[tex] \boxed{\boxed{ \rm \: Velocity = \dfrac{Displacement}{Time} }}[/tex]
Explain the relationship between angle of plane vs elliptical shape. (The angle of
the plane is represented by the blue with the resulting elliptical shape cut out).
Explanation:
The angle of the plane is directly correlated to the shape of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape cut out is also much shorter in length. Conversely, when the plane is at a steep angle, the resulting elliptical shape cut out is much longer in length.
This is because the angle of the plane determines the amount of material that will be removed when the plane is used to cut the elliptical shape. When the plane is at a low angle, less material is removed, thus producing a shorter elliptical shape. When the plane is at a steep angle, more material is removed, thus producing a longer elliptical shape.
In addition, the angle of the plane also affects the depth of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape is shallow. Conversely, when the plane is at a steep angle, the resulting elliptical shape is deep.
Why do ionizing smoke detectors contain an isotope that undergoes alpha decay rather than beta or gamma decay?
Ionizing smoke detectors contain an isotope that undergoes alpha decay (such as americium-241) because alpha particles are more ionizing than beta or gamma particles.
What is Isotopes?
Isotopes are variants of an element that have the same number of protons in their atomic nuclei but differ in the number of neutrons. This means that isotopes of the same element have the same atomic number (which determines the element's chemical properties) but different atomic masses.
In an ionizing smoke detector, the alpha particles emitted by the radioactive source ionize the air in the detector's chamber, creating a current that is detected by a circuit. When smoke particles enter the chamber, they attach to the ions and reduce the current, triggering the detector's alarm.
Alpha particles are heavier and have a higher charge than beta or gamma particles, which means they interact more strongly with matter and create more ionization as they travel through air. This makes them more effective at ionizing the air in the detector's chamber, and therefore more sensitive to the presence of smoke particles.
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Similarities between thermonic emissions and liquid vaporisation
Both processes involve a change in the state of matter. In thermionic emissions, electrons are emitted from a solid metal surface to form a gas or plasma, while in liquid vaporization, a liquid is converted into a gas or vapor.
Liquid vaporisation, also known as evaporation, is the process by which a liquid transforms into its gaseous state at a temperature below its boiling point. This occurs due to the random motion of molecules in a liquid, where some of the molecules near the surface gain enough kinetic energy to overcome the intermolecular forces holding them together and escape into the air as a gas.
During the process of liquid vaporization, the liquid absorbs energy from its surroundings in the form of heat, which increases the average kinetic energy of the molecules and causes them to evaporate. The rate of evaporation depends on several factors such as temperature, humidity, and surface area of the liquid.
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9. A bullet of mass 8g is stationary in the barrel of a gun of mass 4kg. The trigger is pulled and a force of 2.8kN is exerted on the bullet for 1.7ms. Calculate or find: a) Velocity of the bullet as it leaves the barrel of the gun. b) Recoil velocity of the gun. c) Show by calculation which type of collision is taking place.
After the trigger is pulled, the momentum of the system is:
p = mv
where p is the momentum, m is the mass, and v is the velocity.
Before the bullet is fired:
p = 0
After the bullet is fired:
p = (0.008 kg)(v) + (4 kg)(-u)
where u is the recoil velocity of the gun.
Since there are no external forces acting on the system, the initial momentum is equal to the final momentum:
0 = (0.008 kg)(v) + (4 kg)(-u)
Solving for u, we get:
u = -(0.008 kg)(v)/(4 kg) = -0.002 v
Substituting this into the equation for the momentum, we get:
p = (0.008 kg)(v) + (4 kg)(0.002 v) = 0.016 v
The force applied to the bullet is given by:
F = ma
where F is the force, m is the mass, and a is the acceleration.
Rearranging this equation to solve for acceleration, we get:
a = F/m = (2.8 kN)/(0.008 kg) = 350,000 m/s^2
Using the kinematic equation:
v = u + at
where u is the initial velocity (which is zero), t is the time, and a is the acceleration, we can solve for the final velocity:
v = at = (350,000 m/s^2)(1.7 × 10^-3 s) = 595 m/s
Therefore, the velocity of the bullet as it leaves the barrel of the gun is 595 m/s.
b) The recoil velocity of the gun is given by:
u = -(0.008 kg)(v)/(4 kg) = -0.002 v = -1.19 m/s
c) In an elastic collision, kinetic energy is conserved, while in an inelastic collision, kinetic energy is not conserved.
The initial kinetic energy of the system is zero, since both the bullet and the gun are stationary. After the collision, the kinetic energy of the system is:
K = (1/2)mv^2 + (1/2)Mu^2
where K is the kinetic energy, m is the mass of the bullet, v is its velocity, M is the mass of the gun, and u is its recoil velocity.
Substituting the values we found earlier, we get:
K = (1/2)(0.008 kg)(595 m/s)^2 + (1/2)(4 kg)(1.19 m/s)^2 = 1340 J
The work done on the bullet is:
W = Fs = (2.8 kN)(2 × 10^-3 m) = 5.6 J
Since the work done on the bullet is less than the change in kinetic energy of the system, the collision is inelastic.
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Alyssa would like to consume carbohydrates from a healthy carb source. What would be a good choice for her to consume?
The kind of food that she may have to consume is garlic bread.
Is garlic bread a healthy source of carbohydrates?Garlic bread is a type of bread that is usually made with bread, butter, and garlic.
Garlic bread is generally high in calories, fat, and sodium, and it may also contain added sugars or artificial flavors. Additionally, the type of bread used to make garlic bread is usually white bread, which is refined and low in fiber.
It can help you to have a whole lot of carbohydrates.
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Sonu is observing his image in a plane mirror. The distance between the mirror and his image is 4 m. If he moves 1 m towards the mirror, the distance between Sonu and his image will be: (a) 3 m (b) 5 m (c) 6 m (d) 8 m
Answer:
Originally Sonu and image is 8 m (4 m to mirror and 4 m to image)
If he moves 1 m towards the mirror the image distance will be reduced to (c) 6 m
A 3 kg fish is swimming at 1.5 m/s to the right. It swallows a 0.25kg
fish swimming to the left at 4.0 m/s. What is the velocity of the larger
immediately after lunch?
Show Your Work
Answer:
1.076 m/s
Explanation:
Given a 3.0 kg fish is swimming at 1.5 m/s to the right. it swallows a 0.25 kg fish swimming to the left at 4.0 m/s. what is the speed and direction of the larger fish immediately after lunch?
Mass of fish m1 = 3 kg
Velocity v1 = 1.5 m/s
Mass of small fish m2 = 0.25 kg
Velocity v2 = - 4 m/s (negative sign since the direction is opposite)
Therefore total mass of fish after swallowing will be M = 3 + 0.25 = 3.25 kg
Let the final velocity of fish be V
Now according to the law of conservation of momentum we have
So m1v1 + m2v2 = M x V
3 x 1.5 + 0.25 x – 4 = 3.25 x V
4.5 – 1 = 3.25 V
3.25 V = 3.5
Or V = 1.076 m/s
So speed of the fish will be 1.076 m/s
5. Deltas are built up by ____.
A. Leaching
B. Desposition
C. Erosion
D. Abrasion
Answer:
B. Disposition
Explanation:
How are deltas formed?In order for a delta to form, water must flow slowly so that the sediment can be deposited to create new landforms.
two people are being pulled up out of the water by a helicopter the helicopter pulls the two people upwards who weigh a combined 150 kg and lifts them 20 meters. determine the work done by the helicopter is this work turned into kinetic or potential energy
Answer:
The work done by the helicopter is equal to the force applied multiplied by the distance moved in the direction of the force. In this case, the force is equal to the weight of the two people, which is given as 150 kg, and the distance moved in the direction of the force is 20 meters.
Therefore, the work done by the helicopter is:
Work = Force x Distance = 150 kg x 9.8 m/s^2 x 20 m = 29,400 J
This work is turned into potential energy, which is stored in the two people lifted by the helicopter. As the helicopter pulls the people upward, their potential energy increases due to their increased height above the ground. If the helicopter were to release the people, their potential energy would be converted into kinetic energy as they fell back down to the ground.
Explanation:
A school classroom has six identical lamps. Each of the lamps is connected in parallel across a 220V mains supply. State the voltage across one of the lamps
The voltage across one of the lamps will be 220V. This is because when components are connected in parallel, the voltage across each component is the same as the voltage across the source.
What is voltage?Voltage is a measure of the potential difference in electrical energy between two points. It is measured in volts and is the electrical force that causes current to flow in an electrical circuit. Voltage is the energy per unit charge that causes a current to flow through a conductor. It can be compared to the pressure of water in a pipe, where the greater the pressure, the more water that can be pushed through the pipe. Voltage is the primary factor in determining the amount of electrical current that can be produced in an electrical circuit. Voltage is also related to the amount of power that can be produced in an electrical circuit. Voltage can be generated by a variety of sources, such as batteries, generators, and rectifiers.
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In which type of relationship do both organisms benefit?
Answer: I think the answer is symbiotic tell me if I am right
Explanation:
Answer:
Symbiotic
Explanation:
Pathogenic relationships refer to things like microbes or viruses, think along the lines of how diseases spread throughout the body. One party is benefitted but the other is not.
'Microorganism' and 'macroorganism' refer to types of organisms rather than types of relationships.
Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are
accurate to 2 significant figures, what is the equivalent resistance between points A and B?
The equivalent resistance between points A and B in the diagram is 22 Ω
How do I determine the equivalent resistance?We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:
Resistor 1 (R₁) = 6 ΩResistor 2 (R₂) = 6 ΩResistor 3 (R₃) = 6 ΩEquivalent resistance (Rₜ) = ?1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₜ = 1/6 + 1/6 + 1/6
1/Rₜ = 3/6
1/Rₜ = 1/2
Rₜ = 2 Ω
Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:
Resistor 1 (R₁) = Resistor 2 (R₂) = ... = Resistor (R₁₁) = 2 ΩEquivalent resistance (R) =?R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁
R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
R = 22Ω
Thus, we can conclude that the equivalent resistance is 22 Ω
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an objects potential energy is do to its?
An objects potential energy is due to its state of rest.
Define potential energy
Potential energy is a form of accumulated energy that is dependent on the relationship between different system components. When a spring is compressed or expanded, its potential energy increases. The potential energy of a steel ball is greater when it is raised above the earth than when it is brought to Earth.
Energy that is conserved or kept in a substance or object is known as potential energy. The position, arrangement, or condition of the item or substance determines the amount of stored energy. It can be pictured as energy with the "potential" to perform labor. Mechanical energy, electrical energy, chemical energy, radiant energy, nuclear energy, and heat energy are the six categories of potential energy.
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In a series-parallel circuit, you can find the total
resistance of the circuit by calculating the resistance of
each parallel section and then adding the series
resistances to these values to obtain a single
resistance. (This class is about cars )
If you know the total current and voltage across the circuit, then you can find the total resistance using the Ohm's Law, that is : R = V / I.
How is resistance calculated in series-parallel circuit?In a series-parallel circuit, one can find the total resistance of circuit by calculating resistance of each parallel section and then adding reciprocals of these values to obtain total resistance of parallel section. Next, you can add series resistances to this total resistance to obtain single resistance for entire circuit.
In series the total resistance is equal to the sum of the resistors. In parallel, inverse of the total resistance is equal to the the sum of the inverse of each individual resistor.
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Note: The question given on the portal is incomplete. Here is the complete question.
Question: How is resistance calculated in a series-parallel circuit?
Mars's moon Phobos is only about 12 km wide. Your weight on Phobos would be
0.001 what it is on Earth. Its escape velocity is 12 m/s. This velocity results in enough
kinetic energy to produce zero PE at infinite distance. You could launch yourself into
orbit around Phobos with a strong, very fast jump. Compare this jumping speed to
escape velocity, and describe what would happen if you jumped at an angle.
If you jumped at an angle, it would depend on the angle you jumped at and the speed you jumped at. If you jumped at an angle that was greater than the escape velocity of 12 m/s, you would be able to escape.
What is angle ?An angle is a figure formed by two rays, or line segments, that extend from a common endpoint. It is a measure of the amount of turn between the two rays. The angle is measured in degrees, with a full circle being 360 degrees. Angles can be acute, obtuse, right, reflex, or straight. Acute angles measure less than 90 degrees, whereas obtuse angles measure more than 90 degrees. Right angles measure exactly 90 degrees, reflex angles are greater than 180 degrees, and straight angles measure exactly 180 degrees.
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The government is hiking in the price of petroleum products time to time. It is causing the energy crisis further.
Write any two logics.
The energy crisis is generally caused by increasing the population or excessive utilization of non-renewable sources of energy.
What are the main causes of the energy crisis?Most of the time, energy crises typically have been provoked by localized shortages, wars, and market manipulation. Some have stated that government characteristics and actions like tax hikes, nationalization of energy companies, etc. are responsible for such circumstances. Definitely, these facts are true.
Apart from this, the regulation of the energy sector shifts the supply and demand of energy away from its economic equilibrium and may also be responsible for hiking the price of petroleum products from time to time. If the government may raise the price of any product, it will not be affordable for common consumers due to a lack of earnings and financial strength. This ultimately leads to an energy crisis.
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How much heat is needed to change 7.2 kg of solid ethyl alcohol at "-211*C" to liquid at 50.0*C?
Please show all work! Thank you!
There is a requirement for 1,638,000 Joules of heat.
How do you convert joules into heat?Q=I2Rt provides the Joule's heating formula. Joule's heating formula states that the amount of heat produced is proportional to the length of time that the electrical resistance and current are both constant.
The following equation must be used:
Q = m × Lfus + m × Cp × ΔT
Ethyl alcohol has a heat of fusion of 105 J/g and a specific heat capacity of 2.44 J/g°C.
The amount of ethyl alcohol is specified as 7.2 kg, or 7,200 g.
The ethyl alcohol must be melted at a temperature of:
Q1 = m × Lfus =
7,200 g × 105 J/g
= 756,000 J
In order to raise the temperature of the liquid ethyl alcohol from 0°C to 50°C, we must determine the amount of heat needed:
ΔT = 50°C - 0°C
= 50°C
The amount of heat required to raise the temperature of the liquid ethyl alcohol is:
Q2 = m × Cp × ΔT
= 7,200 g × 2.44 J/g°C × 50°C
= 882,000 J
As a result, the total amount of heat needed to transform 7.2 kg of solid ethyl alcohol from -211°C to 50.0°C into a liquid is:
Q = Q1 + Q2 = 756,000 J + 882,000 J
= 1,638,000 J
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PLEASE HELP PHYSICS ASAP
Transverse wave: direction of propagation is perpendicular to direction of wave
If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is 22,500 J
According to the solving the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
What constitutes work completed?The work performed by a force is the sum of the movement and the component of something like the applied pressure of the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move with a certain amount of acceleration. Work completed is represented by the formula W = F.
According to the given information:KEf = (1/2)mv²
= (1/2)(1800 kg)(5.0 m/s)²
= 22,500 J
The work done on the car is equal to the change in kinetic energy:
W = KEf - KEi
= 22,500 J - 0 J
= 22,500 J
Therefore, the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
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I understand the the question you are looking for is:
If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is?
which of the following statements is not true regarding the movement of particles
"Particles always move in straight lines" is not true. Particles can move in curved paths due to the influence of external forces, such as gravity or electric or magnetic fields.
What is gravity?Gravity is a natural phenomenon by which all objects with mass are brought toward one another. It is most commonly recognized as the force that gives weight to physical objects, and causes them to fall to the ground when dropped. Gravity is one of the fundamental forces of the universe and is a type of acceleration that affects all objects in the same way regardless of size, composition, and other factors. This force is responsible for keeping planets and other objects in their orbits around larger masses. It is also the driving force behind the formation of galaxies, stars, and other celestial bodies.
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What is the frequency of a wave that travels through a spring at 2.6 m/s and has a wavelength of 1.3 meters
The frequency of a wave is the speed of the wave divided by its wavelength. The frequency of the wave travelling through at 2.6 m/s with the wavelength of 1.3 meters is 2 Hz.
What is frequency ?Frequency of a wave is the number of wave cycles travelling per unit time. It is the inverse of the time period thus has the unit of s⁻¹ which is equivalent to the unit Hz.
The frequency of a wave is inversely proportional to the wavelength of the wave. The speed of the wave is related to its frequency and wavelength as:
c = νλ
given, c = 2.6 m/s
wavelength, λ = 1.3 m.
then, frequency ν = c/λ
ν = 2.6 m/s / 1.3 m
= 2 Hz.
Therefore, the frequency of the wave is 2 Hz.
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Consider the circuit
The current in the 5.0 Ohm resistor is:
The voltage across each resistors connected in parallel circuit is the same. Hence, according to Ohm's law, the current through the resistor of 5 ohms is 1.5 A.
What is Ohm's law ?Ohm's law states that, the voltage across a circuit is the product of the resistance through and current flowing through the circuit.
V = I R.
The voltage over resistors connected in series circuit will be different whereas , that for a parallel circuit, voltage is constant.
Given v = 12 V
then, the current through the series circuit is the same for all the components in the circuit.
hence, the total resistance in the branch with 3 ohm and 5 ohms is:
R = R1 + R2 = 5. + 3 = 8 Ω
Now, the current passing through the branch will be 12 V/ 8 Ω = 1.5 A.
Therefore, the current passing through the 5 ohm resistor is 1.5 A.
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how much does a change in mass affect the kinetic energy of two balls of comparable diameter?
Answer:
Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.
A 50g
block is attached to a
horizontal spring with spring
constant k = 3600 N/m
The spring is compressed by 5 cm,
as shown in the figure.
When the spring is released, will the
block be able to cross the top of the hill with
h =10m?
The spring can not cross the hill.
What is the elastic potential energy?Elastic potential energy is the potential energy stored in an object when it is deformed, or stretched or compressed, by a force. When an elastic object is stretched or compressed, it has the potential to return to its original shape and size, and the work done to stretch or compress it is stored as elastic potential energy.
We know that;
E = 1/2Ke^2
E = 0.5 * 3600 * (5 * 10^-2)^2
E = 4.5 J
Now the GPE of the hill is;
mgh = 50 * 10^-3 * 10 * 9.8
= 4.9 J
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an effort of 10n applied to a simple machine moves a load of 40n through a distance of 100mm,the efficiency at this load being 80%.calculate the velocity ratio
If an 80% efficiency machine lifts a load of 40n by applying a 10N effort then the velocity ratio (VR) will be 5.
What is the efficiency of a machine?The efficiency of a machine can be calculated by the ratio of mechanical advantage(MA) and the velocity ratio(VR).
Mathematically,
Efficiency= η= [tex]\frac{MA}{VR}[/tex]
where MA= mechanical advantage = load(W)/ Effort(P)
VR=velocity ratio=[tex]\frac{distance moved by effort }{distance moved by load}[/tex]
Here in the given question
Load(w)=40N
Effort(P)= 10N
MA=40/10=4
Efficiency(η)=80% =0.8
we Know η=MA/VR
VR=MA/η
VR=4/0.8=5
VR=5
Hence the velocity ratio of the machine is 5.
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Explain the interactions the model shows between earths systems
The Earth has four main interconnected systems: the atmosphere, the hydrosphere, the lithosphere, and the biosphere.
The model shows how all four systems interact with each other and influence each other. The atmosphere is responsible for controlling the climate and transferring energy through air currents and radiation. The hydrosphere includes all water on Earth, both frozen and liquid, and it is responsible for transporting water and energy. The lithosphere is made up of rocks, soil, and minerals, and it helps regulate and moderate the Earth's temperature. Finally, the biosphere is made up of all living things, and it influences and is influenced by all of the other systems.
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I need help with this one.
The correctly written chemical equation that demonstrates the conservation of mass is:
[tex]H_{2} + O_{2} - > H_{2}O[/tex]
What is conservation of mass?The law of conservation of mass is a fundamental principle in chemistry and physics that states that mass cannot be created or destroyed in a chemical reaction or a physical process. In other words, the total mass of the reactants must be equal to the total mass of the products in any chemical reaction. This means that the number of atoms of each element present in the reactants must be equal to the number of atoms of the same elements in the products.
[tex]H_{2} + O_{2} - > H_{2}O[/tex]
This equation shows the reaction between hydrogen gas and oxygen gas to produce water vapor. The equation is balanced, which means that the number of atoms of each element on both sides of the equation is equal, and therefore, the law of conservation of mass is upheld.
The law of conservation of mass is important in chemistry because it allows chemists to predict the outcome of a reaction and to calculate the amount of reactants needed to produce a certain amount of product. It also ensures that the total amount of matter in the universe remains constant, which is a fundamental concept in modern physics.
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HOW do the diagram and information in the
section "Stages of Photosynthesis"
develop
a coherent understanding of light and dark
reactions?
The diagram and information in the section "Stages of Photosynthesis" provide a coherent understanding of the light and dark reactions of photosynthesis.
What is light and dark reactions?The light-dependent reactions occur in the thylakoid membranes of the chloroplasts and are driven by light energy. The light energy is absorbed by pigments such as chlorophyll and converted into chemical energy in the form of ATP and NADPH. The light-dependent reactions also produce oxygen gas as a byproduct.
The ATP and NADPH produced in the light-dependent reactions are then used in the light-independent reactions, which occur in the stroma of the chloroplasts. The light-independent reactions, also known as the Calvin cycle, use carbon dioxide and the energy from ATP and NADPH to synthesize glucose and other organic compounds. The Calvin cycle does not directly require light, but it is dependent on the products of the light-dependent reactions.
Together, the light-dependent and light-independent reactions of photosynthesis form a coherent cycle that allows plants and other photosynthetic organisms to convert light energy into chemical energy in the form of glucose and other organic compounds. The diagram and information in the section "Stages of Photosynthesis" provide a clear visual and textual representation of this process, helping to develop a coherent understanding of the overall process of photosynthesis.
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State whether the following statements are true or false. Write the question number and T or F next to the number. For example, 4. 3. 1. T, if the answer for question 4. 3. 1 is true. 4. 3. 1 Magnetomotive force is the production of magnetic field by current in a conductor. (1) 4. 3. 2 25 mA is necessary for the coil with 4000 turns to produce 1000 A. T of mmf. (1) 4. 3. 3 When unlike poles, that is, south and north poles, are placed close together, an attraction force is produced by the magnetic fields. (1) 4. 3. 4 Magnetic lines of force never cross one another. (1) 4. 3. 5 When a magnetic field is moved past a stationery wire, there is relation motion. -1
The first two statements are false and the remaining three statements are true.
1. Magnetomotive force is the production of magnetic field by current in a conductor.
This statement is false. Magnetomotive force (MMF) is a measure of the strength of a magnetic field produced by a magnetic circuit, not by current in a conductor.
2. 25 mA is necessary for the coil with 4000 turns to produce 1000 A-T of MMF.
This statement is false. To produce 1000 A-T of MMF in a coil with 4000 turns, the current required would be:
MMF = N * I
1000 A-T = 4000 turns * I
I = 0.25 A or 250 mA
3. When unlike poles, that is, south and north poles, are placed close together, an attraction force is produced by the magnetic fields.
This statement is true. According to the laws of magnetism, opposite poles (north and south) attract each other, while like poles (north and north, or south and south) repel each other.
4. Magnetic lines of force never cross one another.
This statement is true. Magnetic lines of force (also known as magnetic field lines) are imaginary lines used to represent the direction and strength of a magnetic field. These lines are always continuous and form closed loops, never crossing one another.
5. When a magnetic field is moved past a stationary wire, there is relative motion.
This statement is true. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electromotive force (EMF) in a nearby conductor. This EMF causes current to flow in the conductor, creating a voltage.
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a puck moves 2.35 m/s in a -22° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction what is Δy
A puck moves at 2.35 m/s in a -22° angle.It is pushed for 0.215 seconds by a hockey stick, changing its velocity to 6.42 m/s in a 50.0° direction. The negative sign indicates that the puck has fallen below its initial height.
How to solve the given problem with the help of trigonometry?
To solve the problem, we need to use the equations of motion and trigonometry.
First, let's find the initial velocity components:
[tex]\mathrm V_{i,x} = v_i cos(\theta_i) = 2.35 cos(-22^\circ) \approx 2.216\text{ m/s}[/tex]
[tex]\mathrm V_{i,y} = v_i sin(\theta_i) = 2.35 sin(-22^\circ) \approx -0.891\text{ m/s}[/tex]
where [tex]v_i[/tex] is the initial velocity and [tex]\theta_i[/tex] is the initial angle in degrees.
Next, we need to find the final velocity components:
[tex]\mathrm V_{f,x} = v_f cos(\theta_f) = 6.42 cos(50^\circ) \approx 4.121\text{ m/s}[/tex]
[tex]\mathrm V_{f,y} = v_f sin(\theta_f) = 6.42 sin(50^\circ) \approx 4.936\text{ m/s}[/tex]
where [tex]v_f[/tex] is the final velocity and [tex]\theta_f[/tex] is the final angle in degrees.
The change in velocity components are:
[tex]\Mathrm\Delta V_x = V_{f,x} - V_{i,x} \approx 1.905\text{ m/s}[/tex]
[tex]$\Delta V_y = V_{f,y} - V_{i,y} \approx 5.827\text{ m/s}[/tex]
The time of the push is t = 0.215 s.
Using the equation of motion, we can find the change in position in the y-direction:
[tex]$\Delta y = V_{i,y} t + \frac{1}{2} a_y t^2[/tex]
where a_y is the acceleration in the y-direction.
Since the puck is in flight, the only force acting on it is gravity, which causes an acceleration of [tex]-9.8 m/s^2[/tex] in the y-direction.
Plugging in the values, we get:
[tex]\Delta y = (-0.891\text{ m/s})(0.215\text{ s}) + \frac{1}{2} (-9.8\text{ m/s}^2)(0.215\text{ s})^2 \approx -0.139\text{ m}[/tex]
Note that the negative sign indicates that the puck has fallen below its initial height.
Therefore, the change in position in the y-direction is approximately 0.139 m.
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Answer:
0.434
Explanation: