A 4 m telescope can collect a given amount of light in 3 hour.
Under the same observing conditions, how much time would be required for a 8 m telescope to perform the same task?
What is the velocity of an object that moves from 73 m to 62 m in 15 s?
Answer:
Below
Explanation:
You can use this formula to find the velocity of an object
velocity = displacement / change in time
For this problem, we need to find displacement first
To find displacement all you need to do is find the difference between the two distances!
So our displacement here would be
73 - 62 = 11 m
Now that we have displacement we can find velocity
velocity = 11 / 15
= 0.733333....
= 0.73 m/s
Hope this helps! Best of luck <3
The velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
What is velocity?When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time.
If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.
Given:
The distance of the object = 73 m to 62 m,
The time taken by the object, t = 15 s,
Calculate the displacement of the object = 73 - 62 = 11 m
Calculate the velocity by the formula given below,
\(v = d /t\)
v = 11 / 15
v = 0.73 m / s
Therefore, the velocity of an object that moves from 73 m to 62 m in 15 s is 0.73 m / s.
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A venturi meter is measuring the flow of water in a pipe having cross-sectional area
of 0.0038 m², a throat with cross-sectional area of 0.00031 m² is connected to it.
If the pressure difference is measured to be 2.4 kPa, what is the speed of the water
in the pipe?
The speed of the water is 0.069 m/s
How do you determine the speed of the water?To determine the speed of the water in the pipe, you can use the Bernoulli equation, which relates the pressure, velocity, and height of a fluid in a system. In this case, the Bernoulli equation can be written as:
P + 1/2*rho*v^2 + rho*g*h = constant
where P is the pressure, rho is the density of the water, v is the velocity of the water in the pipe, g is the acceleration due to gravity, and h is the height of the fluid above a reference point.
Since the pressure difference between the two points in the pipe is known, you can rearrange the Bernoulli equation to solve for the velocity of the water in the pipe:
v = √((2*(P1 - P2))/rho)
where P1 is the pressure at the throat and P2 is the pressure at the cross-sectional area of the pipe.
Plugging in the values given in the question, we have:
v = √((2*(2.4 kPa - 0))/1000 kg/m^3)
= √(4.8 kPa/1000 kg/m^3)
= √(0.0048 Pa/kg/m^3)
= 0.069 m/s
Therefore, the speed of the water in the pipe is approximately 0.069 m/s.
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A car of mass 500 kg is moving at a speed of 1.2m/s. A man pushes the car increasing the speed to 2 m/s. How much work did the man do
Answer:
Work:
A = 640 J
Explanation:
Given:
m = 500 kg
V₁ = 1.2 m/s
V₂ = 2.0 m/s
____________
A - ?
The work is equal to the change in the kinetic energy of the car:
A = Δ Wk
A = m·V₂² / 2 - m·V₁² / 2
A = (m/2)·(V₂² - V₁²)
A = (500/2)·(2² - 1.2²) = 640 J
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Pls Help FAST
Brainliest
Answer:
1. S
2.×
3.×
4.×
I hope this can help u
A block of mass 2.52 kg is kept at rest
as it compresses a horizontal massless spring
(k 116 N/m) by 9.73 cm. As the block
is released, it travels 0.537 m on a rough
horizontal surface before stopping.
The acceleration of gravity is 9.8 m/s.
Calculate the coefficient of kinetic friction
between surface and block.
By Newton's second law, the net vertical force on the block is
∑ F = N - mg = 0
so that the normal force exerted by the surface has magnitude
N = mg = (2.52 kg) (9.80 m/s²) = 24.7 N
Then as the block slides over the surface, it feels a frictional force of
f = µ (24.7 N)
where µ is the coefficient of kinetic friction.
As the block is pushed by the spring to its equilibrium position, friction performs
µ (-24.7 N) (0.0973 m) = -2.40µ J
of work (which is negative because it opposes the block's motion).
In compressing the spring by 9.73 cm = 0.0973 m, we store
1/2 (116 N/m) (0.0973 m)² = 0.549 J
of energy. This energy is released and partially converted to kinetic energy, while the rest is lost to friction.
By the work-energy theorem, the total work performed on the block as the spring pushes it towards the equilibrium position is equal to the change in its kinetic energy:
W = ∆K
0.549 J - 2.40µ J = 1/2 (2.52 kg) v ² - 0
where v is the speed of the block at the equilibrium position. Solving for v, we get
v = 0.891 √(0.549 - 2.40µ) m/s
After the block is released, the only force acting on it as it slides freely is friction. It comes to a stop after 0.537 m, so that friction performs
µ (-24.7 N) (0.537 m) = -13.3µ J
of work.
Using the work-energy theorem again, we have
W = ∆K
-13.3µ J = 0 - 1/2 (2.52 kg) v ²
Substitute the velocity we found in terms of µ, and solve for µ :
-13.3µ J = -1/2 (2.52 kg) (0.891 √(0.549 - 2.40µ) m/s)²
===> µ = 0.0350
QUESTION 8 (Start on a new page.) P is a point 0,5 m fro. n charged sphere A. The electric field at P is 3 x 107 N-C-1 directed towards A. Refer to the diagram below. wes 8.1 0,5 m 8.3 Draw the electric field pattern due to charged sphere A Indicate the sign of the charge on the sphere in your diagram. 8.2 Calculate the magn itude of the charge on sphere A. Another charged sphere, E, having an excess of 105 electrons, is now place at point P. Calculate the electrost atic force experienced by sphere B.
1. The electric field pattern due to charged sphere A can be represented by lines radiating outward from the sphere.
2. The magnitude of the charge on sphere A is approximately 0.0833 Coulombs.
3. The electrostatic force experienced by sphere B when placed at point P is approximately 2.675 x 10^-4 Newtons.
1. These lines should be evenly spaced and symmetric around the sphere, indicating a radial field pattern. Since the electric field at point P is directed towards sphere A, the field lines should point inward towards the sphere. Thus, the electric field pattern would resemble a series of concentric circles with lines converging towards the center of sphere A.
2. To calculate the magnitude of the charge on sphere A, we can use the formula for the electric field strength (E) due to a point charge:
E = k * (Q / r^2)
where k is the electrostatic constant (approximately 9 x 10^9 N m^2/C^2), Q is the charge on the sphere, and r is the distance from the sphere to the point P.
From the given information, we have E = 3 x 10^7 N/C and r = 0.5 m. Plugging these values into the formula and solving for Q:
3 x 10^7 N/C = (9 x 10^9 N m^2/C^2) * (Q / (0.5 m)^2)
Simplifying the equation, we find:
Q = (3 x 10^7 N/C) * (0.5 m)^2 / (9 x 10^9 N m^2/C^2)
Q ≈ 0.0833 C (Coulombs)
Therefore, the magnitude of the charge on sphere A is approximately 0.0833 Coulombs.
3. When sphere E, which has an excess of 105 electrons, is placed at point P, it will experience an electrostatic force due to the interaction with sphere A. The electrostatic force between two charges can be calculated using Coulomb's law:
F = k * (|q1| * |q2|) / r^2
where k is the electrostatic constant, q1 and q2 are the charges on the spheres, and r is the distance between them.
Since each electron carries a charge of approximately -1.6 x 10^-19 C, the excess charge on sphere E is:
q2 = 105 electrons * (-1.6 x 10^-19 C/electron)
Plugging in the values and the given distance of 0.5 m, we have:
F = (9 x 10^9 N m^2/C^2) * (|0.0833 C| * |-1.6 x 10^-19 C|) / (0.5 m)^2
Simplifying the equation, we find:
F ≈ 2.675 x 10^-4 N (Newtons)
Therefore, the electrostatic force experienced by sphere E when placed at point P is approximately 2.675 x 10^-4 Newtons.
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11)A 1100 kg car travels on a straight highway with a speed of 30 m/s. The driver sees a red light ahead and applies her
brakes, which exert a constant braking force of 4000N. In how many seconds will the car stop?
Answer:
Time taken = 8.25 second
Explanation:
Given:
Force = 4000 N
Force = ma
4,000 = (1100)(a)
Acceleration = 3.6363 m/s²
v = u + at
0 = 30 + (3.6363)t
Time taken = 8.25 second
The time taken by the car to stop is 8.26 s.
Given data:
The mass of car is, m = 1100 kg.
The speed of car is, u = 30 m/s.
The magnitude of braking force is, F = 4000 N.
We need to first obtain the acceleration of car to get that, apply the Newton's second law as,
F = - ma (Negative sign shows that the force will resist the motion)
4000 = -(1100) a
\(a =-\dfrac{4000}{1100}\\\\a =-3.63 \;\rm m/s^{2}\)
Now, apply the first kinematic equation of motion to obtain the time taken by the car to stop as,
v = u + at
Here, v is the final speed and v = 0, since car will stop finally.
So,
\(0=30+(-3.63)t\\\\t = \dfrac{30}{3.63}\\\\t=8.26 \;\rm s\)
Thus , we can conclude that the time taken by the car to stop is 8.26 s.
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Explain the light detection technique of photovoltaic detection
Answer:
Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.
The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.
The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.
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PLEASE HELP QUICK! i don’t know this one
Designed and developed by private companies: Commercial satellite.
Used to access electronic intelligence: Reconnaissance satellite.
Used to make strategic decisions in advance: Early warning satellite.
Used to assist in strike planning: Reconnaissance satellite.
Remote sensing: Commercial satellite.
How to explain the informationCommercial Satellite are designed and developed by private companies and are primarily used for commercial purposes. They can provide a wide range of services, including telecommunications, broadcasting, internet connectivity, and navigation. Commercial satellites are often operated by companies like SpaceX, OneWeb, or Iridium.
Reconnaissance satellites are used to gather information about a specific area or target. They are equipped with advanced imaging systems, such as high-resolution cameras or synthetic aperture radar (SAR), which allow them to capture detailed images or collect other types of data for military or intelligence purposes.
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The half-life of Silver-105 is 3.57 x 106 seconds. A sample contains 5.78 x 1017 nuclei. What is the decay constant for this decay?
Answer:
The decay constant, or "lambda" (λ), is the rate at which a radioactive isotope decays. It is usually measured in units of inverse time, such as seconds. In this case, the decay constant can be calculated as follows:
16:42
λ = (ln(2)/3.57 x 106) x (5.78 x 1017) = 0.
Explanation:
There is a bell at the top of a tower that is 45 m high. The bell weighs 15 kg. The bell has energy. Calculate it.
Answer:
6621.75J
Explanation:
In this case, the bell is not in motion. So we are going to calculate its potential energy rather than its kinetic energy since kinetic energy is the energy a body possesses in motion.
The formula for the potential energy is m*g*h, meaning the mass * acceleration due to gravity * height. Here the mass, m = 15kg, the acceleration due to gravity = 9.81m/s^2, and the height, h = 45m
Substituting our values, the answer becomes 15 * 9.81 * 45 = 6621.75J. Hope you understood my explanation?
A positively charged solid nonconducting cylinder of length ℓ = 10 m and radius R = 50 mm has uniform volume charge density + 7.0 × 10−9 C/m3. What is the charge inside the cylinder?
The charge inside the cylinder is 15.81 N/C.
length ℓ = 10 m
radius R = 50 mm = 50 x 10^-3 m
volume charge density ρ = + 7.0 × 10^−9 C/m3.
the charge inside the cylinder Q = ρV
Where V = Volume of the cylinder
= πR^2 l
= 3.1415 x (50x10^-3)^2(10)
= 78.53 x10 -3 m^3
Therefore Q = (+ 7.0 × 10^−9 C/m^3)( 78.53 x10^-3 m^3)
= 5.4971 x10^-10 C
The electric field magnitude at r = 40 mm, where r is the radial distance from the long central axis of the cylinder
E = ρr/ε _{o}
Where ε _{o} = permitivity of free space = 8.85 x10^-12 C^2/Nm^2
r = 40 mm = 40 x10^-3 m
Substitute values you get ,
E = (7 x10^-9 )(40x10^-3 ) /[2 x8.85 x10^-12 ]
= 15.81 N/C
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35 POINTS
A student is measuring and graphing the motion of a toy car. The car moves to the left with constant velocity along the number line shown below.
Answer:
what are we supposed to find? can you make it clear?
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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2. Why is it safer for a car to deform when it crashes into another car?
Answer:
Less impact???
Explanation:
Answer:
Crumple zones work by managing crash energy and increasing the time over which the deceleration of the occupants of the vehicle occurs. Also preventing intrusion into or deformation of the passenger/passenger seat.
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Explanation:
The radius of the circular path of an ion in a mass spectrometer is given by r=1/B √2Vaccelm/q. Use this equation to explain how a mass spectrometer is able to separate ions of different masses.
The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path
What is the mass spectrometer?From the formula in the question;
B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.
The accelerating voltage used to move the ions is called Vaccelm.
The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.
The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.
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For a simple harmonic oscillator, which of the following pairs of vector quantities can’t both point in the same direction? (The position vector is the displacement from equilibrium.) (a) position and velocity (b) velocity and acceleration (c) position and acceleration
The restoring force and acceleration are always in the same direction for a simple harmonic oscillator.
A simple harmonic oscillator is what?
A driven or dampened oscillator is known as a simple harmonic oscillator. It typically consists of a mass "m" that is pulled in the direction of the point x = 0 by a single force "F" that solely depends on the body's position "x" and a constant "k."
Consider a straightforward pendulum that displays SHM at low displacements. The location vector points upward while the acceleration and velocity vectors point downward during the downswing. The acceleration vector points downward while the location and velocity vectors point upward during an upswing. Therefore, unless they are both 0 at equilibrium, the acceleration always points in the opposite direction to the position vector. The acceleration and force of restoration are always in same direction .
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How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 35.6 m and a propagation speed of 4.68 m/s? (the answer may not be a whole number)
Answer:
It will bob 7.887640449 times a minute
Explanation:
I hope this is correct!!
which produces wave particles that move and displace one another
a cube totally submerged in water . calculate the buoyant force acting on this cube . given : g=10N/kg , volume of the cube =24m3 , density of water = 1000 kg/m3?
Answer:
\(F_B=235200\ N\)
Explanation:
Given that,
The volume of the cube, V = 24 m³
The density of water, d = 1000 kg/m³
We need to find the buoyant force acting on this cube when it totally submerged in water. The formula for the buoyant force is given by :
\(F_B=dgV\)
Substitute all the values,
\(F_B=1000\times 9.8\times 24\\\\F_B=235200\ N\)
So, the required force is equal to 235200 N.
Which of the following best characterizes the
design of the weigh-in study described in the
video?
A sentence which best characterizes the design of the weigh-in study described in the video is: e) None of the above.
What is a scientific observation?A scientific observation can be defined as an active acquisition of knowledge (information) through one of the sense organs, while using scientific tools and instruments to take measurement of a variable of interest while carrying out an experiment, research or study.
The types of scientific observation.In Science, there are two main types of scientific observation and these include the following:
Qualitative observationQuantitative observationWhat is an experiment?An experiment can be defined as a scientific investigation which typically involves the process of manipulating an independent variable (the cause), so as to determine or measure the dependent variable (the effect).
The sentences which best characterizes the design of the weigh-in study described in the video are:
Only experimental groups receive the IV, daily weigh-ins.The control group receives the IV, daily weigh-ins.Read more on scientific observation here: brainly.com/question/24137634
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Complete Question:
Which of the following best characterizes the design of the weigh-in study described in the video?
a) Only the control group receives the IV, daily weigh-ins.
b) Both the control and experimental groups receive the IV, daily weigh-ins.
c) At the end of the experiment, the DV will only be collected for the experimental group.
d) Both a and c
e) None of the above
Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.
Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
How do we explain?In a mixed economy, economic decisions are made by both the government and consumers.
The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.
In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.
The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.
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Sun, Earth, Moon Models Lab Quiz
What was the purpose of the experiment?
HELP PLS
The aim of this study is to develop a Sun-Earth-Moon model that will serve to describe "the real and apparent movements of the Sun-Earth-Moon system and the results of these movements".
A fundamental topic in astronomy, that is difficult To properly understand the why requires three-dimensional thinking and imagination. In this context;
• Students have difficulty understanding basic concepts of astronomy; H.
such as creating seasons, phases of the moon, lunar and solar eclipses that require three-dimensional thinking must be properly understood. So to teach difficult abstract concepts,
• To solve the problem of the lack of materials and tools related to matter.
• To enhance learning retention by engaging students' multiple senses,
• Capturing concepts visually and verbally increases skills. Remember the image of this concept when you meet its verbal equivalent, or reversed. Therefore, to help students remember what they are learning,
• Have students see tools, objects, and events that they cannot see perceive with their five senses,
• Show students tools, objects, and events that they cannot reach
or bring to class,
• Attract attention and arouse interest in a topic, needed a model to grow.
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HOW CAN I SOLVE THIS QUESTION? PLEASE HELP The movement of a locomotive piston in the cylinder is limited to 0.76 m. Assume that the piston makes a simple harmonic movement that makes 180 revolutions per minute, and find its maximum speed.
Answer:
7.2 m/s
Explanation:
The maximum speed is the amplitude times the frequency.
v = Aω
v = (0.76 m / 2) (180 rev × 2π rad/rev / 60 s)
v = 7.2 m/s
Is a compound considered a pure substance?
Answer:
It depends on which compound you use carbon dioxide can be while helium will not but if you where to sum it up it would be use because simply most compounds are considered pure substance.
Explanation:
Find the vector whose magnitude is 5 and which is in the direction of the vector 4i -3j +k
The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
To solve this problemThe given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:
The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:
Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26
Normalize the vector by dividing each component by the magnitude:
Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k
Multiply the normalized vector by the desired magnitude:
To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:
Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)
Simplifying the expression gives:
Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k
So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.
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The mixing entropy formula derived in the previous problem actually applies to any ideal gas, and to some dense gases, liquids, and solids as well. For the denser systems, we have to assume that the two types of molecules are the same size and that molecules of different types interact with each other in the same way as molecules of the same type (same forces, etc.). Such a system is called an ideal mixture. Explain why, for an ideal mixture.
For an ideal mixture of two or more substances, the mixing entropy can be derived based on the same principles as for ideal gases. The reason is that ideal mixtures also have particles that are in constant random motion, and the entropy of mixing is still related to the number of possible ways the particles can be arranged.
Ideal mixture explained.
In an ideal mixture, the assumption is that the molecules of different substances are the same size and shape, and have the same intermolecular forces with each other as they do with their own kind. This means that there are no attractive or repulsive forces between particles of different types, which simplifies the calculation of the entropy of mixing.
The mixing entropy of an ideal mixture is determined by the number of possible ways the molecules of the two substances can be distributed among the available volume. Just as in the case of ideal gases, this leads to an increase in entropy when the two substances are mixed, as there are more ways to distribute the molecules than when they are separated.
Therefore, the concept of an ideal mixture allows us to apply the same principles of thermodynamics to denser systems as we do for ideal gases, which makes it a useful tool for studying a wide range of physical and chemical processes involving mixtures.
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The mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.
What is Ideal Mixing Entropy Formula?An ideal mixture is a hypothetical mixture of gases, liquids or solids where the components are assumed to behave as an ideal gas, and where the two types of molecules are the same size and interact with each other in the same way as molecules of the same type (same forces, etc.). In an ideal mixture, the mixing entropy formula applies due to the following reasons:
No intermolecular forces between different species: In an ideal mixture, the molecules of the different components do not attract or repel each other. This means that the interactions between the different species are negligible and the enthalpy of mixing is zero.No volume changes upon mixing: In an ideal mixture, the components have the same size and shape, and the volume of the mixture is equal to the sum of the volumes of the individual components. Therefore, there are no volume changes upon mixing, and the entropy of mixing is solely dependent on the number of ways of arranging the molecules.Random mixing: The assumption of ideal mixing also implies that the mixing is completely random, with no preferential interactions between the different species. This means that the entropy of mixing is solely dependent on the number of ways the molecules can be arranged, and this is given by the mixing entropy formula.Therefore, the mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.
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A magnifying glass uses a convex lens of focal length 6.25 cm. When it is held 5.20 cm in front of an object, what is the image distance?
(Mind your minus signs)
(Unit=cm)
Answer:
The answer is -30.95.
Explanation:
Use the lens equation: 1/focal length = 1/object distance + 1/image distance. The answer comes out to -30.95. This is correct on Acellus.
When it is held 5.20 cm in front of an object, the image distance will be "-30.95 cm". To understand the calcultaion, check below.
Convex lensAccording to the question,
Object distance, u = -5.20 cm
Focal length, f = 6.25 cm
By using the Lens formula, we get
→ \(\frac{1}{f} = \frac{1}{v} - \frac{1}{u}\)
or,
→ \(\frac{1}{v} = \frac{1}{f} + \frac{1}{u}\)
By substituting the values, we get
\(= \frac{1}{6.25} - \frac{1}{5.20}\)
\(\frac{1}{v} = -\frac{21}{650}\)
By applying cross-multiplication,
v = -30.95 cm
Thus the above answer is correct.
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