Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.
(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.
(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.
2:
(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.
(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.
(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.
Explanation:
What is tbe change in gravitational potential energy of the apple if it falls the amount shown
Answer: 1.72J
Explanation:
hope this helps :)
PLEASE HELP WILL GIVE BRAINLIEST!3. Given a bronze wire of length 2.5 m and cross sectional area 6.5 x 10-⁷ m². What is the elongation of the wire if it is stretched under a force of 10³ N? Given: Young modulus of bronze is 2.0 x 10-¹¹N/m².
Answer:
The elongation of the wire is approximately 4.81 x 10-³ m.
Explanation:
To find the elongation of the wire, we can use the formula:
Elongation = (Force * Length) / (Young Modulus * Cross Sectional Area)
Plugging in the given values, we have:
Elongation = (10³ N * 2.5 m) / (2.0 x 10-¹¹ N/m² * 6.5 x 10-⁷ m²)
We can simplify this to:
Elongation = (2500 N * 2.5 m) / (2.0 x 10-¹¹ N/m² * 6.5 x 10-⁷ m²)
Which simplifies to:
Elongation = (625 x 10-⁸ m³) / (1.3 x 10-¹¹ m³)
Simplifying further, we have:
Elongation = 4.81 x 10-³ m
Therefore, the elongation of the wire is approximately 4.81 x 10-³ m.
It's important to note that this is an approximate value, as the actual elongation may depend on various factors such as the temperature and the specific properties of the wire.
A motorcycle being driven on a dirt path hits a rock. Its 50-kg cyclist is projected over the handlebars at 15 m/s into a haystack. If the cyclist is brought to rest in 0. 5 second, the magnitude of the average force exerted on the cyclist by the haystack is.
The magnitude of the average force is -1.5×10³ N.
What is force?
A force is any action that seeks to preserve, modify, or deform a body's motion.
We know,
The magnitude of the average force is:
F = m(v-u)/t
F = Average force
m = mass of the cyclist
v = Final velocity
u = Initial velocity
t = time.
Putting values into the formula
F = 50(0-10)/0.5
F = -1500 N
F = -1.5×10³ N
The negative sign is the force act against the motion of the cyclist.
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1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the symbol of the new atom?
4. What type of decay is demonstrated here?
1. The atomic mass of the new atom be 243. Hence, Option (e) is correct.
2. The atomic number of the new atom be 94. Hence, Option (f) is correct.
3. The symbol of the new atom be Pu. Hence, Option (h) is correct.
4. Alpha decay is demonstrated here. Hence, Option (i) is correct.
What is Alpha decay?A type of radioactive decay known as "alpha decay" occurs when an atomic nucleus emits an alpha particle as it changes or decays into a new atomic nucleus. Here, the newly produced atom will have a four-less atomic mass number and a two-less atomic number. A helium nucleus is another name for the alpha particle that was released. The alpha particles have a positive charge and a sizeable mass.
Ernest Rutherford investigated how radiation is deflected through a magnetic field to distinguish alpha decay from other types of radiation. Given that the particles carry a +2e charge, the alpha decay would deflect a positive charge.
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question how does the gravitational field gx at the surface of planet x compare with the gravitational field gy at the surface of planet y?
The gravitational field gx at the surface of planet x (M/m)(r/R)² times the gravitational field gy at the surface of planet y.
What is gravitational field?A gravitational field, as defined by physics, is the influence a massive body has on the area surrounding it, exerting a force on another huge body. In other words, a gravitational field, which is measured in newtons per kilograms (N/kg), aids in the explanation of gravitational field.
Now, Let planet x has mass M and radius R: then gravitational field at the surface of planet: gₓ = GM/R².
Let planet y has mass m and radius r: then gravitational field at the surface of planet: [tex]g_y[/tex] = Gm/r².
Hence, gₓ/[tex]g_y[/tex] = (M/m)(r/R)².
So, the gravitational field gx at the surface of planet x (M/m)(r/R)² times the gravitational field gy at the surface of planet y.
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1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the symbol of the new atom?
4. What type of decay is demonstrated here?
1. The atomic mass of the new atom be 223. Option (d) is correct.
2. The atomic number of the new atom be 88. Option (g) is correct.
3. The symbol of the new atom be Ra. Option (e) is correct.
4. Beta decay is demonstrated here. Option (c) is correct.
What is Beta decay?A proton inside the radioactive sample's nucleus can change into a neutron or vice versa through a process known as beta decay. Because of processes like beta decay and alpha decay, the radioactive sample's nucleus is able to get as close as practical to the optimum neutron/proton ratio.
A beta particle, which can either be an electron or a positron, is released by the nucleus during this process. Think about the potential for a proton or neutron to decay into another particle. The production of the electron and positron adheres to the law of charge conservation. Beta-decay is the outcome of weak interaction.
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what is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other?
I understand your question and E=0.0693J is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other.
What is magnetic field?The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field.Solution:to find the energy do as follows.
E=K 1 +K 2=0.5mv 12 +0.5mv 22 =0.5m(v 12+v 22 )
E=0.5(1.1)(0.323^2+(-0.147)^2)=0.0693J.E=0.5(1.1)(0.3232 +(−0.147)2)
E=0.0693J.
Hence, E=0.0693J is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other.
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The complete question is ;
10-kg carts on a low-friction track are rigged with magnets so that the carts repel each other when they approach each other. One cart has an initial velocity of +0.323 m/s, and the other has an initial velocity of -0.147 m/s.
What is the maximum energy stored in the magnetic field during the collision, assuming that the carts never touch each other?
if an external factor is the motivating force to reach a goal, it falls into the theoretical category of being:
Theoretically, extrinsic motivation is what occurs when an external factor serves as the driving force behind the pursuit of a goal.
Extrinsic motivation: what is it?If an individual is motivated on rewards or other elements, such like praise, fame, or money, this is known as extrinsic motivation. Unlike intrinsic motivation, this kind of motivation is not motivated by internal causes. One example of an extrinsic motivation is receiving payment for completing a task.
The significance of extrinsic motivation:Extrinsic motivation is significant because it can be a useful tool for changing behavior. People are usually motivated to behave in particular desirable ways when there is a chance of receiving awards or sanctions from outside sources.
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PLEASEEEE HELPPP WORTH 100 POINTS!!
Answer:
it is a heterogeneous mixture
Explanation:
because it ha s a smooth consistancy and not a thick one.
A particle is moving along the x axis such that its position is given by x² =3t²-16t+8. What are the velocity and acceleration of the particle at t = 4s? At what time is the particle stationary?
Answer:
Below
Explanation:
Usually, position is given by x(t) =.......
if x^2 = 3t^2 - 16t+ 8 then
x = ( 3t^2 - 16t + 8)^1/2 ( I do not think this is what you want....but it IS what was posted)
Velocity will be given by the derivative : (3t-8) / ( 3t^2-16t+ 8)^1/2
at t = 4 this equals an imaginary number....
so I think your question equation is incorrect
The answer above this one used x(t) = 3t^2-16t+8 as the position function and is likely the correct way to do it
then velocity = dx/dt = 6t-16 at t = 4 this is 8
the particle is stationary when this = 0 at t = 16/6 = 2.67 s (NOT 4s as posted in the other 'verified' answer !!!!!)
Acceleration = dv/dt = 6
at t= 4 the velocity would be 8 units/s
and the accel would be 6 units/s^2
and when v= 0 would occur at t = 2.67 s
how will the image change if you move the lens closer or further from the lightbulb? how will you have to move the paper to keep the lightbulb in focus?
The image will still get progressively smaller as we pull the object more and more away. The focal point will draw the image's location ever-closer.
What is the name for a focal point?The focal point or point of focus on the axis of the a lens or mirror where parallel light rays converge or appear to split after refraction or reflection.
How is a focal point created?Contrast can be used by an artist to establish focal points in the following methods: 1) Value—A focus point will naturally develop in the area where there is the greatest disparity between light and dark. 2) Form—If a composition of geometric squares added a circle, the circle would be composition's main point.
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a car with the windows rolled down is traveling north on a road at a speed of 23.0 m/s. a police car, traveling south at a speed of 38.0 m/s, approaches with its siren producing sound at a frequency of 2400 hz. (enter your answers in hz. assume that the speed of sound in air is 343 m/s.) (a) what frequency does the driver of the car observe as the police car approaches? (enter your answer to the nearest integer.) hz (b) what frequency does the driver of the car detect after the police car passes her? hz (c) repeat parts (a) and (b) for the case when the police car is traveling northbound. while police car overtakes hz after police car passes hz
a) The frequency that the driver of the car observes as the police car approaches is calculated by using the Doppler effect.
The frequency of the sound wave is increased as the source of the sound (the police car) approaches the observer (the driver of the car). The frequency observed by the driver of the car is given by:
f_observed = f_source * (v_source + v_observer) / (v_source - v_observer)
Substituting the given values, we get:
f_observed = 2400 * (38 + 23) / (38 - 23) = 4860 Hz (to the nearest integer).
b) The frequency of the sound wave is decreased as the source of the sound (the police car) moves away from the observer (the driver of the car). The frequency observed by the driver of the car is given by:
f_observed = f_source * (v_source - v_observer) / (v_source + v_observer)
Substituting the given values, we get:
f_observed = 2400 * (38 - 23) / (38 + 23) = 1380 Hz (to the nearest integer).
c)The frequency of the sound wave is decreased as the source of the sound (the police car) approaches the observer (the driver of the car). The frequency observed by the driver of the car is given by:
f_observed = f_source * (v_source - v_observer) / (v_source + v_observer)
Substituting the given values, we get:
f_observed = 2400 * (38 - 23) / (38 + 23) = 1380 Hz (to the nearest integer).
The frequency of the sound wave is increased as the source of the sound (the police car) moves away from the observer (the driver of the car). The frequency observed by the driver of the car is given by:
f_observed = f_source * (v_source + v_observer) / (v_source - v_observer)
Substituting the given values, we get:
f_observed = 2400 * (38 + 23) / (38 - 23) = 4860 Hz (to the nearest integer).
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A 312 kg boulder is pulled with a rope across a field by a strong man. If the man uses a force of 2,472 N to cause the boulder to accelerate across the field. The coefficient of friction is 0.50. How fast does the strong man accelerate the boulder?
Most substances do what as temperature increases
Most substances expands when temperature increases.
What happens to substances as temperature increases?At low temperatures, most substances are solids. When the temperature rises, it becomes a liquid. At higher temperatures it becomes gaseous. The process by which a solid becomes a liquid is called melting (an old term you sometimes come across is fusion).
Thermal energy is added to a material during heating. As a result, its particles accelerate and its temperature rises. The loss of thermal energy that occurs during cooling results in a decrease in temperature and slower particle motion in the cooled material. When a substance's temperature rises, its molecules expand because they have more energy and are moving faster and further apart. When a material is heated, the molecules absorb energy. The inter-molecular connections between molecules are first disrupted.
So, most substances expands when temperature increases.
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The complete question is as follows:
What most substances do as temperature increases?
scientists have recently discovered one the smallest stars on record. how long will this star last compared to a larger star formed at the same time?
Due to its lower fuel consumption, the smaller star will live longer than that of the larger star.
Who are physics scientists?A physicist is a professional who focuses on the science of physics, which includes all of the interactions between matter and energy in the material world at all time and spatial scales. His discovery of law of the photovoltaic effect, which was a crucial step in the evolution of quantum theory, earned him the 1921 Newbery Medal.
How do scientists work?A scientist is somebody who methodically acquires data and uses it to form hypotheses, test those assumptions, and further knowledge and understanding. A scientist's methodology, such as the use of numbers (statisticians) or data, can also be used to further characterize them (data scientists).
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Question 58
Which of the following numbers correctly express "thirty two micro meter" in scientific notation?
3.2 x 10-7 m
3.2 x 10-6 m
C) 3.2 x 10.⁹ m
3.2 x 10-8 m
3.2 x 10-5 m
In scientific notation "thirty two micro meter" can be expressed as 3.2 x 10^-5 m.
What is a micrometer?Micrometer, often known as micron, is a unit of length in the metric system equal to 0.001 mm, or roughly 0.000039 inch. m is its symbol.
The micrometer is frequently used to gauge the size of small items like colloidal particles and bacteria. Micrometers are also used to describe extremely small distances, like the infrared radiation's wavelengths.
So, 1 micrometer = 10^-6 meter.
∴ thirty two micrometer = 32 × 10^-6 meter = 3.2 × 10^-5 meter.
Hence, in scientific notation "thirty two micro meter" can be expressed as 3.2 x 10^-5 m.
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Max is moving boxes in his house from one room to another. Max has
two different floor surfaces in his house, one carpeted and the other wood
floor. What can you correctly conclude about moving the boxes in Max's
house?
A.The boxes will slide more easily on the carpeted floor due to lower friction.
B.The boxes will slide more easily on the wood floor due to higher friction.
C. The boxes will slide more easily on the wood floor due to lower friction
D.The boxes will slide more easily on the carpeted floor due to higher friction.
The conclusion about moving the boxes in Max's house is as follows: The boxes will slide more easily on the carpeted floor due to lower friction (option A).
What is friction?Friction is the force that resists the relative motion or tendency to such motion of two bodies in contact.
According to this question, Max is moving boxes in his house from one room to another. Max has two different floor surfaces in his house, one carpeted and the other wood floor.
The carpeted floor will have a lesser friction than the wooden floor when moving the object. This makes it easier to move the boxes on the carpeted floor.
Therefore, option A is correct.
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A skateboarder travelling at 9.5 m/s starts to travel up the side of a half pipe. Calculate the maximun height the skateboarder can reach.
The maximum height the skateboard can reach is is 4.6 m.
What is height?Height is the vertical distance between two points.
To calculate the maximum height the skateboard can reach, we use the formula below.
Formula:
h = v²/2g......................... Equation 1Where:
h = Maximum heightv = Velocityg = acceleration due to gravityFrom the question,
Given:
v = 9.5 m/sg = 9.8 m/s²Substitute these values into equation 1
h = (9.5²)/(9.8×2)h = 4.6 mHence, the maximum height is 4.6 m.
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an electron travels with velocity in a region where the magnetic field is t. what is the force on the electron?
An electron experiences a force of constant magnitude that is always pointed perpendicular to its velocity since the force is F=qvB in a constant magnetic field. The electron will move in a circular orbit.
What is a Magnetic field?Magnetic fields surround permanent magnets and current-carrying conductors because of the movement of electrical charge.
What is an Electron?A negatively charged subatomic particle known as an electron can either be free or attached to an atom. One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons. The nucleus of an atom is made up of electrons, protons, and neutrons together.
Hence, an electron experiences a force of constant magnitude that is always pointed perpendicular to its velocity since the force is F=qvB in a constant magnetic field. The electron will move in a circular orbit.
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what is the difference between speed and velocity? what is the difference between speed and velocity? velocity contains information about the direction of motion while speed does not. speed is an average quantity while velocity is not. the concept of speed applies only to objects that are neither speeding up nor slowing down, while velocity applies to every kind of motion. speed is measured in mph, while velocity is measured in m/s.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
In other terms, the distance that an object travels in a unit of time is referred to as its speed. It merely takes into account the magnitude of the object and ignores its orientation. Speed is referred to as a scalar quantity. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. It is a vector quantity. Speed is a scalar measure of "how quickly an object is moving." The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance relatively quickly. A slow-moving object with a low speed, on the other hand, travels a relatively little distance in the same length of time. Zero speed refers to an object that is not moving at all. When evaluating the velocity of an item, one must retain track of direction. It wouldn't be sufficient to merely state that something moves at 80 km/h. To fully define an object's velocity, direction information must be included. For instance, 80 km/h reflects the speed of a car travelling along a road, while 80 km/h east shows the speed of the car.
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can you help me with this puzzle with a decoder ring
BDONC,ZVP has to be all lower case
solve today's free puzzle, you will need your Morse Code Decoder Ring from last week. This puzzle is a list of words that are related in some way. Can you decode them all and figure out their relationship?
This puzzle would be great for kids 8 and older. If you need help constructing the decoder, click here.
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what should have happened to the grand unified force as the universe expanded and cooled at an age about
Grand unified force thermodynamically isolated its internal energy as the universe expanded and cooled at an age about.
The universe's evolution has been split into eras by cosmologists and astronomers.The Planck Era was followed by the Grand Unified Theory Era, which is the third stage of the evolution of the universe.Every era saw significant changes, so it is crucial to investigate what transpired there.Between 10-43 seconds and 10-35 seconds, the Grand Unified Theory Era took place. Such a brief period of time. This brief period of time is hard to imagine.Light has not yet been created in this era. Because of certain circumstances, such as high temperature and high pressure, particles and molecules still cannot bind.To learn about universe's evolution-
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what is the resonance frequency if the capacitor value is doubled and, at the same time, the inductor value is halved?
The resonance frequency will remain the same if the capacitor value is doubled and, at the same time, the inductor value is halved.
The resonant frequency is a term used to describe the oscillation of a system at its natural or unforced resonance.
In an LC circuit, the resonance frequency can be determined by the following equation;
ω = 1 / √LC
Here L represents the inductor value and C illustrates the value of the capacitance.
If the capacitance is doubled, C'=2C, and the inductance is halved, L'=L/2, then;
ω = 1 / √L'C'
ω = 1 / √(L/2) × (2C) = 1 / √LC = ω
Therefore the frequency of resonance is equal to the original value.
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A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with variable speed and from a variable vertical position and a fixed horizontal position x=0.
The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot’s sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y=H and speed v0, they consistently land on the ground on a target that is at a position x=D. Positive directions for vector quantities are indicated in the figure.
When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=H2. However, the spheres may be launched at speed v0 or 2v0.
Question: In a clear response that may also contain diagrams and/or equations, describe which speed, v0 or 2v0, the students should launch the sphere at so that they earn the maximum number of points in the competition.
Free fall motion is motion in which the only force acting on the body is gravity.
What is free fall motion?A free-falling object is one that moves only due to the effect of gravity, and its motion is defined by Newton's second law of motion. We can use algebra to calculate the acceleration of a free-falling particle.
The student should launch the sphere at 2v₀, for the sphere will land at approximately 1.41D, which is in the 3 point zone
The given parameter are;
The distance covered by the sphere when launched at height, H = D
The velocity with which the ball reaches D = v₀
The current available height of launcher= H/2
The available velocities = v₀, and 2v₀
Now,
From H = ut + (1/2)gt², where, initial velocity of the vertical motion of the ball, u = 0
we know;
H = (1/2)gt²
Therefore, the time it takes the ball to drop from H, t = √(2H/g)
The distance, D = v₀ × √(2H/g)
When the height is H/2, we get;
t = √(2H/(2g)) = √(H/g)
Thus, the distance covered, D₁ = v₀ × √(H/g)
Therefore, D = (√2) × v₀ × √(H/g) = (√(2))D₁
Now, D₁ = D/(√2) ≈ 0.71D
D₁ ≈ 0.71D
At speed 2v₀, we have;
D₂ = 2v₀ × √(H/g) = √2 × v2 × v₀ × √(H/g) = √2 × v₀ × √(2H/g) = √2D₁ ≈ 1.41D
D₂ ≈ 1.41D
The 2 point zone = D/2 < x < D = 0.5D < x < D (Position D₁ ≈ 0.71D is located here)
The 3 Point Zone = D < x < 3D/2 = D < x < 1.5D (Position D₂ ≈ 1.41D is located here)
Given that at D₂, the ball lands in the 3 Point Zone, the student should launch the sphere at the speed, 2v₀, so that the ball will land at D₂ ≈ 1.41D, which is in the 3 Point Zone
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The complete question is as follows:
A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with variable speed and from a variable vertical position and a fixed horizontal position x=0.
The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot’s sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y=H and speed v0, they consistently land on the ground on a target that is at a position x=D. Positive directions for vector quantities are indicated in the figure.
When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y=H2. However, the spheres may be launched at speed v0 or 2v0.
Question: In a clear response that may also contain diagrams and/or equations, describe which speed, v0 or 2v0, the students should launch the sphere at so that they earn the maximum number of points in the competition.
Do you think it is harder for architects (people who design buildings) to protect structures against internal or external forces? Why?
Gravity is the attraction that things have for one another, like the powerful pull that the Earth has on the things that are on it.The "pull-apart" force is tension.The "push-together" force is compression.
Why are external factors significant?Because they can have both direct and indirect influence on business operations, employees, and revenue, external environment considerations are significant.
What external forces are at work on the building?The environment outside usually exerts external stresses on the structure.The building is subjected to external loads from dead, living things, snow, wind, and earthquakes.In the majority of cases, it is simple to identify the source of the these external demands.
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1. Paxton's mom tells him that he might legally be an adult, but he is psychologically still very much a child. How is this MOST likely demonstrated in Paxton's life?
O
He has the right to vote and to buy lottery tickets.
He whines when he is asked to help with chores.
He lacks the ability to reproduce human life.
He didn't grow any body hair during puberty.
When asked to assist with tasks that MOST likely occurred in Paxton's life, he complains.
What is a another word for demonstrated?Demonstrate is often used interchangeably with the words prove, evince, manifest, and display. Demonstrate suggests demonstrating through action or just by displaying feelings whereas all these terms mean "one reveal openly or make evident." They applauded vociferously to show their approval.
What is a demonstrated experience?Whenever listing "Demonstrated Experience" on your resume, be sure to include the following information: (1) Whenever a skill was used, (2) Where it was used, (3) For how long, (4) How it was used, (5) Your interactions with other people while using the skill, and (6) The project's topic.
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A 2 kg bird falls from a 15 m high tree. How fast is the bird falling right before it hits the ground?
Why is the milky way galaxy not expanding together with the rest of the universe?.
Answer:
Local gravity dominates over the expansion of the universe.
Explanation:
(The expansion of the universe is a relatively weak force acting throughout the universe).
explain why you cannot feel the force of gravitation between all objects
Answer:
Even your pencil and a piece of paper attract one another. You can't feel this force because the masses of the pencil and paper are so small. Even you exert a gravitational force on other objects. Because your mass is so much less than the mass of the Earth, you can't feel your gravitational force.
In simple word gravitational force is directly proportional to weight of and objects and indirectly proportional to distance.
F=G(m1 x m2) /r^2
F = force
G = gravitational constant
m_1 = mass of object 1
m_2 = mass of object 2
r = distance between centers of the masses
a toroidal inductor with an inductance of 91.0 mh encloses a volume of 0.0200 m3. if the average energy density in the toroid is 55.0 j/m3, what is the current through the inductor?
When a toroidal inductor with an inductance of 91.0 mh encloses a volume of 0.02m^3 then the current through the inductor is calculated as 4.91 A.
What is inductance?The tendency of an electrical conductor to oppose change in the electric current flowing through it is called inductance.
As we know, the magnetic energy stored in the toroid is;
U = 1/2 * L i²
Here, L -- inductance and i -- current
Average energy density, u = B²/2μ
U = u V
Here V is volume, = 0.02 m^3
Given L = 91.0 mH; u= 55.0 j/m3 and V= 0.02 m^3
i = √2u V/L
= √ 2* 55 * 0.02 /91 *10^-3
Current, i = 4.91 A
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