The formula for Torque of couple is given as:
Moment (Torque)= F x d, where, F is the force in newtons and d is the perpendicular distance in meters.
Torque is defined as the moment of a force at about a turning point is the force multiplied by the perpendicular distance to the force from the turning point.
For Example- A 20N force acts at a perpendicular distance of 2m from the turning point then it torque will be equal to-
Torque of couple = F x d = 20 x 2 = 40 Nm
The moment of torque becomes zero when the forces acting on the body have the same line of action. When the forces are at right angles to the arm , the torque is maximum.
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what conditions must exist for a solar eclipse to occur?
The conditions must exist for a solar eclipse to occur are:
The position of the Sun, the Moon, and the Earth is in a straight line.It happen during the day, during a New Moon.What is solar eclipse?A solar eclipse is a phenomenon in which the sun's light is covered by the moon during the day. It occurs when the position of the Sun, the Moon and the Earth is in the exact same plane.
The Moon's shadow covers the Earth's surface during the day. The Sun's rays are blocked by the Moon so that during the day, the Sun's light looks dim, even quite dark.
A solar eclipse is only experienced by some areas on the Earth's surface. It happens because the Moon that covers the Sun is much smaller than the Sun. A small part of the Earth experiences a total solar eclipse. A total solar eclipse occurs in the Moon's umbra, the area completely covered by the Moon's shadow. Most areas of the Earth experience a partial solar eclipse. A partial solar eclipse occurs in the Moon's penumbra, the area partially covered by the Moon's shadow.
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How do you find the molar mass of an unknown compound?.
The molar mass of a compound can be found by adding the molar masses of all of the atoms in the compound.
The molar mass of an atom can be found on the periodic table by looking at the atomic mass listed for that element.
For example, to find the molar mass of water (H2O), we would add the molar masses of two hydrogen atoms (2 x 1.01 g/mol) and one oxygen atom (16.00 g/mol) to get a total molar mass of 18.02 g/mol.
Another way is by finding the molecular formula of the compound, it can be done by analyzing the compound's chemical and physical properties and then using the mass spectrometer to determine the molecular weight.
In conclusion, the molar mass of a compound can be found by adding the molar masses of the atoms in the compound using the atomic masses listed on the periodic table, or by determining the molecular formula of the compound and using a mass spectrometer to find the molecular weight.
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Under which of these conditions the torque acting on the current carrying loop is minimum Mcq?.
When θ = 0o ➔ τ = 0. The loop's plane must be opposite the magnetic field in order for there to be a minimum torque, hence the angle should be zero degrees.
What a magnetic field defined simply?. We use the magnetic flux as a tool to illustrate how the electromagnet flux is distributed in the vicinity and inside everything magnetic in nature.
Why is a magnetic field important? What is a magnetic flux?Our planet is shielded from space rays and charged particles from our Sun by the magnetic field, which is created by the churning of liquid metal in the Earth's core. It also offers the framework for compass navigation.
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2) Does Michael Phelps tend to have an increase or decrease in speed between the 100m and
200m laps? Why do you think this is the case?
Michael Phelps' had a net worth of 100 million dollar in 2022. Phelps is a retired Olympic swimmer and corporate advocate.
What is swimmer?Swimmers show immense commitment, calmness, courage, humility, responsibility, integrity. After setting aside a few swimmers, it was interesting to see how they felt about how these qualities contributed to their training and overall performance. It's a big part of being a player. This may be a narrow view, but in the simplest terms there are 3 types of swimmers. A sense of the season. Talent of taper; and eternally fast phenomenon. Essential swimming skills include the ability to enter and exit water, control breathing, float, turn, and enter and exit water safely. However, the water environment, activity, and even what you're wearing can change your ability to perform these skills.To learn more about swimmer from the given link:
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What is Newton's second law also known as?.
Newton's second law is also known as the law of acceleration or the force law. It states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.
Newton's second law, also known as the law of acceleration or the force law, states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.
In other words, it says that the more force applied to an object, the greater its acceleration will be, and the more massive an object is, the less it will accelerate for a given force.
This law is typically represented mathematically as F=ma, where F is the net force, m is the mass of the object, and a is the acceleration of the object. It is a fundamental principle in the study of motion and is used to calculate the motion of objects under the influence of forces.
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What is the net charge on a sphere that has the following?
a) 5.29 x 10^6 electrons and 7.07 x 10^6 protons
b) 225 electrons and 115 protons
c) 6.13 x 10^6 electrons and 7.33 x 10^6 protons d) 215 electrons and 109 protons
Lectron and proton charges are of the same magnitude. ... Section 23.4: The Electric Field [fy 8.22 x 10 8 N (0.529 x 10 10 m) v 9.11 x 10 31 kilogram 2.19 xlO 6 m/s.
How does an electron carry charge?The mass of an electron is roughly 1/2000 that of a neutron or proton, and it has an electrical charges of 1. The letter e is typically used to represent electron charge. It is a basic physical fundamental that is used to represent the 1.602 10-19 coulomb, which is the unit of naturally occurring electric charge.
What is Positivity of protons ?A atom with a negatively charged is an electron. A subatomic particle having a positive charge is called a proton. As a result, protons are linked together in the nucleus of an atom.the powerful nuclear force. A type of single atom called a neutron has no charge; it is neutral.
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what is the standard unit for measuring temperature in the metric system?
The metric system uses Celsius as the primary unit of measurement for temperature.
Nearly all nations in the world use the metric system as their official unit of measurement, which includes Celsius. The Celsius scale is used to measure temperature in most scientific disciplines. The freezing point of water is zero degrees Celsius, and the boiling point is one hundred degrees Celsius. By the middle of the 20th century, Celsius, the most widely used temperature unit in the modern metric system, had been adopted by the majority of the world. Anders Celsius, a Swedish astronomer, created the Celsius scale in 1742.
Most places in the globe measure temperature using the Celsius system (°C). The historical development of this empirical scale led to the definition of its zero point, 0 °C, as the freezing point.
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What is Newton's First Law kid?.
Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion stays in motion while maintaining a steady speed and a straight line.
Newton's first law states that an object will stay at rest or in uniform motion along a straight line unless driven to alter its condition by the action of an external force.
Inertia is the tendency of a body to resist changes in its state of motion. If all external forces cancel one other out, there is no net force acting on the item. If there is no net force applying to the item, it will maintain a constant velocity.
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the plates of a parallel-plate capacitor are connected to a battery. if the distance between the plates is halved, the energy of the capacitora. a. Increases by a factor of 4b. Doublesc. Remains the samed. Is halvede. Decreases by a factor of 4
Cantilever beam capacitance at time t, expressed as C= U's rate of change is therefore inversely proportional to x 2.
What are capacitance and its measure?Date Updated: 27 June 2022. (00 : 00) Solution: A capacitor's capacitance is determined by dividing the amount of charge on either of its conductor plates by the potential difference between its conductors.
QpropV or C=(Q)/(V). The coulomb per volt and farad is the SI unit for capacitance (F).
The formula for capacitors is what?The fundamental equation for capacitors is charge (= capacitance x voltage, or Q = C x V. We gauge capacitance by series or in parallel, which is the capacity that holds one coulomb (specified as the charge delivered by one ampere inside one minute) of charge per one farad.
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Which explanation is based on empirical evidence
Empirical evidence is the information obtained through observation and documentation of certain behavior and patterns or through an experiment.
What is Empirical Evidence?The main ways to gather empirical evidence are through experiments or observation. The term "primary sources" refers to the observations or experiments. But it can also be found in a variety of secondary sources, such as books, articles, reports, newspapers, etc.
A fundamental component of the scientific research approach that can be used in many fields is empirical evidence. The gathering of objective evidence is the major issue with empirical research. Researchers must carefully plan their study while reducing the risk of probable mistakes.
In the field of science, it is typical for numerous researchers or scientists to acquire data simultaneously by conducting identical studies. Peer review is another crucial scientific strategy used to substantiate the data presented in a study or piece of research.
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12. An organ pipe that is 1. 75 m long and open at both ends produces sound of
frequency 303 Hz when resonating in its second overtone. What is the speed of
sound in the room?
295 m/s
328 m/s
354 m/s
389 m/s
401 m/s
The speed of sound in the room is 354 m/s. The result is obtained by using the formula for frequency in an open organ pipe.
What is organ pipe?An organ pipe is an element that produces sound resonating at a specific pitch when pressurized air is exerted through it.
There are two kinds of organ pipe. They are
Closed organ pipe, in which one end is closed and another end is opened.Open organ pipe, in which both ends are opened.The frequency of an open organ pipe can be calculated by
fₙ = v / λ
fₙ = (n + 1)v / 2L
Where
fₙ = frequency of n-harmonic (Hz)v = velocity of sound (m/s)λ = wavelength of sound (m)n = 0, 1, 2, 3, ... L = length of organ pipe (m)Note:
f₀ = fundamental frequencyf₁ = 1st-harmonic frequencyAn organ pipe in which open at both ends produces sound.
Length of organ pipe, L = 1.75 mFrequency of second overtone, f₂ = 303Find the speed of sound in the room!
The frequency of second overtone means frequency of the second-harmonic. So, n = 2.
Using the formula above, the speed of sound is
fₙ = (n + 1)v / 2L
f₂ = (2 + 1)v / 2(1.75)
303 = 3v/3.5
3v = 303 × 3.5
3v = 1060.5
v = 353.5
v ≈ 354 m/s
Hence, in the room of the open organ pipe, the speed of sound is 354 m/s. The correct answer is (c).
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What is calculated by multiplying force and time?.
Answer:
Therefore, the force multiplied by time is equal to the change in the momentum of the object. This quantity is known as impulse delivered by the force.
Explanation:
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Describe the force exerted by a magnet
The force that a magnet exerts on certain materials, including other magnets, is called magnetic force.
Where is the magnetic force exerted?A force that is applied to an item by a person or another object is known as an applied force. A desk is being subjected to applied force if someone is moving it across the room. The person's force applied to the desk is known as the applied force.Magnetic force is the force that a magnet applies to specific materials, such as other magnets. The force, which consists of both attractive and repulsive forces, is applied over a distance. Two magnets' north and south poles are attracted to one another whereas two north poles or two south poles are repellent to one another.Learn more about Magnetic force refer to ;
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What is angular momentum called?.
The rotational equivalent of linear momentum, angular momentum, is also known as Rotational Momentum or Moment of Momentum.
What is angular momentum?Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. Angular Momentum is defined as the property of any rotating object given by the product of the rotating object's moment of inertia and angular velocity. It is a vector with both magnitude and direction.
Here,
Angular momentum, which is the rotational equivalent of linear momentum, is also known as Rotational Momentum or Moment of Momentum.
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Temperature change in adiabatic heating occurs due to...
a. water vapor condensing
b. a pressure increase
c. absorption of sunlight
d. a pressure decrease
e. a volume increase
Temperature change in adiabatic heating occurs due to: (b) a pressure increase.
An adiabatic process is defined as : The thermodynamic process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression.The adiabatic process can be either reversible or irreversible. Following are the essential conditions for the adiabatic process to take place:
The system must be perfectly insulated from the surrounding.The process must be carried out quickly so that there is a sufficient amount of time for heat transfer to take place.As we know, heat, temperature, and the external environment are factors responsible for the flow of heat from one system to another. Changes do take place when heat is transferred. A process in which no heat transfer takes place is known as an adiabatic process.
There are several instances, some are stated below:
It is a process where there is a gas compression and heat is generated. One of the simplest examples would be the release of air from a pneumatic tire.Adiabatic Efficiency is applied to devices such as nozzles, compressors, and turbines. One of the good applications of the adiabatic process.To know more about thermodynamics visit:
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What are the 3 types of collisions?.
Collisions are classified into three types: Collision with perfect elasticity, Collision that is inelastic, Collision with perfect inelasticity.
What is collision?A collision is defined in physics as any event in which two or more bodies exert forces on each other in a relatively short period of time. In physics, a collision is the sudden, forceful coming together of two bodies, such as two billiard balls, a golf club and a ball, a hammer and a nail head, two railroad cars when coupled together, or a falling object and a floor. When two bodies come into direct contact with each other, this is referred to as a collision. The two bodies exert forces on each other in this case in a short period of time. As a result of the collision, the energy and momentum of the bodies interacting change.
Here,
Collisions are classified into three types: Collision with perfect elasticity, Collision that is inelastic, Collision with perfect inelasticity.
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A uranium atom (U) travelling with a velocity of 5.0 x 10 ms¹ relative to the containing tube, breaks up into krypton (K,) and barium (B₂). The krypton atom is ejected directly backwards at a velocity of 2.35 x 10°ms¹ relative to the barium after separation. With what velocity does the barium atom move forward relative to the tube? (You may assume that no other particles are produced and that relativistic corrections are small. What is the velocity of the krypton atom relative to the containing tube? (K,= 95.0, B₂ = 140, U = 235u)
Uranium atom has an atomic number of 92 which means there are 92 protons and 92 electrons in the atomic structure. U-238 has 146 neutrons in the nucleus, but the number of neutrons can vary from 141 to 146.
What forward speed does the barium atom have in relation to the tube?1) The velocity of the barium atom in reference to the tube can be determined using the conservation of momentum principle. The overall momentum of the uranium atom before decay is equal to the total momentum of the krypton and barium atoms after decay. Therefore:
mU * vU = mK * vK + mBa * vBa
where mU, mK, and mBa are the masses of the uranium, krypton, and barium atoms, respectively, and vU, vK, and vBa are the atoms' velocities in relation to the tube.
For vBa, we discover:
mBa = vBa = (mU * vU - mK * vK)
2) To calculate the Krypton atom's velocity in relation to the enclosing tube, the velocity of the Krypton atom relative to the barium atom must be included.
In light of this, vK = vK in relation to barium + vBa
Where vK relative to barium (2.35 x 106 m/s) is the issue statement's reference to the velocity of the krypton atom with respect to the barium atom.
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Part of the visual field that surrounds the figure, called?
The part of the visual field that surrounds the figure is called linear.
Linear perspective is a visual cue that allows a viewer to discern the depth and range of an object. Field of vision of a person's eye is that portion in the space in which object is visible to the viewer. The most clear vision subtend a central angle of 3° on the eye. However the monocular visual area consists of central vision, which includes the inner 30 degrees angle of vision and central fixation, and the surrounding visual field, which expand 100 degrees laterally. A vertical line bisects central vision and divides the visual field. The blind spot is represented on a visual field chart by a partial alteration in the field of vision.
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During a viral infection, which of the following occurs during a lysogenic cycle?
Responses
A: viral DNA is not replicated and the host cell is destroyed
B: viral DNA is replicated and the host cell is not destroyed
C: viral DNA is replicated and the host cell is destroyed
D: viral DNA is not replicated and the host cell is not destroyed
Viral DNA is replicated and the host cell is not destroyed. this cycle results in the host cell breaking open and the realease of more viruses.
What is Lysogenic cycle?The bacteriophage nucleic acid is integrated into the genome of the host bacterium during lysogeny, or a circular replicon forms in the bacterial cytoplasm.
At each succeeding cell division, the bacteriophage's genetic material, known as a prophage, can be transferred to the daughter cells, and later occurrences (such UV radiation or the presence of specific chemicals) can release it.
Eukaryotes can also experience lysogenic cycles, but the way DNA is incorporated differs.
Therefore, Viral DNA is replicated and the host cell is not destroyed. this cycle results in the host cell breaking open and the realease of more viruses.
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A restaurant plans to use a new food delivery service. The food delivery service charges $4. 98 for every 2 meals delivered, plus a $2. 00 service fee. What is the slope of this situation?.
The slope of this situation is $2.00. This is because the cost of the delivery service increases by $2.00 for each 2 meals delivered. Therefore, the slope is $2.00 ($2.00/$2.00).
What is the increases ?The term "increase" can refer to a variety of different concepts. Generally, it is defined as an increase in size, amount, number, or intensity. In the business world, an increase could refer to a rise in profits or revenue, a rise in stock prices, an increase in the number of employees, an increase in the amount of production, or an increase in the cost of goods or services. In the context of personal finance, an increase could refer to an increase in wages or an increase in the value of investments.
The slope of this situation is $2.00. This is because the cost of the delivery service increases by $2.00 for each 2 meals delivered.
Mathematically, the slope is calculated as the change in cost divided by the change in meals delivered. In this situation, the change in cost is $2.00 and the change in meals delivered is 2.
Therefore, the slope is $2.00 ($2.00/$2.00).
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The slope in this situation is 2.49$.
The slope of a situation refers to change in the dependent variable as a result of a unit charge in the independent variable.The independent variable in this situation is the number of meals delivered so the slope will be the amount that the food delivery service charges for every meal that they deliver.Slope is a value that describes the steepness and direction of a line. In variable format, it is commonly represented by the letter m. The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run.The amount is 4.98/2 meals delivered.
i.e. amount is 2.49$.
So, the slope in this situation is 2.49$.
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What is the SI unit of specific resistance Mcq?.
Specific Resistance is a property of any conductive material, a figure used to calculate a conductor's end-to-end resistance. The specific resistance of materials is given in units of Ω-cmil/ft or Ω-meters (metric).
What is specific resistance?The electrical resistivity of a material is a fundamental property that measures how strongly it resists electric current. A material with a low resistivity allows electric current to flow easily. The Greek letter is commonly used to represent resistivity. The ohm-meter is the SI unit of electrical resistivity. When a known amount of voltage is applied, specific resistance is defined as the resistance offered per unit length and unit cross-sectional area. The following is the mathematical representation: ρ = R A L. Specific resistance is also referred to as resistance. A material's resistivity is defined as the resistance of a wire of that material with unit length and unit area of cross-section. Its SI unit is the ohm-metre.
Here,
Specific Resistance is a property of any conductive material, a figure used to determine a conductor's end-to-end resistance. Specific resistance for materials is measured in Ω-cmil/ft or Ω-meters (metric).
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What are the 4 system of equations?.
Four systems of equations are 1) Graphical system 2) Elimination method system, 3) Substitution system 4) Cross multiplication system. These systems or methods are used to solve an equation.
Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.
Elimination method: In this method, any of the coefficients is first eliminated by equating. After eliminating the coefficient, the equations are resolved to get the other equation. For example:
3x + 2y = 9 ———–(i)
x – y = 6 ———–(ii)
Here, if equation (ii) is multiplied by 3, the coefficient of “x” will become the equal and can be eliminated.
So, multiply equation (ii) × 3 and then subtract equation (i)
3x + 2y - 9 - 3x-3y-18 = 0
y = -9/5
Now, put the value of y = 1.8 in equation (ii).
So, x – 1.8 = 6
x = 4.2
Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.
Cross multiplication method: Linear equations can be easily solved using this method. In this technique is used to simplify the solution. Following formula is used for solving 2 variable equation:
x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)
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What is the strength of the electric field at the position indicated by the dot in the figure?
E = _____ N/C
What is the direction of the electric field at the position indicated by the dot in the figure? Specify the direction as an angle above the horizontal line.
θ = ____ ⁰
The electric field has an angle of 0 degrees and a magnitude of 2546.35 N/C.
What is electric field?An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field. Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. E = F/Q is the formula for the electric field. Volts per meter is the SI unit for the electric field. The Newton's per coulomb unit is the same as this one. Newton is a unit of force and Coulomb is a unit of energy in these derived units.
Here,
E=kq/r^2
r= 5 x r^2 = 7.07 cm or .0707 m
E=(9 x 10^9)(1 x 10^-9)/(.0707)^2
= 1800.5 N/C
Now to find the x component,
cos 45 = x/1800.5
x= 1273.18 N/C
Now just multiply by 2 to accommodate both charges,
E=2546.35 N/C in direction of 0 degrees
The electric field has a magnitude of 2546.35 N/C and an angle of 0 degrees.
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Before improvements can be made to a process, there need to be clear procedures & agreed working practices established. These are normally in a written for, and what else?
Before improvements can be made to a process, there need to be clear procedures and agreed working practices established. These are normally in a written form, such as a process manual.
Additionally, it is important to ensure that all stakeholders involved in the process are aware of the procedures and working practices so that they can be followed correctly. It is also important to have appropriate systems and tools in place to monitor and track process performance, so that potential problems can be identified and addressed quickly. Finally, it is essential to have a system of continuous improvement in place in order to keep the process running smoothly and efficiently.Learn more about working practices at: https://brainly.com/question/24854035
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A 13000 kg truck initially moving at a constant speed of 127/km/h suddenly applies brakes and stops in 13m. How much work has been
done on the truck over this distance?
The work done on the truck over this distance is - 8089390.432J
What is the work done?Mass(m) = 13000 kg,Initial velocity = 127 km/hr
= 635/18 m/s, and
Distance(x) = 13 m to stop
Final velocity = 0 m/s
Work done = Final Kinetic Energy(KE) - Initial Kinetic Energy(KE)We know, KE = [tex]\frac{1}{2} mv^{2}[/tex]
Work done = 1/2 * 13000 * 0 - 1/2 * 13000 * [tex](\frac{635}{18}) ^{2}[/tex]
= 0 - 6500* 1244.521
= - 8089390.432J
The amount of energy that an external force transfers to an object when it moves it over a specific distance is known as the amount of work.The quantity of energy ,that is transmitted to an object via work is known as the work done on the object.Work often has joules as its unit of measurement since it is defined as an amount of transferred energy.To learn more about velocity, refer:
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Compare and contrast intraspecific and interspecific competition. Give an example of each type of competition.
Intraspecific competition occurs between individuals of the same species (e.g., males competing for reproduction) while interspecific competition occurs between individuals of different species (e.g., fish for food resources).
What is Intraspecific competition?Intraspecific competition is competition between members of the same species for resources, such as food, water, and space, which is an important factor in the regulation of population size, as it helps to keep population numbers in balance in the environment.
Therefore, with this data, we can see that intraspecific competition is a kind of competition that happens when members of the same species fight for the same.
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What happens to the kinetic energy of the train of a roller coaster as it moves upwards?.
When a train of a roller coaster moves upwards, the kinetic energy is getting lower. This conclusion is from the principle of conservation of energy.
What is principle of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
E₁ = E₂
KE₁ + U₁ = KE₂ + U₂
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E = mechanical energyKE = kinetic energyU = potential energym = mass of an objectv = speed of objecth = height of objectThe index 1 and 2 shows at point 1 and 2.
Suppose that a train of a roller coaster moves from point 1 at the lowest point and it moves upwards to point 2, at a higher point. When the train moves upwards,
The height of train is getting higher, h₂ > h₁.The speed of the train is decreasing, v₂ < v₁.So, the kinetic energy at point 2 would be
½mv₂ < ½mv₁
It would be lower than the kinetic energy at point 1.
Otherwise the potential energy is getting higher as the height is getting higher.
Thus, the kinetic energy when a train of a roller coaster moves upwards is getting lower.
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What does a negative (-) value of acceleration?.
According to mathematics, a negative acceleration indicates that the velocity will be subtracted from, while a positive acceleration indicates that the velocity will be increased.
You will arrive at a negative number after doing the calculations. This suggests that you actually have your arrow pointed in the wrong direction. Receiving a negative acceleration in these circumstances therefore suggests some form of frame of reference, where positive is moving in one direction and negative in the opposite.
Therefore, having a "negative" acceleration depends on the situation you're in and isn't truly a physical phenomenon. Typically, it just comes from standard mathematical modelling. Let's assume for the sake of argument that travelling right is the POSITIVE + direction.
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a hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. How many second does it take the sndbag to reach the ground
The sandbag takes 0.306 seconds to reach the ground.
To determine the time it takes for the sandbag to reach the ground, we can use the equations of motion:
y = vₒt + (1/2)at²
Where y is the final vertical displacement, vₒ is the initial velocity, t is the time, and a is the acceleration. Since the sandbag is being released from rest, the initial velocity is zero.
y = (1/2)gt²
where g is the acceleration due to gravity, which is approximately 9.8 m/s²
Now we know the acceleration of the hot air balloon is g/4, and we know that the acceleration of the sandbag is g once it is released from the hot air balloon.
We need to find the time when the vertical displacement of the sandbag is the same as the altitude of the hot-air balloon at the time of release.
y = (1/2)(g/4)t² = (1/2)gt²
we can set the two equations equal to each other.
(1/2)(g/4)t² = (1/2)gt²
then we can solve for t
t = (2 * g/4 ) / g = 2/g = 2/9.8 = 0.204 seconds = 0.204 * 1.5 = 0.306 seconds
So the sandbag takes 1.5 seconds to reach the ground.
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Is the acceleration of the ball positive or negative as it falls down?.
Acceleration of the ball is positive as it falls down because there is a gravity that make it faster.
What is constant acceleration?Constant acceleration define as an even more specific type of accelerated moving object. An object that moves with constant acceleration has a speed that changes for the same amount every second. For a finite time, constant acceleration are determine by deviation between initial velocity and the velocity during the end of the counted time. It is formulated as: a = V - Vo * t where Vo is initial velocity, t is counted time, and V is the counted velocity in the end of counted time.
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