It would be more difficult to measure stellar distances because the farther away a star is, the smaller its apparent movement
Stellar distance refers to the distance from Earth to a star. It is measured in astronomical units (AU), light-years (ly), and parsecs (pc). The process of measuring the distance between Earth and a star is known as astrometry. Stellar distance can be determined using several methods, including parallax, standard candles, and cepheid variables. Each method has its own advantages and disadvantages. The choice of the method to use is usually based on the distance of the star from Earth and the accuracy required.
Measuring the distance of a star that is farther from Earth is more difficult than measuring the distance of a star that is closer. This is because the farther away a star is, the smaller its apparent movement. Measuring this movement accurately requires more sophisticated equipment and techniques. Overall, measuring stellar distances is a challenging task, but it is essential for understanding the universe's structure and evolution.
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Which of the following best explains Newton's Second Law? Answer A Masses accelerate, which generates forces. B The acceleration produced is a result of the force applied to a mass. C Forces are a result of the acceleration applied to a mass. D Objects with a constant rate of motion include those with a net force.
Answer:
B The acceleration produced is a result of the force applied to a mass.
Explanation:
The most fitting explanation for Newton's second law of motion is that acceleration produced is a result of the force applied.
Acceleration is the rate of change of velocity with time
Mass is the amount of matter in a substance
Force is the push or pull applied on a body to cause it to move
According to Newton's second law of motion:
"acceleration occurs when force is applied on a given mass";
Mathematically;
Force = mass x acceleration
Answer:
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Explanation:
Does sound travel faster in a warm room or a cold room? Explain your answer.
Answer:
The speed of sound is greater in hot air than it is in cold air. This is because the molecules of air are moving faster and the vibrations of the sound wave can therefore be transmitted faster. This means that when sound travels from hot air to cold air or from cold air to hot air it will refract.
Explanation:
Hope this will be help!
1. What is the final temperature of two cups of water being mix together? Cup 1 mass is 150
kg and has a temperature of 30 degrees Celsius; Cup 2 mass is 250 kg and has a temperature of
75 degrees Celsius. Specific heat for water (4186)
The final temperature of the two cups of water being mixed together, given that one cup has a temperature of 30 °C and the other has 75 °C, is 58.13 °C
How do i determine the final temperature of the two cups?To obtain the final temperature of the two cups of water, we must obtain the equilibrium temperature of the two cups of water mixture. Details below:
Mass of water in cup 1 (M) = 150 KgTemperature of water in cup 1 (T) = 30 °CMass of water in cup 2 (Mᵥᵥ) = 250 KgTemperature of water in cup 2 (Tᵥᵥ) = 75 °CSpecific heat capacity of the water = 4186 J/KgºC Equilibrium temperature (Tₑ) =?Heat loss by cup 2 = Heat gain by cup 1
MᵥᵥC(Tᵥᵥ - Tₑ) = MC(Tₑ - T)
250 × 4186 (75 - Tₑ) = 150 × 4186(Tₑ - 30)
1046500(75 - Tₑ) = 627900(Tₑ - 30)
Clear bracket
78487500 - 1046500Tₑ = 627900Tₑ - 18837000
Collect like terms
78487500 + 18837000 = 627900Tₑ + 1046500Tₑ
97324500 = 1674400Tₑ
Divide both side by 1674400
Tₑ = 97324500 / 1674400
Tₑ = 58.13 °C
From the above calculation, the equilibrium temperature is 58.13 °C.
Thus, we can conclude that the final temperature of the two cups of water is 58.13 °C
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A small underwater pool light is 2.45 m below the surface of a swimming pool. What is the radius of the circle of light on the surface, from which light emerges from the water? (nwater = 1.333). a. 3.90 m b. 1.98 m c. 2.55 m d. 2.90 m e. 1.69 m
The radius of the circle of light on the surface, from which light emerges from the water, when a small underwater pool light is 2.45 m below the surface of a swimming pool with a refractive index of 1.333 (nwater), is approximately 1.69 m (option e).
When light travels from one medium to another with different refractive indices, it undergoes refraction, which causes the light rays to change direction. In this case, as the light exits the water and enters the air, it bends away from the normal, resulting in a spread of the light beam on the surface.
To determine the radius of the circle of light, we can use Snell's Law, which relates the angles of incidence and refraction to the refractive indices of the two media. By considering the light rays that are parallel to the surface of the water at the point where the light emerges, we can calculate the angle of incidence.
Using trigonometry, we find that the angle of incidence is approximately 48.53 degrees. Then, by considering the circular symmetry of the light on the surface, we can use simple geometry to calculate the radius of the circle of light as approximately 1.69 m.
Therefore, the radius of the circle of light on the surface, emerging from the water when the small underwater pool light is 2.45 m below the surface, is approximately 1.69 m (option e).
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write the function of force
Answer:
Force can make a body that is at rest to move. It can stop a moving body or slow it down. It can accelerate the speed of a moving body. It can also change the direction of a moving body along with its shape and size.
Design an experiment to separate the components of a mixture of two solids - Sodium chloride and Sucrose. Both compounds are soluble in water, but Sucrose is much more soluble in an organic solvent (Dichloromethane) than water. Sodium chloride does not dissolve in dichloromethane.
By utilizing a funnel filter made of Sodium chloride salt as a filtration method. The organic solvent will be evaporated using the rotary evaporation method, leaving the sucrose behind.
Where is HCl found in the body?All plants naturally generate sugar, the well-known and adored simple carbohydrate, also called by its chemical formula, sucrose. This includes fruits, veggies, and even nuts. Plants including berries, vegetables, and nuts naturally contain sugars like glucose in various amounts. Sucrose is also commercially generated from sugar cane and beets.
What is HCl used for in everyday life?According to a research, ingesting "natural" sugar might be just as bad for your health as consuming high- fructose corn syrup. Sucrose, a carbohydrate, provides the energy your body needs to perform both mental and physical work. Your body converts foods like starch and sucrose into glucose and fructose during digestion. Your body breaks down food to provide your cells energy. Reduce the fructose and glucose down.
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Somebody help!?
13. The graph below represents the speed of a car vs. time. Circle the letter(s) with the lowest acceleration.
What is the acceleration? How do you know?
Answer:
acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
Explanation:
Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared .
Need help solving this question.
Answer:
See the answers below.
Explanation:
to solve this problem we must make a free body diagram, with the forces acting on the metal rod.
i)
The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.
We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.
For the summation of forces we will take the forces upwards as positive and the negative forces downwards.
ΣF = 0
\(-15+T-W=0\\T-W=15\)
Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.
ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.
ΣM = 0
\((15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N]\)
The figure shows three equal-mass spheres on a rod of very small mass. Consider the moment of inertia of the system, first when it is rotated about sphere A and then when it is rotated about sphere C.
a. Are the moments of inertia the same or different? Explain. If the moments of inertia are different, in which case is the moment of inertia greater?
Input Field
b. Each sphere has a mass of 0.10 kg. The distance between spheres A and C is 0.20 m. Find the moment of inertia in the following instances:
rotation about sphere A ---------- kg•m2
rotation about sphere C------------ kg•m2
Answer:
rotation about sphere A 0.02 kgm^2
rotation about sphere C 0.008 kgm^2
Explanation:
The moment of inertia, when rotation is about sphere A, is 0.02 kg·m².
The moment of inertia, when rotation is about sphere C, is 0.008 kg·m².
What is inertia?According to the definition of inertia, matter has the ability to remain at rest or to move uniformly in a single direction unless applied with an external force.
Given parameters:
Mass of each sphere; m = 0.10 kg.
The distance between spheres A and sphere C is ; r = 0.20 m.
Let the radius of each sphere is negligible and distance between sphere C and unleveled sphere is equals to distance between spheres A and sphere C is ; r = 0.20 m.
So, the moment of inertia in the given instances, when rotation is about sphere A, is = mr² + m(2r)²
= 5 mr²
= 5 × 0.10 × 0.20² kg·m²
= 0.02 kg·m².
And the moment of inertia, when rotation is about sphere C, is = mr² + mr²
= 2mr²
= 2 × 0.10 × 0.20² kg·m².
= 0.008 kg·m².
Hence, the moment of inertia of the system during rotation about sphere A and rotation about sphere C respectively 0.02 kg·m² and 0.008 kg·m².
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The air within a piston equipped with a cylinder absorbs 545 JJ of heat and expands from an initial volume of 0.11 LL to a final volume of 0.84 LL against an external pressure of 1.0 atmatm. Part A What is the change in internal energy of the air within the piston?
The change in internal energy of the air within the piston can be determined using the given information about the absorbed heat and the change in volume.
To find the change in internal energy of the air within the piston, we can use the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat (Q) added to the system minus the work (W) done by the system:
ΔU = Q - W
In this case, the heat absorbed by the air within the piston is given as 545 JJ (joules). The work done by the system can be calculated using the formula:
W = PΔV
Where P is the external pressure (1.0 atm) and ΔV is the change in volume (final volume - initial volume).
Substituting the given values, we have:
W = (1.0 atm) * (0.84 LL - 0.11 LL)
Now calculate the work done by the system. Once we have the work value, we can substitute it along with the given heat value into the first law of thermodynamics equation to find the change in internal energy (ΔU) of the air within the piston.
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Can anyone help me solve this question?
7. A student throws a water balloon vertically downwards from the top of a building. The balloon leaves the thrower’s hand at a speed of 6.0 m/s. air resistance may be ignored, so the water balloon is in free fall after it leaves the thrower’s hand. (a) what is its speed after falling for 2.0 s (b) how far does it fall in 2.0 s? (c) what is the magnitude of its velocity after falling 10.0 m?
The velocity of the body is 16.1 m/s.
What is Velocity?
The rate of motion and direction of an object are measured by a vector known as velocity. Therefore, we need to understand both the magnitude and direction in order to calculate the velocity according to this definition.
For instance, if an object moves at 5 meters per second (m/s) in the direction of the west, its velocity in that direction will be 5 m/s. The most popular and straightforward method for calculating velocity is given in the formula below.
While m/s (meter per second) is the SI unit for velocity, it can also be expressed in any d/t unit (distance per time). Miles per hour (mph), kilometres per second (km/s), and kilometers per hour are a few of the units that can be used to express velocity (kph).
Therefore, The velocity of the body is 16.1 m/s.
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What is the first law of gravity??
Answer:
every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
Explanation:
Why is it generally easier to push a heavy object that is already moving instead of the same heavy object that is stationary.
Whether an object is stationary or not affects the gravitational pull on it differently.
This is inertia. More mass means that heavier items are more challenging to move and stop. Greater mass in heavier items makes them more resistant to change than lighter ones.
This is a result of the box's inertia and friction force. Static friction force initially opposes the applied force while the box is at rest. With more force being exerted, it grows. If the two surfaces are at rest, there will be more developed friction between them.
While frictional forces, such as the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.
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Answer:
The force of friction on the object is different if it is stationary or not
Explanation:
What happens to particles of water as the temperature of a sample of water
approaches 0 K?
A. They slow down and stop moving.
OB. They slow down and form a solid.
OC. They break down and are no longer water.
D. They speed up to a maximum speed.
As the temperature of a sample of water approaches 0 K, particles of water slow down and form a solid. Option B
What happens to particles of water as the temperature of a sample of water approaches 0 K?This process is known as solidifying or hardening, and it happens when the temperature of a substance is brought down to the point where the warm thermal energy of the particles isn't sufficient to keep them in a fluid state.
At this point, the particles start to bond together to create a crystalline strong, which is what we commonly allude to as ice.
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hypothermia is an excessive decline in a body temperature.
"hypothermia is an excessive decline in a body temperature" - True.
What is the hypothermia?Extreme cold exposure can result in severe complications including frostbite and hypothermia (an unusually low body temperature).
The body temperature must be above 35°C to avoid hypothermia. This can happen after a protracted period of being exposed to temperatures below 10°C or after a protracted period of being submerged in water that is below 20°C. Hypothermia may prevent a person from realising that they need to get help.
Hypothermia is characterised by shivering, shaky hands, and/or reduced mobility. Speak incoherently. Unexpected low energy or weariness. unexpected perplexity (unable to think clearly).
Thus, the given statement is true.
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Another unfortunate bug splatters on the windshield of a moving car. Which has the greater change in momentum---the bug or the car?
Answer:
The change in momentum for the bug and the car will be equal, impulses will be equal in opposite directions and the bug will have a greater acceleration compared to the car, because it has a smaller mass.
Explanation:
Hope this helps..
1. What is the acceleration of a car that goes from 20 Km/hr to 100 km/hr in 8 seconds?
Answer:
10 :)
You have to divide the difference of speed and divide it by the time. So 100-20 would be 80, and if you divide that by 8 it would be 10.
Hope this helps.
Why don't normal everyday collisions result in fusion?
The displacement from Fairplay to Leadville is only 15. 68 miles west. What is your average velocity as you travel between Fairplay and Leadville? (include your units)
If you could also provide an accurate explanation that would be great, but if you only have the answer that's fine. :)
The average velocity as you travel between Fairplay and Leadville, assuming a 1-hour journey, is 15.68 miles per hour.
To calculate the average velocity between Fairplay and Leadville, we need to know the time it takes to travel that distance. Without the time information, we cannot determine the average velocity accurately. Velocity is defined as the displacement divided by the time.
However, if we assume a certain time for the journey, we can calculate the average velocity based on that assumption. Let's assume it takes 1 hour (60 minutes) to travel from Fairplay to Leadville.
Average velocity = displacement / time
Given:
Displacement = 15.68 miles west
Time = 1 hour (or 60 minutes)
Average velocity = 15.68 miles / 1 hour
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The figure shows a horizontal pipe with a circular cross section whose diameter varies. The cross-sectional area at X is 3.0×10−4m2 and at Y is 0.60×10−4m2. Water of density 1000kg/m3 fills the pipe and flows through it at a constant rate of 2.4×10−4m3/s. The difference in pressure between X and Y is most nearly 750 Pa 750 Pa A 1600 Pa 1600 Pa B 7700 Pa 7700 Pa C 8320 Pa 8320 Pa D
By Bernoulli's Principle :
\(P_x+\dfrac{\rho v_x^2}{2}+\rho gz_x=P_y+\dfrac{\rho v_y^2}{2}+\rho gz_y\)
Since , pipe is horizontal so every point is at same height .
So , \(z_x=z_y\) .
The equation will reduced to :
\(P_x+\dfrac{\rho v_x^2}{2}=P_y+\dfrac{\rho v_y^2}{2}\) ..... 1 )
Also flow rate will be constant :
\(Q=A_xv_x=A_yv_y\)
\(v_x=\dfrac{Q}{A_x}\\\\v_x=\dfrac{2.4\times 10^{-4}}{3\times 10^{-4}}\ m/s\\\\v_x=0.8\ m/s\)
\(v_y=\dfrac{Q}{A_y}\\\\v_y=\dfrac{2.4\times 10^{-4}}{0.6\times 10^{-4}}\ m/s\\\\v_x=4\ m/s\)
Now ,
\(P_x-P_y=\dfrac{\rho v_y^2}{2}-\dfrac{\rho v_x^2}{2}\\\\P_x-P_y=\rho[\dfrac{ v_y^2}{2}-\dfrac{v_x^2}{2}]\\\\P_x-P_y=1000\times [\dfrac{ 4^2}{2}-\dfrac{0.8^2}{2}]\\\\P_x-P_y=7680\ Pa\)
Difference in pressure between X and Y is most near to 7700 Pa.
Hence, this is the required solution.
Determine time taken for temperature to fall from 65 to 55
The time taken for temperature to fall from 45°C to 35°C is 6.21 minutes when a liquid cools from 65°C to 55°C in 5 mins.
We can utilize Newton's Law of Cooling to tackle this issue. It expresses that the pace of progress of temperature of an article is corresponding to the distinction in temperature between the item and its environmental elements.
Utilizing this regulation, we can compose:
(dT/dt) = - k(T - Ts)
where dT/dt is the pace of progress of temperature, k is the cooling steady, T is the temperature of the fluid, and Ts is the temperature of the environmental elements.
To begin with, how about we track down the cooling steady. From the given data, we know that the fluid cools from 65°C to 55°C in 5 mins. Subsequently, we can compose:
-10 = - k(65 - 35)
k = 0.5
Presently, we can utilize this worth of k to make the opportunity taken for temperature to decrease from 45°C to 35°C. We want to tackle:
(dT/dt) = - 0.5(T - 35)
with introductory condition T(0) = 45.
Isolating factors and coordinating the two sides, we get:
ln|T - 35| = - 0.5t + C
Utilizing the underlying condition T(0) = 45, we get:
ln|10| = C
C = 2.303
Subbing this worth of C, we get:
ln|T - 35| = - 0.5t + 2.303
Taking dramatic on the two sides, we get:
|T - 35| = e^(- 0.5t+2.303)
Settling for T = 35°C, we get:
t = 6.21 minutes.
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The complete question is:
A liquid cools from 65°C to 55°C in 5 mins. If the surrounding temperature is 35℃, calculate the time taken for temperature to fall from 45°C to 35°C.
A 31 kg object is experiencing a net force of 25 N while traveling in a circle of radius 25m. What is its velocity?
Answer:
4.5m/s
Explanation:
Given parameters:
Mass of object = 31kg
Net force = 25N
radius = 25m
Unknown:
Velocity = ?
Solution:
To solve this problem, we must understand that the net force here is a centripetal force.
F = \(\frac{mv^{2} }{r}\)
F is the centripetal force
m is the mass
v is the velocity
m is the mass
25 = \(\frac{31 x v^{2} }{25}\)
31v² = 625
v² = 20.2
v = 4.5m/s
Suppose that two identical capacitors have capacitance C. Let Cmax denote the largest possible equivalent capacitance that can be made by combining the capacitors, and Cmin denote the smallest. How does Cmax compare to Cmin ? O Cmax = 4Cmin O Cmax = 3/2 CminO Cmax = 3 Cmin O Cmax = Cmin O Cmax = 2 min
The relationship between Cmax and Cmin is that **Cmax is equal to 2 times Cmin**.
The **largest possible equivalent capacitance** (Cmax) that can be made by combining two identical capacitors with capacitance C is obtained when the capacitors are connected in parallel.
When capacitors are connected in parallel, the total capacitance is equal to the sum of the individual capacitances. Therefore, Cmax = C + C = 2C.
On the other hand, the **smallest possible equivalent capacitance** (Cmin) is obtained when the capacitors are connected in series.
When capacitors are connected in series, the reciprocal of the total capacitance is equal to the sum of the reciprocals of the individual capacitances. Mathematically, 1/Cmin = 1/C + 1/C. Simplifying this expression gives 1/Cmin = 2/C. Taking the reciprocal of both sides yields Cmin = C/2.
Therefore, the relationship between Cmax and Cmin is that **Cmax is equal to 2 times Cmin**.
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what is the difference between passive and active solar heating
Passive solar heating utilizes design and natural processes to capture and distribute solar energy without mechanical devices, while active solar heating uses mechanical systems to collect and distribute solar heat, requiring external energy inputs.
Passive solar heating and active solar heating are two different approaches to utilizing solar energy for heating purposes. Here's a brief explanation of each:
1. Passive Solar Heating:
Passive solar heating refers to the design and use of building materials to capture, store, and distribute solar energy without the use of mechanical or electrical devices. It relies on natural processes and elements to maximize solar gain and heat transfer. Some common passive solar heating techniques include:
Orienting buildings to maximize exposure to the sun's rays.Incorporating large south-facing windows to allow sunlight into the building.Utilizing thermal mass materials, such as concrete or brick, to absorb and store heat during the day and release it gradually at night.Using natural ventilation and shading techniques to control heat gain and loss.Passive solar heating systems do not require active mechanical components like pumps or fans and are generally considered more energy-efficient and cost-effective.
2. Active Solar Heating:
Active solar heating involves the use of mechanical and electrical devices to collect, store, and distribute solar energy for heating purposes. It typically utilizes solar collectors, such as solar panels or solar thermal systems, to capture sunlight and convert it into heat energy. The collected heat is then transferred to a heat storage system or directly used to provide space heating or water heating. Active solar heating systems may involve pumps, fans, and controls to circulate the heated fluid or air throughout the building.
Active solar heating systems require external energy inputs, such as electricity for powering pumps or fans, and often involve more complex installation and maintenance compared to passive solar heating. However, they can offer greater control and efficiency in heating applications, especially in larger or more demanding spaces.
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In a museum exhibit, three equal weights are hung with
identical wires. Each wire can support a tension of no
more than 75.0 N without breaking. What is the maximum value
that W can be without breaking any wires?
A 50.0 N
B 25.0 N
C 75.0 N
D 35.0 N
Answer:(B) 25.0 N
Explanation:
This is what makes most since. You are wanting to look at the stress of the first wire. 25 *3 for the amount of balls handing of the string you get 75.0 N which is the max the top wire can hold without breaking! Hope this helps!
A ball is projected with 40m/s vertically upward. (Ignore air resistance)
Compute A. the total time of flight
B. the maximum height
C. the velocity at t=5s
IN DESPERATE NEED OF HELP!!!
Make us of equation of motion formulas.
a.) the total time of flight = 8.16 s
b.) the maximum height reached = 81.6 m
c.) the velocity at t = 5s = 9 m/s
Motion Under GravityMotion of any object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.
Given that a ball is projected with 40 m/s vertically upward.
A. the total time of flight of the ball will be T = 2t
At maximum height, v = 0.
v = u - gt
0 = 40 - 9.8t
9.8t = 40
t = 40 / 9.8
t = 4.08 s
T = 2 × 4.08
T = 8.16 s
B. the maximum height H can be found by using the formula
v² = u² - 2gH
At maximum height, v = 0
0 = u² - 2 × 9.8 × H
40² = 19.6H
H = 1600/19.6
H = 81.6 m
C. the velocity at t = 5s will be v
v = u - gt
v = 40 - 9.8 × 5
v = 40 - 49
v = - 9 m/s
That is, 9 m/s in the opposite direction ( coming downward )
Therefore, the total time of flight of the ball is 8.16 s, the maximum height reached is 81.6 m and the velocity at t = 5s is 9 m/s
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I need help for 2 ASAP I haven’t been able to figure it out :(
Name and briefly describe the 10 “world climates” or biomes
These are Some climates
Tropical.
Dry.
Temperate.
Continental.
Polar.
And these are some biomes
aquatic, grassland, forest, desert, and tundra,
A bus slows from 10 m/s to a stop in 4 seconds.
What is its change in velocity? what is its acceleration?
Answer:
cant see to find the answer sorry :( i tried :( good luck !! you'll do great <3333 BEST OF LUCK :DDDD
Explanation:
A 5 m long cylindrical tunnel of diameter 1.5 m connects an underground chamber to a residential room. The chamber is polluted with a toxic gas at a concentration of 30mgm −3 . The concentration of toxic gas in the residential room is maintained at a safe concentration of 3mgm −3 . The diffusion coefficient is 0.065 m 2 minute −1 . Calculate the flux per unit area of the toxic gas towards the residential room.
The flux per unit area of the toxic gas towards the residential room is 0.351 mg/(m^2 * minute).
To calculate the flux per unit area of the toxic gas towards the residential room, we can use Fick's law of diffusion, which states that the flux (J) is proportional to the concentration gradient (ΔC) and the diffusion coefficient (D), and inversely proportional to the distance (Δx):
J = -D * (ΔC / Δx)
In this case, we want to calculate the flux per unit area, so we need to divide the flux by the area of the tunnel.
Length of the tunnel (Δx) = 5 m
Diameter of the tunnel = 1.5 m (radius = 0.75 m)
Concentration in the chamber (C1) = 30 mg/m^3
Concentration in the residential room (C2) = 3 mg/m^3
Diffusion coefficient (D) = 0.065 m^2/minute
First, let's calculate the concentration gradient:
ΔC = C2 - C1 = 3 mg/m^3 - 30 mg/m^3 = -27 mg/m^3
Next, let's calculate the area of the tunnel:
Area = π * (radius)^2 = π * (0.75 m)^2 = 1.767 m^2
Now, we can calculate the flux per unit area:
J = -D * (ΔC / Δx) = -0.065 m^2/minute * (-27 mg/m^3 / 5 m) = 0.351 mg/(m^2 * minute)
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