Therefore, the actual distance between the image and the lens is: 1417.5 cm - 90 cm = 1327.5 cm . Therefore, the object and the image are 405 cm and 1327.5 cm, respectively, apart from the lens.
A converging lens is a type of lens that refracts light inwards or converges it to a single point on the other side of the lens. This type of lens is also known as a convex lens. The focal length of a lens is defined as the distance between the lens and the image plane when the object is at infinity. The focal length of a converging lens is positive since the lens bends light inwards.
In the given problem, the focal length of the converging lens is 90 cm. Let the distance between the object and the lens be u, and the distance between the image and the lens be v. The magnification of the lens is given as: Magnification = size of image/size of object .
Given that the image is 3.50 times larger than the object. Therefore, Magnification = size of image/size of object = 3.50Let the size of the object be y. Then, the size of the image is 3.50y. Therefore, the magnification is given as: Magnification = size of image/size of object = 3.50y/y = 3.50Since the image is real, the focal length is positive. Therefore, we can use the lens formula as follows:1/f = 1/v - 1/u
Where f is the focal length of the lens. Substituting the values, we get:1/90 = 1/v - 1/u1/v = 1/90 + 1/uWe also know that: Magnification = -v/u
Therefore, substituting the value of magnification in terms of v and u, we get:-v/u = 3.50v = -3.50uSubstituting this value of v in the lens formula, we get:1/90 = 1/(-3.50u) - 1/u1/90 = -4.50/u- u/90 = 4.50u = -405 cm
Therefore, the distance between the object and the lens is u = -405 cm. However, the negative sign indicates that the object is located on the opposite side of the lens as compared to the side where the light is incident. Therefore, the actual distance between the object and the lens is 405 cm.
The distance between the image and the lens is given by:v = -3.50u = -3.50 × 405 cm = -1417.5 cm . Since the image is real, it is formed on the same side of the lens as the object. Therefore, the actual distance between the image and the lens is: 1417.5 cm - 90 cm = 1327.5 cm . Therefore, the object and the image are 405 cm and 1327.5 cm, respectively, apart from the lens.
To know more about Lens visit :
https://brainly.com/question/32317994
#SPJ11
easy points!! only 1 question!
please: only answer if you really know
Answer:
b i think
Explanation:
Answer
The answer would be B because the truck has more mass than the car therefore it would take longer for it to stop and that is momentum.
Explanation:
The roller coaster track is 25 meters at its heights to point. If the 200kg cart rolls down the hill from rest, how much kinetic energy will the cart have at the bottom of the hill?
Answer:
49000J
Explanation:
Given parameters:
Height = 25m
Mass = 200kg
Unknown:
Kinetic energy of the cart at the bottom of the hill = ?
Solution:
The kinetic energy of the roller coaster at the bottom of the hill will be at its maximum and the potential energy is 0.
All the potential energy would have been converted to kinetic energy in essence.
So find the potential energy first;
Potential energy = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Potential energy = 200 x 9.8 x 25 = 49000J
So the kinetic energy at the bottom of the hill is 49000J
Two parallel circular rings of radius R have their centres in the X axis separated by a distance L. If each ring carries a uniformly distributed charge Q,find the electric field at points along the X axis
Answer:
E" = Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})
Explanation:
The electric field due to a charged ring of radius R at a distance x from the center of the ring when the axis of the ring is located on the x - axis is
E = Qx/4πε₀[√(x² + R²)]³
Since the rings are separated by a distance L, the electric field at point x due to the second ring is E' = -Q(L - x)/4πε₀[√((L - x)² + R²)]³. It is negative since it points in the negative x - direction.
So, the resultant electric field at x is E" = E + E' = Qx/4πε₀[√(x² + R²)]³ + {-Q(L - x)/4πε₀[√((L - x)² + R²)]³}
E" = Qx/4πε₀√[(x² + R²)]³ - Q(L - x)/4πε₀√[((L - x)² + R²)]³
E" = Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[((L - x)² + R²)]³})
E" = Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L² - 2Lx + x² + R²)]³})
E" = Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L - 2x)L + (x² + R²)]³})
E" = Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})
So, the electric field at points along the x axis is
E" = Q/4πε₀√[(x² + R²)]³(x - {(L - x)/√[(L - 2x)L/(x² + R²) + 1]³})
Describe how energy is transferred in one of the sequences.
Answer:
Energy transfer describes the changes in energy (a state function) that occur between organisms within an ecosystem. ... A food chain is a sequence of organisms that are connected by their feeding and productivity relationships; a food web is the interconnected set of many food chains. Energy transfer is a one-way process.
Mark me as the brainlist
Una placa cuadrada de cobre que mide 4 cm por lado a 20°C se calienta hasta 120°C. Cuál es el incremento del área de la placa de cobre?
When the supplied values are input, the area of the plate increases by an average of 0.00608 cm2.
Heat is applied to a square of copper that is 20°C on each side for 120°C. How much does the temperature change cause the plate's surface area to increase. For every degree of heat, copper expands around 1.7 x 10⁻⁵ times more.
A = A0 × T, where A is the new area, A0 is the plate's original area, A is the thermal expansion coefficient of copper, and T is the temperature change in degrees Celsius, calculates the area growth.
When the supplied values are input, the area of the plate increases by an average of 0.00608 cm².
Learn more about area:
https://brainly.com/question/27683633
#SPJ4
philip glass's einstein on the beach is an example of
Philip Glass's "Einstein on the Beach" is an example of a landmark opera that defies traditional operatic conventions, characterized by its non-narrative structure, repetitive musical motifs, and abstract themes.
"Einstein on the Beach" is a groundbreaking opera composed by Philip Glass in collaboration with Robert Wilson, premiered in 1976. It is often regarded as a seminal work of the minimalist movement in music. The opera is known for its unique structure, as it does not follow a traditional narrative plot. Instead, it presents a series of interconnected scenes and images that explore abstract themes such as time, space, and perception.
One of the defining features of "Einstein on the Beach" is its repetitive musical motifs. Glass's compositional style is characterized by the use of repetitive melodic and rhythmic patterns, creating a hypnotic and trance-like effect. The opera also incorporates spoken text, choreography, and visual elements, all working together to create a multisensory experience for the audience.
By challenging traditional operatic conventions, "Einstein on the Beach" pushes the boundaries of what opera can be. Its non-narrative structure and abstract themes offer a departure from the conventional storytelling approach, encouraging the audience to engage with the work on a more intellectual and sensory level. This innovative and experimental approach has established "Einstein on the Beach" as a significant and influential work in contemporary opera.
To learn more about Philip Glass's refer:
https://brainly.com/question/28480011
#SPJ11
dont stress it brotha its .A
Answer:
A? what do you mean? ahhahhhhahhahahahahahahahhahahahahaaa
it is desired that a solenoid 25 cm long and with 350 turns produce a magnetic field within it equal to the earth’s magnetic field 15.0 * 10-5 t2. what current is required?
To produce a magnetic field within a solenoid equal to the Earth's magnetic field, a current of approximately 7.66 amperes is required.
A solenoid is a long coil of wire that generates a magnetic field when an electric current passes through it. The magnetic field produced by a solenoid can be calculated using the formula:
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space(4π * \(10^{-7\) T·m/A), n is the number of turns per unit length, and I is the current.
In this case, we are given that the solenoid is 25 cm long (0.25 m) and has 350 turns. We want the magnetic field within the solenoid to be equal to the Earth's magnetic field, which is \(15.0 * 10^{-5\) T.
Rearranging the formula, we can solve for the current:
I = B / (μ₀ * n)
Substituting the given values:
I = (\(15.0 * 10^{-5\) T) / (4π \(* 10^{-7\) T·m/A * 350 turns/m)
Calculating this expression gives us the current required:
I ≈ 7.66 amperes
Therefore, a current of approximately 7.66 amperes is needed to produce a magnetic field within the solenoid equal to the Earth's magnetic field.
Learn more about Solenoid
brainly.com/question/21842920
#SPJ11
what is the speed of sound in the air inside of a furnace where the temperature is 523 degrees celsius
Answer: the speed of sound in the air inside a furnace at 523 degrees Celsius is approximately 519.2 meters per second.
Explanation:
The speed of sound in a gas depends on the temperature and the density of the gas. At higher temperatures, the speed of sound increases.
The formula for calculating the speed of sound in a gas is:
v = sqrt(γRT)
where v is the speed of sound, γ is the ratio of specific heats for the gas, R is the gas constant, and T is the temperature in Kelvin.
For air, γ is approximately 1.4 and R is approximately 287 J/(kg*K).
To convert 523 degrees Celsius to Kelvin, we add 273.15:
T = 523 + 273.15 = 796.15 K
Substituting the values into the formula, we get:
v = sqrt(1.4 * 287 * 796.15) = 519.2 m/s
Based on their chemical formulas, which of these common substances is an
element?
A. Gold (Au)
B. Sugar (C6H1206)
C. Water (H20)
O D. Salt (NaCl)
Answer: C water
Explanation: The explanati is not hard cause the main elements of earth is fire ice water earth
Answer:
A. Gold (Au)
Explanation:
A certain FM radio station broadcasts electromagnetic waves at a frequency of 60,500,000 Hz. These waves travel at a velocity of 300,000,000 m/s. What is the wavelength of these radio waves?
A. 4.96 m
B.0.2 m
C. 360,500,000 m
Answer:
Wavelength of radio wave = 4.96 meter (Approx.)
Explanation:
Given:
Frequency of radio wave = 60,500,000 Hz
Velocity of radio waves = 300,000,000 m/s
Find:
Wavelength of radio wave
Computation:
Wavelength = Velocity / frequency
Wavelength of radio wave = Velocity of radio waves / Frequency of radio wave
Wavelength of radio wave = 300,000,000 / 60,500,000
Wavelength of radio wave = 4.9586
Wavelength of radio wave = 4.96 meter (Approx.)
You are holding the end of a rope and the other end of the rope is tied to a tree. You shake one end of the rope and create a standing wave. The nodes are 27cm apart and the amplitude of the standing wave is 12 cm. What is the amplitude of the wave you make? What is the wavelength of the wave you make? Show equations used to solve.
Given:
Distance between nodes (d) = 27 cm
Amplitude of the standing wave (A) = 12 cm
Amplitude of the original wave (A') = 1/2 * A
Amplitude of the original wave:
A' = 1/2 * 12 cm
A' = 6 cm
Wavelength of the standing wave (λ) = 2 * d
λ = 2 * 27 cm
λ = 54 cm
Therefore, the amplitude of the wave you make is 6 cm and the wavelength is 54 cm.
To summarize:
Amplitude of the wave you make: 6 cm
Wavelength of the wave you make: 54 cmThese calculations are based on the assumption that the rope is fixed at one end (tied to a tree), and you are creating a standing wave by shaking the other end.
If a black hole suddenly doubled in mass, the event horizon would become ___________ its original size. Choose one: A. one-quarter B. twice C. one-half D. 4 times E. 3 times
The correct option is B. twice.
If a black hole suddenly doubled in mass, the event horizon would become twice its original size.
What is a blackhole?
In space, a black hole is a location where gravity pulls so strongly that even light cannot escape. Because stuff can fit into such a small space thanks to gravity, this is a strength of our universe. When a star dies, things like this may occur.
No light can escape, so people cannot perceive black holes. They are invisible. The search for black holes can be aided by space telescopes equipped with exceptional instruments. The special equipment can detect how stars that are very close to black holes behave differently from other stars.
What is event horizon?
The border around a black hole from which nothing (not even light) can escape is known as the "event horizon." In other words, an object inside the event horizon has an escape velocity that is faster than light. The name is derived from the fact that nothing occurring inside it can be seen; it is an invisible horizon. As a result, the event horizon successfully conceals the singularity at the center of the black hole, which is a relief for astrophysicists who are troubled by how the laws of physics break down at such a location.
To learn more about Event Horizon visit on the link below :
https://brainly.com/question/12497628
#SPJ4
A pring of force contant 120 N/m i acted up by a contant force of 240n. Calculate the elatic potential tored in the pring
A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.
The elastic potential energy stored in the spring is formulated as follows
PE = ½kx²
Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.
In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:
F = kx
Where F is the force acting on the spring, x is the displacement, and k is the force constant,
So that:
F = kx
240 N = 120 N/m . x
x = 240 N/120 N/m
x = 2 m
Once x is known, then we can calculate the potential energy of the spring:
PE = ½kx²
PE = ½ (120) (2²)
PE = 60 x 40
PE = 240 Nm
So, the elastic potential energy stored in the spring is 240 Nm.
Learn more about the elastic potential energy of the spring at https://brainly.com/question/29795053
#SPJ4
a large room is filled with mousetraps, each trap set with two plastic balls on the arm of the trap. a single plastic ball is thrown into the room, setting off one trap. this causes three plastic balls to be in the air, which then land and set off three other traps, and so on. how could this be evaluated as a model for fission?
The scenario provided is an excellent model for fission, as it demonstrates the chain reaction that occurs when a neutron collides with a uranium nucleus and splits it into two smaller nuclei, releasing a large amount of energy in the process.
The scenario provided is an excellent model for nuclear fission, in which one atom is divided into two smaller atoms, releasing a large amount of energy. A large room full of mousetraps, each set with two plastic balls, provides an example of the release of energy that occurs in nuclear fission.The single plastic ball thrown into the room represents a neutron, and the mousetrap represents a uranium nucleus. The neutron collides with the uranium nucleus and splits it into two smaller nuclei, releasing a large amount of energy in the process.When the mousetrap is set off by the thrown plastic ball, it releases the two plastic balls on the trap arm. These balls represent the two smaller nuclei created by the fission process. As these balls land on other mousetraps, they set off three other traps each, representing the chain reaction that occurs in nuclear fission.The release of energy from each of these mousetraps represents the energy released from each fission event in nuclear power plants. The energy released by one fission event is used to initiate the next fission event, resulting in a chain reaction that releases a tremendous amount of energy.Thus, the scenario provided is an excellent model for fission, as it demonstrates the chain reaction that occurs when a neutron collides with a uranium nucleus and splits it into two smaller nuclei, releasing a large amount of energy in the process.For more such questions on nuclear fission, click on:
https://brainly.com/question/27823859
#SPJ8
Describe possible factors influencing incoming solar radiation,
composition of incoming radiation, and what ultimately happens
(percent breakdown) to the radiation that does enter the
atmosphere.
Factors influencing incoming solar radiation include solar angle, atmospheric conditions, and surface characteristics.
Several factors influence the amount of solar radiation reaching Earth's surface. The solar angle, determined by the Earth's tilt and position in its orbit, affects the intensity of radiation. Atmospheric conditions such as cloud cover, aerosols, and pollution can scatter or absorb radiation. Surface characteristics, such as albedo (reflectivity) and vegetation, also influence the amount of incoming radiation.
The composition of incoming solar radiation consists primarily of visible light, ultraviolet (UV) radiation, and infrared (IR) radiation. Visible light is the range of wavelengths perceived by human eyes. UV radiation has shorter wavelengths and can be harmful to living organisms. IR radiation has longer wavelengths and carries heat energy.
Once solar radiation enters the atmosphere, several processes occur. Approximately 30% of incoming radiation is reflected back into space by clouds, atmospheric particles, and the Earth's surface. About 20% is absorbed by the atmosphere, including gases like ozone and water vapor. The remaining 50% reaches the Earth's surface, where it is absorbed by land, water, and vegetation, contributing to various physical and biological processes such as heating the Earth's surface, driving weather patterns, and supporting photosynthesis.
To know more about infrared (IR) radiation visit:
https://brainly.com/question/30560971
#SPJ11
Assume that a machine puts out 8000 joules of work when the user puts in 10,000 joules of work. What is the efficiency of the machine?
Answer:
80 Percent
Explanation:
E=energy output/energy input×100
E=8000/10000×100
E=0.8×100
E=80 percent.
Mark brianliest if my answer suit your question
If the machine put, in 8000 J, and the user puts 10,000 J of work then the efficiency of the machine will be equal to 80%.
What is Work?Work is a physics term used to describe the transfer of energy that takes place when an object changes above a distance because of an external force, at least some of which is given in the vector of the dislocation. The element of the force acting all along the path multiplied by the length of the path can be used to calculate work if the force is constant.
Mathematically, this idea is expressed as W = fd, where W is the effort and f is the force multiplied by d, the distance. Work is completed whenever the force is applied at an angle with about the displacement.
As per the data provided in the question,
Total input energy = 10,000 J
Total output energy = 8,000 J
Then, the efficiency (η) of the machine will be,
η = (output energy/input energy) × 100
η = 8000/10000 × 100
η = 80%.
To know more about Work:
https://brainly.com/question/13662169
#SPJ2
Answer in the proper number of significant numbers
23.4 x 14
Answer:
327.6 is the answer but there is 2 sig figs in 14 so change it to 330
so 330 is the final answer
hope this helps
have a good day :)
Explanation:
The multiplication product of 23.4 × 14 is 327.6. However, there is only two significant figures in 14. So we have to take the answer in 2 significant figure. Hence, the product can be written as 3.3 × 10².
What are significant figures ?Significant figures are number of digits which can be counted as certain values associated with some uncertainties as well. There are certain rules regrading the count of significant figures in a number.
The zeros after a non-decimal number cannot be taken as significant. For eg, in 4500, there are only two significant figures. The common rule for all the arithmetic operation is that, the significant figures in the product have to be equal to the number of significant figure in the number in the operation with least significant figures.
Here, the one with least significant figures is 14. It have two significant figures. Now, product of the two numbers is :
23.4 × 14 = 327.6
But the rounded product for correct significant figure is 3.3 × 10².
Find more on significant figures:
https://brainly.com/question/14359464
#SPJ2
12. Describe Binding energy and how it plays a role in nuclear fusion up to 56Fe (the synthesis of iron
nuclei). Include a description of the relationship between the strong nuclear force, the
electromagnetic force, and the number of nucleons involved in the fusion in your answer.
Help me on thiss one once again ughh ! asap ! hurry
Learning Goal: To understand that centripetal acceleration is the acceleration that causes motion in a circle. Acceleration is the time derivative of velocity. Because velocity is a vector, it can change in two ways: the length (magnitude) can change and/or the direction can change. The latter type of change has a special name, the centripetal acceleration. In this problem we consider a mass moving in a circle of radius R with angular velocity ω, r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^. The main point of the problem is to compute the acceleration using geometric arguments. (Figure 1) Part A What is the velocity of the mass at a time t? You can work this out geometrically with the help of the hints, or by differentiating the expression for r⃗ (t) given in the introduction. (Figure 2) Express this velocity in terms of R, ω, t, and the unit vectors i^ and j^. V⃗ (t) = Part Assume that the mass has been moving along its circular path for some time. You start timing its motion with a stopwatch when it crosses the positive x axis, an instant that corresponds to t=0. [Notice that when t=0, r⃗ (t=0)=Ri^. ] For the remainder of this problem, assume that the time t is measured from the moment you start timing the motion. Then the time − t refers to the moment a time t before you start your stopwatch. Part B What is the velocity of the mass at a time − t? Express this velocity in terms of R, ω, t, and the unit vectors i^ and j^. V⃗ (−t) = SubmitMy AnswersGive Up Part C What is the average acceleration of the mass during the time interval from − t to t? (Figure 3) Express this acceleration in terms of R, ω, t, and the unit vectors i^ and j^.
Part A :The position of the particle in vector form is given by\(r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^]\)where R is the radius of the circle and ω is the angular velocity.The velocity of the particle is given by taking the derivative of the position vector with respect to time.
Taking derivative with respect to time on both side we get \(v⃗ (t)=d/dt R[cos(ωt)i^+sin(ωt)j^]= R[-in(ωt)ωi^+cos(ωt)ωj^]=ωR[-sin(ωt)i^+cos(ωt)j^]v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\)Thus the velocity of the mass at a time t is given by \(v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\).
Part B :
We have to find the velocity at time -t. The velocity of the particle is given by taking the derivative of the position vector with respect to time. Thus the velocity of the mass at a time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)
\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)Part C :
The average acceleration of the particle can be computed using the formulaa = \(Δv/Δt\)The velocity at time t is given by\(v⃗ (t) = ωR[-sin(ωt)i^+cos(ωt)j^]\)
The velocity at time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)
\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)The change in velocity over the interval from -t to t is therefore
\(Δv = v(t) - v(-t) = 2ωR[sin(ωt)i^ + cos(ωt)j^]\)
The time interval over which this change occurs is\(Δt = 2t\)Thus the average acceleration of the particle is given by a = \(Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)
\(a = Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)
The acceleration can be expressed in terms of R, ω, t, and the unit vectors \(i^ and j^\) as \(a = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\).
To know more about angular velocity visit :
https://brainly.com/question/30237820
#SPJ11
Ocean breezes are due to which method of heat transfer?
A. conduction
B. convection
C. greenhouse gases
D. radiation
E. geothermal energy
Ocean breezes are primarily due to convection, which is the transfer of heat through the movement of fluids or gases. The correct option is B.
What is convection?Convection is a method of heat transfer that occurs in fluids (liquids and gases) and involves the movement of material carrying thermal energy. In convection, heat is transferred by the movement of hot fluid from one place to another, which then causes the transfer of heat from the hot fluid to the cooler fluid or surface it comes into contact with.
Convection can occur in two ways:
Natural convection: It occurs due to the density differences caused by temperature variations within a fluid. When a fluid is heated, its density decreases, making it lighter and causing it to rise. As it rises, it cools, becomes denser and falls back down, creating a cycle that is known as a convection current.
Forced convection: In this type of convection, a fluid is forced to flow over a surface or through a channel, by an external agent like a fan or pump. The forced flow enhances the rate of heat transfer from the surface or through the channel, as compared to natural convection, where the fluid flow is driven only by buoyancy forces.
Convection is a very important process for heat transfer in many natural and industrial applications, including heating and cooling systems, meteorology, oceanography, and more.
Here in the Question,
Ocean breezes are primarily due to convection, which is the transfer of heat through the movement of fluids or gases. As the sun heats up the surface of the ocean, the air above it also heats up and rises. This creates a low pressure area that draws in cooler air from over the land, resulting in a breeze that blows from the ocean towards the shore. This is why sea breezes are generally felt during the day, when the land is warmer than the sea, and why they tend to die down at night, when the opposite occurs.
Therefore, The correct answer is B i.e convection.
To learn about the difference between conduction and convection click:
https://brainly.com/question/13104912
#SPJ7
If a current of 16A flows through a wire with a resistance of 0.6 Ohms, calculate the voltage.
If a current of 16A flows through a wire with a resistance of 0.6 Ohms, the voltage is: 9.6V.
How to find the voltage?Using this formula to determine the voltage
V = I × R
Where:
V = voltage = ?
I = current = 16A
R = resistance = 0.6 Ohms
Let plug in the formula
V = 16A × 0.6 Ohms
V = 9.6V
Therefore the voltage is 9.6V
Learn more about voltage here:https://brainly.com/question/24858512
#SPJ1
Two equal masses placed 2m apart have a gravitational attraction of 6. 7*10-9 N compute the value of the mass ( assume,g=6. 7*10-11
For the given question value of mass=20kg. The formula for gravitational attraction between two masses is:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the masses.
Given:
F = 6.7 * 10^-9 N
r = 2 m
G = 6.7 * 10^-11 N m^2 / kg^2 (gravitational constant)
Since the two masses are equal, we can write m1 = m2 = m.
Substituting the given values into the formula and solving for m, we get:
6.7 * 10^-9 N = 6.7 * 10^-11 N m^2 / kg^2 * (m^2 / (2 m)^2) * m^2
Simplifying:
6.7 * 10^-9 N = 6.7 * 10^-11 N * m^2 / 4
Multiplying both sides by 4:
m^2 = (6.7 * 10^-9 N * 4) / 6.7 * 10^-11 N
Simplifying:
m^2 = 4 * 10^2 kg
Taking the square root of both sides:
m = 20 kg
thus, each mass has a value of 20 kg.
To learn about gravitational attraction visit:
https://brainly.com/question/19822389?referrer=searchResults
#SPJ4
PLEASE FULL EXERCISE I WILL UPVOTE!!!
Consider the following problem. Min Z= 2x₂ + 3x₂ + 2x₂ x₁ +4x₂+2x, 28 3x₂ + 2x₂ 26 and, x₂x₂x₂ 20 Let , and x, be the surplus variables for the first and second constraints, respec
The optimal solution for the given problem is (x₁, x₂, x₃) = (11/5, 13/15, 26/15) and the minimum value of Z is 249/10.
The given problem is:
Min Z = 2x₂ + 3x₂ + 2x₂ x₁ + 4x₂ + 2x₃
subject to the constraints: 3x₁ + 2x₂ + 26x₃ ≥ 283x₁ + 2x₂ + 20x₃ ≥ 20
Now, let's find the surplus variables for the first and second constraints, respectively:
x₁ = (28 - 2x₂ - 26x₃)/3
x₂ = (28 - 3x₁ - 26x₃)/2
x₃ = (20 - 3x₁ - 2x₂)/20
Putting the values of x₁ and x₂ in the objective function, we get:
Z = 2[(28 - 3x₁ - 26x₃)/2] + 3x₁ + 2x₂ + 2x₃
(As given, x₁ = (28 - 2x₂ - 26x₃)/3)
x₃ = (20 - 3x₁ - 2x₂)/20
= 2[(28 - 3((28 - 2x₂ - 26x₃)/3) - 26x₃)/2] + 3((28 - 2x₂ - 26x₃)/3) + 2x₂ + 2((20 - 3((28 - 2x₂ - 26x₃)/3) - 2x₂)/20)
After solving the above equation, we get:
Z = (62x₁)/3 + (59x₂)/10 + 7/5
Therefore, the objective function Z can be represented as:
Z = (62/3)[(28 - 2x₂ - 26x₃)/3] + (59/10)x₂ + (7/5)[(20 - 3x₁ - 2x₂)/20]
Z = (62/9)x₁ + (62/3)x₂ + (62/15)x₃ + (59/10)x₂ + (7/100)x₁ + (7/50)x₂
Z = (62/9)x₁ + (417/50)x₂ + (62/15)x₃ + (7/100)x₁
Now, we can solve this problem using the simplex method.
The first iteration of the simplex method is shown below:
x₁ x₂ x₃ s₁ s₂ RHS Ratio
62/9 417/50 62/15 7/100 0 0 0
93/5 28/3 0 1 3/2 -13/2 0
0 1/2 13/3 26/3 0 -1/2 1
0 11/5 13/15 26/15 1/15
The optimal solution is (x₁, x₂, x₃) = (11/5, 13/15, 26/15) and the minimum value of Z is 747/30 or 249/10.
Thus, the complete solution is:
x₁ = 11/5,
x₂ = 13/15,
x₃ = 26/15,
s₁ = 0,
s₂ = 0,
Z = 249/10
The optimal solution for the given problem is (x₁, x₂, x₃) = (11/5, 13/15, 26/15) and the minimum value of Z is 249/10.
To know more about objective function, visit:
https://brainly.com/question/33272856
#SPJ11
How is electric charge different than gravity? A. Electric charge has a smaller constant B. Gravitational force can only be positive C. Charges can be either positive or negative for electric charge D. The calculation of the radius is different
B and C are both true statements.
When negative charges concentrate at one end of an object that is made of a conducting material, the object is
ANSWER:
polarized
STEP-BY-STEP EXPLANATION:
When negative charges are concentrated at one end of an object that is made of a conductive material, this happens when the object is polarized.
Assume it is raining on the west side but not on the east side of the mountain. Given the prevailing wind, and neglecting any solar input while traveling over the mountain, what would you expect for the temperature difference at the ground between the West and East sides
There will likely be a temperature difference between the West and East sides of the mountain, with the West side being cooler than the East side due to adiabatic cooling.
When air is forced to rise over a mountain, it expands and cools due to the decrease in atmospheric pressure at higher altitudes. This process is known as adiabatic cooling. As the air cools, any moisture in the air may condense and form clouds, leading to precipitation on the windward (West) side of the mountain.
As the now-dry air descends on the leeward (East) side of the mountain, it compresses and warms due to the increase in atmospheric pressure at lower altitudes, a process known as adiabatic warming. This warming and drying of the air leads to drier and warmer conditions on the East side of the mountain compared to the West side.
Therefore, assuming a prevailing wind blowing from West to East, we would expect a temperature difference between the two sides of the mountain, with the West side being cooler and potentially wetter due to the adiabatic cooling and precipitation, respectively.
learn more about adiabatic here:
https://brainly.com/question/14930930
#SPJ11
they say what goes up must come down does that mean that all of our intelligence will... is everybody in the future gonna be more and more dumb!
Which is true for the motion of the car during its journey along OAB?
12)
A) The velocity of the car remains constant throughout the journey.
B) The change in speed alone causes the velocity of the car to vary.
C) The change in direction alone causes the velocity of the car to vary.
D) The velocity of the car changes due to the change in speed and dir
Answer:
D
Explanation:
A is wrong as the direction of the car changes, implying velocity is changing and not constant.
B and C are wrong as both the change in speed and direction contribute to the change in velocity
A car travels from A to B and from B back to A.If the distance between A and B is 12 km and it took 20 minutes to travel full , then the average speed and average velocity of the car is
Answer:
Average speed = 0, Average velocity = 0.02 m/s
Explanation:
Given that,
A car travels from A to B and from B back to A.
The distance between A and B is 12 km
It took 20 minutes to travel full.
We need to find the average speed and the average velocity of the car.
As the car reaches the point from where it was started, the displacement of the car is equal to 0. As a result, the average velocity is equal to 0.
For average speed,
\(s=\dfrac{12+12}{60\times 20}\\\\s=0.02\ m/s\)
Hence, this is the required solution.