Therefore, the electric field at the position (5.0 cm, 0 cm) is 1.144 N/C in the x-direction and the electric field at the position (-5.0 cm, 5.0 cm) is 0.468 N/C in both x and y directions.
A +13 nC charge is located at the origin. The expression to find the electric field at a given position is
E=KQ / r²,
where K is Coulomb's constant, Q is the charge and r is the distance between the charge and the point where we want to find the electric field.
So, A) The position at which electric field is to be calculated is
(x1,y1)= (5.0 cm, 0 cm).
Hence, distance
r = \(\sqrt{((5.0 cm)^{2} + (0 cm)^{2})}\)
= 5.0 cm (as the point lies on x-axis).
Now, Electric field vector E = KQ / r²
= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (5.0 * 10{-2} m)^{2}\)
= 1.144 N/C
In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively.
Therefore, E = Exi
= 1.144 N/C (as the electric field is only in the x-direction and there is no component of electric field in the y-direction)Hence, the main answer is: 1.144, 0
Electric field vector E = KQ / r²
= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (5.0 * 10{-2} m)^{2}\)
= 1.144 N/C
In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively. Therefore,
E = Exi = 1.144 N/C (as the electric field is only in the x-direction and there is no component of electric field in the y-direction)B) The position at which electric field is to be calculated is (x2,y2)=(-5.0 cm, 5.0 cm).
Hence, distance
r = \(\sqrt{((-5.0 cm)^{2}+ (5.0 cm)^{2})}
= 7.07 cm.
Now, Electric field vector
E = KQ / r²
= \(9 *10^{9} N.m² / C² * 13 * 10{-9}C / (7.07 * 10{-2} m)^{2}\)
= 0.659 N/C
In component form, E = Exi + Eyj, where i and j are the unit vectors in the x and y directions respectively.
Therefore, E = 0.468i + 0.468j (as the electric field makes an angle of 45° with both the x-axis and y-axis) answer is: 0.468
Therefore, the electric field at the position (5.0 cm, 0 cm) is 1.144 N/C in the x-direction and the electric field at the position (-5.0 cm, 5.0 cm) is 0.468 N/C in both x and y directions.
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In a system with two finite slits (e.g., slits wider than the wavelength of light): 1. The details of the pattern are all set by the separation of the slits. 2. The individual fringe spacing is set by the slit width, the envelope pattern is set by the separation of the slits. 3. The details of the pattern are all set by the slit width. 4. The individual fringe spacing is set by the separation of the slits, the envelope pattern is set by the slit width.
The correct option is: Option 4.
The individual fringe spacing is set by the separation of the slits, the envelope pattern is set by the slit width.
How are patterns determined in a two-slit system?In a system with two slits, the interference pattern that is observed is determined by both the separation of the slits and the width of the slits. The individual fringe spacing, which refers to the distance between adjacent bright or dark fringes, is primarily influenced by the separation of the slits.
A smaller separation leads to wider spacing, while a larger separation results in narrower spacing. On the other hand, the envelope pattern, which refers to the overall shape and intensity distribution of the interference pattern, is primarily determined by the width of the slits.
A wider slit produces a broader and less distinct envelope pattern, while a narrower slit results in a sharper and more defined envelope pattern.
Therefore, Option 4 is correct.
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Which statements are true for an electron moving in the direction of an electric field and why? (There may be more than one correct choice.)
(a) Its electric potential energy increases as it goes from high to low potential.
(b) Its electric potential energy decreases as it goes from high to low potential.
(c) Its potential energy increases as its kinetic energy decreases.
(d) Its kinetic energy decreases as it moves in the direction of the electric field.
(e) Its kinetic energy increases as it moves in the direction of the electric field.
The correct statements of an electric field are: (a) Its electric potential energy increases as it goes from high to low potential. (d) Its kinetic energy decreases as it moves in the direction of the electric field.
(a) When an electron moves from a region of high electric potential to a region of low electric potential, its electric potential energy increases. This is because the electron experiences a change in potential energy due to the electric field. Moving in the direction of the electric field, the electron gains potential energy. (d) As the electron moves in the direction of the electric field, its kinetic energy decreases. This is because the electric field does work on the electron, converting its kinetic energy into potential energy. The electron loses kinetic energy as it accelerates in the direction of the field. (c) and (e) are incorrect statements. The potential energy and kinetic energy of the electron are not directly related in this context. While the electron's potential energy may change, its kinetic energy does not necessarily follow a predictable pattern solely based on the direction of the electric field.
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Please help me to solve this, I don’t really know what to do.
A device requires 5 amps to operate properly.
What total resistance is needed in order to obtain 5 amps when 110 volts is applied across a circuit?
If the device has a resistance of 8 ohms, what additional resistor needs to be added to the circuit and how should the resistor and device be hooked up?
Explanation:
Use Ohm's Law
V / R = I
I = 5A
V = 110V
R =?
Solve for R
if you need further help let me know
A poker is a stiff, nonflammable rod used to push burning logs around in a fireplace. For safety and comfort of use, should the poker be made from a material with (a) high specific heat and high thermal conductivity(b) low specific heat and low thermal conductivity (c) low specific heat and high thermal conductivity(d) high specific heat and low thermal conductivity?
The best material for a poker used in a fireplace should have both high specific heat and high thermal conductivity. This means that option (a) is the correct answer.
- Specific heat refers to the amount of heat energy required to raise the temperature of a given mass of material by a certain amount. A high specific heat means that the material can absorb and hold a significant amount of heat energy.
- Thermal conductivity refers to the ability of a material to conduct heat. A high thermal conductivity allows the material to transfer heat efficiently.
In the context of a fireplace poker, a material with high specific heat can absorb and store heat from the burning logs, ensuring the poker remains hot for longer periods. This is important for effectively moving the logs around. Additionally, a material with high thermal conductivity will allow the heat to be transferred quickly and evenly throughout the poker, ensuring it is safe to handle.
To summarize, for safety and comfort of use, the poker should be made from a material with high specific heat and high thermal conductivity.
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Problem 5: (10 pts) Show that a Cauchy sequence converges.
Every bounded sequence has a convergent subsequence. Thus, the Cauchy subsequence {aₓ+k} converges. for any ε > 0, there exists a positive integer K such that for all 1 ≥ K, |a₁ - L| < ε. This proves that {a₁} converges to L.
To show that a Cauchy sequence converges, It should be both bounded and convergent.
A sequence {a₁} is called a Cauchy sequence if, for any positive real number ε, there exists a positive integer X such that for all a,
1 ≥ X, |aₐ - a₁| < ε.
Proof:
Boundedness:
Let {a₁} be a Cauchy sequence. Since it is Cauchy, there exists a positive integer X such that for all a, 1 ≥ X, |aₐ- a₁| < 1. Therefore, for all a ≥ X, we have |aₐ - aₓ| < 1.
Let's consider the subsequence {aₓ+k}, where k is a positive integer. Since |aₐ - aₓ| < 1 for all a ≥ X, it implies that |aₓ+k - aₓ| < 1 for all k ≥ 0.
Now, consider the set S = {aₓ, aₓ+1, aₓ+2, ...}. Since |aₓ+k - aₓ| < 1 for all k ≥ 0, it means that all elements of S are within a distance of 1 from a fixed point aₓ. Therefore, S is bounded.
Since {a₁} is a Cauchy sequence, it has a Cauchy subsequence {aₓ+k} which is bounded. By the Bolzano-Weierstrass theorem, every bounded sequence has a convergent subsequence. Thus, the Cauchy subsequence {aₓ+k} converges.
Convergence:
Let's denote the limit of the Cauchy subsequence {aₓ+k} as L. We need to show that the original Cauchy sequence {a₁} also converges to L.
For any ε > 0, there exists a positive integer M such that for all k ≥ M, |aₓ+k - L| < ε/2 (since {aₓ+k} converges to L).
Now, since {a₁} is a Cauchy sequence, there exists a positive integer N, 1 ≥ N, |aₐ - a₁| < ε/2.
Therefore, for any ε > 0, there exists a positive integer K such that for all 1 ≥ K, |a₁ - L| < ε. This proves that {a₁} converges to L.
Hence, that a Cauchy sequence is both bounded and convergent, which completes the proof that a Cauchy sequence converges.
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another term for melting
Answer:
Fusion in scientific term
A standing wave with two antinodes is produced in a string that is 50 cm long. If the wave speed on the string is 20 m/s, at what frequency does this standing wave occur
The frequency of the standing wave on the string is 20 Hz.
Given,
Length = 50cm
Wave speed = 20 m/s
To determine the frequency of the standing wave on the string, the formula: Frequency (f) = Wave speed (v) / Wavelength (λ)
In a standing wave with two antinodes, the distance between adjacent antinodes corresponds to half a wavelength (λ/2). In this case, the length of the string is given as 50 cm, which is equal to the distance between two antinodes (λ/2).
Therefore, the wavelength of the standing wave is:
Wavelength (λ) = 2 × Distance between antinodes = 2 × 50 cm = 100 cm = 1 m
Now, substitute the values into the frequency formula:
Frequency (f) = Wave speed (v) / Wavelength (λ)
f = 20 m/s / 1 m
f = 20 Hz
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1. Black Panther ran 567.6 km to the east in 23 hours then turned around and ran 221.8 km to the west in 1.2 hours. What was his average velocity during the trip in km h?p
Answer:
80.08 km/h
Explanation:
Given that Black Panther ran 567.6 km to the east in 23 hours
Velocity = distance covered/time
Substitute the distance covered and time into the formula
Velocity = 567.6/23
Velocity = 24.68 km/h
then turned around and ran 221.8 km to the west in 1.2 hours.
Velocity = 221.8/1.2
Velocity = 184.83 km/h
What was his average velocity during the trip in km/h ?
Average velocity = (V + U)/2
Since the two velocity are opposite to each other, the average velocity will be:
Average velocity = (-24.68 + 184.83)/2
Average velocity = 160.15/2
Average velocity = 80.08 km/h
Therefore, his average velocity during the trip is 80.08 km/h
what happens to light in an object that is translucent?
Translucent objects allow some light to travel through them. The light does not pass directly through the materials. It changes direction many times and is scattered as it passes through. Therefore, we cannot see clearly through them and objects on the other side of a translucent object appear fuzzy and unclear.
explain how the energy/velocity of water/wind controls the size of the particles in clastic/detrital) rocks
In fast-moving water only coarse material settles out and fine material is carried away. In slow-moving water only fine material, which can settle out.
What is the velocity of water?The velocity of water is the rate at which water moves.A technique that can quickly clear your drains is high-velocity water jetting. This procedure forces water through your pipes at a very high velocity, which aids in dissolving and removing any material that has built up in your drains.The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).The volume and speed of the water affect the flow. It is significant because of how it affects the stream's ecosystems, living things, and water quality. Large, fast-moving rivers can be exposed to pollution releases and experience minimal effectsTo learn more about velocity of water refer to:
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If the acceleration remains constant and the mass decreases by 5, the force required will ____ by _____
Answer:
The force will be decreased by 5
Explanation:
Question 19 of 20
8 44%
Look at the diagram. To overcome the friction force, the man could use a slippery
substance like oil or graphite spray on the floor. These substances are examples of
what?
Enter your answer
Substances like oil or graphite spray are examples of - lubricants.
Lubrication is the control of friction and a friction-reducing film between moving surfaces such as the given diagram. The lubricant used can be a fluid, solid, or plastic substance.
Oil reduces the amount of friction by introducing a layer of a smooth and slippery substance that makes the surface smooth and slippery as well.Graphite Spray is a Lubricant that contains high purity graphite along with an organic binder that will adhere the coating to most surfaces.This leaves a dry, clean film of highly lubricous graphite.It lubricates and reduces friction in parts so they slide or rotate easily.Thus, oil or graphite spray are examples of - lubricants.
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5kg of copper ball and I kg of water are at the same temperature of 31 C. Which
substance loses more heat energy, when both of them are cooled upto 30°C
Answer:
r
Explanation:
traits of successful entrepreneurs
There are some traits of successful entrepreneurs, these are as follows:
1. He should be a highly motivated towards the work.
2. He sholud be creative in nature. He should think out of box and develop some ideas for the problem.
3. He should have clear vision for the future.
4. He should be very versatile and ready to adapt any changes.
5. He should be ready to take some risk.
6. He should have the ability of decision making and leadership quality.
A hole is now drilled through the side of the pipe and air is blown again into the pipe through the same opening. The fundamental frequency of the sound wave generated in the pipe is now.
The fundamental frequency of the sound wave generated in the pipe is now higher than before.
Open organ pipes are pipes that are open at both ends and allow sound to pass through them. A closed organ pipe is a pipe organ that is open at one end and closed at the other allowing sound to pass through. The speed of sound changes by about 6 meters per second per degree. Sound is transmitted through the air by compression waves that rely on small-scale molecules to transfer energy to each other.
The higher the temperature the higher the energy of air molecules so the faster they vibrate. Frequency and energy decrease with increasing wavelength. From these equations, we can see that the wavelength decreases as the frequency increases. The lower the frequency, the longer the wavelength. There are two basic types of waves mechanical waves and electromagnetic waves.
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How much does a 200 kg car weight?
Answer:
22 kgs
Explanation:
440.925 pounds if thats what you mean but kgs is the weight system for everyone but america
Which element has atoms with valence electrons in a higher energy level than those of calcium (Ca)?
(1 point)
oxygen (O)
lithium (Li)
bromine (Br)
cesium (Cs)
Lithium element contains one electron therefore valence electron will be one.
The highest level of energy is due to valence electrons which are available to the atom.
The calcium has 2 valence electrons which has electrons with high energy.
These energy will be used by the electron during the chemical reaction, and they will either lose or gain valence electron.
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Answer:
calcium
Explanation:
2 electron
true or false? The electric field is always directed in the direction from a lower electric potential to a higher electric potential.
Answer:
true
Explanation:
have a good day ml
a -0.06 C charge is placed in a uniform electric field with a strength of 200 N/C. what is the magnitude and direction of the force on the charge
The magnitude and direction of the force on the charge is -12 N opposite the electric field
To calculate the force on a charge in an electric field, we make use of the formula below.
Formula
F = E×Q .......................... Equation 1
Where:
F = Force on the chargeE = Electric FieldQ = chargeFrom the question,
Given:
E = 200 N/CQ = -0.06 CSubstitute these values into equation 1
F = 200(-0.06)F = -12 NNote: The negative sign indicates that the force is in the direction negative of the electric field.
Hence, The magnitude and direction of the force on the charge is -12 N opposite the electric field
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Answer: A edge 202694020
Explanation:
Integrate this function over the area of the coil to find the flux.
ɸ= ∫₀²ˣ d ɸ∫₀ʳᶜᵒᶦˡB(r) r dr
To integrate the function over the area of the coil, we first need to find the area of the coil. The area of a circle is πr², where r is the radius of the circle. In this case, the radius of the coil is 2x. So, the area of the coil is 4πx².
The first step is to find the area of the coil. The area of a circle is πr², where r is the radius of the circle. In this case, the radius of the coil is 2x. So, the area of the coil is 4πx².
Once we know the area of the coil, we can integrate the function over the area. The integral is:
ɸ = ∫₀²ˣ dɸ∫₀ʳᶜᵒᶦˡB(r) r dr
The first integral is over the angle ɸ. The second integral is over the radius r. The function B(r) is the magnetic field at a distance r from the center of the coil.
The integral can be evaluated using the following steps:
Integrate the first integral with respect to ɸ. This gives us 2π.
Substitute 2π for the first integral.
Integrate the second integral with respect to r. This gives us 2πr³B(r)/3.
Substitute 2x for r.
The final result is:
ɸ = 8π²x²B(2x)/3
This is the flux through the coil.
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What is MyPyramid?
a.exercise program
b.health insurance plan
c.method of treating mental illness
d.guidelines for healthful eating
Answer:
d
Explanation:
lol Hope's this helps lovely
what is the mass of a brass axle that has a volume of 0.318 cm3?
Thing: A brass axle with a 0.318 cm capacity weighs 2.7g. According to our density table, brass has a density of 0.00855 g/mm3.
How do you calculate volume by hand?Its length, breadth, or height are multiplied to determine the volume. It's good news for cubes that each of these dimensions measures exactly the same. You can therefore multiply the length of any side by three. The formula for volume is volume side * side must be equal.
What does a liquid's volume mean?Liquid volume is a means to measure a quantity of liquid by specifying how much 3-D spaces it occupies, where volume is indeed the amount in 3-D spaces contained by the a closed surface (for example, the space within a specific cube, cylinder, or other 3-D shape).
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F. A 50. A resistor (R2), and unknown resistor R2, a 120 Volt source, and an ammeter are connected in a
complete circuit. The ammeter reads 0.50 ampere (current).
R1
a. Determine the resistance of Rz.
R2
Complete question is;
A 50.-ohm resistor, an unknown resistor R, a 120-volt source, and an ammeter are connected in a complete circuit. The ammeter reads 0.50 ampere.
A) Calculate the equivalent resistance of the circuit shown.
B) Determine the resistance of resistor R shown in the diagram.
Answer:
A) R_eq = 240 Ω
B) R = 190 Ω
Explanation:
A) To get the equivalent resistance, we will use the formula;
R = V/I
Where;
V is Voltage
I is current
R is equivalent resistance
From the question, V = 120 V and I = 0.5A
Thus;
R_eq = 120/0.5
R_eq = 240 Ω
B) From the image, we see that the resistors are connected in series.
Formula for resistors in series is;
R = R1 + R2 +..... Rn
Thus;
240 = 50 + R
R = 240 - 50
R = 190 Ω
A) The equivalent resistance of the circuit shown will be 240 Ω.
B) The resistance of resistor R will be 190 Ω
What is resistance?Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.
The given data in the problem is;
R is the resistance = 50.-ohm
v is the voltage = 120-volt source
I is the value of the current =0.50 ampere.
A) The equivalent resistance of the circuit shown will be 240 Ω.
According to ohm's law
\(\rm R= \frac{V}{I} \\\\ \rm R= \frac{120}{0.5} \\\\ \rm R=240 \ ohm\)
Hence the equivalent resistance of the circuit shown will be 240 Ω.
B) The resistance of resistor R will be 190 Ω
The given resistors are connected in the series;
R = R1 + R2 +..... Rn
240 = 50 + R
R = 240 - 50
R = 190 Ω
Hence the resistance of resistor R will be 190 Ω
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(x – 2)² = 5(y + 1), where x and y are measured in centimeters. You need to place a new light bulb in your flashlight. How far away from the vertex of the parabolic mirror should you place the bulb to ensure a perfect beam of light? The bulb should be placed .
Answer:
The coordinates of the point the bulb should be placed is (2, 0.25)
Explanation:
The given equation of a parabola is presented as follows;
(x - 2)² = 5·(y + 1)
The point the bulb should be placed is the focus of the parabolic mirror to ensure a perfect (straight) beam
The general form of the equation of a parabola is (x - h)² = 4·p·(y - k)
The coordinates of the focus of the parabola for p > 0 f = (h, k + p)
By comparison, h = 2, k = -1, and p = 5/4
∴ The coordinates of the focus of the parabola, f = (2, -1 + 5/4) = (2, 0.25)
The coordinates of the point the bulb should be placed is at the focus, f = (2, 0.25).
HELP!! WILL MARK BRAINLIEST!!!!!
Complete the following sentences. Energy is required to _______ bonds in a molecule and released when bonds are _______.
Answer:
Create
Broken
Explanation:
Bond formation or creation requires the use of energy. Energy is used during bond formation between chemical species. The energy is required for the reaction to occur.
When bonds are broken, energy is releasedBond breaking process is a procedure that releases energy. This energy makes them able to react.a boat is heading due east at 25 km per hr (relative to the water). the current is moving toward the southwest at 10 km per hr.(a) give the vector representing the actual movement of the boat.(b) how fast is the boat going, relative to the ground?(c) by what angle does the current push the boat off of its due east course?
(a) (25 km/hr) * i - (10 km/hr) * j Vector representation (b) Relative speed of boat is 26.46 km/hr (c) current pushes the boat off its due east course by an angle of approx. 21.8°.
(a) The actual movement of the boat can be found by subtracting the velocity of the current from the velocity of the boat. Let's represent the velocity of the boat as a vector in the positive x-direction (due east) and the velocity of the current as a vector in the negative y-direction (toward the southwest). Then, the actual movement of the boat can be represented by the vector sum of these two vectors:
Actual velocity of the boat = Velocity of the boat - Velocity of the current
= (25 km/hr) * i - (10 km/hr) * j
here,
i & j are unit vectors in x and y directions.
(b) The speed of the boat relative to the ground can be found using the Pythagorean theorem. The speed is the magnitude of the actual velocity vector:
Speed of the boat = |Actual velocity of the boat|
= √[(25 km/hr)² + (-10 km/hr)²]
= 26.46 km/hr
(c) The angle by which the current pushes the boat off its due east course can be found using trigonometry. We can use the arctangent function to find the angle:
tanθ = opposite/adjacent
= 10 km/hr / 25 km/hr
= 0.4
= arctan(0.4)
θ = 21.8 degrees
Therefore, the current pushes the boat off its due east course by an angle of approximately 21.8 degrees.
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What is the mass of a car if 4500N of force is used to accelerate it at a rate of 3.0m/s?
Answer:
The answer is 15,000 kgExplanation:
The mass of the car can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{45000}{3} \\ \)
We have the final answer as
15,000 kgHope this helps you
The position of a particle moving in the xy-plane is given by the parametric equations r = ( 3t and V = 2t 3t 2 12t _ For what values of t is the particle at rest?
All components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.
For what values of t is the particle at rest?
The position of a particle moving in the xy-plane is given by the parametric equations r = (3t) and v = (2t, 3t², 12t). To find for what values of t the particle is at rest, we need to find when the velocity vector (v) is equal to zero.
The velocity vector v is given by (2t, 3t², 12t). For the particle to be at rest, all components of the velocity vector must be equal to zero.
1. For the x-component (2t) to be zero: 2t = 0. Solving for t, we get t = 0.
2. For the y-component (3t²) to be zero: 3t² = 0. Solving for t, we get t = 0.
3. For the z-component (12t) to be zero: 12t = 0. Solving for t, we get t = 0.
Since all components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.
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what is the sign of δethδethdeltae_{th} as the system of ideal gas goes from point a to point b on the graph? recall that ethethe_{th} is proportional to ttt .
The sign of δethδethdeltae_{th} as the system of ideal gas goes from point a to point b on the graph is positive, as the graph of an ideal gas is a straight line which passes through the origin and has a positive slope.
If we are given the graph of an ideal gas, it will be represented as a straight line in the pressure-volume diagram and has a positive slope (since pressure is proportional to the number of molecules in the container).
The internal energy of an ideal gas is directly proportional to its temperature, which means that the value of δethδethdeltae_{th} is also proportional to temperature. Since the slope of the graph is positive, the temperature also increases, and the change in internal energy is positive (since δethδethdeltae_{th} is proportional to temperature).
Therefore, the sign of δethδethdeltae_{th} as the system of ideal gas goes from point a to point b on the graph is positive. An ideal gas undergoes isothermal expansion, that is, the temperature is kept constant while the volume is increased. According to the ideal gas law, the pressure is inversely proportional to the volume, which means that the pressure decreases as the volume increases.
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Read the passage.
The moon is one-fourth the size of Earth, and the moon’s gravity is about one-sixth of Earth’s. Less gravity and no atmosphere means that objects travel farther when thrown on the moon.
Based on the information provided, what visual information would be most helpful to include with the passage?
a chart comparing the sizes of the moon and the Earth
a diagram showing how gravity affects the path of a thrown object
a photograph of a child throwing a ball for a dog to catch
a graph comparing distances traveled by objects thrown on Earth and the moon
its d
Answer:
d in my opinion is the most opitmal answer
Explanation:
aka a graph comparing distances traveled by objects thrown on Earth and the moon
Answer:
Its d
Explanation:
a graph comparing distances traveled by objects thrown on Earth and the moon