuclear energy
(3) gravitational potential energy
(4) internal energy
Light is a type of electromagnetic radiation with a wavelength that the human eye can perceive. Kinetic energy is what it is. There needs to be a conversion during this process.
Is light energy kinetic or potential?
Kinetic energy must be transformed into the following forms of energy: (1) light energy, (2) nuclear energy, (3) gravitational potential energy, and (4) internal energy.
Can you describe nuclear energy as potential energy?
Kinetic and potential energy can take on a variety of shapes. The energy of gravity is one of them, along with mechanical, chemical, heat, electrical, optical, and nuclear energy.
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Which of the following does Bernoulli's principle help to explain?
A. Flying
B. Surface tension
C. Floating
D. Hydraulics
Three charges lie along the x-axis. One positive charge, q1 = 4.80*10^-18 C, is at x = 3.72 m, and another positive charge, q2 = 1.60*10^-19 C, is at the origin.
At what point on the x-axis must a negative charge, q3, be placed so that the resultant force on it is zero?
Answer:
The third charge needs to be placed at \(x \approx 0.57\; \rm m\).
Explanation:
Both \(q_1\) and \(q_2\) would attract \(q_3\).
These two electrostatic attractions need to balance one another. Hence, they need to be opposite to one another. Therefore, \(q_1\) and \(q_2\) need to be on opposite sides of \(q_3\). That is possible only if \(q_3 \!\) is on the line segment between \(q_1 \!\) and \(q_2 \!\).
Assume that \(q_3\) is at \(x\; \rm m\), where \(0 < x < 3.72\) (in other words, \(q_3 \!\) is on the line segment between \(q_1\) and \(q_2\), and is \(x\; \rm m \!\) away from \(q_2 \!\).)
Let \(k\) denote Coulomb's constant.
The magnitude of the electrostatic attraction between \(q_1\) and \(q_3\) would be:
\(\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}}\).
Similarly, the magnitude of the electrostatic attraction between \(q_2\) and \(q_3\) would be:
\(\displaystyle \frac{k\cdot q_2 \cdot q_3}{x^{2}}\).
The magnitudes of these two electrostatic attractions need to be equal to one another for the resultant electrostatic force on \(q_3\) to be \(0\). Equate these two expressions and solve for \(x\):
\(\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}} = \frac{k\cdot q_2 \cdot q_3}{x^{2}}\).
\(\displaystyle \frac{q_1}{(3.72 - x)^{2}} = \frac{q_2}{x^{2}}\).
\(\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1}\).
\(\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1} = \frac{1}{30}\).
By the assumption that \((0 < x < 3.72)\), it should be true that \((x > 0)\) and \((3.72 - x > 0)\). Therefore, \(\displaystyle \frac{x}{(3.72 - x)} > 0\).
Take the square root of both sides of the equation \(\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{1}{30}\).
\(\displaystyle \sqrt{\frac{x^2}{(3.72 - x)^{2}}} = \sqrt{\frac{1}{30}}\).
\(\displaystyle \frac{x}{3.72 - x} = \frac{1}{\sqrt{30}}\).
\(\sqrt{30}\, x = 3.72 - x\).
Therefore:
\(\left(1 + \sqrt{30}\right)\, x = 3.72\).
\(\displaystyle x = \frac{3.72}{1 + \sqrt{30}} \approx 0.57\).
Hence, \(q_3\) should be placed at \(x \approx 0.57\; \rm m\).
what is the velocity of a plane that traveld 3000 miles from new york to california in 5.0 hours
The force of gravity depends on the mass of objects and the distance between them. TRUE OR FALSE?
The force of gravity depends on the mass of objects and the distance between them. This is true statement.
What is force?Physics defines force as the push or pull that modifies the velocity of a massed object.
The ability to change a body's resting or moving condition is referred to as an external force. There is a magnitude and a direction to it.
You may determine the Force using a spring balance. The SI's measure of force is the Newton.
The force of gravity between two objects is directly proportional to the mass of the object and inversely proportional to the square of the distance between them.
Hence, the force of gravity depends on the mass of objects and the distance between them. This is true statement.
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Which describes how to calculate density? mass divided by volume volume divided by mass mass added to volume volume subtracted from mass
Answer:
Mass divided to volume (D = M/V)
Explanation:
Its the formula :)
Answer:
A. mass divided by volume
Explanation:
The density formula is given as:
d=m/v
where m is the mass and v is the volume.
In this formula, the mass of an object is divided by its volume. Therefore, the correct answer is A. mass divided by volume.
Some knowledge of radioactivity would be useful for understanding which of
the following?
Check all that apply.
A. certain medical procedures
n B. radon in homes
C. rocket boosters on the space shuttle
O D. determining ages of fossils
SUBMIT
Some knowledge of radioactivity would be useful for understanding the certain medical procedures. Option A is correct.
What is radioactivity?The act of producing radiation spontaneously is known as radioactivity. This is accomplished by an unstable atomic nucleus that want to give up some energy in order to move to a more stable form.
Radiation is being employed to assist humanity in medical, academia, and industry, as well as to generate power.
Radiation is also important in agriculture, archaeology, space exploration, law enforcement, geology a variety of other fields.
Some knowledge of radioactivity would be useful for understanding the certain medical procedures.
Hence, option A is correct.
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The distance versus time graph for Object A and Object B are shown. *A graph titles Distance vs Time. A curved line is drawn through point 10 on y axis and this line is labeled Object A. The graph for Object B is shaped like a step passing through the origin* Which object moves with changing speed? A. Only Object B, because the graph has straight lines B. Only Object A, because the graph starts from the origin C. Both Object A and Object B, because the slope of the graph is the same throughout D. Both Object A and Object B, because different distances are traveled in the same time interval
Answer D. Both Object A and Object B, because different distances are traveled in the same time interval
Explanation:
It is known as uniform motion when an object moves in a straight path at a constant speed. This shows that even though the body covers the same distance in the same period of time, its velocity remains constant.The body will not accelerate in the case of uniform rectilinear motion. Thus, option D is correct.
What different distances are travelled in same time interval?It's crucial to keep in mind that the distance travelled need not match the size of the displacement (i.e., distance between the two points). The total distance travelled will be more than the amount of the displacement between those two points, specifically if an object changes direction during its journey.
Therefore, Additionally, an object is considered to be moving with constant velocity if it covers the same distance every second. This implies that both the magnitude and the direction of the velocity (or speed) are constant.
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A quarterback back pedals 2.5 meters northward and then
runs 6.8 meters southward.
Answer:
The travels is 9.3 and displacement of 4.3 meters
Explanation:
The computation of distance and displacement is shown below:-
Distance = Northward meters + Southward meters
= 2.5 meters + 6.8 meters
= 9.3 meters
Displacement= Final - Initial distance
= 6.8 meters - 2.5 meters
= 4.3 meters
Direction→southward
Here direction is going towards the southwards as southwards distance in higher than the northward distance of displacement is southward.
explain the energy transfer that occurs between the fan, the windmill, and the weight beginning when the fan is turned on after it is turned off
Answer:
A wind turbine transforms the mechanical energy of wind into electrical energy. A turbine takes the kinetic energy of a moving fluid, air in this case, and converts it to a rotary motion. As wind moves past the blades of a wind turbine, it moves or rotates the blades. These blades turn a generator
Có mấy cách đo đại lượng vật lí
Answer:
please write in english
you put some water at 60 c in a plastic milk carton and seal the top very tightly so gas cannot enter or leave the carton. What happens when the water cools
After a while, as the water cools down, the pressure inside the carton reduces, and a vacuum forms inside the carton.The vacuum formed inside the carton causes the walls of the carton to compress .
When you lace water at 60°C in a plastic milk carton and seal the top tightly, gas cannot enter or leave the carton nd the carton may collapse. If the carton is strong enough, it may not collapse, but the pressure inside the carton will be significantly less than the atmospheric pressure outside.
When you place water at 60°C in a plastic milk carton and seal the top tightly, gas cannot enter or leave the carton. After a while, as the water cools down, the pressure inside the carton reduces, and a vacuum forms inside the carton. The pressure inside the carton decreases because the cooling water contracts, and the gas in the carton contracts, taking up less space. This results in the gas particles striking the carton walls with less force, which decreases the pressure of the gas in the carton.
The vacuum formed inside the carton causes the walls of the carton to compress, and the carton may collapse. If the carton is strong enough, it may not collapse, but the pressure inside the carton will be significantly less than the atmospheric pressure outside. The pressure inside the carton will be lower because the pressure of the atmosphere outside will be greater than the pressure inside the carton. Thus, if you try to open the carton, you will hear a hissing sound as the air rushes inside to fill the vacuum created inside the carton.
When you put water at 60°C in a plastic milk carton and seal the top very tightly so that gas cannot enter or leave the carton, and it cools down, the pressure inside the carton reduces, and a vacuum forms inside the carton. This vacuum will cause the walls of the carton to compress, and the carton may collapse. If the carton is strong enough, it may not collapse, but the pressure inside the carton will be significantly less than the atmospheric pressure outside. When you try to open the carton, you will hear a hissing sound as the air rushes inside to fill the vacuum created inside the carton.
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2
A simple circuit contains a battery and a resistor.
Over 3.0 hours, 29 000 C of charge passes through the resistor.
Calculate the current flowing through the circuit during this time.
Give your answer to two significant figures.
Answer:
Approximately \(2.69\; {\rm A}\).
Explanation:
Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:
\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).
Electric current \(I\) is the rate of flow of electric charge.
In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:
\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).
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A cell of e.m.f. 2.0 V can drive a current of 0.5 A round a circuit for 10 hours. How much chemical energy is transferred to electrical energy in this time? How long would you expect the same cell to maintain a current of 0.2 A?
Answer:
\(36 kJ; 9\times10^5s = 25h\)
Explanation:
Let's assume the circuit runs DC with a purely resistive load, and every component has efficiency 1, so no energy is dissipated.
The power generated by the cell is equal to the power absorbed by the load, which is the product of the tension drop (equal to the emf generated by the cell by KVL) times the current flowing through it: \(2.0V\times 0.5A = 1.0 W\). Remembering the definition of power and the relationship with energy, we obtain
\(P=\frac Et \rightarrow E = 1W\times 10h = 1W\times 36000 s = 36 kJ\)
If the current becomes \(0.2A\), and the energy stored inside the cell doesn't change, you just scale up by a factor \(0.5/0.2= 2.5\), thus taking 25 hours to discharge. How?
The power absorbed with the new, smaller current, is \(2.0V \times 0.2A= 0.4W\). Back to the definition of power, replacing this new value and keeping the same energy value in the cell we get
\(P= \frac Et \rightarrow t= \frac E P = \frac {3.6\times 10^4J}{0.4W}= 9\times 10^5s = 25h\)
I NEED HELP ASAP PLSS
Answer:
C.) The United States would become less dependent on energies that emit greenhouse gases.
Explanation:
If nuclear energy increased, it would occupy a larger piece of the pie chart. The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant. This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used. Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2. An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.
What is the size and position of an image formed by a plane mirror?1) same size, closer to the mirror2) same size, same distance away from the mirror3) enlarged, closer to the mirror4) reduced, farther from the mirror
Answer:
2) same size, same distance away from the mirror
Explanation:
The image formed by a plane mirror has the same size and it is at the same distance of the object. It is also reversed from left to right. So, the size and position of an image formed by a plane mirror are
2) same size, the same distance away from the mirror
how does charles law, archimedes principle, and boyles law the three principles above explain hot-air balloon flight?
The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law).
Hot-air balloon flight can be explained by the combined principles of Charles's Law, Archimedes' Principle, and Boyle's Law.
Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming the pressure remains constant. In the case of a hot-air balloon, the air inside the balloon is heated, causing the gas molecules to move faster and increase in temperature. As a result, the volume of the gas expands, leading to an increase in the volume of the balloon.
Archimedes' Principle states that an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. In the context of a hot-air balloon, the heated air inside the balloon is less dense than the surrounding cool air. The buoyant force acting on the balloon is equal to the weight of the air displaced by the balloon. This buoyant force is greater than the weight of the balloon itself and the payload, causing the balloon to rise.
Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming the temperature remains constant. When the air inside the balloon is heated, the volume increases. As a result, the pressure inside the balloon decreases relative to the surrounding air pressure. The pressure difference creates a net upward force, contributing to the balloon's ascent.
In summary, the combined effects of Charles's Law, Archimedes' Principle, and Boyle's Law explain hot-air balloon flight. The heating of air inside the balloon causes the volume to expand (Charles's Law), resulting in a decrease in the pressure compared to the surrounding air (Boyle's Law). The buoyant force (Archimedes' Principle) acting on the less dense heated air allows the balloon to rise.
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A cars velocity changes from 0 m/s to 30 m/s in 10 seconds. Calculate acceleration.
Answer:
3 m/s^2
Explanation:
acceleration = vf-vi/t = (30 m/s-0 m/s)/10 s = 3 m/s^2
The position of a particle changes from 1 = (4.0i + 4.5j) cm to r2 = (2.5i + −2.5j) cm.What is the particle's displacement (in cm)? (Express your answer in vector form.\
The particle's displacement can be found by subtracting its initial position vector from its final position vector. In this case, the displacement vector is (-1.5i - 7j) cm.
Displacement is a vector quantity that represents the change in position of an object. It is calculated by subtracting the initial position vector from the final position vector.
In this problem, the initial position vector is given as \(r_{1}= (4.0i + 4.5j)\) cm and the final position vector is given as \(r_2 = (2.5i + -2.5j)\) cm. To find the displacement vector, we subtract the initial position vector from the final position vector:
\(Displacement= r_2-r_1\\=(2.5i + -2.5j) - (4.0i + 4.5j)\)
To perform the subtraction, we subtract the corresponding components of the vectors:
Displacement = (2.5i - 4.0i) + (-2.5j - 4.5j)
Simplifying the expression, we find:
Displacement = -1.5i - 7j cm
Therefore, the particle's displacement vector is (-1.5i - 7j) cm. This indicates that the particle has moved 1.5 cm in the negative x-direction and 7 cm in the negative y-direction from its initial position.
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A person travels from Point A to Point B for 30 meters towards south in 4 seconds.
Then he travels from Point B to Point C for 40 meters towards east in 6 seconds. What is his average Speed and average Velocity?
The person's average speed is 7 meters/second. The person's average velocity is 5 m/s and east of south at an angle of 53.1°.
What is average velocity?Change in position or displacement divided by time intervals in which the displacement occurs is called average velocity.
As, total distance = 30 meters + 40 meters = 70 meters
and total time = 4 seconds + 6 seconds = 10 seconds
Average speed is total distance/ total time
= 70 meters / 10 seconds
Average speed = 7 meters/second
Therefore, the person's average speed is 7 meters/second.
|displacement| = √((30 m)² + (40 m)²) = 50 m
Displacement vector points in the direction from Point A to Point C, which is tan⁻¹(40/30) = 53.1° east of south.
Total time taken is 10 seconds, so the average velocity is:
Average velocity = displacement / total time
So, average velocity=50 m / 10
Average velocity = 5 m/s, east of south at an angle of 53.1°
Therefore, the person's average velocity is 5 m/s, east of south at an angle of 53.1°.
To know more about average velocity, refer
https://brainly.com/question/1844960
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a cross country runner runs 10 km in 40 minutes. what is his average speed
◈ Average speed is measured as the ratio of total distance travelled to the total time taken.
Given : d = 10km and t = 40min
To Find : Vav
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፨ Conversion :-
60 min = 1 h
40 min = 40/60 = 2/3 h
\(:\implies\sf\:V_{av}=\dfrac{d}{t}\)
\(:\implies\sf\:V_{av}=\dfrac{10\times 3}{2}\)
\(:\implies\sf\:V_{av}=\dfrac{30}{2}\)
\(:\implies\:\boxed{\bf{\orange{V_{av}\:15\:kmph}}}\)