The first-order maximum for 425-nm wavelength blue light falling on double slits separated by 0.0520 mm occurs at an angle of approximately 84.48 degrees.
To calculate the angle at which the first-order maximum occurs for blue light with a wavelength of 425 nm (nanometers) falling on double slits separated by 0.0520 mm (millimeters), we can use the formula for the angle of diffraction:
sin(θ) = m * (λ / d)
where:
θ is the angle of diffraction,
m is the order of the maximum,
λ is the wavelength of light, and
d is the separation between the slits.
First, we need to convert the given measurements to SI units:
Wavelength, λ = 425 nm = 425 × \(10^{-9\) m
Separation between slits, d = 0.0520 mm = 0.0520 × \(10^{-3}\) m
Now we can calculate the angle of diffraction:
sin(θ) = m * (λ / d)
sin(θ) = 1 * (425 × \(10^{-9\) m / 0.0520 × \(10^{-3}\) m)
Calculating the value inside the parentheses:
425 × \(10^{-9\) / 0.0520 × \(10^{-3}\) = 8.173
Now, to find the angle θ, we can take the inverse sine (arcsine) of this value:
θ = arcsin(8.173)
Using a calculator, the value of arcsin(8.173) is approximately 84.48 degrees.
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In the hydraulic system depicted, the cylinder on the left has a diameter of 2 inches and the cylinder on the right has a diameter of 6 inches. If 100 lbs of force was applied to the cylinder on the left, what force would be exerted on the cylinder on the right
Answer:
F2 = 900 lbs
Explanation:
From pascal principle;
F1/A1 = F2/A2
Force on cylinder at left; F1 = 100 lbs
Diameter of cylinder at left; d1 = 2 inches
Diameter of cylinder at right; d2 = 6 inches
Formula for area of top of cylinder = πr²
Thus;
Area of top of left cylinder; A = π × 2² = 4π
Area of top of right cylinder; A = π × 6² = 36π
Thus;
100/4π = F2/36π
F2 = (36π × 100)/4π
F2 = 900 lbs
How is sitting by a fire thermal radiation
Sitting by a fire is an example of thermal radiation because the fire emits heat in the form of electromagnetic waves that are absorbed by nearby objects.
What is thermal radiation?
Thermal radiation is the transfer of heat energy in the form of electromagnetic waves, without requiring a medium to travel through. It can be emitted by any object with a temperature above absolute zero and can be absorbed by other objects, causing them to heat up.
Sitting by a fire is an example of thermal radiation because the fire emits electromagnetic radiation in the form of heat. When the fire burns, it produces thermal energy, which causes the molecules in the fire to vibrate and emit electromagnetic waves that carry thermal energy. These waves can be absorbed by nearby objects, including people sitting around the fire, causing them to heat up.
The transfer of heat through thermal radiation does not require a medium to travel through, unlike conduction and convection. This means that the heat can be transferred through the vacuum of space, making thermal radiation an important means of heat transfer in the universe, particularly for objects that are too far apart to transfer heat by conduction or convection.
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a middle cloud that sometimes forms in parallel waves or bands is:
The middle cloud that sometimes forms in parallel waves or bands is called an altocumulus cloud. Altocumulus clouds add texture and visual interest to the sky and are commonly observed in temperate and tropical regions.
Altocumulus clouds are typically located at an intermediate level in the atmosphere, between 6,500 to 20,000 feet (2,000 to 6,000 meters) above ground level. They are composed of water droplets and occasionally ice crystals.
Altocumulus clouds often appear as rounded or elongated patches, with a wave-like or undulating pattern. They can be white or grayish in color and may cover a significant portion of the sky. These clouds are usually associated with stable atmospheric conditions and are often seen before or during fair weather. However, they can also indicate the approach of a warm front or the potential for precipitation in some cases.
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1. can a species' niche be influenced by interspecific competition?
No, a species niche cannot be influenced by interspecific competition. Details about niche can be found below.
What is a niche?The niche of an organism in an ecosystem refers to the function within an ecological system to which an organism is especially suited.
Interspecific competition is the competition for resources between species of different organisms.
Niche of an organism is specific to that organism and this enables it avoid competition for resources in the environment.
This suggests that a species niche cannot be influenced by interspecific competition.
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Andrea, whose mass is 48kg, thinks she's sitting at rest in her 5. 0m-long dorm room as she does her physics homework. Within what range is her velocity likely to be?
For Andrea, whose mass is 48kg, thinks she's sitting at rest in her 5. 0m-long, her range is mathematically given as
dv=1.95*10^{-37}ms^{-1}
Within what range is her velocity likely to be?Generally, the equation for the uncertainty principle is mathematically given as
mdxsv=h/2
Therefore
dv=h/(2mdx)
dv=1.054*10^{-39}/2*45*6
dv=1.95*10^{-37}ms^{-1}
In conclusion, range of her velocity
dv=1.95*10^{-37}ms^{-1}
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The U.S. uses a household voltage of 110 V. However electric stoves and dryers are wired with 220 V outlet, or a German made 220 V rated curling iron into a 110 V outlet? explain
5. Gravity is an attractive force betweenA. all massive objects.B. Earth and objects on Earth.C. Earth and Moon, and objects on Earth.D. all objects everywhere.
Background image
The correct answer is option D gravity is an attractive force between any objects in the universe i.e. gravitational force.
Is gravity a force that draws two items together?
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
We can see that the gravitational force is inversely proportional to the distance between masses and directly proportional to the product of the masses of two objects. As a result, any item in the cosmos can be attracted to another by the force of gravity.
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The electron configuration for an atom is 1 s 2 2 s 2 2 p 2. How many electrons does the atom have?.
If the electronic configuration of an atom is 1s2 2s2 2p2 then it has 6 electrons.
This electronic configuration corresponds to carbon, whose atomic number is 6.
Importance of electronic configurationThe electronic configuration is a form of organization by layers that the electrons have.
Its importance is based on the ability to determine through it the total properties of chemical combination of atoms, which is equivalent to their location on the periodic table of elements.
Furthermore, the electronic configuration of an element defines its binding energy and thus its state at room temperature.
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4 In which one of the following cases will the distance covered and
the magnitude of the displacement are not the same? Justify.
(1) A passenger in a train travels from Delhi to Kolkata.
(ii) A raindrop falling in still air.
(iii) An athlete completes one lap in a race.
Answer:
the answer of this question is iii .
if the answer is wrong so sorry
please help!!!! need this done as soon as possible
The projectile will clear the castle walls, since it will travel a horizontal distance of approximately 80.25m.
How to explain the projectileFirst, we can split the initial velocity into its horizontal and vertical components. The horizontal component is given by:
Vx = V0 * cos(θ)
where V0 is the initial velocity and θ is the angle of launch.
Substituting the given values, we get:
Vx = 40 m/s * cos(50°) ≈ 25.76 m/s
The vertical component is given by:
Vy = V0 * sin(θ)
Substituting the given values, we get:
Vy = 40 m/s * sin(50°) ≈ 30.63 m/s
Next, we can use the vertical motion equations to find the time of flight and the maximum height reached by the projectile:
Vy = V0y + a*t
where a is the acceleration due to gravity (-9.8 m/s^2), and V0y is the initial vertical velocity. At the highest point of the projectile's trajectory, Vy will be zero.
Setting Vy to zero, we get:
0 = V0y + a*t
t = -V0y / a
Substituting the given values, we get:
t = -30.63 m/s / (-9.8 m/s^2) ≈ 3.12 s
To find the maximum height reached by the projectile, we can use the equation:
y = y0 + V0y*t + (1/2)at^2
where y0 is the initial height (zero in this case), and y is the maximum height.
Substituting the given values, we get:
y = 0 + 40 m/s * sin(50°) * 3.12 s + (1/2) * (-9.8 m/s^2) * (3.12 s)^2 ≈ 48.36 m
Now we can use the horizontal motion equations to find the horizontal distance traveled by the projectile:
x = x0 + Vx*t
where x0 is the initial horizontal distance (zero in this case), and x is the final horizontal distance.
Substituting the given values, we get:
x = 0 + 25.76 m/s * 3.12 s ≈ 80.25 m
Therefore, the projectile will clear the castle walls, since it will travel a horizontal distance of approximately 80.25 m, which is greater than the 150 m distance to the walls.
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Need this ASAP please because it's for a homework!
Make a time line where you organize the events since the Big Bang in sequence.
After the universe's 13.7 billion year old Big Bang, it has gone through numerous phases or epochs.
What is Big bang theory?It may have experienced more activity and change in the first second than in all the billions of years since because of the harsh environment and violence of its very early beginnings.
We can construct a rough timeline as follows using our current understanding of how the Big Bang might have developed, taking into account notions about inflation, the Grand Unification, etc.
The Planck Epoch (or Planck Era), which spans from 0 to around 10-43 seconds (1 Planck Time), is the closest that modern physics can come to the beginning of time itself.
Therefore, After the universe's 13.7 billion year old Big Bang, it has gone through numerous phases or epochs.
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Due to its motion in the magnetic field of the bar magnet, the charge will experience a force in which direction?
Due to its motion in the magnetic field of the bar magnet, the charge will experience a force perpendicular to both the velocity of the charge and the magnetic field
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
If you point your pointer finger in the direction the positive charge is moving, and then your middle finger in the direction of the magnetic field, your thumb points in the direction of the magnetic force pushing on the moving charge is called right hand rule .
The magnitude of the force is proportional to q, v, B, and the sine of the angle between v and B.
Hence , the magnetic force on a free moving charge is perpendicular to both the velocity of the charge and the magnetic field with direction given by the right hand rule.
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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
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Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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Consider an extension of our Cobb-Douglas technology Y=AK
α
L
β
M
γ
where, in addition to the known variables, M is the amount of raw materials consumed in production. All parameters A,α,β,γ are strictly positive. What is the condition on the parameters that makes the technology constant returns to scale in K,L and M ? Increasing returns to scale? Hint: Observe that by setting γ=0, you will obtain the production function we used in class. Is your answer when you set γ=0 consistent with what we learned in class? Question 3.2 Consider the so-called constant elasticity of substitution (CES) technology Y=[aK
α
+bL
α
]
β
where a,b>0 and α and β are nonzero. What is the restriction on the parameters that makes the production function be constant returns to scale in K and L ?
The production function will have constant returns to scale if 2αβ = 1
Constant returns to scale (CRS) implies that if all inputs increase by a factor of λ, the output increases by λ as well. The requirement for constant returns to scale (CRS) in a Cobb-Douglas production function with a new input factor is given by the sum of exponents on all variables equal to 1.
In this case, Y = AKαLβMγ.
Thus, we have that α + β + γ = 1 for constant returns to scale in K, L, and M, because the sum of the exponents is 1.
If the sum of the exponents is less than 1, it indicates decreasing returns to scale. If the sum of the exponents is greater than 1, it indicates increasing returns to scale. If we take γ = 0, we obtain the production function used in class, which is Y = AKαLβ, thus α + β = 1 for constant returns to scale in K and L.
When γ = 0, the answer we get is consistent with what we learned in class. Now, we consider the constant elasticity of substitution (CES) technology, where Y = [aKα + bLα]β. The production function will have constant returns to scale (CRS) in K and L if the sum of the exponents of K and L is equal to 1.
Therefore, αβ + αβ = 1, implying 2αβ = 1.
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If a substance has a density of 2.7g/cm3 and a mass of 86.4g, what is its volume?
Answer:
32cm³
Explanation:
Given parameters:
Density of substance = 2.7g/cm³
Mass of substance = 86.4g
Unknown:
Volume of substance = ?
Solution:
Density is the mass per unit volume of a substance.
Density = \(\frac{mass}{volume}\)
Since the unknown is volume we solve for it;
mass = density x volume
86.4 = 2.7 x volume
volume = \(\frac{86.4}{2.7}\) = 32cm³
A 25.0-mL aliquot of an aqueous quinine solution was diluted to 50.0 mL and found to have an absorbance of 0.656 at 348 nm when measured in a 2.50-cm cell.A second 25.0-mL aliquot was mixed with 10.00 mL of a solution containing 25.7 ppm of quinine; after dilution to 50.0 mL, this solution had an absorbance of 0.976 (2.50-cm cell). Calculate the concentration of quinine in parts per million in the sample.
Answer:
The value is \(C = 21.07 ppm\)
Explanation:
From the question we are told that
The volume of the first aliquot is \(V_a1 = 25.0 \ mL\)
The volume after dilution is \(V_A = 50.0mL\)
The Absorbance of the first solution is \(A_1 = 0.656\)
The wavelength at which the absorbance occurred is \(\lambda _1 = 348 nm = 348*10^{-9} \ m\)
The length of the cell \(l = 2.50 \ cm\)
The volume the second aliquot is \(V_{a2} = 25.0 \ mL\)
The volume of the solution it was mixed with is \(V_s = 10.00mL\)
The concentration of quinine in the 10 mL solution \(Z = 25.7ppm\)
The volume of the second solution after dilution is \(V_d = 50.0 mL\)
The absorbance of the second solution is \(A_2 = 0.976\)
Generally the concentration of quinine is mathematically represented as
\(C = \frac{A_1 *Z * V_s }{(A_2 -A_1) V_{a2}}\)
=> \(C = \frac{ 0.656 * 25.7 * 10.0}{ (0.976 - 0.656) * 25}\)
=> \(C = 21.07 ppm\)
"during a test crash, a 500 kg car is driven at a constant velocity of 50 mph until it hits a wall without braking. apply all three of newton's laws to this situation."
Newton's first law states that an object will remain in its state of motion unless acted upon by an external force. Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration.
According to Newton's first law, the car will continue to move at a constant velocity of 50 mph unless acted upon by an external force. When the car hits the wall, a force is exerted on the car, causing it to come to a stop. This force is the result of an interaction described by Newton's third law. As the car collides with the wall, it experiences a deceleration due to the force applied by the wall.
Applying Newton's second law, we can determine the acceleration of the car during the collision. Since the car's velocity is changing from 50 mph to 0 mph, there is a net force acting on the car in the opposite direction of its motion. This force is caused by the collision with the wall and is responsible for decelerating the car.
Newton's third law states that for every action, there is an equal and opposite reaction. In the context of the car crash, these laws can be used to analyze the forces acting on the car.
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For the Betz limit, what is the ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor? Note: Everything goes back to fundamentals (conservation of mass; conservation of momentum; and/or conservation of energy)
The ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor, according to the Betz limit, is approximately 0.707 or 1:√2.
The Betz limit, also known as the Betz limit or Betz's law, is a fundamental principle in wind turbine aerodynamics. It states that the maximum possible energy extraction from the wind by a wind turbine is limited to 59.3% of the total kinetic energy in the wind stream.
To understand the ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor, we need to consider the concept of stream tube conservation.
In wind turbine operation, a stream tube refers to the imaginary tube of air that passes through the rotor area. It is used to analyze the flow and energy extraction within the wind turbine.
According to the principle of stream tube conservation, the mass flow rate of air should be conserved between the upstream and downstream sections of the rotor plane. This means that the ratio of flow areas must be equal to the ratio of wind velocities upstream and downstream of the rotor.
Mathematically, we can express this as:
(A₁ / A₂) = (V₂ / V₁)
Where:
A₁ is the flow area just upstream of the rotor,
A₂ is the flow area just downstream of the rotor,
V₁ is the wind velocity just upstream of the rotor,
V₂ is the wind velocity just downstream of the rotor.
Now, in the case of the Betz limit, we know that the maximum possible energy extraction is 59.3% of the total kinetic energy. This means that the wind velocity just downstream of the rotor (V₂) should be reduced to 70.7% of the wind velocity just upstream of the rotor (V₁).
Using this information, the ratio of flow areas can be determined:
(A₁ / A₂) = (V₂ / V₁)
(A₁ / A₂) = 0.707
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Match each word to it's correct meaning.
1. conduction
A.resistance to motion between two objects in contact
2. convection
B.something that will flow
3. fluid
C.measure of how much heat energy a substance has
4. friction
D.transmission of heat by the transferring of energy from one particle to another
5. temperature
E.transfer of heat by the motion of the particles of a gas or fluid
PLS PLS PLS NEED HELP ONLY HAVE A LITTLE BIT TILL I HAVE TO SHOW ME PARENTS ME GRADES AND I CANT HAVE ANYTHING OVERDUE
Answer:
you know the answer i answered it before on a question 0-0
Explanation:
what is the weight of an elephant whose mass is 900kg
Please help me ASAP...
A train increases its speed steadily from 10 m/s to 20 m/s in 1 minute.
a What is its average speed during this time, in m/s?
b How far does it travel while increasing its speed?
Answer:
A: 15 m/s
B: 900 Meters
Explanation:
A. Average speed is equal to final velocity plus initial velocity divided by two
Va= (20+10)/2 = 15 m/s
B.
distance = speed × time
D= 15 m/s * 60s = 900 Meters
Answer:
Answer is in the attachment.
Explanation:
Hope this helps.
Please mark me as Brainliest.
a metal wire has a resistance of 10.0 ω at a temperature of 20oc. at 90oc, its resistance increases to 10.5 ω. what is the temperature coefficient of resistivity of this metal?
The temperature coefficient of resistivity of metal
10 = r0(1 + 20k)
10.5 = r0(1 + 90k);
10.5/10 = (1 + 90k)/(1 + 20k);
10.5 + 210k = 10 + 900k
k = 0.5/690 = 7.25·10-4 1/C
The primary unit of temperature within the worldwide gadget of units (SI) is the kelvin. It has the sign K . For normal programs, it's far often handy to use the Celsius scale, in which 0 °C corresponds very carefully to the freezing factor of water and a 100 °C is its boiling factor at sea level.
Temperature is a measure of the common kinetic energy of the debris in an object. While the temperature increases, the movement of those particles also will increase. Temperature is measured with the thermometer or calorimeter.
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Please help, I will mark Brainliest.
Answer:
Convergent - B. Crust - B - C-A
Explanation:
hope I helped
Determine la densidad de un objeto cuya masa es de 10 kg y tiene un volumen de 120 cm3
Answer:
dttydghcghcghdytdftygfvghxk,ghc
Explanation:
A simplified experiment showing the setup of a pith ball (a circular object) attached by a string to an insulated stand. The researcher tested how far away a charged glass rod can be held while still causing an attraction to the pith ball. Which statements accurately describe this experimental design? Select ALL that apply. A) An appropriate control could be a non-charged glass rod used for comparison. B) The dependent variable is the distance of the glass rod is from the pith ball. C) The independent variable is the distance of the glass rod is from the pith ball. D) The dependent variable is the level of attraction that the pith ball has to the charged rod. E) The independent variable is the level of attraction that the pith ball has to the charged rod.
Answer:
A, C, and D
Explanation:
An appropriate control could be a non-charged glass rod used for comparison, The independent variable is the distance of the glass rod is from the pith ball, The dependent variable is the level of attraction that the pith ball has to the charged rod are describe statements accurately describe this scientific experimental design. Thus option A, C, D are correct.
what is scientific experiment ?A scientific experiment can be defined as an investigation which involve in the process of manipulation of an independent variable in order to be able to determine the dependent variable means the effect.
The experiment used by scientists to demonstrate the condition causes or gives rise to another cause and effect, influence, behavior in a sample.
In a scientific method the experimental and mathematical techniques are used which comprises a series of steps such as systematic observation, measurement, and analysis to formulate, test and modify a hypothesis.
A hypothesis is considered to be tentative and it can be defined as a testable explanation for an observation
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37- Why do we oil door hinges?
Explanation:
so as to reduce the force of friction on the hinges and also to make the hinges to move freely
Answer:
door handles are oiled so that it reduces the amount of friction . (that is why we call friction a nessecary evil)
Can anyone tell me what concept of physics acts on snowboarders during the olympics big air jump
Answer:
gravity,lift and dragExplanation:
hope it helpsover the course of a day, 3.9 kgkg of water evaporates from the leaves of a corn plant.
a. How much energy is required to evaporate the water? (Assume that the temperature of the leaves is 30o C.)
b. If the plant is active for 12 hours, how much power does this correspond to? You can think of this as the necessary power to drive transport in the plant.
The necessary power to drive transport in the plant is 219.4 W.
A) To find the energy required to evaporate the water, we can use the equation Q = mL, where Q is the energy, m is the mass of the water, and L is the latent heat of vaporization. The latent heat of vaporization for water at 30°C is 2.43 x 10^6 J/kg. Plugging in the values, we get:
Q = (3.9 kg)(2.43 x 10^6 J/kg) = 9.477 x 10^6 J
B) To find the power, we can use the equation P = Q/t, where P is the power, Q is the energy, and t is the time. Plugging in the values, we get:
P = (9.477 x 10^6 J)/(12 hours x 3600 seconds/hour) = 219.4 W
Therefore, the necessary power to drive transport in the plant is 219.4 W.
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a 2.2 g spider is dangling at the end of a silk thread. you can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. you soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second.
The period of oscillation of a spider hanging on a silk thread, tapped once every second, is one second.
What is the period of oscillation of a spider hanging on a silk thread when tapped once every second?
The time it takes for one complete up-and-down motion of the spider on the silk thread is called the period of oscillation, denoted by T. We know from the problem statement that the spider has the largest amplitude on its bungee cord when tapped exactly once every second.
If the tapping is done exactly once every second, then the spider is experiencing a periodic force with a frequency of 1 Hz. In this case, the period of oscillation T is equal to the reciprocal of the frequency, which is:
T = 1/f = 1/1 Hz = 1 second
Therefore, the spider completes one full oscillation (i.e., up-and-down motion) every second.
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