The power consumed across AB would be 4W.
What Is a Resistor?A passive electrical component called a resistor prevents the flow of electric current by introducing resistance. They are prevalent in practically all electrical networks and electronic circuits. Ohms () are used to measure resistance. An ohm is the resistance that develops when a resistor has a one-volt (V) drop between its terminals and a one-ampere (A) current flows through it.
Five resistors in total are positioned at various points in the terminal AB in the preceding diagram. We must now determine the five resistors' equivalent resistance.
Let's split it into two sections. Two resistors make up the part below and three resistors make up the part above.
Now, we must determine the part's actual resistance.
Req=(r1r2/ r1+r2)×r3 * (r1r2/ r1+r2+r3)⇒Req=7×721∴Req=7/3
The obtained resistance is then parallel to the below traitor and in series with the neighboring resistor.
The net effective resistance will therefore be b,
Req=7/3+7=28/3\s⇒Reff=28/3×7/49/3∴Reff=4Ω
As a result, the power through terminal AB will be as follows:
P=1×4=4W.
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I need pls with this work pls
The missing part of the question have been filled below on Continental drift
What did Wegener do?
In the early part of the 20th century, a German scientist named Alfred Wegener, proposed the theory of continental drift which suggested the continents move and started out in different positions from what they are currently. In the 1960s, scientists discovered the spreading apart of areas of the sea floor. This in turn led to the theory of plate tectonics. The lithosphere is made of plates which float on a "plastic-like" undersurface called the mantle. Where these plates come together at boundaries, changes take place in the crust and its feature.
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Wind farms are a source of renewable energy found around the world. The power p (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 600kw in a 13 m/s wind, how much power does it generate in a 14 m/s wind?.
The turbine generates approximately 781.78 kW of power in a 14 m/s wind.
The power generated by a wind turbine is directly proportional to the cube of the wind speed. Therefore, we can write:
p ∝ [tex]v^3[/tex]
where "p" is the power generated in kilowatts (kW) and "v" is the wind speed in meters per second (m/s). We can also introduce a constant of proportionality "k" to get:
p = k [tex]v^3[/tex]
To find the value of "k", we can use the given information that the turbine generates 600 kW in a 13 m/s wind. Thus:
600 = k x [tex]13^3[/tex]
Solving for "k", we get:
k = 600 / [tex]13^3[/tex]
k = 0.270270...
Now we can use this value of "k" to find the power generated by the turbine in a 14 m/s wind. Thus:
p = 0.270270... x [tex]14^3[/tex]
p ≈ 781.78 kW
Therefore, the turbine generates approximately 781.78 kW of power in a 14 m/s wind.
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The space above a hung ceiling used for environmental air-handling purposes is an example of ________ and the wiring limitations of ______ apply.
(a) a specifically fabricated duct used for environmental air, 300.22B
(b) other space used of environmental air (plenum), 300.22(C)
(c) a supply duct used for environmental air 300.22(B)
(d) none of these
The space above a hung ceiling used for environmental air-handling purposes is an example of other space used of environmental air (plenum) and the wiring limitations of 300.22(C) apply. Therefore, the correct option is option B.
What is environment?An environment may be simply defined as a system that includes all its abiotic and biotic components that have an impact on human life. All flora and animals are considered biotic, or living, elements, whereas water, sunshine, air, temperature, etc. are considered abiotic.
An environment's resources can be any good, service, or feature that benefits people and society. The space above a hung ceiling used for environmental air-handling purposes is an example of other space used of environmental air (plenum) and the wiring limitations of 300.22(C) apply.
Therefore, the correct option is option B.
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A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
At a height of 4.48 meters, a rock's kinetic energy is twice its potential energy.
What are kinetic energy and potential energy?Potential energy is the energy stored in any object or system due to the position or arrangement of its parts. It is, however, unaffected by factors outside of the object or system, such as air or height. Kinetic energy, on the other hand, is the energy of moving particles in an object or system.
Given that a 6.0-kg rock is dropped from a height of 9.0 m.
Calculate the total potential energy at the initial point,
PE = mgh
PE = 6 x 9.81 x 9
PE = 530.74 J
At the zero height, the kinetic energy will be maximum and is equal to the total energy,
KE = 530.75 J
1/2 mv² = 530.75
v² = 175.85
The height at which the kinetic energy is two times the potential energy is calculated as:-
1 /2 x mv² = 2 x mgh
h = ( 4 v²) / ( 4 x 9.81 )
h = 4 ( 175.82 ) / ( 4 x 9.81 )
h = 4.48 meters
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An object weighing 300 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 262 N. Immersed in oil, the object appears to weigh 273 N. Find the density of the object. Answer in units of kg/m^3.
The density of the object is:
rho object = m / V = 300 / 720 = [tex]0.4167 kg/m^3[/tex]
What best defines the density of an object?When an object is immersed in liquid, it appears to lose weight equal to the weight of the liquid displaced. Apparent weight loss is caused by an upwardly acting buoyant force that balances the weight of the object.
This problem can be solved using Archimedes' principle that the buoyant force on an object is equal to the weight of the liquid displaced by the object.
First, let's calculate the volume of the object. An object in air weighs 300 N. When immersed in water, the weight is reduced to 262 N. This means that the buoyant force acting on the object is 300 - 262 = 38 N.
Buoyancy is equal to the weight of water displaced by an object. Therefore, the volume of the object is:
[tex]V = m\ water / rho\ water = F\ buoyant / g / rho\ water[/tex]
where m water is the mass of water displaced by the object, rho water is the density of the water, F buoyancy is the buoyant force acting on the object, and g is the acceleration is respect of gravity.
Inserting the given value will result in:
[tex]V = 38 / 9.81 / 1000 = 0.00387 m^3[/tex]
Now let's calculate the density of an object when submerged in oil.
The object immersed in oil weighs 273 N. The buoyant force acting is:
F buoyancy = 300 - 273 = 27 N
The buoyant force is same to the weight of oil displaced by the object. So the volume of the object is:
V = m oil / rho oil = F buoyant / g / rho oil
where m oil is the mass of oil displaced by the object, rho oil is the density of the oil, F is the buoyant force acting on the object, and g is the acceleration due to gravity.
Inserting the given value will result in:
V = 27 / 9.81 / rho oil
We know that the volume of this object is 0.00387 [tex]m^3[/tex]. After inserting this value:
0.00387 = 27 / 9.81 / low oil
Solving Rho Oil gives:
Rho oil = 720 kg/
So the object density is:
Raw object = m / V = 300 / 720 =
0.4167/[tex]m^3[/tex]
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A 50 kg student holding a 7 kg backpack rides a 4 kg skateboard down the sidewalk at 3 m/s. What is the total momentum of the student, backpack, and skateboard in units of kg*m/s?.
Answer:
Below
Explanation:
Total mass = ( 50 + 7 + 4) = 61 kg
momentum = m * v
= 61 kg * 3 m/s = 183 kg m/s
A force of 500 N acts on a rocket for 600 s, causing the rocket's velocity to increase. By how much does the rocket's momentum increase?
Please give detailed answer and explanation
Answer:
The change in momentum of an object is equal to the impulse applied to it. Impulse is the product of force and time, or J = FΔt.
In this case, the force acting on the rocket is 500 N, and the time it is applied is 600 s, so the impulse is:
J = FΔt = (500 N) * (600 s) = 300000 Ns
The impulse applied to the rocket causes a change in momentum, which is given by the formula:
Δp = J
So the change in momentum of the rocket is 300000 Ns.
What is constant speed?
Answer:When the speed of an object stays at the same speed
Explanation:
Answer:
•,¸,.·'。◕ ᴗ ◕。'·.,¸,•When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed. constant speed.
A hydraulic system is designed to lift a maximum weight of 10,000 N. If the output piston has a diameter of 10 cm, what should be the diameter of the input piston?
Estimate the difference in oxygen concentration within the plastic across the. wall of the ... rounding the pipe shows that in steady state 0.633!mg of
determine the resultant force that water exerts on the overhang sea wall along abc. the wall is 2 m wide.
The resultant force that water exerts on the overhang sea wall along abc is 179 kN.
What is force?Force is a physical quantity that describes the interaction between two objects, such as a push or a pull. It is defined as any influence that causes an object to undergo a change in motion or deformation. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction.
Component that is horizontal. Because AB is horizontal, there is no horizontal component. The horizontal component of BC's force is.
(Fbc)h =γwhˉA=(1000kg/m3)(9.81m/s2)(1.5m+21(2m))(2m(2m))=98.1(103)N.
Component that is vertical. The weight of the water contained in blocks Abefa and Bcdeb (shown shaded in Fig. a) is equal to the force on AB and the vertical component of the force on BC. Here,
Aabefa=1.5m(2.5m)=3.75m2and
2Abcdeb=(3.5m)(2m)–4π(2m)2=(7–p)m2. Then,
Fab=γwVabefa=(1000kg/m3)(9.81m/s2)[(3.75m2)(2m)] =73.575(103)N=73.6N (FBC)v=γwVbcdeb=(1000kg/m3)(9.81m/s2)[(7–π)m2(2m)] =75.702(103)N
Therefore,
Fbc=(Fbc)²h2+(Fbc)²v2=√[98.1(10³)N]²+[75.702(10³)N]²=123.91(10³)N=124KN
FR² =(Fbc)²H2+[Fab+(Fbc)v]²
==[98.1(10³)N]² + [(73.6(10³)N)²+75.702(10³)N²]
=178.6(10³)N = 179 kN.
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Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 6%, and all stocks have independent firm-specific components with a standard deviation of 54%. Portfolios A and B are both well diversified.Portfolio Beta on M1 Beta on M2 Expected Return (%)A 1.7 2.0 33B 1.9 -0.8 14What is the expected return–beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.)Expected return–beta relationship E(rP) =__ % + ___ βP1 + ___ βP2
Answer:
37%
Explanation:
the % sigh isn't needed only if you need it for the assignment.
what is the net electric potential at the origin due to the circular arc of charge Q1 = +7.21 pC and the two particles of charges Q2 = 4.00Q1 and Q3 = −2.00Q1? The arc's center of curvature is at the origin and its radius is R=2.00 m; the angle indicated is θ=20.0∘
The net electric potential at the origin due to the circular arc of charge Q1, and the two particles of charges Q2 and Q3 can be calculated by using the formula for electric potential due to a point charge:
V = (kQ)/r
Where V is the electric potential, k is the Coulomb's constant (8.99 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance from the point of charge to the point where we want to calculate the electric potential.
For the circular arc of charge Q1, the electric potential at the origin is:
V1 = (kQ1)/R = (8.99 x 10^9 Nm^2/C^2)(7.21 x 10^-12 C)/(2.00 m) = 1.62 x 10^-2 V
For the particle of charge Q2, the electric potential at the origin is:
V2 = (kQ2)/R = (8.99 x 10^9 Nm^2/C^2)(4.00Q1)/(2.00 m) = 4.00V1 = 6.48 x 10^-2 V
For the particle of charge Q3, the electric potential at the origin is:
V3 = (kQ3)/R = (8.99 x 10^9 Nm^2/C^2)(-2.00Q1)/(2.00 m) = -2.00V1 = -3.24 x 10^-2 V
The net electric potential at the origin is the sum of the electric potentials due to each charge:
Vnet = V1 + V2 + V3 = 1.62 x 10^-2 V + 6.48 x 10^-2 V - 3.24 x 10^-2 V
Vnet = 4.86 x 10^-2 V
Therefore, the net electric potential at the origin due to the circular arc of charge Q1 and the two particles of charges Q2 and Q3 is 4.86 x 10^-2 V.
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the two blocks in (figure 1) are connected by a heavy uniform rope with a mass of 4.00 kg . an upward force of 200 n is applied as shown.
The force is an external agent which is capable of changing a body's state of rest or motion. The acceleration due to gravity is 12.5 m/s².
What is force?The push or pull on an object with mass causes it to changes its velocity is defined as the force. The direction towards which the force is applied is called the direction of the force and the application of the force is the point where force is applied.
The SI unit of force is Newton. The equation which connects the force with mass and acceleration is given by:
F = ma
Total mass = 5 + 4 + 7 = 16
a = F / m
= 200 / 16
= 12.5 m/s²
Thus the acceleration of the system is 12.5 m/s².
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. A 1 m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretch the spring from 1 m to 1.2 m
The amount of work required to stretch the spring from 1 m to 1.2 m is 40 J.
The work required to stretch the spring from 1 m to 1.1 m is 10 J.
The work required by spring is given by Hooke's Law,
W = ∫ Fdx
Here, F = kx , where k = spring constant.
W = ∫ kxdx
W = ∫ kxdx, where lower limit = 0 and upper limit = 0.1.
W = k×(x²)/2,
On evaluating the value of k,
k = 2W/0.01
k = 2000
For stretching the string from 1 m to 1.2 m,
W = ∫ kxdx
W = k∫x²/2
On substituting values of x,
W = {2000×[(0.2)² - (0)²]}/2
W = 40 J
Hence, The work required to stretch the spring from 1m to 1.2 m is 40 J.
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A 0.60-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 7.0 N for a distance of 2.0 m. How much farther would the force have to act for the block to have 57 J of kinetic energy?
The distance the block will move to have a kinetic energy of 57 J is 8.14 meters.
What is work?The work is defined as the amount of energy. The work in physics is the product of the force and the displacement.
Given that a 0.60-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 7.0 N for a distance of 2.0 m. The total kinetic energy possessed by the block is 57 J.
The distance will be calculated as:-
W = F x D
W = 7 x 2
W = 14 J
The distance is,
W₁ / W₁ = D₂ / D₁
14 / 57 = 2 / D₂
D₂ = ( 57 x 2 ) / 14
D₂ = 8.14 meters
Therefore, the distance the block will move to have a kinetic energy of 57 J is 8.14 meters.
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A 0.60-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 7.0 N for a distance of 2.0 m. How much farther would the force have to act for the block to have 57 J of kinetic energy?
Answer:
Explanation: Kinetic energy generated = work done by force = force x displacement
= 3 x 7 = 21 J
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1 /B 1 B 1 1/ Q B A A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? R Search listening t... KWFinder: Keywor... A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? Pick the correct answer 0 1 g 2 O 3 o 4 o 5 Submit
The spaceship undergoes an instantaneous change in velocity at point A and then undergoes a continuous change in velocity at point B until it reaches point C. The trajectory of the spaceship is therefore curved and can be represented by one of the given options.
What is Instantaneous Velocity?
Instantaneous velocity is the velocity of an object at a specific moment in time or at a specific point in its motion. It is the limit of the average velocity as the time interval over which it is calculated approaches zero. In other words, it is the slope of the tangent to the position-time graph at a particular point.
To calculate the instantaneous velocity of an object, you need to determine the object's position at a specific moment in time and then take the derivative of the position function with respect to time. The resulting derivative gives you the object's instantaneous velocity at that specific moment in time.
Instantaneous velocity is important in physics and many other fields because it allows us to understand the behavior of objects in motion and to calculate important quantities such as acceleration, momentum, and energy.
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Terry kicks a soccer ball that is sitting motionless on the field. What is the best description of the energy transfer?(1 point).
When Terry kicks a soccer ball that is sitting motionless on the field, the energy transfer that occurs is from Terry's foot to the soccer ball. The transfer of energy can be described as kinetic energy, which is the energy an object possesses due to its motion.
What is kinetic energy?Kinetic energy is the energy that an object possesses due to its motion. It is defined as the energy an object has because of its mass and velocity.
Here,
With the ball being set in motion. This transfer of energy can be described as a transfer of kinetic energy. As the ball moves, it gains kinetic energy, which is the energy an object possesses by virtue of its motion. At the same time, Terry's foot loses kinetic energy. This is due to the conservation of energy, which states that energy can neither be created nor destroyed, only transferred or converted from one form to another. In this case, the energy that was initially in Terry's foot has been transferred to the ball in the form of kinetic energy, causing the ball to move.
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which of the following displays would be best to use for your lab 3 part v requirement since it has the decoder circuitry embedded on itself?
I'm sorry, but I would need more information about the lab 3 part v requirement to provide an accurate answer to this question. Please provide more context or details about the lab and the requirements for part v.
Assuming that autografts and isografts are not possible what is the next most successful graft type and what is the source
The next most successful graft type and what is the source of killer t cells and macrophages energy. if Assuming that autografts and isografts are not possible.
What is the source of macrophage?CCR2− macrophages are largely derived from embryonic progenitors, including contributions from yolk sac macrophages, and are primarily autonomous from blood monocytes. energy, in physics, is the capacity to do work. In contrast, resident cardiac CCR2+ macrophages are derived entirely from definitive HSCs and are replaced slowly by blood monocytes.
Are macrophages in urine?energy is the ability to do work. T cells and macrophages appear in the urine of patients with glomerulonephritis (GN), accompanied by active cellular infiltration such as cellular crescent formation and diffuse interstitial cell infiltration, but not in the urine of patients with GN without the active inflammatory lesions.
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5. A schoolyard teeter-totter with a total length of 5.2 m and a mass of 38 kg is pivoted at its center. A 19kg child sits on one end of the teeter-totterWhere should a parent push vertically downward with a force of 210 N in order to hold the teeter-totter level?
The parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold teeter-totter level.
What is force?Force can be a push or a pull that is always with magnitude and direction.
As, Fp × x - Mg × d - mc × (L - x) = 0
Fp is force applied by the parent, x is distance from the pivot point to the point where the parent applies force, Mg is weight of the teeter-totter, mc is the weight of the child, and L is length of the teeter-totter.
Fp × x - (38 kg × 9.81 m/s²) × 2.6 m - (19 kg × 9.81 m/s²) × (5.2 m - x) = 0
Fp × x - 976.68 N × m - 185.58 N × m + 183.39 N × m = 0
Fp × x = 978.87 N × m
x = 978.87 N × m / Fp
So, x = 978.87 N × m / 210 N = 4.66 m
Therefore, the parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold the teeter-totter level.
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The speed limit on a highway in lower slovakia was given as 120,000 furlongs per fortnight. How many miles per hour is this? one furlong is 1/8 mile and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.
The required speed limit on a highway in lower slovakia is 20,000 furlongs per fortnight. And its value in miles per hour is 44.64 miles per hour.
The speed limit is given as 120000 furlongs per fortnight.
1 furlong is given as 1/8 miles.
120000 furlongs is equal to 120000/8 = 15000 miles per fortnight
Let us convert miles per fortnight to miles per hour.
1 fortnight is known to be 14 days
1 day = 24 hours
14 day = 24 × 14 = 336 hours
15000 miles per fortnight = 15000/336 = 44.64 miles per hour
Thus, 120,000 furlongs per fortnight is nothing but 44.64 miles per hour.
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3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
Answer:
1.73 x 10-7 N
Explanation:
3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
The electrostatic force of attraction between two charges can be calculated using Coulomb's law, which states that the force of attraction is inversely proportional to the square of the distance between them. In this case, the two charges are -5.8 x 10-7C and 3.8 x 10-8C and they are separated by a distance of 4.4 meters. Plugging these values into Coulomb's law, the electrostatic force of attraction is 1.73 x 10-7 N.
A solid object labeled A weighs more than another solid object labeled B. Which of the following are true?
Answer
A occupies more volume than B.
A has a greater weight density than B.
A has a greater specific gravity than B.
A has greater volume but lesser weight density than B.
none of the above.
Answer:
None of the above.
Mass = Mass / Volume * Volume
W(eight) = Mass * 9.80 m/s^2 = Mass * Acceleration due to gravity
One needs to know specific values to make required comparisons.
None of the statements can be determined weighs as true without additional information.
What is the gravitational force?The gravitational force pulls any two things in the cosmos, regardless of whether their masses are equal or not.
The weight of an object depends on its mass and the gravitational force acting on it. Therefore, if two objects have different weights, it does not necessarily mean that one object has a greater volume or weight density than the other.
For example, object A could be made of a denser material than object B, even though it weighs more, so it would occupy less volume. Similarly, object A could have a lower volume but a greater weight density than object B. Specific gravity also depends on the density of the object and the density of the reference material, so it cannot be determined without additional information.
Therefore, none of the statements can be determined as true without additional information.
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A region of space contains a uniform electric figure. Which statement about this situation is field, directed toward the right, as shown in the correct? a. The potential at all three locations is the same. b. The potentials at points A and B are equal, and the potential at point C is higher than the potential at point A c. The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. d. The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest E) There is no measurable potential at any of these points
The right statement for electric field is The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. The correct option to this question is C.
Electric field At a particular area, a uniform magnetic field and an equally uniform electric field act in the same direction. As an electron is projected into the area, it points its velocity in the direction of the fields.The field lines are parallel, uniformly spaced, and straight in an even electric field. Since a line can never begin and end on the same charge, electric field lines can never form closed loops. Always moving from higher potential to lesser potential, these field lines.For more information on electric field kindly visit to
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the following diagrams all show the same star, but each shows a different planet orbiting the star. the diagrams are all scaled the same. (for example, you can think of the tick marks along the line that passes through the sun and connects the nearest and farthest points in the orbit as representing distance in astronomical units (au).) rank the planets from left to right based on their average orbital distance from the star, from longest to shortest. (distances are to scale, but planet and star sizes are not.)
Planets from left to right based on their average orbital distance from the star, from longest to shortest: Planet 3, Planet 1, Planet 2, Planet 4.
What is Planet?Planet is an Earth observation company that operates the world’s largest constellation of Earth-imaging satellites. The company’s satellites capture 3 million square kilometers of Earth’s landmass every day, providing daily global imagery and high-resolution data for analysis. Planet’s data and imagery are used by governments and private businesses in agriculture, conservation, disaster response, energy, finance, news media, and transportation.
Planet’s mission is to image the entire Earth every day and make global change visible, accessible, and actionable. The company’s technologies enable people to monitor and understand the changes taking place across our planet, from natural disasters to deforestation to the effects of climate change.
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The voltage across a disconnected charged plate capacitor increases when the plates are pulled apart
a. True
b. False
Based on the data, what is the relationship between the wave frequency and wave speed?.
C) The speed increases with increasing frequency.
The data shows that as wave frequency increases, wave speed also increases. As the frequency increases, the wave has more energy, so it moves faster.Frequency is a measure of how often something occurs over a period of time. It is usually measured in cycles per second (Hertz) or per minute (cycles per minute). Frequency is used in various fields such as radio, sound, and electromagnetic waves. Wave speed is the speed of a wave as it moves through a medium.Meters per second (m/s) or kilometres per hour (km/h) are the usual units of measurement. This implies that the wave's speed grows together with its frequency.The wave equation is the name given to this relationship.
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complete question:added as picture
What is viscosity ? explain with an example !
Answer:
Viscosity is the state of being thick, sticky, and semifluid, because of friction. A example is honey or syrup.