Kinetic energy increases because the magnets move in the opposite direction of the field.
What is magnets?A magnet is an object that can attract certain materials, such as iron and steel. Magnets have two poles, a north pole and a south pole, and they can attract and repel other magnets. When two magnets are placed near each other, their magnetic fields interact and the force of attraction or repulsion can be felt. Magnets can also pick up objects made of iron and steel, such as paper clips and nails. Magnets can be made of different materials, including iron, nickel, cobalt, and other alloys. Natural magnets are found in the earth and are known as lodestones.
When two magnets are pulled apart, their relative motion generates a magnetic field that opposes the original field. This increases the kinetic energy stored in the system.
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Answer:
b
Explanation:
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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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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PLEASE HELP PHYSICS ASAP
Transverse wave: direction of propagation is perpendicular to direction of wave
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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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 does temperature affect a football players performance indepented and depented variable, constants and hypothesis
Because you are testing temperature, it is the independent variable. You must calculate each player's score because you're aiming to gauge how effectively football players perform in various environments.
What kind of hypothesis would you use?Hypothesis The amount of happiness increases with daily sun exposure. The assumed cause in this example and the explanatory variables is sun exposure. The assumed impact, or dependent variable, is the degree of happiness.
What does a scientific hypothesis mean?A hypothesis is a statement about the physical world that can be verified by observations or tests. Hypotheses must be falsifiable and subject to scientific scrutiny in order to qualify as scientific.
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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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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:
the total energy of a system is 300j. if the potential energy is 40j what is the kinetic energy if the object started 300m above the ground?
Answer:
43.3 m/s.
Explanation:
Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:
Total energy = Potential energy + Kinetic energy
Kinetic energy = Total energy - Potential energy
Kinetic energy = 300 J - 40 J = 260 J
However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:
Potential energy = mgh
40 J = m(9.81 m/s^2)(300 m)
m = 0.137 kg
Now we can use the kinetic energy to find the velocity:
Kinetic energy = (1/2)mv^2
260 J = (1/2)(0.137 kg)v^2
v^2 = (2*260 J) / 0.137 kg
v = 43.3 m/s (rounded to one decimal place)
Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.
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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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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Answer question in photo
The potential energy of an object is the product of its mass, acceleration due to gravity and height of the object from the surface. Here, the potential energy of the object is 3118.2 J.
What is potential energy ?Potential energy of an object is the energy generated by virtue of its position. It is the energy stored on the object when it is at rest. When the object starts moving its potential energy starts to convert to kinetic energy.
the potential energy of an object is related to its mass, acceleration due to gravity g and height from the surface h as:
P = mgh.
then, m = 26.21 Kg
h = 12.14 m
g = 9.8 m/s²
p = 26.21 Kg × 9.8 m/s² × 12.14 m = 3118.2 J.
Therefore, the potential energy of the object is 3118.2 J.
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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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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.
pls help i need it for tomorrow
An unexpected result is examined a lot more closely, since it must disagree with some currently accepted theory to be accepted as unexpected.
What is an example of a hypothesis ?A scientist may develop the hypothesis that a given type of tomato will be red if it carries the gene for the colour red. The scientist then discovers that every tomato of this variety is red during investigation.
Hypotheses are frequently employed to promote scientific research and enhance knowledge. These clear declarations serve as the cornerstone for all research experiments.
Therefore, a problem in the creation of a hypothesis may lead to errors in the design of a whole experiment.
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pls help Cassie is taking a tour of a college campus. The tour starts at a statue where she walks 0.25 miles north, 0.18 miles west, 0.28 miles north, 0.33 miles east, then 0.78 miles south. At the end of the tour, what is Cassie's displacement vector from the statue?
a.0.21 miles, 60.0 east of south
b.0.21 miles, 34.6 south of east
c.0.30 miles, 60.0 south of east
d.0.30 miles, 34.6 east of south
Cassie's displacement vector from the statue is 0.30 miles (which is the magnitude of the vector formed by the x and y components) and it points 34.6° east of south.
So the correct answer is option d: 0.30 miles, 34.6 east of south.
What is Displacement Vector?
In physics, displacement vector is a vector that describes the change in position of an object, relative to its starting point, and it's defined as the vector that points from the initial position of the object to its final position.
o find Cassie's displacement vector from the statue, we need to determine the distance and direction from the statue to Cassie's final position. We can use vector addition to add up the individual displacement vectors for each leg of her journey:
The first leg is 0.25 miles north, which can be represented by a vector pointing straight up.
The second leg is 0.18 miles west, which can be represented by a vector pointing straight left.
The third leg is 0.28 miles north, which can be represented by a vector pointing straight up.
The fourth leg is 0.33 miles east, which can be represented by a vector pointing straight right.
The fifth leg is 0.78 miles south, which can be represented by a vector pointing straight down.
We can add these vectors together by breaking them down into their x and y components, then adding the x components separately and the y components separately. The resulting vector will have an x component and a y component that give us the total distance and direction from the statue to Cassie's final position.
The x components of the vectors are:
0 (no x component for the first leg)
-0.18 miles (negative because it's pointing left)
0 (no x component for the third leg)
0.33 miles
0 (no x component for the fifth leg)
Adding these together gives us a total x displacement of:
0 + (-0.18) + 0 + 0.33 + 0 = 0.15 miles east
The y components of the vectors are:
0.25 miles
0 (no y component for the second leg)
0.28 miles
0 (no y component for the fourth leg)
-0.78 miles (negative because it's pointing down)
Adding these together gives us a total y displacement of:
0.25 + 0 + 0.28 + 0 + (-0.78) = -0.25 miles south
Therefore, Cassie's displacement vector from the statue is 0.30 miles (which is the magnitude of the vector formed by the x and y components) and it points 34.6° east of south.
So the correct answer is option d: 0.30 miles, 34.6 east of south.
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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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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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the impulse experienced by a car is 4000 kg•m/s. What is the change in it's momentum?
The car's momentum change is 4000 kg/m/s because momentum change equals impulse.
Elaborating:Impulse can be summed up as follows: In this case, the car experienced an impulse of 4000 kg/s. Impulse = force x time.
The following formula can be used to determine the car's change in momentum using this information: The car's momentum change is 4000 kg/m/s because momentum change equals impulse.
How does momentum relate to impulse?The change in an object's momentum caused by a force acting on it for a certain amount of time is equal to impulse. An object's momentum change is measured by its impulse, which is defined as the sum of the object's acting force and time. Calculating impulse can be done by: Force x time is the impulse.
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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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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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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?
what's a formula of velocity?
[tex] \boxed{\boxed{ \rm \: Velocity = \dfrac{Displacement}{Time} }}[/tex]
If the same force is applied to an object with a small mass,it will have a blank accelertaion
If the same force is applied to an object with a small mass, it will experience a greater acceleration due to less inertia and the ease with which it can be accelerated. In contrast, an object with a larger mass will require more force to achieve the same acceleration.
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Mathematically, we can express this relationship as:
acceleration = force / mass
Therefore, if the same force is applied to an object with a small mass, it will experience a greater acceleration compared to an object with a larger mass. This is because the smaller mass results in less inertia, meaning it requires less force to cause a given acceleration. In other words, a smaller mass will accelerate more easily when the same force is applied to it. For example, if you apply the same force to a baseball and a bowling ball, the baseball will accelerate much more quickly because it has a smaller mass than the bowling ball. Conversely, if you apply the same force to a truck and a car, the car will accelerate more quickly because it has a smaller mass than the truck.
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Complete the following sentence on what will happen to the two elements in this model: the two elements will or will not bond into one ratio
Answer:
The sentence can be completed as:
The two elements in this model may or may not bond into one ratio, depending on their electronegativities and the specific conditions of the reaction.
What is the young’s modulus for polythene in n/m2
The Young's modulus for polythene is 0.3-0.5 GPa (3000-5000 N/m2).
The Young's modulus (E) is a property of the material that tells us how easily it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε). Where stress is the amount of force applied per unit area (σ = F/A) and strain is extension per unit length (ε = dl/l).Young's modulus E, the Young modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive stiffness of a solid material when the force is applied lengthwise.The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material (such as a fluid) would deform without force, and would have zero Young's modulus.
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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.
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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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
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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