Answer:
Explanation:
3.6
A cannonball has a speed of 320 m/s at an altitude of 122 m above the ground. What is the total mechanical energy of the cannonball assuming that the potential energy at ground level is zero
Answer:
Each kilogram of the cannonball has a total energy of 52396.454 joules.
Explanation:
From Principle of Energy Conservation we understand that energy cannot be destroyed nor created, but transformed. In this case non-conservative forces can be neglected, so that total energy of the cannonball ([tex]E[/tex]) is the sum of gravitational potential ([tex]U_{g}[/tex]) and translational kinetic energies ([tex]K[/tex]), all measured in joules. That is:
[tex]E = U_{g}+K[/tex] (Eq. 1)
By applying definitions of gravitational potential and translational kinetic energies, we proceed to expand the expression:
[tex]E = m\cdot g \cdot y + \frac{1}{2} \cdot m \cdot v^{2}[/tex] (Eq. 2)
Where:
[tex]m[/tex] - Mass of the cannonball, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]y[/tex] - Height of the cannonball above ground level, measured in meters.
[tex]v[/tex] - Speed of the cannonball, measured in meters per second.
As we do not know the mass of the cannonball, we must calculated the unit total energy ([tex]e[/tex]), measured in joules per kilogram, whose formula is found by dividing (Eq. 1) by the mass of the cannonball. Then:
[tex]e = g\cdot y + \frac{1}{2}\cdot v^{2}[/tex]
If we know that [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]y =122\,m[/tex] and [tex]v = 320\,\frac{m}{s}[/tex], the unit total energy of the cannonball is:
[tex]e = \left(9.807\,\frac{m}{s^{2}}\right)\cdot (122\,m)+\frac{1}{2}\cdot \left(320\,\frac{m}{s} \right)^{2}[/tex]
[tex]e = 52396.454\,\frac{J}{kg}[/tex]
Each kilogram of the cannonball has a total energy of 52396.454 joules.
What is the mass of a 2 kg object on the Earth and on the moon?
Answer:
Same
Explanation:
Mass is the quantity of matter in a certain object.
WHEREVER you take a 2kg object, the mass will remain 2kg. All that changes is the Weight ..Weight the force which the centre of a Planet uses to pull everything towards itself.
On earth, it is 9.81 whereas on the Moon it is 1.6
Here, we are required to determine the mass of a 2kg object on the Earth and on the moon.
The mass of the 2kg object is the same on earth and on the moon.The mass of an object is simply defined as the quantity of matter present in the object and this quantity remains constant.
The mass of an object is simply defined as the quantity of matter present in the object and this quantity remains constant.In essence, if the mass of an object is 2kg, this mass remains constant on planet earth and the moon.
PS: The weight of an object which is a measure of the acceleration due to gravity which differs with location and position is the constant which may be different about the object on the earth and the moon respectively.
The acceleration due to gravity on earth and the moon is 9.8m/s² and 1.6m/s² respectively.
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Pain during sports is completely normal and should not be a concern.
Please select the best answer from the choices provided.
OT
OF
Answer:
F
Explanation: Its common sence
Answer:
It’s false
Explanation:
2020 (WORST YEAR EVER) on Edge ;-)
Read each scenario and then answer the questions.
Scenario A: A shopping cart is pushed a distance of 3 m by a force of 15 N.
Scenario B: A shopping cart is pushed a distance of 4 m by a force of 12 N.
Scenario C: A shopping cart is pushed a distance of 6 m by a force of 10 N.
Which scenario requires the most work?
Which scenario requires the least work?
Answer:
C requires the most work and A requires the least work
Answer:
Which scenario requires the most work?
✔ C
Which scenario requires the least work?
✔ A
A coaxial cable has a charged inner conductor (with charge +8.5 µC and radius 1.304 mm) and a surrounding oppositely charged conductor (with charge −8.5 µC and radius 9.249 mm).
Required:
What is the magnitude of the electric field halfway between the two cylindrical conductors? The Coulomb constant is 8.98755 × 10^9 N.m^2 . Assume the region between the conductors is air, and neglect end effects. Answer in units of V/m.
Complete question:
A 50 m length of coaxial cable has a charged inner conductor (with charge +8.5 µC and radius 1.304 mm) and a surrounding oppositely charged conductor (with charge −8.5 µC and radius 9.249 mm).
Required:
What is the magnitude of the electric field halfway between the two cylindrical conductors? The Coulomb constant is 8.98755 × 10^9 N.m^2 . Assume the region between the conductors is air, and neglect end effects. Answer in units of V/m.
Answer:
The magnitude of the electric field halfway between the two cylindrical conductors is 5.793 x 10⁵ V/m
Explanation:
Given;
charge of the coaxial capable, Q = 8.5 µC = 8.5 x 10⁻⁶ C
length of the conductor, L = 50 m
inner radius, r₁ = 1.304 mm
outer radius, r₂ = 9.249 mm
The magnitude of the electric field halfway between the two cylindrical conductors is given by;
[tex]E = \frac{\lambda}{2\pi \epsilon_o r} = \frac{Q}{2\pi \epsilon_o r L}[/tex]
Where;
λ is linear charge density or charge per unit length
r is the distance halfway between the two cylindrical conductors
[tex]r = r_1 + \frac{1}{2}(r_2-r_1) \\\\r = 1.304 \ mm \ + \ \frac{1}{2}(9.249 \ mm-1.304 \ mm)\\\\r = 1.304 \ mm \ + \ 3.9725 \ mm\\\\r = 5.2765 \ mm[/tex]
The magnitude of the electric field is now given as;
[tex]E = \frac{8.5*10^{-6}}{2\pi(8.85*10^{-12})(5.2765*10^{-3})(50)} \\\\E = 5.793*10^5 \ V/m[/tex]
Therefore, the magnitude of the electric field halfway between the two cylindrical conductors is 5.793 x 10⁵ V/m
Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, is powered by the discharge of a 1.33 F capacitor charged to 77.9 kV. Rosa rightly reckons that she can enhance the effect of each laser pulse by increasing the electric potential energy of the charged capacitor. She could do this by replacing the capacitor's filling, whose dielectric constant is 427, with one possessing a dielectric constant of 983.
A. Find the electric potential energy of the original capacitor when it is charged.
B. Calculate the electric potential energy of the upgraded capacitor when it is charged.
Answer:
A) 4.035 × 10^(9) J
B) 9.29 × 10^(9) J
Explanation:
We are given;
Capacitance of the original capacitor; C = 1.33 F
Potential difference given to the original capacitor; V = 77.9 kV = 77.9 × 10³ V
A) The formula for Potential energy (U) for the original capacitor is given as:
U = ½CV²
Plugging in the relevant values, we have;
U = ½ × 1.33 × (77.9 × 10³)²
U = 4.035 × 10^(9) J
B) We are told that the capacitor with dielectric constant of 427, was replaced with one possessing a dielectric constant of 983.
Thus;
U = ½ × 1.33 × (983/427) × (77.9 × 10³)²
U = 9.29 × 10^(9) J
PLEASE HELP!!
A box falls out of an airplane that is traveling horizontally at 100m/s. The plane is at an altitude of 300m.
Where does the box land relative to where it was dropped from?
Answer:
Explanation:
Key point: the vertical motion is free fall, the horizontal motion remains at uniform speed of 100 m/s (because there is no force in the horizontal direction if we neglect air resistance.)
The time of free fall can be calculated first:
h = 1/2 g t^2 => t = sqrt(2 h /g) = sqrt(2 * 300 m / 9.81 s) = 7.82 seconds.
In that time, the horizontal displacement will be
s = v_horizontal * t = 100 m/s * 7.82 s = 782 m.
So the box will land 782 m further than the point it was dropped from (and 300 m lower of course)
How is Earth's surface most likely to change in a place that experiences extensive animal activity?
Sand dunes will be formed due to deposition of sediments.
Soil will loosen due to vast network of underground tunnels.
Cracks will appear in rocks due to freezing and thawing of water.
Rocks will break due to repeated abrasion and mechanical stress.
Answer:
B
Explanation:
Answer:
Soil will loosen due to vast networks of underground tunnels.
a motorbike and its rider have a mass of 274kg. if they experience an acceleration of 4.50 m/s^2 what force was exerted on them
Answer:
1233 N
Explanation:
force=mass×accerelation
3. What would happen if Earth did not rotate?
Answer:
If Earth were to stop spinning on its axis, gradually the oceans would migrate towards the poles from the equator. The atmosphere would still be in motion with the Earth's original 1100 mile per hour rotation speed at the equator. And this means, rocks, topsoil, trees, buildings, and so on, would be swept away into the atmosphere.
Hope that helped <3
Which of the following is NOT a unit of measurement for speed?
I don't see any units of measurement or speed I don't see anything
Please help me! I will give you a thanks!
Answer:
The answer is D
Explanation:
Because it is big and can fit the truck.
Which of the following subatomic particles determine the identify of an atom?
A. Protons
B. Neutrons
C. Electrons
D. Nucleus
LOL SOMEONE PLS HELP THIS IS PAST DUE SINCE A WEEK AGO IM STRESSING SO BAD LAMISJSKAKAO
a 1,200 kg car travels at 20 m/s. what is it’s momentum ?
Answer:
24000 kg·m/s
Explanation:
Momentum is Mass x Velocity, so 1200 kg time 20 m/s = 24000 kg-ms/s
The momentum of the car is 24000 Kg•m/s
Momentum is defined as the product of mass and velocity. Mathematically, it can be expressed as:
Momentum = mass × velocity
With the above formula, we can obtain the momentum of the car as follow:
Mass = 1200 KgVelocity = 20 m/sMomentum =?Momentum = mass × velocity
Momentum = 1200 × 20
Momentum of car = 24000 Kg•m/s
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A gymnast on the uneven parallel bars is at rest, tipped at a 45∘ angle from the vertical. The distance from her hands to her feet is 1.8 m. If we model her body as having a uniform cross section and assume that her center of gravity is midway between her hands and her feet, what is her initial angular acceleration?
The initial angular acceleration is 5.78 rad/s^2.
Calculation of the angular acceleration;Since
A gymnast on the uneven parallel bars is at rest, tipped at a 45∘ angle from the vertical. The distance from her hands to her feet is 1.8 m.
So,
[tex]Torque \tau = r \times F\\\\ \tau = l\alpha\\\\so, r \times F = l\alpha\\\\mg\ cos\ 45 \times r = (1/3)mR^2 \times \alpha\\\\9.8\times cos\ 45 \times 0.9 = (1/3)\times (1.8)^2 \times \alpha\\\\\alpha = 5.78\ rad/s^2[/tex]
hence, The initial angular acceleration is 5.78 rad/s^2.
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Chief Boolie,
the jungle dweller, is out hunting for dinner when a coconut falls from a
tree and lands on his toe. If the nut fell for 1.4s, how fast was it traveling
when it hit Chief Boolie's toe? *
Answer:
13.72 m/s
Explanation:
Here, we are to determine the final velocity of the coconut. Applying first equation of free fall;
v = u + gt
where: v is the final velocity of the object, u is the initial velocity, g is the force of gravity and t is the time.
Since the coconut falls in the direction of gravity, then g = 9.8 m/[tex]s^{2}[/tex].
t = 1.4 s, u = 0 m/s
So that;
v = 0 + 9.8(1.4)
= 13.72
The coconut hits Chief Boolie's toe with a velocity of 13.72 m/s
A team of ecologists are studying four different ecosystems with varying levels of biodiversity. The ecologists categorize the different levels of biodiversity for the four ecosystems as shown in the table below.
Genetic Diversity Species Diversity Habitat Diversity
Ecosystem A Low Low Medium
Ecosystem B Medium High Medium
Ecosystem C High Low Low
Ecosystem D Medium Low High
Based on the information above, which ecosystem most likely experienced a recent population bottleneck?
Ecosystem A, because its low genetic diversity could have resulted from an event that reduced the variation in the gene pool.
Ecosystem A, because its low genetic diversity could have resulted from an event that reduced the variation in the gene pool.
A
Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
B
Ecosystem C, because its low habitat diversity indicates an increase in available niches.
Ecosystem C, because its low habitat diversity indicates an increase in available niches.
C
Ecosystem D, because its low species diversity indicates that it also has low species evenness.
Answer:
B. Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
Explanation:
This is because, in the ecosystem with varying level of biodiversity, Ecosystem B has medium level of species diversity found in them with High medium level of habitat diversity which causes increasing competitions among them.
PLS HELP
Given the following blackbody curve graph, what color will Star A be?
Blackbody radiation graph for Star A, which has a surface temperature of 5,700 degrees Celsius. At the point where the curve peaks, the wavelength is approximately 550 nanometers, in the middle of the visible light spectrum.
Blue
Red
White
Yellow
Answer:
Yellow
Explanation:
It is for sure not red
Blackbody radiation graph for Star A, which has a surface temperature of 5,700 degrees Celsius. At the point where the curve peaks, the wavelength is approximately 550 nanometers, in the middle of the visible light spectrum. The color will Star A be Yellow.
What is Wavelength?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm).
A blackbody's spectrum is continuous (it emits some light at all wavelengths), and it peaks at a particular wavelength. For hotter objects, the peak of the blackbody curve shifts to shorter wavelengths in a spectrum. If you conceive of a blackbody in terms of visible light, the hotter it is, the bluer its peak emission wavelength will be. For instance, the temperature of the sun is about 5800 Kelvin. With this temperature, a blackbody's peak is roughly 500 nanometers away, or the wavelength of yellow.
The color will Star A be Yellow.
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The rectangular boat shown below has base dimensions 10.0 cm × 8.0 cm. Each cube has a mass of 40 g, and the liquid in the tank has a density of 1.0 g/mL. How far has the boat sunk into the water?
A. 3.2 cm
B. 4.0 cm
C. 4.8 cm
D. 8.0 cm
Answer:
A that the answer I think I'm not tryna do u bad thi
Explanation:
but try it
If a park is 5 miles away what is the average speed you have to maintain to arrive in 15 minutes
Answer:
3 miles per hour
Explanation:
15 divided by 5 = 3
Inkjet printers can be described as either continuous or drop-on-demand. In a continuous inkjet printer, letters are built up by squirting drops of ink at the paper from a rapidly moving nozzle. You are part of an engineering group working on the design of such a printer. Each ink drop will have a mass of 1.5×10−8g. The drops will leave the nozzle and travel toward the paper at 50 m/s in a horizontal direction, passing through a charging unit that gives each drop a positive charge q by removing some electrons from it. The drops will then pass between parallel deflecting plates, 2.0 cm long, where there is a uniform vertical electric field with magnitude 8.0×104N/C. Your team is working on the design of the charging unit that places the charge on the drops.
(a) If a drop is to be deflected 0.30 mm by the time it reaches the end of the deflection plates, what magnitude of charge must be given to the drop? How many electrons must be removed from the drop to give it this charge?
(b) If the unit that produces the stream of drops is redesigned so that it produces drops with a speed of 25 m/s, what q value is needed to achieve the same 0.30-mm deflection?
Answer:
A) q = 7.03 × 10^(-13) C
n ≈ 4388265 electrons
B) q = 1757.8 × 10^(-16) C
n ≈ 1097253 electrons
Explanation:
We are given;
Mass; m = 1.5 × 10^(−8)g = 1.5 × 10^(-11) kg
Speed; v = 50 m/s
Electric Field; E = 8 × 10⁴ N/C
Distance between plates; s = 2 cm = 0.02 m
A) Now, speed = distance/time
So, time(t) = distance/speed = 0.02/50 = 0.0004 s
From Newton's first law of motion, we know that;
d = ut + ½at²
But u is initial velocity and in this case it's zero.
But we are told that a drop is to be deflected by 0.30 mm. So, d = 0.3 × 10^(-3) m
Thus;
0.3 × 10^(-3) = 0 + ½a(0.0004)²
a = 3750 m/s²
Now, we know that force in motion normally can be expressed as;
F = ma
But in electric field, it's;
F = qE
Thus;
qE = ma
So, charge is; q = ma/E
Plugging in the relevant values;
q = (1.5 × 10^(−11) × 3750)/(8 × 10⁴)
q = 7.03 × 10^(-13) C
Now, number of electrons is given by the formula;
n = q/e
Where e is charge on electron with a value of 1.602 × 10^(-19) C/electron
So; n = (7.03 × 10^(-13))/(1.602 × 10^(-19))
n ≈ 4388265 electrons
B) We are told speed is now 25 m/s.
Thus;
time(t) = distance/speed = 0.02/25 = 0.0008 s
From Newton's first law of motion, we know that;
d = ut + ½at²
But u is initial velocity and in this case it's zero.
d remains 0.3 × 10^(-3) m
Thus;
0.3 × 10^(-3) = 0 + ½a(0.0008)²
a = 937.5 m/s²
Now, we know that force in motion normally can be expressed as;
F = ma
But in electric field, it's;
F = qE
Thus;
qE = ma
So, charge is; q = ma/E
Plugging in the relevant values;
q = (1.5 × 10^(−11) × 937.5)/(8 × 10⁴)
q = 1757.8 × 10^(-16) C
Now, number of electrons is given by the formula;
n = q/e
Where e is charge on electron with a value of 1.602 × 10^(-19) C/electron
So; n = (1757.8 × 10^(-16) )/(1.602 × 10^(-19))
n ≈ 1097253 electrons
A 10.0-cm-diameter and a 20.0-cm-diameter charged ring are arranged concentrically (so they share the same axis). Assume both are centered at the origin. The 10 cm ring is charged to 30.0nC, while the 20 cm ring is charged to 60.0nC. Using the library electric field formula for Ering, compute the total electric field strength numerically at:
a, The origin
b. 40.0 cm along the axis of the 10 cm ring.
Answer:
a) Eₓ = 0 , b) c) Ex_total = 3.96 10⁻⁶ N
Explanation:
For this problem we will look for the expression for the electric field of a ring of charge, at a point on its central axis.
From the symmetry of the ring, the resulting field is in the direction of the axis, we suppose that it corresponds to the x and y axis and the perpendicular direction but since the two sides of the annulus are offset.
dE = k dq / r²
The component of this field in the direction to x is
d Eₓ = dE cos θ
the distance of ring to the point
r² = x² + a²
where a is the radius of each ring
the cosine is the adjacent leg between the hypotenuse
Cos θ = x /r
we substitute
d Ex = k / (x² + a²) dq x /√ (x² + a²)
we integrate
Ex = ∫ k / (x² + a²)^{3/2} x dq
Ex = k x/ (x² + a²)^{1.5} Q
the total field is the sum of the fields created by each ring, since they are on the same line (x-axis), you can perform an algebraic sum
Eₓ_total = Eₓ₁ + Eₓ₂
a) at the origin x = 0
in field is zero, since the numerator e makes zero
Eₓ = 0
b) for point x = 40.0cm = 0.400 m
we substitute the values in our equation
Ex_total = k x [Q (x² + 0.1²)^{1.5} + 2Q / (x² + 0.2²2) ^3/2]
Ex_total = k Q x [1 / (x² + 0.01)^1.5 + 2 / (x² + 0.04)^1.52]
let's calculate
Ex_total = 9 10⁹ 30 10⁻⁹ 0.40 [1 / (0.4 2 + 0.01) 3/2 + 2 / (0.4 2 + 0.04) 3/2] 10⁻⁹
Ex_total = 108 [14.2668 + 22.36] 10⁻⁹
Ex_total = 3.96 10⁻⁶ N
A 0.10 g honeybee acquires a charge of +23 pC while flying, due to friction of the wings against the air. We will try and understand why this is advantageous. A. The electric field near the surface of the earth is typically 100 N/C, directed downward. What is the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight?
Answer:
The ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is 2.35 x 10⁻⁶
Explanation:
Given;
mass of the honeybee, m = 0.1 g
charge acquired by the honeybee, Q = 23pC = 23 x 10⁻¹² C
the electric field near the earth's surface, E = 100 N/C
The magnitude of the electric force on the bee is given by;
F = QE
F = (23 x 10⁻¹²)(100) = 23 x 10⁻¹⁰ N
The weight of the bee is given by;
W = mg
W = 0.1 x 10⁻³ x 9.8
W = 9.8 x 10⁻⁴ N
The the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is given by;
[tex]\frac{F}{W} = \frac{23*10^{-10}}{9.8*10^{-4}} = 2.35 *10^{-6}[/tex]
Therefore, the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is 2.35 x 10⁻⁶
A bungee cord is 30.0 mm long and, when stretched a distance xx, it exerts a restoring force of magnitude kxkx. Your father-in-law (mass 97.0 kgkg) stands on a platform 45.0 mm above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 mm before the cord stops him. You had several bungee cords to select from, and you tested them by stretching them out, tying one end to a tree, and pulling on the other end with a force of 420 NN.
Part A When you do this, what distance will the bungee cord that you should select have stretched?
Answer:
0.65 m
Explanation:
See attachment for calculation
Water inside a tub rises from 15 mL to 19 mL when an object is submerged. If the mass of the object is 249, what's the density of
the object?
O A.6 g/ml
O B. 0.8 g/mL
O C.4g/ml
O D. 0.12 g/mL
Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question
mass = 249 g
volume = final volume of water - initial volume of water
volume = 19 - 15 = 4 mL
We have
[tex]density = \frac{249}{4} \\ [/tex]
We have the final answer as
62.25 g/mLHope this helps you
What is the answwr I need help
What is a lever and mention its types
Answer:
Three different types of levers exist, depending on where the input force, fulcrum, and load are. A class 1 lever has the fulcrum between the input force and load. A class 2 lever has the load between the fulcrum and input force. A class 3 lever is a lever that has the input force in between the fulcrum and the load.
Explanation:
If the point B was initially at the same level as the center of the pulley C, what is the direction of the velocity of point B after the pulley at A has undergone 2 revolutions? Give this in degrees from the horizontal (positive in the counterclockwise direction, negative in the clockwise direction)
Answer:
θ = 720º
Explanation:
Let's use the rotational kinematics relations for this exercise, remember that all angles must be given in radians.
Let's reduce the magnitudes to the SI system
θ = 2 rev (2π rad / 1 rev) = 4π rad
we assume that the pulley has a radius r
linear and angular coordinates are related
y = θ r
let's calculate
y = 4π r
to convert the distance in angles to radians
θ = y / r
θ = 4π
let's change this angle to degrees
π rad = 180º
θ = 4π rad (180º /π rad)
θ = 720º
How much force is needed to accelerate an object with a mass of 90 kg at a rate of 1.2 ms
you breathe in oxygen gas in air, but oxygen can exist in all four states. Four samples of oxygen have the same mass but are each in a different state. which statement about the relative amounts of thermal energy in the samples is true?
A. The sample of liquid has more energy that the sample of gas.
B. The sample of solid has more energy that the sample of gas.
C. The sample of plasma has less energy than the sample gas.
D. The sample of plasma has more energy than the sample of gas.
PLEASE HELP
It is true that the sample of plasma has more energy than the sample of gas. Option D is correct.
What is gas?Gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.
Liquid molecules are more energetic than solid molecules. Further heating will cause the molecules to move so quickly that they won't stick together at all. The gas molecules have the highest energy content.
Although oxygen is a gas that you breathe in, it may also exist in all four other states. The mass of the four oxygen samples is the same, yet they are all in distinct states.
Regarding the relative levels of thermal energy in the samples, statement B is accurate. Regarding the proportional quantities of thermal energy in the samples,
It is true that the sample of plasma has more energy than the sample of gas.
Hence, option D is correct.
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