The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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A 1070-kg car starts from rest at the bottom of a drive way and has a speed of 3.00 m/s at a point where the drive way has risen a vertical height of 0.600 m. Friction and the drive force produced by the engine are the only two nonconservative forces present. Friction does -2870 J of work. How much work does the engine do
In the question the only nonconservative forces in play are friction and the engine's motive force. Work done by friction is -2870 J. The work done by the engine is 1285 J.
The work done by an engine can be determined by the change in kinetic energy of the car. The work-energy principle states that the net work done on an object is equal to its change in kinetic energy. The initial kinetic energy of the car is 0 J (at rest) and the final kinetic energy of the car is 1/2mv^2, where m is the mass of the car and v is its final speed. The work done by the engine is equal to the change in kinetic energy of the car, which is the final kinetic energy minus the initial kinetic energy.Work_engine = change in kinetic energy = (1/2)mv^2 - 0
Work_engine = (1/2)(1070)(3)^2 = 4155 J. The work done by friction is -2870 J, which is negative because it is opposing the motion of the car. The net work done by nonconservative forces is the sum of the work done by the engine and the work done by friction. Net work = Work_engine + Work_friction = 4155 J + (-2870 J) = 1285 J. Therefore, the work done by the engine is 1285 J.
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A car slows down at -5.00m/s^2 until it comes to a stop after traveling 15.0m. What was the initial speed of the car?
The steady deceleration of a car traveling at 15 m/s starts. After ten seconds, it abruptly ends. starting speed of the vehicle
What is the physics of speed?When subtracting the distance even by travel time, speed is calculated. The distance and time information must be understood in order to calculate the pace units. The measurements in the this case will be performed in meters per second (m/s), as the length was measured in meters and the time is stated in minutes (s).
What connection exists between speed and velocity?Velocity is the rate and direction of an object's motion, whereas speed is the rate at which an object moves along a path over time. In other words, whereas speed is in fact a scalar value, velocity is a vector.
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Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?
Yes. Antimatter, dark matter, dark energy, and degenerate matter are all distinct entities that actually exist in our universe, despite their names sounding hazy and almost fictitious.
Is there a distinction between dark energy and dark matter?Dark energy and dark matter are not the same, despite the name. The only difference is that both are invisible. Galaxies are pushed apart by dark energy, while dark matter holds them together.
Which of the three kinds of dark matter exists?Candidates for dark matter can be either baryonic or non-baryonic, or a combination of the two. Most of the time, the non-baryonic forms fall into two categories: Hot Dark Matter (HDM) and Cold Dark Matter (CDM).
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Roughly what percentage of matter in the universe is identical to the type of matter that comprises the planets and stars
Approximately 27% of everything in the universe is dark matter, with dark energy making up 68%. This means that all the visible matter we can see, including galaxies, stars and planets, only represents 5% of everything that exists.
What is the matter of the universe?The matter of the universe is a complex and ongoing question that scientists are still working to answer. Generally, it is believed that the universe is composed of dark matter, dark energy, and ordinary matter.
Dark energy is thought to be the energy that is causing the universe to expand, while dark matter is an unseen form of matter that is believed to make up about 27% of the universe. Ordinary matter is the form of matter that makes up:
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Why is dynamic stretching recommended before activity?
Dynamic stretching is recommended before activity because it helps to prepare the muscles for the upcoming activity.
It increases range of motion, flexibility, and muscular coordination, and also helps to increase blood flow to the muscles. This helps to improve the performance of the muscles and reduce the risk of injury. Additionally, dynamic stretching helps to improve the overall physical conditioning of an individual, which is beneficial for any type of physical activity.
Dynamic stretching is typically recommended for individuals preparing for physical activity. Dynamic stretching involves movements that gradually increase in range of motion and muscle length, such as arm swings, leg swings, and torso twists.
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8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?
9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?
10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?
Why is 90 degrees the best angle for maximum height and air time?
The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.
This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.
However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.
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a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)
What cells are missing in SCID?
The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.
According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.
X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).
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I would like to know how to find the distance my fake planet is to its sun and the orbital length in measurement using the information I have gathered so far about my made up DnD planet I have searched a million things up and have gotten myself in a loop hole because in order to get X I need to know B and in order to know B I need to either know X or A and if I use the one using A then A needs X in order to find B to find X.
Heres the information:
Day Duration: 36 hours
Orbit Duration: 1.6 Earth years
Year Duration: 389.3... days
Gravity: 9.608 m/s²
Axial Precession: 15,000 years
Axial Tilt: 21.7 to 23.5
Axial Oscillate: 8333.3... years per 0.1 oscillate of 1.8 oscillation
Number of moons: 3
CLimate regions: much similar to earth Temperate regions are
the magority of the planet with tropical at the equator and
subtropical at the poles with seasons changing at the prevernal,
vernal, estival, serotinal, autumnal, and hibernal periods
Radius: 4578.2 (m)
Planet Mass: 3017387649322753000
Circumference: 28765.6789733
It is to be noted that based on the information provided, it is not possible to calculate the distance of the planet from its sun as we need more information about orbit and its eccentricity.
What is Space Orbit distance?The distance of your fictional planet from its sun, and its orbital period, can be calculated using the information you've provided about its day duration, orbit duration, year duration, and radius.
The distance between a planet and its sun is known as an astronomical unit (AU). To calculate the distance in AU, you can use the formula: d = (T² * G * M_sun) / (4 * pπ²)
where T is the planet's orbital period in Earth years, G is the gravitational constant (6.67 x 10^-⁻¹¹ m³ kg^⁻¹ s^⁻²), M_sun is the mass of the sun (2 x 10^30 kg), and pi is the mathematical constant (3.14).To find the orbital period you need to know year duration in seconds and divide it by 365.25 for Earth-based standard.
With that you can calculate the distance of the planet from its sun. The calculation of axial precession, tilt and oscillation etc don't provide information about the distance from its sun or the orbital period, It helps us to understand the planet's rotation around it's axial and the behaviors of the planet's climate because of axial tilt, precession and oscillation
Also, radius, planet mass and circumference also don't provide any information about distance of the planet from its sun or the orbital period as well.
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A truck was traveling at 24 m/s in came to a stop in 8 seconds. What was the truck's average acceleration over
that time period?
-3 m/s²
2 m/s²
3 m/s²
16 m/s²
Answer:
-3 m/sExplanation:
how I don't know I just guessed but now yall knowAn object has a density of 3.25 kg/m?. If it has a total volume of 12.65m?. What is the object's mass?
Answer:
The object's mass is 41.1125 kilograms.
Explanation:
We can use the general density equation to determine the mass.
Density Equation
[tex]p=\frac{m}{V}[/tex]
[tex]p[/tex] is the density
[tex]m[/tex] is the mass
[tex]V[/tex] is the volume
Lets solve for [tex]V[/tex].
Multiply both sides of the equation by [tex]V[/tex].
[tex]p*V=\frac{m}{V}*V[/tex]
Cancel out the common factor of [tex]V[/tex] on the right side.
[tex]pV=m\\m=pV[/tex]
Now we have an equation for mass.
We are given
[tex]p=3.25[/tex]
[tex]V=12.65[/tex]
Substituting our values into our equation gives us
[tex]m=3.25*12.65\\m=41.1125[/tex]
Notice the unit of the given density
[tex]kg/m[/tex]
Our answer will be in kilograms
In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
throws the bus over the horizon while he stays hovering. How does this situation break the law of conservation
of momentum? What should have happened instead? Why?
This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.
It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.
What is the second law ?Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.
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An object with a negative charge of 1.2 mC exerts an attractive force of 13.6 N on a second charged object
0.072 m away. What is the charge and polarity (positive or negative) of the 2nd obiect?
Answer: N 0.072
Explanation:
First thing i did was figure out what the negative charge was originaly
The charge and the polarity of the 2nd object is 0.072 N.
What is Force?Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.
Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.
Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.
Therefore, The charge and the polarity of the 2nd object is 0.072N.
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A worker uses a pulley (Links to an external site.) system to raise a 225 N carton 16.5 m. A force of 129 N is exerted and the rope is pulled 33.0 m. What is the IMA of the system
Answer: 1.74
Explanation: “How do you calculate the mechanical advantage of a block and tackle pulley?To calculate the mechanical advantage, we can either divide the weight of the object being lifted by the force required to lift it or we can divide the amount of rope we have to pull by the distance the object moves."If we use the rope method the mech advantage is 33.0/16.5 = 2 now if we use the forces MA = 225/129 =1.74 <==== this is not equal to '2' as we first found due to energy being lost to friction/deformation of rope etc. SO I would say the truemechanical advantage = 1.74 Efficiency = 1.74/2 = 87%
Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.
when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.
What is a distance?Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.
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Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement
B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.
What is displacement?The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.
Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:
[tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]
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A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.
Answer:
The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.
When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by
F = kx, where k is the spring constant.
The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.
In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.
Therefore, the work done in compressing or stretching a spring is given by
W = Fd = kx * x = kx^2.
The potential energy stored in the spring is equal to the work done to compress or stretch it.
Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.
Substituting kx^2 = 1/2 kx^2, we find that
P.E. = 1/2 kx^2.
This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.
Explanation:
What magnitude of force, in newtons, must an 82.5-kg grouper exert to stay submerged in salt water (with density 1025 kg/m3) if its body density is 1015 kg/m3
The magnitude of force, must an 82.5-kg grouper exert to stay submerged in salt water is 8.12 N.
To find the magnitude of force that the grouper must exert to stay submerged, we can use the buoyancy force equation, which states that the buoyancy force is equal. The buoyancy force is equal to the weight of the fluid displaced, which is the density of the fluid multiplied by the volume of the fluid displaced and the gravitational acceleration. The volume of the fluid displaced is equal to the volume of the object and can be found using the equation of volume of an object. The weight of the object can be found by multiplying the mass of the object and the gravitational acceleration.
The net force on the object is the difference between the buoyancy force and the weight of the object.
= Fb
= V * (density of fluid - density of object) * g
= Fb
= (82.5 kg / (1015 kg/m3) ) * (1025 kg/m3 - 1015 kg/m3) * 9.8 m/s^2
= Fb
= 8.12 N
The magnitude of force that the grouper must exert to stay submerged is 8.12 N
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An argon ion laser emits light at 488 nm. What is the frequency of this radiation
The frequency of the radiation will be 6.098 x 1014 Hz.
The frequency of a radiation is measured in hertz (Hz) and is the number of complete cycles per second of a wave. It is commonly used to measure electromagnetic radiation, such as radio waves and x-rays.
An argon ion laser emits light at a wavelength of 488 nm.
To find the frequency of this radiation, we need to use the equation f = c/λ, where
c is the speed of light (299,792,458 m/s) and
λ is the wavelength in meters.
Plugging in 488 nm (or 0.000488 m) for λ gives us a frequency of 6.098 x 1014 Hz.
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A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring
According to the given information the spring constant is 74.9 J N/m
What are Joules Joules?joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.
What does Joules sell?Established in the British countryside by Tom Joule in 1989, Joules is a true premium lifestyle brand with an authentic heritage. Now a truly multi-channel business, Joules designs and sells clothing, footwear, accessories, homeware, gifting and lifestyle product collections for all the family.
= PEs = 16kx² 234)
= 1/2k(25mm)² K
= 74.9 J N/m
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He watched as night gave way to sunrise, dimming the stars in the sky. What is the meaning of dimming as it is used in the sentence
It is believed that human activity has increased the amount of particulates or aerosols in the atmosphere, including sulfate aerosols.
Dimming: What kind of word is that?dimmed, dimming, verb (used with subject), dimmeddull or make dimmer. to change (a vehicle's headlights) from high to low beam.dimmed, dimming, verb (and use it without object), dimmed
Dim sum – how to use in a sentence?The restaurant's dim sum was quite well-liked.On the weekends, waiters drive a cart that contains the dim sum in the old-fashioned manner.
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In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because
The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.
As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.
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Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race
Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).
Converting the time to seconds, we get 449.45 seconds.
Therefore,
3000 / 449.45 = 12.089 m/s.
This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.
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Does temperature or mass affect thermal energy more?
If the temperature doesn't change but the mass of the object increases, the thermal energy in the object increases.
About Thermal energyThermal energy, which is referred to as heat energy, is produced when there is an increase in temperature. Due to the increase in temperature, the molecules and atoms will move faster. Thermal energy, which is referred to as thermal energy, is generated when there is an increase in temperature. Due to the increase in temperature, the molecules and atoms will move faster.
In fact, they would collide even more quickly. In other words, heat energy can be thought of as a form of energy, which is produced when a substance in which atoms and molecules vibrate at a faster rate, due to an increase in temperature.
How is Thermal Energy GeneratedWith that in mind, you need to understand how thermal energy is produced. That's where you need to dive deeper and look at the definition of thermal energy. In the case of matter, atoms and molecules are moving all the time. When the substance is heated, there will be an increase in temperature. It can force particles to move at a faster speed. As a result, you will be able to see how they meet each other. Heat energy can be said to be a form of energy that comes out of a heated substance.
If a substance is hotter, the science of defining heat energy explains how more particles are moving. As a result, you can also get higher heat energy output.
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What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 150-kilogram object 1.6 meters.
The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules is 1,372J.
What does physics mean by a work done?
In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.
Work done can be computed using the formula:
[tex]w=Fd[/tex]
Where:
W = work (J)
F = Force (N)
d = Distance (d)
Looking at the given, you know that you do not have a value for force, so you will have to solve for it.
[tex]F=Ma[/tex]
Where:
F = Force
m = mass
a = acceleration
Because the object is being lifted, the acceleration will rely on gravity. Acceleration due to gravity is a constant 9.8 m/s^2. Let's list our given first:
F = ?
m = 100kg
a = 9.8m/s^2
Put that into our equation and solve:
[tex]F=mA\\F=100*9.8\\F=980Kg.m/s^{2}[/tex]
Our force is then 980 N.
Now that we have force we can solve for Work. The given for work is as follows:
F= 980N
d = 1.4mPut that into our formula and solve:
[tex]W=Fd[/tex]
[tex]W=(980)*(1.4)\\W=1372[/tex]
The work done is 1,372J.
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Look at the diagram below. Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A.
According to the given statement The variable resistor has a resistance value of 275Ω.
A variable resistor's resistance is, what?A variable resistor's third terminal allows the user to adjust the resistance between zero and a predetermined maximum value. You can notice consistent resistance exists between the terminals 1 and 3 of the variable resistor when the circuit diagram in Figure 4 is closely studied.
Variable resistance: How does it work?Changing the path that current must take allows a variable resistor to function. A conducting metal or ceramic strip that is connected to one area of the circuit is located inside the resistor. Another wire will be moved inside the resistor as you turn the dial.
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The complete question is -
Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A. What is resistance value ?
What 3 things can change a gene pool?
Natural selection, genetic drift, and gene flow are some of the mechanisms that cause changes in allele frequencies over time.
How it affects:Over time, a population's gene pool might change due to evolution. This can be brought on by a variety of mechanisms, including mutations, natural selection, and genetic drift. As a result, the gene pool of the population is altered to better meet the needs of its particular environment.
The four main driving forces of evolution are mutation, natural selection, genetic drift, gene flow, and gene flow. New genetic variety is created by mutation in a gene pool. Genetic drift and gene flow alter the allele frequencies in a gene pool.
A population's gene pool can slowly change over time to produce new types of individuals, a process known as microevolution. Microevolutionary processes include changes in a species' size or color as well as bacteria that are no longer hurt by drugs.
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What is momentum moment Mcq?
Moment of momentum, which describes the rotating inertia of a system moving about an axis, gauges an object's propensity to keep spinning.
How do you gain traction?List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.
Can there be negative momentum?Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.
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What is moment momentum?