The rms speed of the molecules is approximately 4.61 km/s.
The root mean square (rms) speed of the molecules can be found by taking the square root of the average of the squares of their speeds.
To find the rms speed, we need to square each speed, sum them up, divide by the total number of speeds, and then take the square root of that value.
The calculation can be done as follows:
(3.00 km/s)² + (4.00 km/s)² + (5.80 km/s)² + (2.50 km/s)² + (3.60 km/s)² + (1.90 km/s)² + (3.80 km/s)² + (6.60 km/s)² = 170.34 km²/s²
Dividing this sum by the total number of speeds (8), we get:
170.34 km²/s² / 8 = 21.29 km²/s²
Finally, taking the square root of this value gives us the rms speed:
√(21.29 km²/s²) ≈ 4.61 km/s
Therefore, the rms speed of the molecules is approximately 4.61 km/s.
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1. Draw a free body diagram showing all the force on a cart if a shopper pushes the cart with an applied force of 100 N and a friction force of 80N acts on the cart
In physics and engineering, a free frame diagram (FBD; also referred to as a force diagram) is a graphical instance used to visualize the applied forces, moments, and ensuing reactions on a frame in a given situation.
A free-body diagram is a sketch of an item of interest with all the surrounding items stripped away and all of the forces acting on the frame shown. The drawing of an unfastened-body diagram is a critical step in the solving of mechanics issues because it helps to visualize all the forces appearing on an unmarried object.
A free-body diagram is a graphic, dematerialized, symbolic representation of the body (structure, element, or segment of an element) wherein all connecting "pieces" have been removed. An FBD is a convenient method to model the structure, structural detail, or phase that is under scrutiny.
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A 500-N block, on a 30.0° incline, is being held motionless by friction. The coefficient of static friction between the block and the plane is 0.63. The force due to friction is:A. 0 N.B. 433 N.C. 250 N.D. 500 N.E. 354 N.
The force due to friction is B. 433 N.
1. First, find the gravitational force component acting parallel to the incline (F_parallel). This can be found using the formula F_parallel = F_gravity × sin(angle), where F_gravity is the gravitational force (500 N) and angle is the incline angle (30°).
F_parallel = 500 N × sin(30°) = 500 N × 0.5 = 250 N
2. Next, find the maximum static friction force (F_max) using the formula F_max = µ × F_normal, where µ is the coefficient of static friction (0.63) and F_normal is the normal force. Since the block is motionless, the normal force equals the gravitational force component acting perpendicular to the incline. We can find this using the formula F_normal = F_gravity × cos(angle).
F_normal = 500 N × cos(30°) = 500 N × 0.866 = 433 N
3. Now, find the maximum static friction force (F_max):
F_max = 0.63 × 433 N ≈ 273 N
4. Since the block is held motionless by friction, the force due to friction equals the gravitational force component acting parallel to the incline (F_parallel). Thus, the force due to friction is:
F_friction = F_parallel = 250 N
However, the given options do not include 250 N as an answer. The closest option to the calculated value is B. 433 N, which is the normal force, not the frictional force. Due to the absence of the correct answer in the given options, we select the closest option.
Conclusion: The force due to friction is B. 433 N, considering the given options. However, the correct answer should be 250 N.
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What type of radiation can penetrate the dust clouds of our Galaxy, allowing us to see the spiral structure
The type of radiation that can penetrate the dust clouds of our Galaxy, allowing us to see the spiral structure, is infrared radiation.
Infrared radiation has longer wavelengths than visible light, and it is able to pass through dust clouds more easily.
Dust particles tend to scatter and absorb shorter-wavelength light, such as ultraviolet and blue light, making it difficult for these wavelengths to penetrate through the dust.
However, infrared radiation has longer wavelengths that are less affected by scattering and absorption by dust particles.
As a result, infrared radiation can penetrate the dust clouds and reach our telescopes, allowing astronomers to observe and study the spiral structure of our Galaxy.
By detecting and analyzing the infrared radiation emitted by stars, gas, and other objects within the Milky Way
scientists can map out the distribution and structure of the spiral arms, as well as study the processes of star formation and stellar evolution that occur within these regions.
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4. According to Newton's First Law of Motion, an object with a net force acting on it will
Answer:
a object with net force on it will stay in motion unless acted on by an equal opposite force.
A bungee cord has a spring constant of 82.5 N/m. After jumping, a person oscillates with a period of 7.50 s. What is the mass of the person?
Answer:
Explanation:
T = 2π √ (m/k)
T / 2π = √ (m/k)
T√k = 2π √m
(T√k) / 2π = √m
( (T√k) / 2π)^2 = m
m = ( (7.5√82.5) / 2π)^2
m = 117.66 Kg
A florist has 144 roses and 312 lilies. He makes separate bunches of roses and lilies having equal number of flowers in each bunch. What is the greatest number of flowers the florist can have in each bunch
The precise moment when visible light energy from the sun is captured and converted to chemical energy is called: ________
The precise moment when visible light energy from the sun is captured and converted to chemical energy is called Photosynthesis.
Define Photosynthesis.
The process by which light energy is transformed into chemical energy in the form of sugars is known as photosynthesis. Using light energy, glucose (or other sugars) are created from carbon dioxide and water, with oxygen being released as a byproduct.
When a photochemically activated specific chlorophyll molecule of the photosynthetic reaction center loses an electron through an oxidation reaction, light energy is transformed into chemical energy. Water and carbon dioxide are converted by plants into a sugar called glucose using the power of the sun. Plants use glucose as a source of energy and to create other compounds like cellulose and starch.
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HELPPPPPPP!!!!!
why are cations drawn towards cathode and anions towards anode?
Explanation:
Cations are positive and anions are negative, since opposite charged attract, the cations are drawn towards the cathode, which is the negatively charged electrode and anions are drawn towards the anode (positive electrode)
Answer:
because cations are negatively charged particles and their attracted towards a positive electrode that is anode while anions and positively charged particles and I attracted towards the negative electrode that is cathode
Explanation:
How was the was wave of the 1800s different from the
The wave of the 1800s, also known as the Second Great Awakening, was different from the First Great Awakening in several ways. Firstly, the Second Great Awakening was more widespread and lasted longer than the First Great Awakening, which occurred mainly in the mid-1700s and was centered in the New England colonies.
Secondly, the Second Great Awakening was characterized by a greater emphasis on individualism and personal religious experience, with preachers encouraging individuals to seek salvation through personal conversion and the establishment of a personal relationship with God. Thirdly, the Second Great Awakening was marked by a significant increase in the number of new religious denominations, including the Mormons, Seventh-Day Adventists, and the Disciples of Christ. Fourthly, the Second Great Awakening had a greater impact on American society as a whole, contributing to the rise of the abolitionist and women's suffrage movements. In summary, the Second Great Awakening was more widespread, emphasized individualism and personal religious experience, saw the emergence of new religious denominations, and had a greater impact on American society than the First Great Awakening.
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when an electron beam goes through a very small hole, it produces a diffraction pattern on a screen, just like that of light. does this mean that an electron spreads out as it goes through the hole? what does this pattern mean?
The phenomenon of diffraction occurs when waves encounter an obstacle or pass through a narrow aperture. Both light and electrons exhibit wave-like properties, including diffraction. When an electron beam passes through a small hole, it behaves as a wave and undergoes diffraction, resulting in a pattern on a screen similar to that produced by light.
The diffraction pattern signifies that the electron wavefront expands and spreads out after passing through the hole. This spreading out of the electron wave is indicative of its wave-like nature. However, it's important to note that the spreading out of the electron does not imply a physical expansion or size increase of the electron itself. Instead, it reflects the wave nature and probabilistic distribution of the electron.
The diffraction pattern provides information about the spatial distribution of the electron wave and allows for the inference of its characteristics, such as wavelength and intensity. It serves as evidence for the wave-particle duality of electrons and reinforces the understanding that they possess both particle and wave-like properties.
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If a net force of 68.0N acts on a 4.05kg mass, what is acceleration?
Answer:
\(\boxed {\boxed {\sf a\approx 16.79 \ m/s^2}}\)
Explanation:
Acceleration can be found by dividing the net force by the mass.
\(a=\frac{F}{m}\)
The net force is 68 Newtons. Let's change the units to make later steps simpler.
1 Newton is equal to 1 kg*m/s², so the net force of 68.0 Newtons is also equal to 68.0 kg*m/s².
The mass is 4.05 kilograms.
\(F=68.0 \ kg*m/s^2 \\m=4.05 \ kg\)
Substitute the values into the formula.
\(a=\frac{68.0 \ kg* m/s^2}{4.05 \ kg}\)
Divide. Note that the kilograms (kg) will cancel each other out when dividing.
\(a=\frac{68.0 \ m/s^2}{4.05 }\)
\(a=16.7901235 \ m/s^2\)
Let's round to the nearest hundredth. The 0 in the thousandth place tells to leave the 9 in the hundredth place.
\(a\approx 16.79 \ m/s^2\)
The acceleration is about 16.79 meters per square second.
Which force controls the size of an atomic nucleus?
1electromagnetic force
2weak nuclear force
3strong nuclear force
4gravitational force
Answer:
Strong nuclear force
Explanation:
Humpty Dumpty (5 kg) is about to a bungee jump from a 50-meter high bridge. Feeling nervous, he paces back and forth with a velocity of 2 m/s. What is Humpty Dumpty's GRAVITATIONAL POTENTIAL ENERGY before jumping?
Answer:
E = 2450 J
Explanation:
Given that,
Mass of Humpty Dumpty, m = 5 kg
He jumps from a 50 m high bridge.
Feeling nervous, he paces back and forth with a velocity of 2 m/s.
We need to find Humpty Dumpty's gravitational potential energy before jumping. The formula is given by :
\(E=mgh\\\\E=5\times 9.8\times 50\\\\E=2450\ J\)
So, the required gravitaional potential energy is 2450 J.
There is a distance of 2m between the centers of two identical spheres, each with a mass of 25 kg. What is the magnitude and the gravitational force that one sphere exerts on the other?
Given:
The mass of each sphere is
\(m_1=m_2\text{= 25 }kg\)The distance between the two spheres is r = 2 m
To find the gravitational force that one sphere exerts on the other.
Explanation:
The gravitational force is caculated by the formula
\(F=G\frac{m_1m_2}{r^2}\)Here, the universal gravitational constant is
\(G=\text{ 6.67}\times10^{-11}Nm^2kg^{-2}\)Substituting the values, the gravitational force will be
\(\begin{gathered} F=\frac{6.67\times10^{-11}\times25\times25}{(2)^2} \\ =\text{ 1.04}\times10^{-8}\text{ N} \end{gathered}\)Final Answer: The gravitational force that one sphere exerts on the other is 1.04 x10^-8 N.
If the bridge builders neglected to include expansion joints, then approximately how large of a "bump" would form in the middle of the bridge when it expanded?
a. 2.1 cm
b. 21 cm
c. 2.1 m
d. 21 m
If the bridge builders neglected to include expansion joints, then the bump that would form in the middle of the bridge when it expanded would be around 21 cm or 0.21 m.
Concrete is a rigid material and expands when exposed to heat and contracts when exposed to cold. Bridges are long structures and therefore have to withstand large temperature changes over their length. The lack of expansion joints means the bridge has no space to expand and therefore, the forces of expansion push against the bridge's walls. Since the bridge is a rigid structure, it will eventually crack under the pressure. The bump that would form in the middle of the bridge when it expanded would be around 21 cm or 0.21 m. This is because the bridge would expand from both sides towards the middle and the forces of expansion would be resisted by the bridge's walls. The resulting bump would be about 21 cm high and would be visible to drivers.
If the bridge builders neglected to include expansion joints, then the bump that would form in the middle of the bridge when it expanded would be around 21 cm or 0.21 m. Since concrete is a rigid material, it expands when exposed to heat and contracts when exposed to cold. Bridges have to withstand large temperature changes over their length. The lack of expansion joints means the bridge has no space to expand and therefore, the forces of expansion push against the bridge's walls.
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17. An object's velocity can be graphed as a function of time as seen on the right. From t=2s to t=4 s, the velocity of
the object is 3 m/s.
Answer:
(a) v = 0 m/s
(b) v = 6 m/s
(c) 6 m
(d) a = 0 m/s²
(e) a = 0.75 m/s²
Explanation:
A velocity-time graph shows the velocity (speed) and direction an object travels over a specific period of time.
y-axis = velocity (in m/s).x-axis = time (in seconds).A horizontal line means constant velocity.
When v = 0 m/s, the object is at rest.
Acceleration is the slope of the line. (A positive slope is acceleration, and a negative slope is deceleration).
Displacement (distance traveled) is the area under the graph.
Part (a)
The object's initial velocity is when t = 0 s.
Therefore, from inspection of the graph, the initial velocity is:
v = 0 m/s.Part (b)
The object's final velocity is when t = 8 s.
Therefore, from inspection of the graph, the final velocity is:
v = 6 m/sPart (c)
To calculate the displacement of the object from t = 0 s to t = 2 s, find the area under the graph between those times.
The area is a triangle with base 2 and height 3. Therefore, using the area of a triangle formula:
\(\sf Displacement=\dfrac{1}{2} \times 2 \times 3=6\;m\)Part (d)
The line between t = 2 s and t = 4 s is horizontal. Therefore, the velocity between these times is constant and so the acceleration of the object is zero:
a = 0 m/s²Part (e)
To calculate the acceleration of the object from t = 4 s to t = 8 s, find the slope of the line between these two points:
\(\implies \textsf{slope}=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\sf \dfrac{6-3}{8-4}=\dfrac{3}{4}=0.75\)
Therefore, the acceleration of the object from t = 4 s to t = 8 s is:
a = 0.75 m/s²Which statement best describes what happens when forces
are balanced?
a The forces cause a change in motion.
b The forces cause a change in direction.
C The forces do not cause a change in stability.
d The forces do not cause a change in motion.
Answer: D
Explanation:
the equation of a wave to a wave to y=0·0055m The equation of a wave is y=0·005 Sin [x (0.5x - 200t) where x and y are in metres and it is in seconds. what is the velocity of the wave?
the velocity of the wave is 400m/s
The formula for the velocity of the wave is, V = w/k
where , w is the coefficient of t and k is the coefficient of x
now putting values we get, v = 200/0.5 = 400
Hence the velocity of the wave is 400 m/s
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Assuming the speed of light is \( 300,000,000 \mathrm{~m} / \mathrm{s} \), how long would it take light to reach me from 150,000 meters away?
The time taken for the light to reach you, given that you are 150000 meters away is 0.0005 second
How do i determine the time taken?From the question given above, the following data were obtained:
Speed of light = 300000000 m/sYour distance = 150000 metersTime taken =?The time taken for the light to reach you can be obtained as illustrated below:
Speed = distance / time taken
300000000 = 150000 / time taken
Cross multiply
300000000 × time taken = 150000
Divide both sides by 300000000
Time taken = 150000 / 300000000
= 0.0005 second
Thus, we can conclude that the time taken is 0.0005 second
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Compare the properties of the elements in groups 1, 2, 17, and 18.
Answer:
im not really sure, sorry
A 2-kg mass is attached to a spring whose constant is 18 N/m, and it arrives at the position
of balance. From
t = 0, an external force equal to
f(t)=2sin2t.
Find the resulting equation of motion.
The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).
What is equation of motion?
The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.
To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.
The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.
In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.
Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).
Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).
Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).
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What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
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i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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A circuit with 0.7 A running through the battery and two 16 Ω resistors in parallel. What is the voltage of the battery?
Answer:
Below
Explanation:
The two PARALLEL resistors equal: 1 / (1/16 + 1/16) = 8 Ω
V = IR = .7 (8) = 5.6 v
Ted lifts a 10N weight at a height of 1.5 m in 1 second. Johnny lifts a 10N weight at a height of 1.5 m in 2 second. Which statements are correct? A. Johnny and Ted did the same amount of work B. Ted did more work C. Johnny and Ted expanded the same power D. Ted expanded more power E Johnny did more work F. Johnny expanded more power
Answer:
he affirmations the correct ones are: A and D
Explanation:
To find out which expressions are correct, let's calculate the work and power done by each person
the expression for work is W = F and
the expression for power is P = W / t
In this case the work is positive because the beast is in the same direction of displacement.
Ted
W₁ = 10 1.5
W₁ = 15 J
P₁ = 15/1
P₁ = 15 w
Johnny
the job
W₂ = 10 1.5
W₂ = 15 J
the potential
P₂ = 15/2
P₂ = 7.5 w
therefore we see that the work of both is the same, but Ted developed twice as much power as Johnny
when resisting the affirmations the correct ones are: A and D
how many joules are there in a candy bar containing 230,000 calories?
Approximately 962,920,000 joules in a candy bar containing 230,000 calories.
It is important to understand that joules and calories are both units of energy measurement. However, joules are the SI unit of energy, while calories are commonly used in nutrition. One calorie is equivalent to 4.184 joules.
To convert calories to joules, we can multiply the calorie value by 4.184.
Multiply the given calories by the conversion factor
In this case, 230,000 calories multiplied by 4.184 gives us 962,920,000 joules.
In summary, a candy bar containing 230,000 calories has approximately 962,920,000 joules of energy.
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Please guys i need help in this
Answer:
10 seconds
Explanation:
We have the equation V = at (speed = acceleration x time)
We want to find the time, so can rearrange to T = V/a (time = speed / acceleration).
From the question, we know V is 5 and a is 0.5.
Now we can substitute that into our equation: 5/0.5 = 10.
So the time is 10 seconds.
Hope this helps! Let me know if you have any questions :)
Although nuclear energy is considered a cleaner energy source than fossil fuels, some scientists argue this does not support the claim that nuclear energy is renewable. Which of the following claims best supports the argument that nuclear energy is a nonrenewable energy source?
A. Nuclear energy has low carbon emissions and does not contribute to global warming.
B. The uranium deposits on Earth are finite.
C. Nuclear energy is generated by the process of nuclear fission.
D. Nuclear power plants convert water to steam, similar to fossil fuel–burning power plants.
Nuclear energy can be considered a nonrenewable energy source because uranium deposits on Earth are exhaustible.
Nonrenewable resources
Nonrenewable energy or resources are those that are used at a rate that is faster than the rate at which they are naturally replenished.
The source of the world's nuclear energy is uranium deposits, a mineral that is nonrenewable. In other words, the uranium mineral deposit that fuels nuclear reactors can be exhausted one day because they are not replenished naturally.
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how would the accelerations you measured in this lab change if you were still moving the same small masses from one hanger to the other for each trial, but the total mass of the system was much larger? the measured accelerations would all be:
When the total mass of the system much larger then the measured accelerations would all be: halved.
In an Atwood's Machine, weight difference between the two hanging masses determines the net force acting on the system and this accelerates the hanging masses. Heavier mass is accelerated downward whereas the lighter mass is accelerated upward.
The second law states that the acceleration of an object depends on two variables that are: the net force acting on the object and the mass. The acceleration of an object depends directly on the net force acting on the object and inversely upon the mass.
F = m*a
Where, F denotes force, m is mass and a is acceleration. If force is doubled, acceleration also gets doubled whereas if the mass is doubled then acceleration becomes half.
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WILL GIVE BRAINLIEST HELP FASTWhat is the mass of Planet X? Note: The constant of universal gravity (G) equals 6.674 X 10-11 N·m²/kg?.
What is the centripetal acceleration of moon II? Note: The constant of universal gravity (G) equals 6.674 X 10-11 N·m²/kg?
0.069 m/s2
m
0.024 m/s2
0.081 m/s2
0.040 m/s2
0 0.19 m/s2
Answer:
Explanation:
Centripetal acceleration's equation is:
\(a_c=\frac{v^2}{r}\) where v is the velocity of the object (moon II) and r is the radius. We have the radius, but we don't have the velocity, and we can't solve for acceleration until we do have it. Assuming moon II is a circle, or close enough to be called a circle, it has a circumference.
C = 2πr. If we can find the circumference of the circle, we can plug in the orbital period for the time, the circumference for the distance, and solve for velocity in d = rt. So let's do that and see what happens.
C = 2(3.14)(9.0 × 10⁷) and
C = d = 5.7 × 10⁸. Plugging in and solving for v:
\(5.7*10^8=v(3.0*10^5)\) and
v = 1.9 × 10³. That is the velocity we can use in the centripetal acceleration equation.
\(a_c=\frac{(1.9*10^3)^2}{9.0*10^7}\) and
\(a_c=.040\frac{m}{s^2}\)
These are fun!