Yes, the driver is exceeding the speed limit.
To compare the car's speed with the speed limit, we need to convert both speeds to the same unit. The speed limit is given in miles per hour (mi/h), while the car's speed is given in meters per second (m/s).
Converting the speed limit:
60.0 mi/h * 1609.34 m/km * 1 km/1000 m * 1 h/3600 s ≈ 26.82 m/s
Comparing the car's speed:
35.1 m/s > 26.82 m/s
Since the car's speed of 35.1 m/s is greater than the converted speed limit of 26.82 m/s, we can conclude that the driver is exceeding the speed limit on the interstate highway.
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a quarterback threw a football at 24 m/s at a 45 degree angle. if it took the ball 3.0 s to reach the top of its path, how long was it in the air?
A quarterback threw a football at 24 m/s at a 45 degree angle. if it took the ball 3.0 s time to reach the top of its path, it was 6 sec in the air.
Total time of flight = 2 × time to reach highest altitude.
= 2 × 3
Total time of flight = 6 sec.
The basis of the time-of-flight principle is the measurement of the amount of time it takes a wave to move from its source (a time sensor) to an object and back. You may determine the distance of that object from the source using this information along with some basic math and physics concepts (like wave propagation). While usually using light signals, either laser or LED, depending on the technology, numerous types of waves may be employed with various outcomes.
Time-of-flight imaging is one of many techniques for obtaining 3D images, along with others like stereoscopic cameras (which have two independent lenses to replicate depth perception) and structured light imaging (in which a structured image, like a grid, is projected onto an object).
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In 1912, Alfred Wegener proposed his continental drift theory and was widely rejected. Imagine if you had to assist Wegener in proving that we live on huge plates that are constantly in motion. Luckily, you also have provided resources such as videos and articles to compile your evidence and help Wegener. Present your research using an interactive PowerPoint or Storyboard while answering the below questions.
1. What does the theory of plate tectonics state?
2. What was Pangaea?
3. Why was Wegener's original idea about continental drift referred to as intuition and not science?
4. What did Wegener find that he believed was evidence to support his theory?
Evidence for plate tectonics
Research the evidence that scientists used to prove the theory that continents move.
Research rock formation evidence and give examples.
Research fossils evidence
o Research fossil evidence of the following organisms: Glossopteris, Mesosaurus, Cynognathus and Lystrosaurus. Summarize the type of organisms, their habitat and climate conditions.
5. Research evidence from glaciers and coal deposits.
Answer:
1. The theory of plate tectonics states that the Earth's outer shell is divided into several plates that move and interact with each other. These plates are made up of the Earth's crust and the upper part of the mantle, and they move due to the convection currents in the mantle.
2. Pangaea was a supercontinent that existed about 300 million years ago. It was made up of all the continents that we know today, and it began to break apart about 200 million years ago.
3. Wegener's original idea about continental drift was referred to as intuition and not science because he did not have a mechanism to explain how the continents moved. Additionally, he did not have enough evidence to support his theory.
4. Wegener found several pieces of evidence that he believed supported his theory of continental drift. He noticed that the coastlines of South America and Africa fit together like puzzle pieces, and he also found similar rock formations and fossils on both continents.
Evidence for plate tectonics:
Rock formation evidence: Scientists have found similar rock formations on different continents that were once connected. For example, the Appalachian Mountains in North America and the Caledonian Mountains in Europe have similar rock formations.
Fossil evidence: Scientists have found fossils of the same species on different continents that were once connected. For example, the Glossopteris plant was found in South America, Africa, India, Australia, and Antarctica. This suggests that these continents were once connected and had similar climates.
Glossopteris: Glossopteris was a plant that lived about 250 million years ago. It was found on several continents that were once connected, including South America, Africa, India, Australia, and Antarctica. This suggests that these continents were once connected and had similar climates.
Mesosaurus: Mesosaurus was a freshwater reptile that lived about 300 million years ago. Its fossils have been found in South America and Africa, which suggests that these continents were once connected and had similar habitats.
Cynognathus: Cynognathus was a carnivorous mammal-like reptile that lived about 250 million years ago. Its fossils have been found in South America, Africa, and Antarctica, which suggests that these continents were once connected and had similar habitats.
Lystrosaurus: Lystrosaurus was a herbivorous mammal-like reptile that lived about 250 million years ago. Its fossils have been found in South America, Africa, India, and Antarctica, which suggests that these continents were once connected and had similar habitats.
Glacier and coal deposit evidence: Scientists have found evidence of glaciers and coal deposits in areas that are now near the equator. This suggests that these areas were once located near the poles and have moved due to plate tectonics. Additionally, coal deposits found in Antarctica suggest that it was once located in a warmer climate.
Which of the following is measured by the Schwarzschild Radius?
AO The radius of the singularity for a black hole
B. the radius of the event horizon tor a hack hole
C. The radius of the degenerate electron sphere in a white dwart.
DO The radius of the synchrotron beam for a neutron star.
The radius of the event horizon for a black hole is measured by the Schwarzschild Radius.
Hence, the correct option is B.
The Schwarzschild Radius is a characteristic length scale associated with a non-rotating, spherically symmetric black hole.
It represents the radius of the event horizon, which is the boundary beyond which nothing, including light, can escape the gravitational pull of the black hole.
It is denoted by the symbol "rs" and is calculated based on the mass of the black hole. The Schwarzschild Radius determines the size of the event horizon and plays a crucial role in defining the properties of a black hole.
Therefore, The radius of the event horizon for a black hole is measured by the Schwarzschild Radius
Hence, the correct option is B.
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hii! help asap. i’ll give brainliest thanks!
Answer:
a i believe
Explanation:
Why unit of pascal is called derived unit?
Answer:
This is because it is derived from newtons and metres as shown in the expression;
Explanation:
\(pressure = \frac{force}{area} \\ P= \frac{F}{A} \\ P= \frac{newtons}{ {m}^{2} } \\ = pascals\)
Answer:
Unit of pascal is called derived unit because it involves three fundamental units i.e.meter,kg,and second.
Explanation:
formula of pascal=kg/m/s^2
Can somebody please help?!
Answer:
I believe the answer is d
where would you place a leak detector probe to check gas leaks into the water box with water removed
To check for gas leaks in a water box with water removed, a leak detector probe should be placed at the gas inlet valve or regulator. This is the point where the gas enters the water box, and any leaks here can result in gas buildup inside the box.
1. First, ensure that the water box is empty and the system is turned off for safety.
2. Next, select a leak detector probe designed for detecting the specific gas in question.
3. Begin by inspecting the water box's inlet and outlet connections, as these are common leak points. Place the leak detector probe near these areas and monitor for any signs of gas presence.
4. Continue by examining the joints, seams, and gaskets of the water box, as these are also potential leak sources. Carefully move the probe along these parts, paying close attention to the readings.
5. Finally, check any valves, regulators, or other components connected to the water box. Position the probe around these areas, ensuring thorough coverage.
By following this methodical approach, you can effectively identify and locate gas leaks in a water box with the water removed.
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How many moles are in 73.4 grams of Phosphorus?
A robin is flying around and its velocity vvv as a function of time ttt is given in the graph below where rightwards is the positive velocity direction. What is the robin's displacement \Delta xΔxdelta, x from t=0\,\text st=0st, equals, 0, start text, s, end text to 1.5\,\text s1.5s1, point, 5, start text, s, end text?
Answer:
-0.75
Explanation:
Khan Academy gives answer here.
a
17. When a 50 cm long wooden log has a radius of 7 cm and a mass of 770g, what is
the density of the wood?
Answer:
The density is 1.1gcm3
a distant star is moving away from the earth at 1/3 of the speed of light. standing on the star, the light will travel towards the earth at the speed of light. how fast will light be moving as measured on the earth?
Whenever a distant star is traveling away from the planet at a pace of 1/3 the speed of light, then speed of light will be moving as it is observed on Earth. The light will reach globe at the faster than light if it were on a star.
Does light imply it isn't heavy?Something that is light as an adjective is not heavy, onerous, or depressing. A discussion subject or a musical piece may both be light, just like a backpack. For instance, The weight is small, but the path is lengthy.
Who made light possible?Using a bank of battery and two charcoal rods, Humphry Davy showed the first blazing light to the National Institute in Great Britain. Arc lamps were used in the first electric streetlights in several places.
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Bowling ball rolls up a ramp 0.75 m high without slipping to storage. it has an initial velocity of its center of mass of 4.2 m/s. (a) what is its velocity at the top of the ramp? (b) if the ramp is 1 m high does it make it to the top?
(a) Using conservation of energy, the velocity of the ball at the top of the ramp is 3.9 m/s.
(b) When the height of the ramp is 1 m, the ball does not make it to the top of the ramp
Given,
Height of the ramp, h = 0.75 m
Initial velocity of the center of mass, u = 4.2 m/s
(a) What is its velocity at the top of the ramp?
The bowling ball rolls up a ramp of height 0.75 m without slipping to storage, and it has an initial velocity of its center of mass of 4.2 m/s. It is asked to determine the velocity of the ball at the top of the ramp.
Let the velocity of the ball at the top of the ramp be v.
By the law of conservation of energy, the potential energy of the ball at the bottom of the ramp is equal to the kinetic energy of the ball at the top of the ramp.
PE at the bottom of the ramp = KE at the top of the ramp
mgh = (1/2)mu² + (1/2)Iω²
where
m = mass of the ball
g = acceleration due to gravity
I = moment of inertia of the ball
ω = angular velocity of the ball
Assuming the ball is a solid sphere,
I = (2/5)mr²
where r is the radius of the sphere
At the bottom of the ramp,
PE = mgh
At the top of the ramp,
KE = (1/2)mu² + (1/2)(2/5)mu²
Substituting the given values,
PE = mgh = 0.75mg
KE = (1/2)mu² + (1/2)(2/5)mu²
= (1/2)(7/5)mu²
= (7/10)mu²
At the top of the ramp,
PE = KE
0.75mg = (7/10)mu²
v = u * √(7/10)
= 4.2 * √(7/10)
≈ 3.9 m/s
Therefore, the velocity of the ball at the top of the ramp is approximately 3.9 m/s.
(b) If the ramp is 1 m high does it make it to the top?
When the height of the ramp is 1 m,
PE = mgh = 1mg
At the top of the ramp,
KE = (1/2)mu² + (1/2)(2/5)mu²
= (1/2)(7/5)mu²
= (7/10)mu²
At the top of the ramp,
PE = KE
1mg = (7/10)mu²
u² = (10/7)gh
v = u * √(7/10)
= √(10gh/7)
≈ 3.96 √h m/s
Therefore, when the height of the ramp is 1 m, the ball does not make it to the top of the ramp.
Using the law of conservation of energy, the velocity of the ball at the top of the ramp is found to be approximately 3.9 m/s. When the height of the ramp is increased to 1 m, the ball does not make it to the top of the ramp.
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What is the energy required to change the temperature of 1 kg of water from 27 oc to 77 oc? remember, that the specific heat 4186 j/kg c. answer only in numbers to the nearest whole number. what is the energy required to change the temperature of 1 kg of water from 27 oc to 77 oc? remember, that the specific heat 4186 j/kg c. answer only in numbers to the nearest whole number.
The energy required to change the temperature from 26°C to 64°C is 209300 J.
Heat is a form of energy that can be transferred from one object to another due to different temperatures.
The heat required to raise the temperature is expressed by the equation:
Q = m.c.ΔT
where,
Q: Heat (Joules)
m: mass (kg)
ΔT: temperature change (°C)
c: specific heat (J/kg C)
In the given question mass are 1 kg and the temperature change from 27°C to 77°C. (the specific heat is 4186 J/kg°C)
Q = m.c.ΔT
Q = 1 x 4186 x (77°C - 27°C)
Q = 4186 x 50°C
Q = 209300 J
So, the energy required to change the temperature is 209300 J.
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Water is a powerful solvent because it is a polar molecule true or false
Answer:
True
Explanation:
¿Cómo
se
ajosta
o pondero un error de medicion?
Answer:
sorry do not speak Spanish so I would not be able to help you probably cannot read this but I would be happy to help you if you follow me and bake English so thank you
An astronomer reports they have measured the parallax angle of 10 arcseconds for a star. is this reasonable?
An astronomer reports they have measured the parallax angle of 10 arc seconds for a star. which is reasonable as "the smaller a star's parallax angle, the further away it is."
What is parallax angle?A parallax angle is the distance evaluated from a nearby star between both the Earth at one time year and the Earth six months after that.
Some key features regarding the parallax angle are-
Astronomers are using this angle to calculate the distance between Earth and a star.Astronomers examine the sky on a particular timeline and then again six months later to determine how much a neighboring star appears to shift in relation to the background. The angle at which these astronomers measure the star to move is the same angle at which they would see the Earth keep moving if they could make the journey to the star. Scientists have all the information individuals need to calculate the distance to the star because they know how far the Earth has managed to travel in six months (twice distance to a Sun).To know more about the parallax angle, here
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If the force each person applies is vertical, what is the magnitude of the force applied by the person above? express your answer with the appropriate units.
According to the question the force applied by the person above is 1401.4 N.
What is force?Force is a physical quantity that is a measure of the interaction between objects. It is a vector, which means it has both magnitude and direction. Force is an influence that can cause an object to accelerate, decelerate, change direction, or remain in its current state. It is the result of an interaction between two objects that either attracts or repels them. Examples of forces include gravity, friction, electromagnetic force, and the force of a muscle. Force is a fundamental concept in physics and is necessary for understanding the behavior of matter and its interactions with energy.
The magnitude of the force applied by the person above can be calculated using the equation F = mgsinθ, where m is the mass of the crate (200 kg), g is the acceleration due to gravity (\(9.8 m/s^2\)), and θ is the angle of the stairs (45°).
Therefore, the force applied by the person above is
\((200 kg)(9.8 m/s^2)(sin45^\circ) = 1401.4 N.\)
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Complete Question:
How long would it take the Concorde to travel the 6265 km between New York City and London England, assuming that the jet travels at its maximum speed of 2,150 km/h during the entire trip?
Answer:
2.9 Hrs
Explanation:
Time = Distance/velocity
6265 / 2150 ≈ 2.9 hrs
I need to know how to draw the diagram of the last two questions
Answer
In the parallel circuit, you have to position the switch on only one of the loops.
Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan
SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-
They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.
Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.
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to analyze the characteristics and performance of the brakes on a 1500 kg car, researchers collected the data shown in the table above. it shows the car’s speed when the brakes are first applied and the corresponding braking distance required to stop the car. the magnitude of the average braking force on the car is most nearly:
He magnitude of the average braking force is 12,000 N.
The braking force can be calculated using the following formula:
Braking Force = (0.5 x mass of the car x squared velocity) / distanceNow, let's use this formula to find the Braking force in each case based on the information of the chart:
F = (0.5 x 1,500 x 100) / 6.1 = 12,295F = (0.5 x 1,500 x 400) / 23.9 = 12,550F = (0.5 x 1,500 x 900) / 53.5 = 12,616Now, let's add the results and divide the result into three to find the average:
12,295 + 12,550 + 12,616 = 37,461/ 3 = 12,487From these, the option that is the most similar is C 12,000 N
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Books in a library were counted one by one. There were a total of 57000 books in the library. How many significant digits are there in the result? Will the result change if the books are measured in the paacket of 10?
The total number of significant digits in the given number is five. If the books are measured in packets of 10, the number of significant digits reduces to two.
The given data is: Total number of books in the library = 57,000. We are to determine how many significant digits are there in the result? For this, let us define what are significant digits: Digits that are used to communicate meaning or accuracy of measurements are known as significant digits. In other words, the digits that carry meaning contributing to its measurement uncertainty are called significant digits. It is used to determine the accuracy of the results. In this question, the total number of books in the library is given as 57,000. As there are five non-zero digits in the given number, there are five significant digits in the result. Will the result change if the books are measured in the packet of 10? If the number of books is measured in the packet of 10, then there will be a change in the number of significant digits. When we express 57,000 in the packet of 10, we get: 57,000 = 5.7 × 10^4. Now, there are only two significant digits in the result (5 and 7), and hence the result changes.
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Yusuf is moving at a speed of 1.4 m/s? and has a mass of 71 kg. How much kinetic energy does he have?
Formula for kinetic energy:
K = ½mv²
Given:
v = 1.4 m/s
m = 71 kg
K = ½ · 71.0 kg · (1.4 m/s)²
K = 35.5 kg · 1.96 m²/s²
K = 69.58 J
what happens to the particles in a substance during a physical change?
Answer:
In physical changes no new materials are formed and the particles do not change apart from gaining or losing energy. ... Particles stay the same unless there is a chemical change whether the matter is solid, liquid or gas. Only their arrangement, energy and movement changes.
Explanation:
this is true because if you think about it if you put a pill in a glass of water it dissolves its like particles
What is centripetal force? A. A force acting parallel to the path of an object in circular B. A force opposing motion along a circular path C. A force acting away from the center of a circular motion D. A force acting toward the center of a circular motion
Answer:
c.
Explanation:
Answer:
Centripetal force is the force acting towards the center of circular motion or path.
\({ \tt{formular : \: F = \frac{m {v}^{2} }{r} }} \\ { \tt{F : \: is \: centripetal \: force}} \\ { \tt{m : \: is \: mass}} \\ { \tt{v : \: is \: velocity}} \\ { \tt{r : \: is \: radius}}\)
Explanation:
Its opposite is centrifugal force which acts away from the center of circular path.
1)A particle at 1.65s is at 4.48m and at 2.05s is at 4.95m. What is its average velocity?
2)A bird can fly 95.6 km/h. How long does it take to fly 778 km? Express your answer in hours [h].
3)if you are driving 116 km/h along a straight road and you look to the side for 13.8s, how far you travel during this inattentive period? Express your answer in meters.
Please I need help!
According to the problem the average velocity of 0.47m/0.4s = 1.175m/s.
What is average velocity?Average velocity is a term used to describe an object's rate of change in its position. It is a vector quantity, meaning it has both a magnitude (the speed at which the object is moving) and a direction.
1) The average velocity of the particle can be calculated by taking the difference in position at different times and dividing it by the difference in time. For this given problem, the average velocity can be calculated by taking the difference in position (4.95m - 4.48m = 0.47m) and
dividing it by the difference in time (2.05s - 1.65s = 0.4s).
This gives an average velocity of 0.47m/0.4s = 1.175m/s.
2) To find the time it takes the bird to fly 778 km,
we can divide the total distance by the bird's speed.
Since the bird can fly 95.6 km/h, we divide 778 km by 95.6 km/h.
This gives 778 km/95.6 km/h = 8.14 h.
Therefore, it takes 8.14 h for the bird to fly 778 km.
3) To calculate the distance a person travels while looking away for 13.8s, we can take the speed of 116 km/h and convert it to m/s.
To do this, we divide 116 km/h by 3.6, giving 32.22 m/s.
We then multiply this by the time of 13.8s to get the distance travelled: 32.22 m/s x 13.8 s = 445.2 m.
Therefore, the person travels 445.2 m during the inattentive period of 13.8s.
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A diverging lens with f = -37.5 cm is placed 15.0 cm behind a converging lens with f = 21.0 cm .Where will an object at infinity be focused? Determine the image distance from the second lens. Follow the sign conventions.
This means that the final image is generated 26.25 cm in front of the converging lens on the object's opposite side.
The image produced by the diverging lens acts as the object for the converging lens. Using the thin lens formula, we can find the location of the image from the diverging lens:
1/f = 1/di - 1/do
where f is the focal length of the diverging lens, di is the image distance from the diverging lens, and do is the object distance from the diverging lens (which is infinity in this case).
1/-37.5 = 1/di - 0
Solving for di, we get:
di = -37.5 cm
This means that the image from the diverging lens is formed 37.5 cm behind the lens on the same side as the object.
This image acts as the object for the converging lens. Using the thin lens formula again, we can find the location of the final image:
1/f = 1/di - 1/do
where f is the focal length of the converging lens, di is the distance of the image from the diverging lens (which we just found to be -37.5 cm), and do is the distance of the object from the converging lens (which is the distance of the image from the diverging lens, or -37.5 cm).
1/21.0 = 1/-37.5 - 1/-37.5
Solving for do, we get:
do = -26.25 cm
This means that the final image is formed 26.25 cm in front of the converging lens on the opposite side of the object. The negative sign indicates that the image is virtual (i.e. it cannot be projected onto a screen).
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Help fast
Who is often referred to as the "father of modern physics?"
Rutherford
Edison
Newton
Dalton
Answer:
C. Newton
Explanation:
hope this helped:)
which of the following will have the lowest average kinetic energy? a) h₂ at 400 °c b) o₂ at 300 °c c) h₂o at 300 °c d) he at 200 °c
D) He at 200 °C has the lowest temperature and therefore the lowest average kinetic energy
The average kinetic energy of a gas is directly proportional to its temperature. Therefore, the gas with the lowest average kinetic energy will be the one with the lowest temperature among the options provided.
Given the options:
a) H₂ at 400 °C
b) O₂ at 300 °C
c) H₂O at 300 °C
d) He at 200 °C
To compare the temperatures and determine the gas with the lowest average kinetic energy, we need to convert the temperatures from Celsius to Kelvin. This is because temperature in Kelvin is directly proportional to kinetic energy.
Converting the temperatures:
a) H₂ at 400 °C = 400 + 273.15 = 673.15 K
b) O₂ at 300 °C = 300 + 273.15 = 573.15 K
c) H₂O at 300 °C = 300 + 273.15 = 573.15 K
d) He at 200 °C = 200 + 273.15 = 473.15 K
Comparing the temperatures, we find that He at 200 °C has the lowest temperature and therefore the lowest average kinetic energy among the given options. The average kinetic energy of He at 200 °C is lower than that of H₂ at 400 °C, O₂ at 300 °C, and H₂O at 300 °C.
The average kinetic energy is a measure of the average motion of the gas molecules. Lower temperatures result in lower average kinetic energy, indicating slower molecular motion. In this case, He at 200 °C has the lowest temperature and, therefore, the lowest average kinetic energy among the given options. Therefore, Option D is correct.
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A runner is jogging in a straight line at a steady Vr= 3.4km/hr. When the runner is L=8km from the finish line, a bird begins flying straight from the runner to the finish line at Vb= 17km/hr(5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner. What cumulative distance does the bird travel?
Answer:
The cumulative distance that the bird travel is 13.33 Km
Explanation:
Given that,
Velocity of runner = 3.4 km/hr
Distance = 8 km
Velocity of bird = 17 km/hr
Let x is the distance from the origin where the runner run into the bird
We need to calculate the value of x
Using time of runner and bird
\(t_{r}=t_{b}\)
\(\dfrac{d_{r}}{v_{r}}=\dfrac{d_{b}}{v_{b}}\)
Put the value into the formula
\(\dfrac{x}{3.4}=\dfrac{8+(8-x)}{17}\)
\(17x=3.4\times8+3.4(8-x)\)
\(17x=27.2+27.2-3.4x\)
\(17x+3.4x=54.4\)
\(x=\dfrac{54.4}{20.4}\)
\(x=2.67\)
We need to calculate the cumulative distance that the bird travel
Using distance of bird
\(d_{b}=16-x\)
Put the value into the formula
\(d_{b}=16-2.67\)
\(d_{b}=13.33\ km\)
Hence, The cumulative distance that the bird travel is 13.33 Km