The spring will stretch beyond its natural length by 1.5 cm when a force of 50 N is applied.
The amount of stretching a spring experiences when a force of 50 N is applied to it is determined by Hooke's Law. According to Hooke's Law, the force applied to the spring and the extension of the spring are proportional. This means that the greater the force applied to the spring, the greater the extension.
Using Hooke's Law, the amount of extension of the spring when a force of 50 N is applied can be calculated using the following formula:
Extension = Force/Spring Constant
Where the spring constant is a measure of how stiff the spring is.
To calculate how far beyond its natural length (in cm) the spring will be stretched when a force of 50 N is applied, we first need to determine the spring constant of the spring in question. This can be done by measuring the natural length of the spring and then measuring how far it stretches with a known force. Once we have determined the spring constant, we can enter it into the formula above and solve for the extension.
For example, if the natural length of the spring is 15 cm and it extends to 18 cm with a force of 50 N, the spring constant would be 33.33 N/cm.
Using this spring constant, the extension of the spring when a force of 50 N is applied would be 1.50 cm
50/33.33 = 1.50.
Therefore, the spring will stretch beyond its natural length by 1.50 or 1.5 cm when a force of 50 N is applied.
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as time passes, water transfers through the water cycle again and again. what happens to the total amount of water on earth?
The total amount of water vapor in the atmosphere remains approximately the same over time.
What is the Water Cycle?The water cycle shows the continuous movement of water within the Earth and atmosphere. It is a complex system that includes many different processes. Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow. Water in different phases moves through the atmosphere (transportation). Liquid water flows across land (runoff), into the ground (infiltration and percolation), and through the ground (groundwater). Groundwater moves into plants (plant uptake) and evaporates from plants into the atmosphere (transpiration). Solid ice and snow can turn directly into gas (sublimation). The opposite can also take place when water vapor becomes solid (deposition).
In conclusion, water continually evaporates, condenses, and precipitates, and on a global basis, evaporation approximately equals precipitation. Because of this equality, the total amount of water vapor in the atmosphere remains approximately the same over time.
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A set of charged plates that have an area of 8.22*10^-4 m^2 and a separation of 2.42*10^-5 m have a potential difference of 25.0 V across them. How much charge is on the plates? (The answer is *10^-9 C. Just fill in the number, not the power.)
Answer: 7.51
Explanation: Acellus
The charges on each plate are acquired is 4.403×10⁻¹⁹ C if the two plates are separated by 2.42×10⁻⁵ m with an area of 8.22×10⁻⁴ m².
What is electric potential?It is defined as the energy required in moving the unit's positive charge from one point to another. It is obtained from the ratio of the charge and distance. The unit of electric potential is Volt(V)
The electric potential between the parallel plates is obtained from the product of the Electric field and the distance of separation between the plates.
From the given,
Area of the plates, A = 8.22×10⁻⁴ m²
Distance of separation (d) = 2.42×10⁻⁵m
Voltage (V) = 25 V
Charge on the plates (Q) =?
The electric potential V = E/d, where E is the electric field and the unit of an electric field is N/C. d is the distance of separation of the plates. The electric field is the ratio of charge and area.
Electric field E = Q/ (A×ε), where A is the area of the parallel plates, and Q is the charge in the conductor. ε is permittivity in free space and is equal to 8.845×10⁻¹²C²/N.m².
The electric potential V = E/d
V = (Q/ (A×ε)) / d
= Q / (A ×ε× d)
Q = V×A×ε× d
= 25×8.22×10⁻⁴×2.42×10⁻⁵×8.845×10⁻¹²
= 4,403 × 10⁻²¹
= 4.4 ×10⁻¹⁹C
The charge accumulated on the plates is 4.4 ×10⁻¹⁹C.
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Four different balls with different masses (measured in grams) were dropped from the same height on Earth. Assuming no other forces acted on the balls, match each ball with the gravitational force (measured in newtons) it experienced as it fell.gravitational force = 9.8 m/s2
We will have the following:
1. 143 g = 0.143 kg:
\(F=(0.143kg)(9.8m/s{}^2)\Rightarrow F=1.4014N\)2. 110 g = 0.110 kg:
\(F=(0.110kg)(9.8m/s^2)\Rightarrow F=1.078N\)3. 410 g = 0.410 kg:
\(F=(0.410kg)(9.8m/s^2)\Rightarrow F=4.018N\)4. 46 g = 0.046 kg:
\(F=(0.046kg)(9.8m/s^2)\Rightarrow F=0.4508N\)From this we can see that the given weights do not correspond to any of the values of column B, since the calculations to obtain the values of column B were done using grams, instead of kg, thus those values do not correspond to the unit of force Newtons.
what is the magnetic force exerted on a 2.15 m length of wire carrying a current of 0.914 a perpendicular to a magnetic field of 0.730 t ?
The magnetic force exerted on the 2.15 m length of wire carrying a current of 0.914 A perpendicular to a magnetic field of 0.730 T is approximately 1.43163 N.
The magnetic force exerted on a wire carrying a current perpendicular to a magnetic field can be calculated using the formula:
F = B * I * L
where F is the magnetic force, B is the magnetic field strength (0.730 T), I is the current (0.914 A), and L is the length of the wire (2.15 m).
F = 0.730 T * 0.914 A * 2.15 m = 1.43163 N
Therefore, the magnetic force exerted on the 2.15 m length of wire carrying a current of 0.914 A perpendicular to a magnetic field of 0.730 T is approximately 1.43163 N.
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If a ray of light in glass is incident on air surface at an angle greater than the critical angle, the ray will:
When a ray of light in glass is incident on an air surface at an angle greater than the critical angle, the ray will undergo total internal reflection.
Total internal reflection occurs when a ray of light traveling through a denser medium, such as glass, reaches the boundary with a less dense medium, such as air, at an angle greater than the critical angle. The critical angle is defined as the angle of incidence at which the refracted angle becomes 90 degrees, meaning the light would refract along the boundary.
However, if the incident angle is greater than the critical angle, no refraction occurs and the light ray is completely reflected back into the denser medium. This phenomenon is called total internal reflection. The angle of incidence at which total internal reflection occurs depends on the refractive indices of the two mediums involved.
Total internal reflection has various practical applications. It is used in fiber optics, where light signals are transmitted through optical fibers by bouncing off the fiber walls via total internal reflection. It is also employed in devices like prisms, binoculars, and periscopes to redirect and manipulate light.
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Whats a recent new discovery made in physics ? please add a link to the study if you can !
Answer:
Heres the link!
Explanation:
https://www.bbc.co.uk/news/science-environment-56491033
Answer:
here's the link you asked for: https://www.nyas.org/ebriefings/the-physics-of-everything/ and here's the info inside the link: During the second quarter of 2016, the Academy hosted a series of evening panel discussions boldly titled "." With grant support from The John Templeton Foundation, the six panels addressed how physics is addressing grand questions and the potential limitations on what we may be able to learn using physics to address those questions.
The first session posed the question "" Three physicists explored the frontiers of cosmology and quantum physics. There may always be limits to our understanding in areas such as string theory, dark matter, and multiverses. But the panelists agreed that it is best to proceed as if explanations based in physics can be found.
The second session asked "" The panelists argued that philosophy has much to offer physics, in contrast to the assertions of some prominent physicists. In such areas as the role of observations in quantum mechanics and the experimental validation of theory, the panelists illustrated the power of a critical, interdisciplinary approach to understanding not only the facts but the significance of physics ideas.
Physics has achieved its success in part by selecting problems that can be addressed by reducing them to simple parts following simple laws. Less amenable subjects were discussed in the third session, "" Biology, ecology, and social phenomena such as cities are all not easily described with simple equations, but still show amazing regularities. The panelists, including two physicists, a philosopher, and a computer scientist, sketched their hopes for unifying principles that explain these regularities.
One complex phenomenon that has so far evaded physical analysis was the topic of the fourth session, "." Two of the panelists, a neuroscientist and a roboticist, did not even regard consciousness as a distinct phenomenon but rather as a byproduct of systems that model themselves. In contrast, a philosopher and a physicist felt that this behavioral description misses something essential about what consciousness "feels like." Both groups expressed hope for experimental tests of their views.
The fifth session addressed the question, "" Recent experimental observations of thousands of planets orbiting other stars bolster the expectation that ours is not the first civilization. The panelists explored how we might look for others and why we have not encountered any yet. One troubling possibility is that civilizations that achieve global scale inevitably encounter challenges such as climate change that they fail to overcome.
The sixth session was entitled "." Two physicists and a computer scientist discussed amazing developments at the intersection of quantum gravity (as manifested in black holes) and quantum information. Trying to reconcile these disparate observations has overturned the traditional view of black holes, with no clear resolution so far. At the same time, an abstract connection between gravitational models and quantum models in one fewer dimension is providing insight into both fields, including new methods for error correction in quantum computing as well as benchtop tests of black hole physics.
The wide ranging discussions of the six panels illustrate the power of physics to explain the universe as well as the vast frontiers of that universe that still remain to be explored.
Explanation:
hope this helped plz give brainliest and rating ^_^
hello, may you please help me
Calculate the percentage of water of crystallisation in Na2CO3•10H2O
Answer:
62.9%. The molar mass of sodium carbonate is 106 grams per mole. Each water molecule adds another 18.0 grams per mole.
what type of triangle measures 8 inches,8 inches,3 inches
Answer:
isoceles
Explanation:
Because two sides are equal
Answer:
An Isosceles triangle
Explanation:
An Isosceles triangle is a triangle where AT LEAST two sides are congruent.
QUESTION 1 Problem 1. (Thermodynamic Equilibrium) Pick all the correct statements about thermodynamic equilibrium a. Thermodynamic equilibrium is a static equilibrium b. Thermodynamic equilibrium is a dynamic equilibrium c. At thermodynamic equilibrium, the energy in each degree of freedom is the same d. At thermodynamic equilibrium, the probability of finding a certain amount of energy is the same in each degree of freedom
The correct statements about thermodynamic equilibrium are:
b. Thermodynamic equilibrium is a dynamic equilibrium.
c. At thermodynamic equilibrium, the energy in each degree of freedom is the same.
Thermodynamic equilibrium refers to the state where all macroscopic properties of a system are uniform and remain unchanged with time. It is characterized by two defining conditions, thermal equilibrium and mechanical equilibrium. Thermal equilibrium refers to a state where temperature throughout the system is the same while mechanical equilibrium refers to the condition where pressure is the same throughout the system.
Therefore, the correct statements about thermodynamic equilibrium are:
b. Thermodynamic equilibrium is a dynamic equilibrium. At thermodynamic equilibrium, the system may be in a steady state, which means that the macroscopic properties of the system are constant with time. This is because even though there are continuous exchanges of energy between the system and the surroundings, the overall system properties remain unchanged.
c. At thermodynamic equilibrium, the energy in each degree of freedom is the same. For each degree of freedom, there is a certain amount of energy that is associated with that degree of freedom. At thermodynamic equilibrium, the total energy of the system is distributed equally among all degrees of freedom. This is because the energy distribution function is dependent only on temperature.d. At thermodynamic equilibrium, the probability of finding a certain amount of energy is the same in each degree of freedom. This is because at thermodynamic equilibrium, the energy distribution function is given by the Boltzmann distribution function, which depends only on temperature.
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Two forces A and B applied together on object C. Force A has an magnitude of 25. 6 and making an angle of 26. 5 degrees with respect to positive x axis. Force B has an magnitude of 99. 7 and making an angle of 32. 2 with respect to negative y axis. What is the magnitude of the net force of A and B on object C?
The magnitude of the net force of A and B on object C which is stated as resultant force is 85.12 N.
The entire force operating on the item or body, combined with the body's direction, is referred to as the resultant force. When the object is at rest or moving at the same speed as the object, the resulting force is zero. Since all forces are acting in the same direction, the combined force should be equal for all forces.
Combining forces applied to the same body component might result in the same outcome. Combining forces with various points of application while maintaining the same effect on the body is not conceivable. By moving the forces to the same point of application and computing the associated torques, a system of forces operating on a rigid body is combined. These forces and torques are added to produce the final force and torque.
We have two forces as,
A = 25.6 sin 26.5 = 11.42
B = 99.7 cos 32.2 = 84.36
R = \(\sqrt{A^2+B^2}\) = \(\sqrt{11.42^2+84.36^2}\) = \(\sqrt{7247.026}\) = 85.12 N
Therefore, the magnitude of force on C is 85.12 N.
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What is 9.14 m/s to m/s squared? Will mark as brainilest
1, = 0.001. 2, = 0.002. 3, = 0.003.
A group of particles of total mass 37 kg has a total kinetic energy of 352 J. The kinetic energy relative to the center of mass is 88 J. What is the speed of the center of mass
The center of mass speed is 2 m/s. The speed of the center of mass of the group of particles is approximately 3.78 m/s.
This means that the total kinetic energy of the particles can be split into two parts: the kinetic energy of the center of mass and the kinetic energy relative to the center of mass.
The total kinetic energy of the particles is given as 352 J, and the kinetic energy relative to the center of mass is given as 88 J. Therefore, the kinetic energy of the center of mass can be calculated as the difference between the total kinetic energy and the kinetic energy relative to the center of mass:
Kinetic energy of the center of mass = Total kinetic energy - Kinetic energy relative to the center of mass
Kinetic energy of the center of mass = 352 J - 88 J
Kinetic energy of the center of mass = 264 J
The kinetic energy of the center of mass can be related to the total mass and the speed of the center of mass using the formula:
Kinetic energy of the center of mass = (1/2) * total mass * (speed of the center of mass)^2
Substituting the given values:
264 J = (1/2) * 37 kg * (speed of the center of mass)^2
Simplifying the equation:
(speed of the center of mass)^2 = (2 * 264 J) / 37 kg
(speed of the center of mass)^2 = 528 J / 37 kg
(speed of the center of mass)^2 = 14.27 m^2/s^2
Taking the square root of both sides:
center of mass = sqrt(14.27 m^2/s^2)
center of mass ≈ 3.78 m/s
The speed of the center of mass of the group of particles is appr 3.78 m/s.
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Will mark the Brainliest :)
But fr please help!!
100+
Answer:
Message me i know the answer
an average velocity will be calculated from the position data by using the change in the position of the glider between subsequent position measurements
To calculate average velocity from position data, you need to find the change in the position of the glider between subsequent position measurements. Here are the steps to calculate average velocity:
1. Determine the initial position of the glider.
2. Measure the position of the glider at different time intervals.
3. Calculate the change in position by subtracting the initial position from the final position.
4. Divide the change in position by the time elapsed between the two measurements.
5. The resulting value is the average velocity of the glider between the two position measurements.
Remember, average velocity is calculated by dividing the change in position by the change in time.
The change in position or displacement (x) divided by the time intervals (t) during which the displacement occurs is the definition of average velocity. The typical speed can be positive or negative contingent on the indication of the removal. The SI unit of normal speed is meters each second (m/s or ms-1).
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Alguien que sepa de electromecánica porfavor
Question 2 (3 points)
Which of the following is the main difference between speed and velocity?
A)There is no difference between speed and velocity.
B)Velocity has both speed and direction.
C)There is no difference between speed and velocity.
D)Speed is constant.
friction between the tire of a moving car and the dry pavement is: A. static B. rolling C. sliding D. riding
Answer:A static
Explanation:
dark energy is the energy associated with the motion of particles of dark matter. dark energy is the energy associated with the motion of particles of dark matter. false true
Dark energy is the energy associated with the motion of particles of dark matter. FALSE
What is dark energy?Dark Energy is a hypothetical form of energy that exerts a negative, repulsive pressure, behaving like the opposite of gravity.
Another definition of dark energy is as follows; it is a hypothetical form of energy that produces a force that opposes gravity and is thought to be the cause of the accelerating expansion of the universe.
The force of gravity which force from dark energy opposes is given as;
F = Gm₁m₂/R²
where;
F is the force of gravityG is universal gravitation constantm₁ is mass of the first objectm₂ is the mass of the second objectR is the distance between the two massesThus, the force of gravity which is being opposed by the force produced by the dark energy is directly proportional to the mass of two objects in the universe and inversely proportional to the square of the distance between the two objects.
So the given statement is FALSE.
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How deep is the floor of the ocean if a sonar sound takes 7 seconds to return back to the ship?
A 5 kg object is dropped from rest in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The magnitude of the resisting force is 1 N when the magnitude of the velocity is 2 m/s. Find the velocity v(t) of the object at any time t>0, and find its terminal velocity.
The velocity v(t) of the object at any time t>0 is given by v(t) = (2/3)t^(-1/2) m/s, and its terminal velocity is 0 m/s.
When an object is dropped in a medium that exerts a resistive force proportional to the square of the speed, we can use Newton's second law of motion to analyze its motion. The resistive force acting on the object can be written as Fr = -kv^2, where Fr is the resistive force, v is the velocity of the object, and k is a constant of proportionality.
In this case, we are given that the magnitude of the resisting force is 1 N when the magnitude of the velocity is 2 m/s. We can use this information to find the value of k. Plugging the given values into the equation, we have 1 = -k(2^2), which gives us k = 1/4.
To find the velocity v(t) of the object at any time t>0, we need to solve the differential equation that relates the acceleration to the velocity. We know that the acceleration a(t) is given by Newton's second law, which can be written as ma = -kv^2. Since the mass of the object is 5 kg, we have 5a = -k(v^2). Rearranging the equation, we get a = -(k/5)(v^2). Since acceleration is the derivative of velocity with respect to time, we have dv/dt = -(k/5)(v^2).
This is a separable differential equation that can be solved by separating the variables and integrating. We can rewrite the equation as v^(-2)dv = -(k/5)dt. Integrating both sides gives us ∫v^(-2)dv = -∫(k/5)dt. Simplifying, we have (-1/v) = -(k/5)t + C, where C is the constant of integration.
To find the value of C, we can use the initial condition that the velocity is 2 m/s at t = 0. Substituting these values into the equation, we have (-1/2) = 0 + C, which gives us C = -1/2.
Substituting the value of k = 1/4 and the value of C = -1/2 into the equation (-1/v) = -(k/5)t + C, we get (-1/v) = -(1/20)t - 1/2. Solving for v, we have v(t) = (2/3)t^(-1/2) m/s.
The terminal velocity is the maximum velocity that the object can reach, where the resistive force equals the gravitational force. In this case, when the object reaches terminal velocity, the net force acting on it is zero. Therefore, the magnitude of the gravitational force mg is equal to the magnitude of the resistive force Fr. We can write this as mg = kv^2, where m is the mass of the object, g is the acceleration due to gravity, and v is the terminal velocity.
In this problem, the mass of the object is 5 kg, and we can take the acceleration due to gravity as 9.8 m/s^2. Using the value of k = 1/4, we can solve for the terminal velocity. Substituting the values into the equation, we have 5(9.8) = (1/4)(v^2). Solving for v, we get v = 0 m/s.
The differential equation dv/dt = -(k/5)(v^2) can be solved by separating the variables and integrating both sides. The constant of integration can be determined using the initial condition. The terminal velocity is the maximum velocity reached when the resistive force equals the gravitational force acting on the object. In this case, the object's terminal velocity is 0 m/s, indicating that the resistive force completely balances the gravitational force, resulting in no further acceleration.
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Which statement is true about magnetic poles? Question 20 options: all magnets have two poles Any magnet can have two north poles. Any magnet has only one pole. Any magnet can have two south poles.
Every magnet consists of two poles one is the south pole other one is the north pole. All magnets have two poles. This statement is correct.
What are magnetic poles?The area at either end of a magnet where the external magnetic field is strongest is known as a magnetic pole.
Every magnet consists of two poles one is the south pole other one is the north pole like poles attracts each other while unlike poles repel each other.
Hence option (a) is correct. All magnets have two poles.
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which scenario is an example of a scientific way of thinking?
Answer:
A example of a scientific way of thinking is making observations, forming questions, making hypotheses, doing an experiment, analyzing the data, and forming a conclusion.
Gravity, inertia, momentum, kinetic energy and centrifugal force are all _______ forces a driver must deal with.
Answer:
Natural Forces
Well gee, you got me there, dude.
Gravity is a force that a driver doesn't much have to worry about. Inertia, momentum, and kinetic energy are not forces, and centrifugal force doesn't exist.
A dentist wants a small mirror that, when 2.20 cm from a tooth, will produce a 4.5 x upright image. What kind of mirror must be used and what must its radius of curvature be?
Given that a dentist wants a small mirror that, when 2.20 cm from a tooth, will produce a 4.5 x upright image.
magnification = -4.5
The image formed is upright, therefore magnification is negative.
m = -v/p [magnification formula]
Where
v is the image distance
p is the object distance
Here the image formed is virtual and upright so the image distance is negative.
So,
v = - 2.20 cm,
m = -4.5
Hence, magnification is,
m = -v/p
4.5 = 2.20/p
p = 2.20/4.5
≈ 0.488 cm
Now, Using mirror formula;
1/f = 1/v + 1/p
1/f = -1/2.20 + 1/0.488
= -0.4545 + 2.0492
= 1.5947m
f = 1/1.5947m
≈ 0.626 cm
The radius of curvature for the concave mirror is negative and is
R = 2f
≈ 2 × 0.626 cm
= 1.252 cm
Therefore, the mirror used is a concave mirror and its radius of curvature is 1.252 cm.
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the speed of light in empty space is approximately 300,000km/s. how many seconds would it take a pulse of light at this speed to get from the earth to the moon? assume that the distance from the earth to the moon is 384,400 km. choose the closest answer:
Answer:
Below
Explanation:
384 400 km / 300 000 km/s = 1.28 seconds
freight trains can produce only relatively small accelerations and decelerations. consider a freight train starting with an initial velocity of v0 m/s and accelerating (speeding up) at a rate of a m/s2 to gain a final velocity v in t minutes. (a) draw a sketch showing the direction of the initial velocity v0, final velocity v,
A freight train with an initial velocity of v0 m/s accelerates at a rate of a m/s² to reach a final velocity v in t minutes. (a) In a sketch, the initial velocity v0 and the final velocity v will have the same direction, indicating that the train is speeding up.
In this scenario, the sketch would depict an arrow representing the initial velocity v0 pointing in a certain direction, and an arrow representing the final velocity v, also pointing in the same direction. This indicates that the train is accelerating, increasing its velocity over time.
The direction of the arrows indicates the direction of motion. If the initial velocity v0 is in the positive direction (e.g., to the right), then the final velocity v would also be in the same positive direction. This indicates that the train is speeding up in the same direction as its initial motion.
The acceleration rate a determines how quickly the train's velocity increases. If a is positive, the train is accelerating in the same direction as its initial motion. If a is negative, the train is decelerating or slowing down. The time t represents the duration of the acceleration process.
Overall, the sketch visually represents the concept of a freight train starting with an initial velocity and accelerating to reach a higher final velocity in a given amount of time.
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How do i calculate the net force of the following question.Plz answer correctly
An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons.
A)Determine the net force acting on the object and
mass=30 force=50
(a) 50÷30
because we don't have acceleration which is known as m/s2 that stands for meter per seconds square . Hope this help pls follow thank youWhat is your average resting heart rate?
Answer:
from 60 to 100.
Explanation:
Normal heart rates at rest: Children ages 6 - 15 70 – 100
Adults (age 18 and over) 60 – 100
when the winding current of question 3 flows in the winding, what is the magnetomotive force (mmf) across the center leg air gap? express your answer in amperes (a), with an accuracy of \pm 0.5\%±0.5%
To determine the magnetomotive force (mmf) across the center leg air gap when the winding current of question 3 flows in the winding, we need more information. Specifically, we need the value of the winding current in amperes. Once we have that information, we can calculate the mmf across the center leg air gap.
To calculate the magnetomotive force (mmf) across the center leg air gap when the winding current of question 3 flows, we require the value of the winding current in amperes. The mmf is directly proportional to the current passing through the winding. With this information, we can accurately determine the mmf.
However, without the specific value of the winding current, we cannot provide an exact answer. It is crucial to obtain the precise current value to calculate the mmf accurately. Once the current is known, the mmf can be expressed in amperes with the specified accuracy of ±0.5%. It is recommended to consult the relevant data or measurements to determine the actual value of the winding current and subsequently calculate the mmf across the center leg air gap.
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if you were given a rock sample and told it contained 200 atoms and three half-lives had passed how much of the daughter isotope would you have? How much of the parent isotope?
After three half-lives, 1/8 (or 0.125) of the parent isotope remains. Thus, 0.125 times the parent atoms. The daughter isotope would be equivalent to the remaining parent isotope, 0.125 times the original number of parent atoms.
After three half-lives, the parent isotope has exponentially decayed, forming the daughter isotope. Each half-life reduces the parent isotope by half and increases the daughter isotope. Three half-lives have passed, reducing the parent isotope to 1/8 of its initial level. The rock sample would have 1/8 of the parent isotope.
The daughter isotope would have accumulated during decay. After three half-lives, the daughter isotope would have reached 3/8 of the parent isotope as each half-life creates one-half of it. After three half-lives, the rock sample would have 1/8 of the parent isotope and 3/8 of the daughter.
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