When a solenoid with an self-inductance L carries a current described by i(t)=I0sin(60πt), the equation that describes the EMF induced in the coil is ε=−60πLI0cos(60πt).The EMF, ε (V) generated in the solenoid with an self-inductance L and a current described by i(t)=I0sin(60πt) is given by the equationε=−L(d/dt)(I0sin(60πt))
Explanation:
1. The given current is i(t) = I0sin(60πt).
2. To find the EMF induced in the coil, we need to calculate the time derivative of the current, di/dt.
3. Differentiate i(t) with respect to time: di/dt = 60πI0cos(60πt).
4. The formula for the induced EMF in a solenoid is ε = -L(di/dt).
5. Plug in the values: ε = -L(60πI0cos(60πt)).
So, the correct answer is d. ε=−60πLI0cos(60πt).
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PLEASE ANSWER ILL GIVE YOU BRAIN!!!!
Answer:
I think the first two one is 70 the second on is 14
I hope this helps if I’m wrong I’m sorry
Explanation:
How is speed different from velocity?
Answer:Speed is the time rate at which an object is moving along a path
Velocity is the rate and direction of an object's movement.
Explanation:
Hope it helps
13. When you say that something is a factor, you mean that it is an) (factor)
a. problem.
b. obstacle.
c. ingredient.
d. fact
Answer:
C.
A factor of something is an ingredient, or it makes up that thing. For example, in math, we always try to find the factors of a number. We are basically trying to find the "ingredients" of a number.
what are the uses of X-rays.
Explanation:
id : 237 514 2470
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Explain why the total positive charge in every atom of an element is always the
same.
Answer:
When an atom has an equal number of electrons and protons, it has an equal number of negative electric charges (the electrons) and positive electric charges (the protons). The total electric charge of the atom is therefore zero and the atom is said to be neutral.
Explanation:
An atom has an equal quantity of positive and negative electric charges (the protons and electrons) when its electron and proton counts are equal (the protons). Since the atom has a total electric charge of zero, it is referred regarded as being neutral.
What is an atom?The atom is the smallest unit of matter that may be divided without resulting in electrically charged particles. Additionally, it is the tiniest substance with features like chemical elements. The atom is therefore the basic building block of chemistry.
Examine different electron arrangements in the electron shells that surround an atom's nucleus.
Examine different electron arrangements in the electron shells that surround an atom's nucleus. The rest is made up of a cloud of negatively charged electrons surrounding a positively charged nucleus made up of protons and neutrons. Compared to electrons, which are the lightest charged particles in nature, the nucleus is small and dense.
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(b) The cylinder shown in figure 2 is fitted with a freely sliding piston containing an ideal gas of mass 13g and volume 1.0×10⁴ cm⁵ . The tempreture of the gas is 25°C and it is initially at atmospheric pressure.
(i) The gas is heated to a Tempreture of 400°C . what is the new volume of the gas?
Answer:
22600 cm³ (3 s.f.)
Explanation:
Please see the attached picture for the full solution.
Question 5
Calculate the kinetic energy of a car (m - 800 kg) moving at 15 m/s. Write your answer to the nearest whole number in the blank space
provided. Only write the numerical value of the answer without units. Do not leave any space in between numbers.
Answer: Joules
Answer:
90,000Explanation:
\(m =800kg\\v = 15\\\\K.E = \frac{1}{2}mv^2\\ K.E= \frac{1}{2} \times 800\times 15^2\\= 400 \times 225\\= 90000 joules\\= 90 kilojoules\)
A lens with f = 35.0 cm is held
42.0 cm from an object. Where
does the image form?
Answer: 210 cm
Explanation:
Look up Thin Lens Equations Calculator- it helps!
10 20 30 40 50 60 70 80 90 100 110 120 130. Which end of the scale (left or right) has the loudest sounds?
Answer:
I'm From Philippines
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A 40-kg girl is running through the supermarket and jumps onto a stationary shopping cart full of groceries that has a total mass of 80-kg. They roll away together at speed of m/s. How fast must she have been running before the collision
According to the question, 80 m/s fast must she have been running before the collision.
What is collision?Collision is a situation that occurs when two objects or particles interact in such a way that they come into contact with each other, resulting in a change in their motion. Collisions can be elastic, inelastic or partially inelastic.
The girl's momentum before the collision was equal to her mass (40 kg) multiplied by her velocity (v). The momentum of the shopping cart and groceries before the collision was equal to its mass (80 kg) multiplied by its velocity (0 m/s). Since momentum is conserved in this collision, the total momentum before and after the collision must be equal.
Therefore, 40v + 0 = 40v + 80(m/s).
Solving for v, we get v = 80 m/s. This means that the girl must have been running at a speed of 80 m/s before the collision in order for the shopping cart and groceries to roll away together at a speed of m/s.
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energy released in a chemical reaction comes from ?
how mny hours does it takes you to travel by foot from australia to fiji
Answer:
About 22 hours in flight time.
Explanation:
It wouldn't give me the walking time.
Hope I helped ya.
< Sarah >
Answer:
Hmm idk u was tryna take the trip or sum
Explanation:
An owl has a mass of 4.00 kg. It dives to catch a mouse, losing 800.00 J of its GPE. What was the starting height of the owl, in meters?
Answer:
height =20m
Explanation:
gpe=mgh
800=4×10×x
40x=800
x=20
A moving van with a stone lightly glued to the midpoint of its ceiling smoothly moves at constant velocity. When the glue gives way, the stone falls and hits the floor:
a. ahead of the midpoint of the ceiling
b. exactly below the midpoint of the ceiling
c. behind the midpoint of the ceiling
d. none of the above
A moving van smoothly travels at constant speed with a stone softly affixed to the center of its roof ( velocity). When the glue fails, the stone tumbles to the ground and lands precisely below the ceiling's middle.
In physics, what is velocity?In terms of physics, velocity is a vector measure of the motion's direction and speed. The shift that occurs in an object's position relative to a reference point and time is a more precise definition of velocity.
Does speed mean velocities?Why is it wrong to use the phrases velocity and speed interchangeably? It is clear why. Velocity, as opposed to speed, refers to the pace and direction of the an object's movement as it moves down a path.
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Durante su práctica un atleta recorre en línea recta una distancia de 900m en un tiempo de 170 segundos. ¿Cuál fue su rapidez promedio?
Answer:
Velocidad promedio = 5.29 m/s
Explanation:
Dados los siguientes datos;
Distancia = 900 m
Tiempo = 170 segundos
Para encontrar la velocidad media;
La velocidad se puede definir como la distancia recorrida por unidad de tiempo. La velocidad es una cantidad escalar y, como tal, tiene magnitud pero no dirección.
Matemáticamente, la velocidad viene dada por la fórmula;
\( Velocidad = \frac{distancia}{tiempo}\)
Sustituyendo en la fórmula anterior;
\( Velocidad = \frac{900}{170}\)
Velocidad = 5.29 m/s
Por lo tanto, la velocidad promedio del automóvil es 5.29 metros por segundo.
if length of a wire is doubled keeping the diameter constant ,its young modulus of elasticity will?
i) increases
ii)decreases
iii)remains same
iv)depends on nature of matter
Answer:
Explanation:
Young's modulus is the property of the material and it does not depend upon the length or the area of the cross-section.
Hence, The most correct answer will be option (iii) but youngs modulus also depends upon the nature of the matter if you have to answer multiple option then (iii) and (iv) both are correct. If you have to answer only single option then go for option (iii).
Let's say we find a star that is located on the points or circles in the sky listed in the answer choices below. Then, on the same night, we move to a location on Earth that is some significant distance from our first location. There will now be a different star at or on: A. the celestial north pole B. the zenith C. the celestial equator D. the celestial south pole E. all of the above
A star that is located on the points or circles in the sky listed in the the celestial equator.So option C is correct.
If we find a star that is located on the celestial north pole, celestial equator, or celestial south pole, and then move to a different location on Earth, the star that was initially on the celestial north pole will no longer be on the celestial north pole. Similarly, the star that was initially on the celestial south pole will no longer be on the celestial south pole. However, the star that was initially on the celestial equator will still be on the celestial equator, regardless of the change in location on Earth.Therefore option c is correct.
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learning goal: to understand the role of friction in a state of equilibrium. a chair weighing 70.0 n rests on a level floor that is not frictionless. a man pushes on the chair with a force f
Given details :
Weight of chair W = 70 NForce P = 39 NAngle = 38°1.Force equilibrium in x direction
∑ \(F{x}\) = 0
F - 39 cos Ф = 0
As Ф = 38°
F = 39 cos38°
F = 30.73 N
Force equilibrium in y direction
∑ \(F{y}\) = 0
N = W + P sin38°
= 70 + 39 sin38°
N = 93.79 N
Thus the normal force on chair = 93.79 N
From the free body diagram
F = μN
30.73 = μ x 93.79
μ = 30.73 / 93.79 = 0.32
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The motor of an elevator puts out 1,135 W of power. What is the mass of the elevator in kg if it lifts 104 m in 58 s at a constant speed? Assume g= 9.80 m/s2.
Power is the rate at which work is done. The unit of power is the watt (W), which is equal to one joule per second (J/s).Given: Power output, P = 1135 W Distance traveled, d = 104 m Time taken, t = 58 s Acceleration due to gravity, g = 9.80 m/s²To find:
Power, P = Work done / Time taken We know that Power, P = Force x Velocity We know that Velocity, v = Distance / Time We know that Work done, W = Force x Distance We know that Force, F = m x g By combining the above equations, we get Power, P = Force x Velocity => P = (m x g) x (d / t)Work done.
P = Work done / Time taken => P = (m x g x d) / t Solving for mass, m we getm = (P x t) / (g x d)Substituting the values, we getm \(= (1135 W x 58 s) / (9.8 m/s² x 104 m\))Therefore, the mass of the elevator is 594 kg approximately. Hence, the mass of the elevator is 594 kg approximately, and the answer is more than 100 words.
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g What is the self-inductance of an ideal solenoid that is 300 cm long with a cross-sectional area of 1.00 × 10-4 m2 and has 1000 turns of wire? (μ0 = 4π × 10-7 T ∙ m/A)
To calculate the self-inductance of an ideal solenoid, you can use the formula:
L = (μ₀ * N² * A) / l
where L is the self-inductance, μ₀ is the permeability of free space (4π × 10⁻⁷ T∙m/A), N is the number of turns of wire, A is the cross-sectional area, and l is the length of the solenoid.
Given the values in your question:
N = 1000 turns
A = 1.00 × 10⁻⁴ m²
l = 300 cm = 3 m (converted to meters)
Now, plug the values into the formula:
L = (4π × 10⁻⁷ T∙m/A * (1000)² * 1.00 × 10⁻⁴ m²) / 3 m
L ≈ 4.19 × 10⁻⁴ H
So, the self-inductance of the ideal solenoid is approximately 4.19 × 10⁻⁴ H (henrys).
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The work per unit charge required to move a charge between two points in an electric circuit defines electric
A) force
B) Power
C) field strength
D) potential difference
The work per unit charge required to move a charge between two points in an electric circuit electric potential difference. The right option is D) potential difference
What is electric potential difference?Potential difference can be defined as the work done in moving a unit charge from one point to another in an electric field. The S.I unit of potential difference is volts (V).
From the question,
Force: is the product of mass and acceleration Power: This is the rate at which work is done.Field strength: This is the force per unit charge in a field.Potential difference: This is the work done in moving a unit charge from one point to another in a field.Hence, from the above, the right option is D) Potential difference
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If the screen was 30 cm behind the fish, what was the distance spanned by the diffraction spot as it moved back and forth? The screen was in the tank with the fish, so that the entire path of the laser was in water and tissue with an index of refraction close to that of water. The properties of the diffraction pattern were thus determined by the wavelength in water.
Express your answer with the appropriate units
To determine the distance spanned by the diffraction spot, we need to consider the properties of the diffraction pattern and the given information.
Given:
- The screen is 30 cm behind the fish.
- The entire path of the laser, including the water and tissue, has an index of refraction close to that of water.
- The properties of the diffraction pattern are determined by the wavelength in water.
Since the diffraction pattern is formed by the interaction of light waves with obstacles or apertures, the spot's size or spread depends on factors such as the wavelength of light and the size of the aperture.
Without specific information about the wavelength or aperture size, it is not possible to determine the exact distance spanned by the diffraction spot. Additional details regarding the specific setup or measurements would be necessary to calculate or estimate the distance spanned by the diffraction spot.
Please provide further information or clarify the parameters related to the diffraction setup if you require a more specific answer.
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Why do you think there are several types of vegetation in the Arab world
According to the information, we can infer that the presence of several types of vegetation in the Arab world can be attributed to factors such as diverse climate conditions, varying topography, and historical human activities.
Why do you think there are several types of vegetation in the Arab world?The presence of diverse vegetation in the Arab world can be explained by various factors. Firstly, the region's wide range of climate conditions and topography contributes to the growth and distribution of different plant species. Factors such as moisture, temperature, and sunlight play a role in determining the types of vegetation found in different areas.
Secondly, historical human activities have influenced vegetation patterns. Traditional farming practices, irrigation systems, and land use practices have introduced and cultivated various plant species. Techniques like terracing and oasis cultivation have supported the growth of specific vegetation types in specific regions.
Lastly, the Arab world's location at the intersection of different biogeographic regions has resulted in a rich biodiversity. This has led to the presence of plant species adapted to various ecological niches, including coastal areas, mountains, and semi-arid regions.
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A plane traveling to Europe takes 12 hours to fly 86000 km. What is the planes velocity
The velocity of the plane is approximately 7166.67 km/h.
The rate at which an item changes its location in a certain direction over a predetermined amount of time is referred to as velocity in the study of physics. Due to the fact that it is a vector quantity, it possesses both magnitude and direction. The direction of velocity describes whether an object is moving in a straight line or along a curved path, whereas the magnitude of velocity represents the object's speed.
To calculate the velocity of the plane, can use the formula:
Velocity = Distance / Time
Given:
Distance = 86000 km
Time = 12 hours
Putting the values, may get:
Velocity = 86000 km / 12 hours
To obtain the velocity in km/h, we divide the distance by the time:
Velocity = 7166.67 km/h
So, the velocity of the plane would be approximately 7166.67 km/h.
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What is the root cause of earths magnetic field?
Answer:
I'm not sure but I think it is electric currents in the outer core
Please hurry (:
A free body diagram of a brick on an inclined plane is shown below. What is the coefficient of friction u?
Answer: 1.25
I did it and got it right
The coefficient of friction is 0.25
What is coefficient of friction?The coefficient of friction is the ratio of friction force to normal reaction . It is a constant quantity and depends only on the nature of the surface .
Here,
Frictional force f = 50 N
Normal reaction N = 200 N
coefficient of friction = μ
So, μ = f/N = 150/ 200 = 0.25
Hence the coefficient of friction is 0.25
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The invisible boy
what is the Theme of the story?
Answer:
the theme is acceptably of others
Explanation:
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Which of the following would describe where energy is stored in a baseball travelling 100 mph?A) Both gravitational potential energy and kinetic energy.B) All 4 energy locations have at least some energy stored in them in this example.C) Gravitational energy only.D) Elastic energy only.E) Kinetic energy only.
Since the baseball is moving, it has kinetic energy.
Since the baseball has a certain height (it's not moving on the ground, it's moving above the ground), so it also has gravitational energy.
The ball itself has a certain temperature and has a molecular structure that holds energy, so the ball has internal energy.
And the ball has a certain deformation, that holds some elastic energy.
Therefore the correct option is B.
The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 576 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference
Answer:
\(T=62.9*10^{-9}\)
Explanation:
From the question we are told that:
Index of refraction of Rinestones \(\gamma_1 =1.5\)
Index of refraction of silicon \(\gamma_2 =2.0\)
Wavelength \(\lambda=576nm=576*10^{-9}\)
Let each layer have thickness T
Therefore
Total Thickness =2T
Generally the equation for Constructive interference is mathematically given by
\(2T=(m+0.5)\frac{l\lambda}{\gamma_2}\)
Where
\(M=0\)
\(2T=(0+0.5)\frac{576*10^{-9}}{2*2.0}\)
\(T=62.9*10^{-9}\)
Scarlett is playing outside. She knocks her toy train in to the lake. The train has parts that are made of stein and she has a wooden fishing rod. How can the fishing rod be changed to help her find the train?
In order to help Scarlett retrieve her toy train from the lake, the wooden fishing rod can be modified or adapted by Attaching a magnet, Adding a hook or grappling device, and Using a net or scoop.
Attaching a magnet: Scarlett can attach a strong magnet to the end of the fishing rod. Since the train contains parts made of steel, the magnet will be attracted to the metallic components. By carefully maneuvering the magnet with the fishing rod, Scarlett can potentially attract and retrieve the train from the water.
Adding a hook or grappling device: Scarlett can affix a hook or grappling mechanism to the fishing rod. By casting the hook near the location where the train fell into the lake and skillfully maneuvering the rod, she can attempt to hook onto the train or one of its parts. With a successful hook, she can slowly reel in the train and bring it back to shore.
Using a net or scoop: If the toy train is floating on the surface of the lake or near the shallow edges, Scarlett can attach a net or scoop to the end of the fishing rod. By carefully positioning the net or scoop around the train, she can scoop it up and safely retrieve it without causing any damage.
It's important to note that the success of these modifications will depend on factors such as the depth of the lake, the accessibility of the train, and the size and weight of the fishing rod. Additionally, adult supervision or assistance may be necessary to ensure safety, especially if the lake is deep or poses any hazards.
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