Answer:
a. 1.062 × 10⁻⁹ C/m² b. 5.472 × 10⁵ C c. 7.685 × 10⁹ V d. -210.12 V e. 4.972 × 10³ N f. F the electric force is much less than the gravitational force F₁ of the earth on the moon.
Explanation:
a. The surface charge density D = ε₀E where E = 120 N/C
D = ε₀E = 8.854 × 10⁻¹² F/m × 120 N/C = 1.062 × 10⁻⁹ C/m²
The charge density is positive since the electric field is positive or directed downwards. Only a positive charge could direct an electric field out of itself.
b. Since the surface charge density is uniform over the planet and charge, Q = DA where A = area of earth = 4πr² where r = radius of earth = 6.4 × 10⁶ m.
So Q = DA
= 1.063 × 10⁻⁹ C/m² × 4π × (6.4 × 10⁶ m)²
= 5.4715 × 10⁵ C
≅ 5.472 × 10⁵ C
c. The earth's electric potential due to this charge Q is V = Q/4πε₀r
= 5.472 × 10⁵ C ÷ (4π × 8.854 × 10⁻¹² F/m × 6.4 × 10⁶ m)
= 5.472 × 10⁵ C ÷ 712.081 × 10⁻⁶ F
= 0.07685 × 10¹¹ V
= 7.685 × 10⁹ V
= 7.685 GV
d. Since V = Q/4πε₀r, and we are going to be dealing with a small change in length compared to r, we differentiate V to get the differential change in potential.
So, dV/dr = -Q/4πε₀r²
dV = -Qdr/4πε₀r² ,dr = 1.75 m
dV = -5.472 × 10⁵ C × 1.75 m ÷ [4π × 8.854 × 10⁻¹² F/m × (6.4 × 10⁶ m)²]
dV = -9.576 × 10⁵ Cm ÷ 4557.318 Fm
dV = -210.124 V
dV ≅ -210.12 V
e. Let Q₁ = charge on moon and Q₂ = charge on earth. Given that Q₁ = 0.273Q₂, the force of attraction between earth and moon is F = Q₁Q₂/4πε₀R² where R = distance between earth and moon = 3.844 × 10⁸ m
F = Q₁Q₂/4πε₀R²
= 0.273Q²/4πε₀R²
= 0.273 × (5.472 × 10⁵ C)²/ [4π × 8.854 × 10⁻¹² F/m × (3.844 × 10⁸ m)²]
= 8.1744 × 10¹⁰ C²/1644.054 Fm × 10⁴
= 0.004972 × 10⁶ N
= 4.972 × 10³ N
= 4.972 kN
f. The gravitational force between earth and moon F₁ = Gm₁m₂/R² where m₁ = mass of moon = 7.3 × 10²² kg and m₂ = mass of earth = 5.97 × 10²⁴ kg.
F₁ = 6.67 × 10⁻¹¹ Nm²/kg² × 5.97 × 10²⁴ kg × 7.3 × 10²² kg/(3.844 × 10⁸ m)²
= 290.685 × 10³⁵ Nm²/14.776 × 10¹⁶ m²
= 19.67 × 10¹⁹ N
= 1.967 × 10²⁰ N
≅ 2 × 10²⁰ N
Since F₁/F = 1.967 × 10²⁰ N/4.972 × 10³ N = 3.95 × 10¹⁶ ≅ 4 × 10¹⁶.
F the electric force is much less than the gravitational force F₁ of the earth on the moon.
Which statement best describes the two reactions?
A Upper C l subscript 2 plus upper H subscript 2 right arrow 2 upper H upper C l.
B Superscript 2 subscript 1 upper H plus superscript 3 subscript 1 upper H right superscript 4 subscript 2 upper H e plus superscript 1 subscript 0 n.
Reaction A involves a greater change, and reaction B involves a change in element identity.
Reaction B involves a greater change and a change in element identity.
Reaction A involves a greater change and a change in element identity.
Reaction B involves a greater change, and reaction A involves a change in element identity.
Answer:
b
Explanation:
i guessed annd got it right
Answer:
Reaction B involves a greater change and a change in element identity.
Explanation:
Worth 10 points! I will give brainliest!! Please help!!! See picture!
Answer:
The last option
Explanation:
HELPPP PLEASE I GIVE BRAINLIST
handles on kitchen stove pots are usually made of wood mainly because of ?
A ) Conduction
B ) Convection
C ) Radiation
D ) Condensation
Answer:
(B) Conduction
Explanation:
Answer:
a ) conduction
Explanation:
it's a because if u think about it a conductor keeps the heat from getting to a certain part of the metal
Rying to be on time for class, a girl moves at 2.4 m/s down a 52 m-long hallway, 1.2 m/s down a much more crowded hallway that is 79 m long, and the last 25 m to her class at 3.4 m/s. how long does it take her to reach her class?
The calculated time is 16 minutes. In physics, the definition of time is simple. Time is the interval at which changes or changes occur.
If nothing changes, you never know how much time has passed. Changes in length or time are calibrated by comparison to a standard. The SI unit of time is seconds, abbreviated s.
speed = distance/time or distance = speed * time
time to time conversion = 40/60 time
task,
distance = 12 * (40/60) => 8 km
Now you know the distance from her to the school.
again:
time = distance/speed
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A 4.0 kg object will have a weight of approximately 14.8 N on Mars. What is the gravitational field strength on M
Answer:
Gravitational field strength =weight/mass
Explanation:
14.8N/4.0kg
3.7N/kg
An archer shoots an arrow with a mass of 45.0 grams from bow pulled
back 65.0 centimeters. It reaches 150.0 meters in height. Ignoring air
resistance, what force in Newtons did the archer need to pull in order to
achieve this height? Your answer should be reported to the appropriate
number of significant figures. *
Answer:
The force the archer need to pull in order to achieve the height is approximately 101.8 N
Explanation:
By energy conservation principle, puling an elastic bow with a force, for a given distance, performs work which is converted to the potential energy of the arrow at height
The given parameters are;
The mass of the arrow, m = 45.0 grams = 0.045 kg
The distance the elastic bow is pulled, d = 65.0 cm = 0.65 m
The height at which the arrow is reaches, h = 150.0 meters
Let 'F', represent the force the archer need to pull in order to achieve the height
Work done, W = Force × Distance moved in the direction of the force
Therefore;
The work done in pulling the arrow, W = F × d
By energy conservation, we have;
The work done in pulling the arrow, W = The potential energy gained by the arrow, P.E.
W = P.E.
The potential energy gained by the arrow, P.E. = m·g·h
Where;
m = The mass of the arrow
g = The acceleration due to gravity = 9.8 m/s²
h = The height the arrow reaches
∴ by plugging in the values, P.E. = 0.045 kg ×9.8 m/s² × 150 m = 66.15 J
W = F × d = F × 0.065 m
Also, W = P.E. = 66.15 J
∴ W = F × 0.065 m = 66.15 J
F × 0.065 m = 66.15 J
F = 66.15 J/(0.65 m) = 1323/13 N ≈ 101.8 N
The force the archer need to pull in order to achieve the height, F ≈ 101.8 N.
What is the difference between a primary and a secondary cell?
Primary cells are the ones which cannot be recharged and have to be discarded after the expiration of the lifetime whereas, secondary cells need to be recharged when the charge gets over. Both the types of battery are used extensively in various appliances and these cells differ in size and material used in them.
Which of the following processes of energy transport are NOT important inside the Sun?
A. Convection
B. Radiation
C. Conduction
D. All three of these are important.
Conduction is not an important process of energy transport inside the Sun. So the correct answer is option C.
The high temperature and density of the solar interior cause it to behave like a plasma, a state of matter in which electrons are stripped from atoms, resulting in a highly conductive fluid. Convection and radiation are the primary means by which energy is transported from the core of the Sun to its surface. Convection involves the transfer of heat through the motion of fluid, while radiation involves the transfer of energy through electromagnetic waves. The convective zone is the outermost layer of the solar interior, and it plays a crucial role in the transport of energy. Hence option C is correct.
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Increasing the size of the circle would _ the centripetal acceleration.
If you are keeping the speed constant and increasing the radius then the centripetal acceleration would decrease. An example of this would be driving a curve with an increasing radius (a spiral) at a constant speed. To understand why to remember that acceleration is the rate of change of velocity.
Describe the changes of energy in an electrical train as it approaches a station and breaks to halt
The changes of energy in an electrical train as it approaches a station and breaks to halt are potential energy → friction → heat and sound
- → friction on train wheels due to brakes reduces KE of train to zero
- → heat and sound to surroundings
What is energy?Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.
Energy comes in a wide variety of forms, including:
HeatLightMotionElectricalChemicalGravitationalThese energies can be divided into two categories for working energy:
Potential or stored energyKinetic or working energyLearn more about energy
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What is the maximum force of friction if a box with a weight of 4.5N is stationary on a horizontal table with a coefficient of friction of 0.30?
A 1.4N
B 15N
C 0.067N
D 4.8N
The highest frictional force is 1.35 N, which is the result that comes closest to A (1.4 N).
What will happen if a block slides downward at a steady speed on a rough inclined plane?Since the body's acceleration is determined by the differential of velocity with time, which is zero if velocity is constant, the block's steady downward motion indicates that the body's acceleration is zero. Hence, there is no net force exerted on the body.
Ff(max) = μFn
where Ff(max) is the maximum force of friction, μ is the coefficient of friction, and Fn is the normal force.
In this case, the weight of the box is the same as the normal force, so:
Fn = 4.5 N
Ff(max) = 0.30 x 4.5 N = 1.35 N
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for a given system containing 3 energy levels 0.7,141, and 1,542 j/mol, with corresponding degeneracies of 8,4 , and 9 , calculate the partition function at temperature 53 k. input your answer in 2 decimal places.
The partition function of the given system at a temperature of 53 K is approximately 129.42.
The partition function (Q) represents the sum of the Boltzmann factors for each energy level in a system. The Boltzmann factor is given by the equation:
Boltzmann factor = degeneracy * exp(-E/kT)
Where:
degeneracy is the number of microstates corresponding to each energy level
E is the energy of the level
k is the Boltzmann constant (8.617333262145 x 10^-5 eV/K)
T is the temperature in Kelvin
To calculate the partition function, we need to evaluate the Boltzmann factors for each energy level and sum them up.
For the given system:
Energy level 0: E = 0.7 J/mol, degeneracy = 8
Energy level 1: E = 141 J/mol, degeneracy = 4
Energy level 2: E = 1542 J/mol, degeneracy = 9
Using the Boltzmann factor equation, we can calculate the factors for each level:
Boltzmann factor 0 = 8 * exp(-0.7 / (8.617333262145 x 10^-5 * 53))
Boltzmann factor 1 = 4 * exp(-141 / (8.617333262145 x 10^-5 * 53))
Boltzmann factor 2 = 9 * exp(-1542 / (8.617333262145 x 10^-5 * 53))
Finally, we sum up the Boltzmann factors to obtain the partition function:
Q = Boltzmann factor 0 + Boltzmann factor 1 + Boltzmann factor 2
Calculating the Boltzmann factors and summing them up, we find that the partition function is approximately 129.42 when rounded to 2 decimal places.
At a temperature of 53 K, the partition function of the given system with energy levels of 0.7 J/mol, 141 J/mol, and 1542 J/mol, with corresponding degeneracies of 8, 4, and 9 respectively, is approximately 129.42. The partition function represents the sum of the Boltzmann factors for each energy level, which takes into account the degeneracy and energy of each level at a given temperature.
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In order to gather warmth, alligators can often be found lying on the grassy banks of lakes during the daylight hours to regulate their body temperature. How is heat transferred to the alligator?.
The warm water of the lake transfers heat to the alligator through conduction.
Ectothermic animals like alligators depend on outside heat sources to maintain body temperature. By taking a sunbath or relocating to places with warmer or colder air or water temperatures, alligators may regulate their body temperature. Ectothermic, or cold-blooded, alligators experience temperature changes in response to their surroundings. Alligators are forced to actively regulate their body temperature as a result, searching out locations that are both warm and cool enough for them. Alligators may lay in the sun with their jaws open to allow heat to escape while they enjoy the Florida sunshine as it becomes too hot over 92°. Alligators will move very little during the day and become more active at night if the temperature is too high.
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the wheels of a bicycle are 725 mm in diameter. how many revolutions would these wheels make during a 4.55 mile ride?
The number of revolutions that the wheel has to make to travel 4.55 miles is 3214 revolutions.
The number of revolutions made by a circle of radius r to cover a distance s is s= 2 πr. In covering a distance s m, a circular wheel of radius r m makes s2πr revolution.
The diameter of the wheel is 725mm or 0.725 m. The distance the wheel has to go is x=4.55 miles or 7323 m.
The circumference of the wheel is πD where D is the diameter. Therefore the number of revolutions to travel distance X is no. of revolution = X/(πD). So if D = 0.725m and X = 7323m. Then the number of revolutions = 7323/(π x 0.725) = 3213.85 revolutions or 3214 revolutions.
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The plane of a rectangular loop of wire with a width of 5.0 cm and a height of 8.0 cm is parallel to a magnetic field of magnitude 0.18 T. The loop carries a current of 6.3 A. What torque acts on the loop? What is the magnetic moment of the loop? What is the maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field?
The maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field is I ( πR2) B
Given
Area of the rectangular loop A = 5.0cm *8.0cm = 40*10-4m2
magnetic field B = 0.19T
current I = 6.2A
a) torque acts on the loop
τ = IAB
substitute the values for τ
b) the magnetic moment of the loop
μ = IA
substitute the values for μ
c) length of the wire L = 2( 5+8)*10-2m
for maximum torque, the Area should be maximum i.e. circle
circumference of the circle 2πR=L
radius R = L / (2π)
the maximum torque τ' =IA' B
= I ( πR2) B
substitute the values for τ'
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Two charges are separated by a distance r. The distance between the charges is tripled to 3r. If the original force between the charges was 45N what is the new force between the charges A.5N B.15N C.75N D.135N
Answer:
5N
Explanation:
The formula formula for calculating the force between charges is expressed as;
F = kq1q2/r²
If two charges are separated by a distance r and a force between them is 45N, then;
45 = kq1q2/r² ....1
If the distance between the charges is tripled to 3r, then;
F = kq1q2/(3r)²
F = kq1q2/9r² ... 2
Divide both expressions
45/F = (kq1q2/r²)/(kq1q2/9r²)
45/F = kq1q2/r² * 9r²/kq1q2
45/F = 9
9F = 45
F = 45/9
F = 5N
Hence the new force between them will be 5N
You are pulling a child in a wagon. The rope handle is inclined upward at a 60° angle. The tension in the handle is 20 N. How much work do you do if you pull the wagon 170 m at a constant speed?
You're pulling a wagon with a child in it and we want to find out how much work you're doing.
First, let's understand what work is. In physics, work is the energy transferred to or from an object when a force is applied to it and the object moves. The formula for work (W) is:
W = F * d * cos(θ),
where
- W is the work done,
- F is the force applied,
- d is the distance over which the force is applied, and
- θ (theta) is the angle between the force and the direction of movement.
In your example, you're pulling the wagon with a tension of 20 N in the handle, you're pulling it 170 m, and the angle between the handle and the ground is 60 degrees.
So, let's plug the numbers into the formula:
W = 20 N * 170 m * cos(60°).
Now, let's break this down even more.
1. Force (F): The force you're applying is the tension in the handle, which is 20 N (Newtons).
2. Distance (d): You're pulling the wagon for 170 m (meters), so that's the distance over which you're applying the force.
3. Angle (θ): The angle between the handle and the direction you're pulling is 60 degrees. When the angle is 0 degrees, the force is directly in the direction of movement, and when it's 90 degrees, the force is perpendicular to the direction of movement. At 60 degrees, the force is somewhere in between.
Now, cos(60°) is equal to 0.5. You can find this value using a calculator or trigonometry table. Let's plug this value into the equation:
W = 20 N * 170 m * 0.5
= 20 * 170 * 0.5
= 3400 * 0.5
= 1700 Joules.
So, you do 1700 Joules of work pulling the wagon.
In simpler words, because you are pulling the wagon at an angle, not all of your force is used to move it in the direction you want. Only half of your force is actually pulling it forward, and this results in doing 1700 Joules of work.
what is the refractive power (in diopters or m-1) of a pair of contact lenses that allow a near-sighted man with a far-point distance of 60 cm to focus on very distant objects?
The refractive power of the contact lenses required to allow the near-sighted man to focus on very distant objects is approximately +1.67 diopters .
Apologies for the incorrect response in the previous message. Let's correct the calculation:
To determine the refractive power of the contact lenses, we need to calculate the lens power required to correct the near-sightedness of the individual.
The refractive power (P) can be calculated using the formula:
P = 1 / f
where f is the focal length of the lens.
In this case, the near-sighted man has a far-point distance of 60 cm, which means that objects need to be brought closer to him to focus properly.
To calculate the refractive power, we need to find the focal length that brings the far-point distance to infinity. In other words, we need to find the lens power that compensates for the near-sightedness.
Since the far-point distance (f) is 60 cm and we want to correct it to infinity, we can use the formula:
P = 1 / f = 1 / 0.60 = 1.67 D
Therefore, the refractive power of the contact lenses required to allow the near-sighted man to focus on very distant objects is approximately +1.67 diopters or +1.67 \(m^{-1.\) The positive sign indicates that the lenses are converging lenses, which help bring the light rays together to focus correctly on the retina.
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What is your(human) role in energy transition? Write 5 points
with arguments
Human roles in energy transition are:
Consumer choicesAdvocacy and awarenessEnergy efficiencySupport for innovation:Community engagement: Consumer choices: The conscious choice of sources creates a market need for clean energy sources and signals to energy providers the need for sustainable solutions. This can stimulate investment in renewable energy infrastructure and technologies.Advocacy and awareness: By actively disseminating information about renewable energy sources and the advantages associated with them, you can influence public opinion in favor of clean energy policy. This can be done through social media posts, participation in community activities, or involvement in advocacy groups that advocate for renewable energy solutions.Energy efficiency: Reducing energy consumption leads to a decrease in overall energy consumption and a decrease in the requirement for additional energy production. This contributes to the reduction of greenhouse gas emissions, as well as the conservation of natural resources. Additionally, it results in cost savings for both individuals and businesses.Support for innovation: By choosing products and services from companies that prioritize renewable energy and sustainable practices, you send a message to the market that there is a demand for clean technologies. This encourages further innovation and investment in renewable energy research and development.Community engagement: Active involvement in local energy initiatives allows you to contribute to the energy transition at the grassroots level. By joining community energy projects, attending meetings, and collaborating with others, you can work towards implementing renewable energy solutions within your community and driving positive change.By taking these steps, you can actively contribute to the energy transition and be a part of the movement toward a more sustainable and clean energy future.
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In an electrical circuit, what happens to the current flowing through the wire if the initial voltage of 18 V is doubled, and the initial resistance of 35 Ohms is reduced by a factor of 4?
ANSWER QUICKLY PLEASE! ITS URGENT!
The current is increased by a factor of 8.
From 18/35 A. to 144/35 A.
The electric current changes from 0.514 ampere to 4.14 ampere, i.e, electric current flow in the circuit increases 8 times.
What is electric current?A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.
Initial electric current flowing through the circuit = (18 volt ÷ 35 ohms)
= 0.514 ampere.
When the initial voltage of 18 V is doubled, and the initial resistance of 35 Ohms is reduced by a factor of 4, electric current flowing through the circuit will be = (2 × 18 volt )÷ (35 ohms÷4)
= 4.114 ampere.
Hence, electric current changes from 0.514 ampere to 4.14 ampere, i.e., electric current flow in the circuit increases 8 times.
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Which of the following statements about the different types (shapes) of galaxies is correct? O whatever type a galaxy is at its birth, that's what it will be for all time O what type we see a galaxy to be just depends on the angle at which we happen to see it all galacies look roughly the same in shape O collisions and mergers between galaxies can sometimes change a galaxy's type (shape) O all galaxies start out as ellipticals, but some later evolve to be spirals and irregulars O 90% of all galaxies are spirals (including our Milky Waylthe other two types are very unusual
"The statement that is correct is: ""Collisions and mergers between galaxies can sometimes change a galaxy's type (shape).""
Galaxies can interact with each other, leading to gravitational disturbances that can cause a change in their shape. For example, when two spiral galaxies collide, they can merge to form an elliptical galaxy. This process can also trigger the formation of new stars and other phenomena in the galaxies involved.
The other statements are incorrect:
Whatever type a galaxy is at its birth, that's what it will be for all time: This is not correct. The type of galaxy can change over time due to interactions with other galaxies, as mentioned above.
What type we see a galaxy to be just depends on the angle at which we happen to see it: This is also not correct. The shape of a galaxy can be determined by analyzing its structure and properties, such as the distribution of stars and gas.
All galaxies start out as ellipticals, but some later evolve to be spirals and irregulars: This is not correct either. Different types of galaxies can form through different mechanisms, and some galaxies may not fit neatly into any of the three main types (elliptical, spiral, irregular).
90% of all galaxies are spirals (including our Milky Way), the other two types are very unusual: This statement is also not correct. While spiral galaxies are common, there are also many elliptical and irregular galaxies in the universe.
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which type of respirator filters chemical gases out of the air as you breathe?
Respirators are personal protective equipment (PPE) devices designed to protect individuals from inhaling harmful substances in the air. A respirator equipped with a chemical cartridge or canister is designed to filter chemical gases out of the air as you breathe.
Respirators are personal protective equipment (PPE) devices designed to protect individuals from inhaling harmful substances in the air. Different types of respirators are available depending on the specific hazards present. For filtering chemical gases, a respirator equipped with a chemical cartridge or canister is typically used.
Chemical cartridges or canisters contain activated carbon or other specialized filtering materials that are designed to adsorb or chemically react with specific gases or vapors. As air passes through the respirator, the chemical cartridge or canister captures and removes the harmful chemical contaminants, ensuring that only clean air is inhaled.
It is important to note that the effectiveness of a respirator in filtering chemical gases depends on several factors, including the type of cartridge or canister used, the concentration of the chemical, and the fit of the respirator on the wearer's face. Therefore, it is crucial to select the appropriate respirator with the right cartridge or canister for the specific chemicals present in the environment to ensure adequate protection against chemical gases.
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A weight of 4lb stretches a spring 6 in. The weight is pulled down 8 in from its equilibrium position and released from rest. There is a damping force of F
d
=2.5x
′
lb. where x
′
is in ft/sec. a) Find a formula for the position at time t. b) Is the motion, under-damped, over-damped, or critically damped? (Assume that the positive direction is downward) c) Graph x(t) on [−0.3,1.5] 1) Solve and graph the solutions for problems 1 through 4 by using either the Mathematica or Wolfram Alpha. ii) Please turn in your solutions + graphs in class on the due date
The formula for the position at time t is x(t) = A\(e^{rt}\)cos(ωt) + B\(e^{rt}\)sin(ωt), where A and B are constants, r is the damping coefficient, and ω is the angular frequency.
The motion is critically damped.
The graph of x(t) on the interval [-0.3, 1.5] will show the position of the weight over time.
(a) To find the formula for the position at time t, we can start by considering the general equation of motion for a damped harmonic oscillator: mx'' + cx' + kx = 0, where m is the mass, c is the damping coefficient, k is the spring constant, and x is the position. In this case, we have a weight of 4 lb and a damping force of Fd = 2.5x'. By comparing coefficients, we can determine that m = 4 lb, c = 2.5, and k = 24 lb/in.
Solving for the roots of the characteristic equation, we find that r = -c/2m = -2.5/8 = -0.3125. The angular frequency ω is calculated as ω = sqrt(k/m) = sqrt(24/4) = 3. Using these values, the general solution can be written as x(t) = A\(e^{rt}\)cos(ωt) + B\(e^{rt}\)sin(ωt), where A and B are constants.
(b) The motion is critically damped when the damping coefficient is equal to the critical damping value, which is given by 2sqrt(km). In this case, the critical damping value is 2sqrt(24*4) ≈ 9.798. Since the damping coefficient c = 2.5 is less than the critical damping value, the motion is critically damped.
(c) To graph x(t) on the interval [-0.3, 1.5], we can choose appropriate values for A and B based on the initial conditions. Since the weight is pulled down 8 in from its equilibrium position and released from rest, we can set x(0) = -8 and x'(0) = 0. Substituting these values into the general solution, we can solve for A and B. Once we have determined the values of A and B, we can plot the graph of x(t) using a suitable software tool like Desmos, setting the time interval from -0.3 to 1.5.
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the table lists the heights and weights of six wide receivers who played for the atlanta falcons during the 2010 football season. a. make a scatter plot for the data. be sure to label your axes.
Unfortunately, as an AI text-based model, I am unable to directly create visual content like scatter plots. However, I can guide you on how to create a scatter plot based on the given data.
To make a scatter plot for the heights and weights of the wide receivers, follow these steps:
1. Prepare your data: Organize the heights and weights of the six wide receivers in a table, with one column for heights and another for weights.
2. Choose a scale: Determine the appropriate scale for each axis based on the range of values in the data. Ensure that the plot will adequately represent the variations in both height and weight.
3. Assign axes: Label the vertical axis (y-axis) for the heights and the horizontal axis (x-axis) for the weights. Include the units of measurement (e.g., inches for height and pounds for weight).
4. Plot the data points: For each wide receiver, locate the corresponding height and weight values on the axes and mark a point. Repeat this for all six wide receivers.
5. Add labels and title: Label each data point with the respective player's identifier (name, jersey number, or any other identifier you prefer). Additionally, provide a title for the scatter plot, such as "Height and Weight of Atlanta Falcons Wide Receivers (2010 Season)."
Remember to maintain clear and readable labels, and use appropriate symbols or markers for the data points.
By following these steps, you can create a scatter plot representing the heights and weights of the Atlanta Falcons wide receivers during the 2010 football season.
Learn more about creating scatter plots and data visualization techniques using graphing software or tools available online for your specific needs.
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light of wavelength 460 nm falls on two slits spaced 0.3 mm apart if the spacing between the first and third dark fringes is to be 4,0 mm what is the distance from the slits to the screen
The distance is 0.0013.4 mm
For dark fringe is 4,0
light of wavelength 460 nm
slits spaced 0.3 mm.
\($y=\frac{D}{d}(2 n-1) \frac{\lambda}{2}$$\)
For First dark fringe put n=1
For third dark fringe put n=3
\($\begin{aligned}& y_1=\frac{D \lambda}{d 2} \\& y_3-y_1=\frac{5 D \lambda}{2 d}-\frac{D \lambda}{2 d}=\frac{5 D \lambda}{2 d} \\& \Delta y=\frac{2 D D \lambda}{2 d} \\& L_1 \mathrm{~mm}=\frac{2 \times D \times 460 \mathrm{~nm}}{0.3 \mathrm{~mm}} \\& D=\frac{4 \times 0.3}{2 \times 460} \mathrm{~mm}=0.001304 \mathrm{~mm}\end{aligned}$$\)
Therefore, the distance from the slits to the screen is 0.001304 mm.
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Int this setup of YDSE distance from the slits to the screen is 1.739 m
As we all know from the young's double slit experiment the position of n(th) dark fringe width is given by
\(y=(n+\frac{1}{2} )\)λ\(\frac{D}{d}\)
here, y= position of minima on the screen
n= no. of minima
D= slit- screen separation
d= slit width
λ= wavelength of light used
Given,
λ= 460nm= 460×10⁻⁹ m
Δy= 4×10⁻³ m
d= 0.3mm= 0.3×10⁻³ m
According to question, y₃-y₁= Δy= 4×10⁻³ m
For first dark fringe n=0
For third dark fringe n=2
On putting all the values and solving we get
D= 1.739m
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A hollow cylinder of radius 1. 4 cm, height 7. 3 cm, and mass 430 g is attached by a wire to one of its circular faces. It is twisted through an angle of 10o and released. If the spring has a torsion constant of 350 N-m/rad, what is the frequency of the motion
The frequency of the motion is 2.45 Hz.
What is the frequency of the motion in hertz?The frequency of the motion can be calculated using the formula:
f = (1 / 2π) * √(k / I)
Where:
f is the frequency in hertz,
k is the torsion constant in newton-meters per radian, and
I is the moment of inertia of the cylinder.
To find the moment of inertia, we need to consider the geometry of the hollow cylinder. The moment of inertia for a hollow cylinder rotating about its central axis is given by the formula:
I =\((m * R^2) * (1 - (r^2 / R^2))\)
Where:
m is the mass of the cylinder,
R is the radius of the cylinder, and
r is the radius of the hollow part of the cylinder.
Plugging in the given values, we have:
m = 430 g = 0.43 kg
R = 1.4 cm = 0.014 m
r = 0 cm (since the cylinder is solid)
Calculating the moment of inertia:
I =\((0.43 * 0.014^2) * (1 - (0^2 / 0.014^2))\) = 0.00012722 kg·m²
Now we can calculate the frequency of the motion:
f = (1 / 2π) * √(350 / 0.00012722) ≈ 2.45 Hz
Therefore, the frequency of the motion is approximately 2.45 Hz.
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What is role of force on the speed of moving object?
Explanation:
this is the ans hope it works
Answer:
Forces make things speed up (or accelerate). When a force pushes or pulls the object, the object will move in the direction of the force. The bigger the force, and the lighter the object, the greater the acceleration.
Explanation:
The action from a force can cause an object to move or speed up (accelerate), to slow down (decelerate), to stop, or to change direction. Since any change in velocity is considered acceleration, it can be said that a force on an object results in the acceleration of an object.
A simple mathematical relationship exists between the mass of an object (m), the net force on the object (f) and its acceleration (a). The acceleration of an object is directly proportional to the net force and indirectly proportional to the object’s mass (a = f/m).
Consider an airplane flying at a standard altitude of 5km with a velocity of 270m/s. At a point on the wing of the airplane, the velocity is 330m/s. Calculate the pressure at this point.
The pressure at the point on the wing is \( P_1 - 18000 \text{ m}^2/\text{s}^2 \).The pressure at a point on the wing of the airplane can be calculated using Bernoulli's principle.
Bernoulli's principle states that as the velocity of a fluid (or air in this case) increases, the pressure decreases, and vice versa.
To calculate the pressure at this point on the wing, we need to use the equation:
\( P_1 + 0.5 \rho v_1^2 = P_2 + 0.5 \rho v_2^2 \)
where \( P_1 \) is the pressure at the standard altitude, \( v_1 \) is the velocity at the standard altitude, \( P_2 \) is the pressure at the point on the wing, and \( v_2 \) is the velocity at the point on the wing.
Given:
\( P_1 = \text{pressure at standard altitude} = ? \)
\( v_1 = \text{velocity at standard altitude} = 270 \text{ m/s} \)
\( v_2 = \text{velocity at the point on the wing} = 330 \text{ m/s} \)
\( \rho = \text{density of air} = \text{constant (we can ignore this for this calculation)} \)
We can rearrange the equation to solve for \( P_2 \):
\( P_2 = P_1 + 0.5 \rho v_1^2 - 0.5 \rho v_2^2 \)
Since we are not given the density of air, we can assume it to be constant and cancel it out from both terms. This simplifies the equation to:
\( P_2 = P_1 + 0.5 v_1^2 - 0.5 v_2^2 \)
Now we can substitute the given values and calculate \( P_2 \):
\( P_2 = P_1 + 0.5 (270 \text{ m/s})^2 - 0.5 (330 \text{ m/s})^2 \)
\( P_2 = P_1 + 0.5 \times 72900 \text{ m}^2/\text{s}^2 - 0.5 \times 108900 \text{ m}^2/\text{s}^2 \)
\( P_2 = P_1 + 36450 \text{ m}^2/\text{s}^2 - 54450 \text{ m}^2/\text{s}^2 \)
\( P_2 = P_1 - 18000 \text{ m}^2/\text{s}^2 \)
Therefore, the pressure at the point on the wing is \( P_1 - 18000 \text{ m}^2/\text{s}^2 \).
Please note that the actual value of \( P_1 \) is not given in the question, so we cannot provide a specific numerical answer. However, you can use this equation to calculate the pressure at any given point on the wing if the standard pressure at the standard altitude is known.
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Describe the energy of a car driving up a hill. a. entirely kinetic b. entirely potential c. both kinetic and potential d. gravitational e. elastic Explain why
The kinetic energy of the moving car is converted from potential energy.
What type of energy does a car have when it is being driven up a hill?An easy illustration is a car that is parked at the top of a hill. The car gains more kinetic energy and loses more potential energy as it goes down the slope, increasing its kinetic energy. The car transforms kinetic energy into potential energy as it ascends the hill back to the top.
When climbing a hill, what happens to kinetic energy?The marble moves from kinetic energy to gravitational potential energy as it ascends the small hill, then backwards as it descends the hill on the opposite side.
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Can some one help me whith the answer
→ The charge in electron charge Q(e) is equal to the charge in coulombs Q(C) times 6.24150975⋅1018:
1C = 6.24150975⋅10¹⁸e
Q(e) = Q(C) × 6.24150975 × 10¹⁸
Q(e) = 96,500 × 6.24150975 × 10¹⁸
Q(e) = 6.02305690875 × 10²³
which is round off to
→ 6.03 × 10²³ electrons