The population proportion, sometimes referred to as sampling distribution mean of p is a statistic of central tendency that expresses the average value of a group of sample proportions.
The formula for the mean of the sampling distribution mean of p is given by:
μp = p
where "p" is the population proportion. This formula states that the mean of the sampling distribution of p is equal to the population proportion. This is known as the "Law of Large Numbers" which states that as the sample size increases, the sample proportion will become closer to the population proportion.
It is important to note that this formula assumes that the population is large, and the sample is random and taken from the population, so that the sample proportion will serve well for an approximate value of p.
This formula is also based on the assumption that the sample is large enough that the Central Limit Theorem applies, which states that the sampling distribution is estimated to be normal despite population distribution shape.
In summary, the formula for the mean of the sampling distribution of p is μp = p. It states that the mean of the sampling distribution of p is equal to the population proportion. This formula is based on the assumptions that the population is large, the sample is random and large enough, and the Central Limit Theorem applies.
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Find the density of a box that has a mass of 22 g and a volume of 45 cm3.
What is rate Change example?.
The term "rate of change" refers to the pace at which one quantity changes in respect to another. Rate of Change = Change of Y = Change of X = Change of Distance = Change of Time = 1608042=802=401.
How would one define pace of change?How rapidly something changes over time is referred to as its rate of change, or ROC. Therefore, rather than the size of each change individually, it is the rate—or the acceleration or slowdown of changes. In finance, rate of change is employed to comprehend price returns and spot trend momentum.
A line's slope, rise over run, or change in over change in represent the rate of change for that line. A table's two points or a graph's slope triangle can be used to compute the slope.
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A small plane can travel at 200km/h in still air. If a 50km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed (N).
Object 1 has a charge of -2. 3 x 10-6 c and object 2 has a charge of -4. 2 x 10-6 c. Calculate the electrostatic force between the two objects if they are 0. 099 m apart.
According to the question,the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.
What is the electrostatic ?Electrostatic is a branch of physics that deals with the study of electric charges at rest. It focuses on the forces that are generated between particles that are charged due to the presence of electrical fields. It is also known as the study of static electricity. Electrostatic studies the behavior of charged objects in an electric field, and the forces exerted on them.
The electrostatic force between two objects can be calculated using Coulomb's law which states that the force between two objects is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Using this law, the electrostatic force between object 1 and object 2 can be calculated using the following equation:
F = (kQ1Q2)/d2
Where k is the Coulomb's constant (8.99 x 109 N.m2/C2), Q1 and Q2 are the charges of objects 1 and 2, respectively, and d is the distance between the two objects.
In this case, the force between the two objects is:
F = (8.99 x 109 N.m2/C2)(-2.3 x 10-6 C)(-4.2 x 10-6 C)/(0.099 m)2
F = -1.35 x 10-4 N
Therefore, the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.
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What is the kinetic energy of a 45 kg object moving at 13 m sec?.
The Kinetic Energy for any of the object is 3802.5 J.
An object's kinetic energy grows as its mass does. The speed of the object is given by v. The relationship shown above shows that the kinetic energy of an item is directly proportional to the product of its mass and velocity.
Possible justification: Because of the strong relationship between kinetic energy and speed, an object's kinetic energy rises as its speed rises. Kinetic energy and speed have a nonlinear (square) proportional relationship (KE v2). 1.
The kinetic energy of an item increases by a factor of four as its speed doubles. 2. The kinetic energy of the object decreases by a factor of 4 as the object's speed is halved.
Here consider 45 kg = mass
v= 13 m/s
Here Kinetic Energy = ?
KE = 1/2mv^2
KE = 1/2(45)(13)^2
KE = 1/2(45)(169)
KE = 1/2(7605)
KE = 7605/2
KE = 3802.5 J
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The graph shows the speed of a person riding a bicycle through a city. Which point (A, B, or C) on the graph is a place where the bicycle has speed but no acceleration? How do you know?
Answer:
Point C
Explanation:
At point c, he is moving at constant velocity.
change in velocity is zero, this acceleration is zero.
Why is momentum zero?.
Because momentum is a vector, a system's total momentum might be 0 if there are numerous masses. A system comprising two objects having the same amount of momentum and travelling directly toward one another, for example, will have a total momentum of zero.
What is momentum?Momentum is defined as a body's amount of motion. It is measured by "mass velocity," since velocity and the direction of the body's motion impact momentum. Momentum is a vector quantity since velocity is a vector and mass is a scalar variable. Momentum is defined as the product of mass and velocity. Because all objects have mass, they have momentum as they move - their mass is in motion. Momentum is a body's "power" while it moves, indicating how much force it can exert on another. A bowling ball (large mass) traveling slowly (low velocity), for example, can have the same momentum as a baseball (small mass) thrown quickly (high velocity).
Here,
Because momentum is a vector, the overall momentum of a system might be 0 if there are numerous masses. A system consisting of two objects having the same amount of momentum and travelling in the same direction, for example, will have a total momentum of zero.
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What is the resultant velocity vector when you add your swimming velocity and the current velocity?.
The sum of an object's individual vector velocities is its final velocity. The scalar product of an object's mass and its acceleration vector is equal to the sum of its vector forces.
How is the resulting vector determined?Formula 2: To get the resultant vector, subtract vectors moving in opposite directions from one another. R is the resulting vector because the vector B moves in the opposite direction of the vector A in this case.
How are two velocity vectors added?As a result, we can directly use the equations v tot = v x 2 + v y 2 and v tot = v x 2 + v y 2 to perform the addition of the two velocities.
What is the formula for velocity vector?Definition: Velocity. The velocity vector is the derivative of the position vector if r(t) is a differentiable vector-valued function that represents the particle's position vector at time t. v(t)=r′(t)=x′(t)ˆi+y′(t)ˆj+z′(t)ˆk.
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An object is dropped from a 42 m tall building. How long does it take to
reach the ground?
2.9 s
8.7 s
9.3 s
11.7 s
Answer:
2.9s
Explanation:
When object was dropped from some height, it displacement
h=v_i t+(at^2)/2=(gt^2)/2
So
t=√(2h/g)=√((2×42)/9.8)=2.9 s
To lift a transformer straight up from the floor to a truck bed located 1.30 m above the floor requires 180 J of work. What is the weight of the transformer?
The weight of the transformer is 138.46 N.
How to calculate weight?Weight can be calculated by dividing workdone by height
To calculate the weight of the transformer, we use the formula below.
Formula:
W = E/h................... Equation 1Where:
W = Weight of the transformerE = Work done to lift the transformer from the floor = 180 Jh = Height at which the transformer was lifted = 1.3 mSubstitute these values into equation 1
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What is magnitude of a vector minus B vector?.
The magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another.
Vector Subtraction MagnitudeThe magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another. If you would like to find the difference between two vectors, you can subtract their components (x,y,z) individually.
Also you can find the distance between them by doing vector subtraction and then finding the magnitude of the resultant vector.
To describe the difference between two vectors A and B, you can subtract their individual components. For example, if vector A has components (x1, y1, z1) and vector B has components (x2, y2, z2), the difference between the two vectors would be described by the following:
(x1 - x2, y1 - y2, z1 - z2)
This resulting vector is often referred as A-B.
Alternatively, you can also find the distance between two vectors A and B by taking the Euclidean distance between their tail points, which is the square root of the sum of the squares of the differences of the x, y, and z components. This is known as the magnitude of the vector A-B.
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PT 1
The arm of a crane at a construction site is
20.0 m long, and it makes an angle of 15.0* with the horizontal. Assume that the maximum load the crane can handle is limited
by the amount of torque the load produces
around the base of the arm.
What maximum torque can the crane withstand if the maximum load the crane can handle is 864 N?
Answer in units of N.
PT 2
What is the maximum load for this crane at
an angle of 29.2* with the horizontal?
Answer in units of N.
(a) The maximum torque the crane can withstand is 16,691.2 N m.
(b) The maximum load of the crane is 956.1 N.
What is the maximum torque the crane withstand
The maximum torque the crane can withstand if the maximum load the crane can handle is 864 N is calculated as follows;
τ = rF x cosθ
where;
r is the length of the arm of the craneF is the load the crane can handleθ is the angle of inclination of the crane armThe maximum torque the crane can withstand is calculated as follows;
τ = 20 m x 864 N x cos (15)
τ = 16,691.2 Nm
The maximum load of the crane is calculated as follows;
F = τ / rcosθ
F = ( 16691.2 ) / ( 20 x cos 29.2 )
F = 956.1 N
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In quantum computing, what is the basic unit of information?
The qubit, as opposed to the traditional bit, serves as the fundamental unit of information in quantum computing. This alternative system's key feature is that it allows for the coherent juxtaposition of ones and zeros.
What constitutes a quantum computer's fundamental unit?A quantum bit, or qubit, is the binary digits or bit in classical computing's quantum counterpart. A qubit is the fundamental informational building block of a quantum computer, just as a bit is in a classical one.
What makes quantum information so crucial?Making better descisions is made possible by quantum computing's ability to process massive amounts of data, as shown in applications like fraud detection, facial recognition, and object recognition.
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What is the angular momentum vector in an orbital motion Mcq?.
Angular momentum is a vector quantity whose direction is perpendicular to the plane of revolution.
What is angular momentum?Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. An object's angular momentum is the product of its rotational inertia and angular velocity. The angular velocity of an object is the rate at which it turns.
Here,
Angular momentum is a vector quantity with a perpendicular direction to the plane of revolution.
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What will be the cross product of the vectors 2i 3j K and 3i 2j k?.
The vectors 2i+3j+k and 3i+2j+k have a cross product of i+j-5k.
The cross product of two vectors in three dimensions is a binary operation. The result is a vector that is perpendicular to both vectors. The two vectors a and b are combined to form the symbol A B.
There are two vectors: 3i+2j+k and 2i+3j+k.
Finding the cross product of two separate vectors is required.
i(3×1 -2×1) -j(2×1 -3×1)+k(2×2-3×3)
= i(3-2)-j (2-3) +k (4-9) (4-9)
=i+j-5k
Any two vectors' cross product will always show how far apart they are from one another in a given direction. cross product of two vectors, always in three dimensions. Any two or three vectors can be crossed to always produce a vector.
The result of two vectors is therefore =i+j-5k.
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Correct Question:
What will be the cross product of the vectors 2i + 3j + k and 3i + 2j + k?
What is the power of a hairdryer with a current of 4a and a resistance of 60 ohms? include units in your answer.
The power of a hairdryer with a current of 4A and a resistance of 60Ω is 240W (watts).
What is resistance?Resistance is the opposition to the flow of electric current or the process of slowing down the flow of electric current. It occurs when electrons collide with atoms in a conductor, such as a wire. Resistance is measured in ohms and is determined by a material's electrical properties, like its cross-sectional area, length and type. Resistance can be used to control the amount of current in a circuit. It can also be used to convert electrical energy into thermal energy.
This is calculated by multiplying the current (4A) by the voltage (V = I x R, so V = 4A x 60Ω = 240V) and then multiplying the voltage by the current (240V x 4A = 240W). The power of a hairdryer is measured in watts and is the rate at which energy is used by the appliance. The higher the wattage, the more powerful the hairdryer will be.
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530) a grating with 1555 lines/cm is illuminated with light of wavelength 565 nm. what is the highest order number that can be observed with this grating?
(hint: sin theta can never be greater than 1 for a diffraction grating)
The highest order number that can be observed with a grating is determined by the equation:
mλ = d(sin θ + sin θi)
where m is the order number, λ is the wavelength of light, d is the spacing between the lines on the grating, θ is the angle of incidence, and θi is the angle of diffraction.
Given that the grating has 1555 lines/cm, and the wavelength of light is 565 nm, we can use this equation to find the highest order number:
mλ = d(sin θ + sin θi)
m = d / λ
m = 1555 lines/cm / (565 nm/1cm)
m = 2.76
The highest order number that can be observed with this grating is 2.76. It's noteworthy that the order number is a positive number and it will not be a whole number, this means that it's not possible to observe the order number exactly 2.76 but it's the highest possible number that can be observed.
Answer:
11
Explanation above
Two charged objects are held 1 meter apart from each other. Then they are moved to 3 meters apart. How are the electrostatic force and gravitational force between them affected by this move?.
If two charged objects are moved from being one meter apart to being 3 meters apart. Electrostatic force and gravitational force will be weak.
If the distance between two charged objects is doubled and the magnitude of one charge is doubled, what happens to the force between the two?The square of the distance between the two charges has a negative square root effect on the force's magnitude. The attraction or repulsion therefore weakens and drops to one-fourth of its initial value when the distance between the two charges is doubled.
According to Coulomb's law, the force exerted by two charged particles is directly proportional to the sum of their charges and inversely proportional to their distance from one another. As a result, doubling the distance would result in a 4-fold reduction in force.
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A hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magni- tude g/4. After time interval At, a crew member releases a ballast sandbag from the basket attached to the balloon. How many seconds does it take the sandbag to reach the ground?
The time it takes for the sandbag to reach the ground would depend on the height from which it was released.
To find out how long it takes for the sandbag to reach the ground, we can use the equation of motion for a vertically falling object under the influence of gravity:
s = v0*t + (1/2)gt^2
where s is the distance fallen, v0 is the initial velocity (which is 0 m/s for the sandbag), t is the time elapsed, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
We know that the sandbag is being released from the balloon and has an upward acceleration of g/4. So, the equation of motion becomes
s = v0t + (1/2)(g - g/4)*t^2
We also know that s is the distance fallen to the ground, which we can take as the final distance.
Now solving the equation for t
t = sqrt(2*s/(g-g/4))
It is given that the magnitude of the upward acceleration is g/4, so (g-g/4) = 3g/4, so the final equation becomes
t = sqrt(2*s/(3g/4))
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Hanna wants to calculate the terminal velocity of a typical meteorite just before it hits Earth. She researches meteorites at the
library and on the internet. What information does she need to find? (1 point)
O a typical meteorite's weight, surface area, and coefficient of drag; air density close to Earth
O a typical meteorite's surface area and coefficient of drag; air density close to Earth
O a typical meteorite's mass and average velocity
O a typical meteorite's weight, surface area, and coefficient of drag
After then, the meteorite accelerates quickly to achieve its terminal speed, which is between 200 and 400 miles per hour (90 to 180 meters per second).
How do astronomers determine the origin of a meteorite that reaches Earth?The meteorite then swiftly reaches its final velocity, which is between 200 and 400 miles per hour (90 to 180 meters per second). The terminal velocity is the speed at which the acceleration caused by gravity is precisely cancelled out by the deceleration caused by atmospheric drag.
Researchers first classify the sort of rock in their investigation before dating the meteorite to ascertain its origin. Nakhla indicated that it originated 1.3 billion years ago, a significant amount of time after the majority of other meteorites, which date from the Solar system's creation, 4.56 billion years ago.
Meteorites are priced and sold by the gram because they are so rare. Price is influenced by a number of factors, including demand, scarcity, supply, specimen size, specimen quality, and preparation effort. The average cost per gram of a common iron meteorite is between US$0.50 and US$5.00.
Therefore, the correct answer is option d) a typical meteorite's weight, surface area, and coefficient of drag.
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Three charge are poitioned on the corner of a rectangle a hown with charge Q1 = -5. 6 μC, Q2 = 3. 4 μC, and q = -3. 1 μC. The ide length of the rectangle are a = 3 cm and b = 4 cm. Ù
The moving charge from point A to point B, the electric force that has done work is 2.08 J.
The work done by the electric force exchanges with the amount of charge transferred and exchanges with the potential difference between the starting and destination points.
To complete the task, we must find out the potentials at nodes A and B. Then we can calculate the electric potential energy of the charge Q 3 in these places. The work done by the electric force by moving the charge from A to B is equal to the difference in the electric potential energy.
To answer this question, we use the following formula:
W = Q3 (Q1-Q2)/4πε₀ (1/a - 1/b)
Numerical substitution:
Q3 = -3. 1 μC = -3.1 x 10⁻⁶C
Q1 = -5.6 μC = -5.6 x 10⁻⁶C
Q2 = 3.4 μC = 3.4 x 10⁻⁶C
a = 3 cm = 3 x 10⁻² m
b = 4 cm = 4 x 10⁻² m
ε₀ = 8.85 x 10 ⁻¹² C²N⁻¹m⁻² (from the table)
W = Q3 (Q1-Q2)/4πε₀ (1/a - 1/b)
W = -3.1 x 10⁻⁶C (-5.6 x 10⁻⁶C - 3.4 x 10⁻⁶C)/4π8.85 x 10 ⁻¹² (1/0.03 - 1/0.04)
W = -3.1 x 10⁻⁶C (-9 x10⁻⁶C)/4π8.85 x 10 ⁻¹² (1/0.03 - 1/0.04)
W = 27.9 x 10⁻¹² C/4π8.85 x 10⁻¹² (8,3)
W = 27.9 x 10⁻¹² C/111,25 x 10⁻¹² (8,3)
W = 0,25 x 8,3
W = 2.08 J
Thus, moving the charge from point A to point B, the electric force that has done work is 2.08 J.
Your question is incomplete but most probably your full question was:
Three charges are positioned on the corner of a rectangle shown with charge Q1 = -5.6 μC, Q2 = 3.4 μC, and q = -3.1 μC. The side lengths of the rectangle are a = 3 cm and b = 4 cm. How much work must be done by the electric force to move charge Q3 diagonally from point A to point B?
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Identify whether or not the following are systems of power and meaning that anthropologists study through intensive fieldwork and the observation of people 's everyday lives . a. Anthropologist Study i. Religious ii . Racial and ethnic iii. Gender and sexuality iv. Socioeconomic and political b. Anthropologist Do Not Study
iv. Socioeconomic and political whether or not the following are systems of power and meaning that anthropologists study through intensive fieldwork and the observation of people 's everyday lives
Why does ethnography have application in daily life?A subculture or group that has a common culture is the subject of ethnographic study, with the goal of creating detailed and comprehensive descriptions of the community. When doing an ethnographic study, the researcher will watch the group, describe, and then analyse the ingrained patterns.
The fundamental benefit of ethnography is that it allows the researcher to see a group's customs and culture up close. It is an effective strategy for learning firsthand about the behaviours and interactions of individuals in a certain setting.
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Is melting point an intensive or extensive physical property?
Answer: Answer below :)
Explanation:
No, it is an intensive property: the melting (and boiling) point of water does not change with the amount of water
A cessna 172 plane that is used to transport up to four vip's is 2 km in the air. If the potential energy of the vip plane with three vip's onboard is 860 j, what is the combined mass of the cessna and passengers?.
The combined mass of the Cessna and passengers is 44.9 kg.
What is mass?The quantity of matter in an object is expressed in terms of mass. It is typically measured in kilograms or grams, though other units such as pounds or ounces can also be used. Mass is distinct from weight, which is a measure of the force of gravity acting on an object. Mass is an inherent property of an object and does not depend on the environment or gravity, while weight is affected by gravity and can change depending on location.
The combined mass of the Cessna and passengers can be found by using the equation for potential energy, PE = mgh, where m is the combined mass, g is the h is the height, g is the gravitational acceleration. Rearranging the equation to solve for m, we get m = PE/gh. Plugging in the given values, we get m = 860 J/(2 km x 9.8 m/s2), which equals 44.9 kg. Therefore, the combined mass of the Cessna and passengers is 44.9 kg.
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Why does momentum never change?.
The conservation of momentum principle states that the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but only changed by the action of forces as described by Newton's laws of motion.
What is momentum?The quantity of motion of the body is defined as momentum. It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Momentum can be thought of as a body's "power" when it is moving, indicating how much force it can exert on another body. A bowling ball (large mass) moving slowly (low velocity), for example, can have the same momentum as a baseball (small mass) thrown quickly (high velocity).
Here,
According to the conservation of momentum principle, the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but is only changed by the action of forces as described by Newton's laws of motion.
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How is maximum torque calculated?.
Torque is calculated using the following formula: Torque = (3*EMF2)/ (4*pi*Synchronous Speed*Reactance). When the rotor rotates at its fastest speed, the maximum running torque occurs.
It achieves mathematical equivalence between rotor reactance per phase and rotor resistance per phase. Torque is spelled with the letter T. This scenario is conceivable if the value of the denominator shown below equals zero. The maximum torque is thus produced when, while the motor is running, the rotor reactance per phase is equal to the rotor resistance per phase. When the value of sX 20 = R 2 is entered, equation (1) is transformed into the equation for maximum torque. The rotor's stationary reactance and maximum torque are inversely connected.
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What methods can be used to demonstrate thermal energy transfers?.
Conduction, and radiation are the two mechanisms through which thermal energy is transferred. Conduction is the process of transferring heat energy from molecules in close proximity to one another.
Conduction is the method through which heat is transferred through solids without the actual particles moving. Convection is the process of heat transfer in fluids (liquids and gases) accompanied by actual particle movement.
Basically, heat transmission takes place when a body's temperature rises and falls. Three mechanisms, namely conduction, convection, and radiation, may be used to transport heat from one body to another. We need to understand the three ways that energy is transferred: convection, radiation, and conduction.
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how big across is ceres, one of the biggest asteroids
Ceres has a radius of 476 kilometers, which is 1/13 the radius of Earth. If the Earth were the size of a nickel, Ceres would be the size of a poppy.
What is CeresCeres is the dwarf planet in the inner solar system. Ceres is a rock-and-ice object with a diameter of 950 km and is the smallest dwarf planet ever discovered. Ceres' mass is one-third the mass of the asteroid belt between the orbits of Mars and Jupiter. Ceres was discovered by the Italian astronomer Giuseppe Piazzi on January 1, 1801 and was classified as an asteroid at the time, but it was the first asteroid discovered.
As a planet, On August 24, 2006, the International Astronomical Union (IAU) decided to change Ceres to a "dwarf planet" along with Pluto, Sedna, and Makemake in the Kuiper belt.
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a ___ is a device that converts electrical energy into a linear force.
A solenoid is a device that converts electrical energy into a linear mechanical force.
How do linear solenoids function?With the assist of a plunger with an axial stroke which may move in either a push or a pull motion, linear solenoids transmit electrical energy into mechanical power. These transducers are composed of a coil of wire that is occasionally coiled around an iron core, and when a voltage is applied, it creates a magnetic field.
What triggers a magnetic field to be established by a solenoid?A long coil of wire with various turns is what constitutes a solenoid. It develops an internal magnetic field that is almost perfectly uniform when a current flows through it. Solenoids are widely applied as switches because they can transfer electric current into mechanical action. A solenoid's magnetic field is directly proportional to the product of the current that flows through the solenoid and the voltage applied to it. The product of the currents flowing around a solenoid and the number of spins per unit length of the solenoid generates the magnetic field in the core of the solenoid.
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A ___ is a device that converts electrical energy into a linear mechanical force.
What is the weight of 50 kg object on Earth with 9. 8 m s2 gravitational field strength?.
The weight of the object of mass 50 kg on Earth is 490 N.
The amount of substance contained in a thing is defined as its mass. The kilogram is its SI unit (kg). The amount of force with which an object is attracted by the earth is defined as its weight. The SI unit of weight is Newton(N).
We have:
Mass of object (m)
m = 10 kg.
Gravitational acceleration on earth (g) = 9.8m/s²
Weight(W)= mg N
⇒ W = 50 kg × 9.8 m/s²
⇒ W = 490 N
Therefore, the weight of the object of mass 50 kg on earth is 490 N.
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