Induction proofs always include three components. The foundation, inductive hypothesis, and inductive step are these.
What Makes a Two-Column Proof?1) Mathematical statements are written in the first column.
2) You should list the justifications for your statements in the second column.
3) The sentences are numbered and are presented in a logical sequence.
Any evidence must have both statements and reasons, which are its two essential parts. The statements are the assertions you make throughout your proof that lead to the conclusion that you are trying to support. a methodical explanation that leads to a conclusion concerning a geometric assertion using definitions, axioms, postulates, and previously established theorems. Direct proofs and indirect proofs are the two main categories of proof.
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A 100 N force acts like such away below. if the angle is 30 degree above the horizontal calculate T1 and T2
To calculate T1 and T2, we need to know the force acting on the object and the angle at which it is acting. From the information given, we know that a 100 N force is acting at an angle of 30 degrees above the horizontal.
First, we can use trigonometry to calculate T1, the force acting in the vertical (upwards) direction. We can use the sine function to calculate T1, as sine represents the ratio of the opposite side to the hypotenuse of a right triangle.
T1 = F * sin(theta)
T1 = 100 N * sin(30)
T1 = 50 N
Then we can use the cosine function to calculate T2, the force acting in the horizontal (horizontal) direction.
T2 = F * cos(theta)
T2 = 100 N * cos(30)
T2 = 86.6 N
So T1 = 50 N and T2 = 86.6 N are the force T1 and T2 acting on the object at an angle of 30 degrees above the horizontal.
It is important to note that T1 and T2 are the components of the force F, and the sum of T1 and T2 is the magnitude of the force F.
Answer:
8.660254038x[tex]10^{-3}[/tex]
Explanation:
Using the formula of work
Arrange the following phyla in increaing order of evolution
arthopodo, platyhelminthe, annelide, echinodemata
Phyla in increaing order of evolution is Platyhelminthes, Annelidia, Arthopoda and Echinidermata.
What is meant by Annelidia?
The coelomate, triploblastic, bilaterally symmetric Annelids are invertebrates. For movement, they also have parapodia.This system has undergone a significant modification as a result of cladistic study since 1997, which views leeches as a subgroup of oligochaetes and oligochaetes as a subgroup of polychaetes.Additionally, previously recognized as distinct phyla, the Pogonophora, Echiura, and Sipuncula are now considered to be subgroups of polychaetes. The Lophotrochozoa, a "super-phylum" of protostomes that also includes molluscs, brachiopods, and nemerteans, is thought to include annelids.The fundamental annelid form is divided into several sections. In most polychates, each segment has the same set of organs and a pair of parapodia that many species use for locomotion.To learn more about Annelidia refer to
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identify examples of how globalization has affected the field of anthropology.
Increased exposure to diversity and job opportunities for people in developing countries. Through ethnographic fieldwork, anthropologists change not only the lives of those they are studying, but their own lives
What does "anthropologist" mean?Studying what makes humans human is called anthropology. In order to understand how early human populations lived and what was significant to them, archaeologists look back hundreds or even thousands of years in the past.
What is an anthropologist's job?The history, evolution, and behavior of people are all topics that anthropologists and archaeologists research. In different parts of the world, they look at the cultures, languages, artifacts from archeological digs, and physical traits of the local population.
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How do you improve low latency?.
Optimizing network infrastructure, reducing network hops, caching frequently requested data and using protocols designed for low latency such as UDP.
Optimizing network infrastructure, reducing network hops, caching frequently requested data and using protocols designed for low latency such as UDP can help improve low latency.
Additionally, using a Content Delivery Network (CDN) can help reduce the physical distance data needs to travel, and implementing Quality of Service (QoS) can help prioritize and manage network traffic.
Minimizing the amount of data that needs to be sent, such as by compressing files, can also help reduce latency. Furthermore, reducing the number of devices or intermediaries between the source and destination can also decrease latency.
Finally, using edge computing, where data is processed closer to the source, can also help reduce latency.
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Compare the temperatures of the four pieces of fake glass before they touch. Which pieces are warmer, which pieces are cooler, and are any pieces the same temperature as each other? after the top pieces and bottom pieces have been touching for a while, will the two bottom pieces be the same temperature or different temperatures? explain how their temperatures will compare, and why.
Before they touch, the four pieces of fake glass would have different temperatures.
What is temperatures?Temperatures serve as a gauge for the heat or cold of an object. It is usually measured in degrees Celsius or Fahrenheit. The temperature of the air is one of the most important factors when considering the climate of a geographical area. On a global scale, temperatures can vary greatly depending on location.
Before they touch, the four pieces of fake glass would have different temperatures. The top two pieces would be warmer than the bottom two pieces, since they are closer to the source of heat. The two bottom pieces would be the same temperature since neither of them is directly exposed to the heat source. After the top pieces and bottom pieces have been touching for a while, the two bottom pieces would be the same temperature. This is because heat would have been transferred from the top pieces to the bottom pieces, and over time the temperatures of the two bottom pieces will equalize.
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if you hold a 20 N object off of the ground, how much work are you doing?
The word done will be 120 joules if we lift an object with a force of 20 N off the ground.
How is the work done on an object determined?Work is the application of force to a task. It is directly correlated with both the amount of force applied to the object and its motion. The equation below can be used to calculate work: Work is equal to force times distance. The Newton meter is the SI unit of work (N m).
What is the work of normal force?W = Fd is the formula for the amount of work W that a constant force does on an object. It is determined by multiplying the force's intensity by the distance the object moves in the force's direction.
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Is acceleration down a ramp negative?.
The acceleration dawn a ramp is not negative because when an object dawn from a ramp is in the same direction with gravity which is make the object get faster or has positive acceleration.
What is law of motion for acceleration ?In law of motion, Constant acceleration define as an even more specific type of accelerated moving object. An object which moves with constant acceleration has a speed which 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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When communicating with apollo astronauts, scientists on earth use radio waves and the "over to you" method of communication. This method must be used because of the delay in communication. This delay is due to the.
When communicating with Apollo astronauts, scientists on earth use radio waves and the "over to you" method of communication. This method must be used because of the delay in communication. This delay is due to the: distance of the moon and the speed of the electromagnetic waves
What is electromagnetic waves?The oscillations between an electric field and a magnetic field produce electromagnetic waves, often known as EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic waves. Since the electric and magnetic fields are oscillating, the energy waves are known as electromagnetic (EM) waves. They are categorized by scientists according to their frequency or wavelength, moving from high frequency to low frequency (short to long wavelength).
A magnetic core may make an electromagnetic coil's magnetic field several hundred times stronger than it would be without one. However, there are drawbacks to magnetic cores that need to be considered.
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What is Newton's gravitational constant G write down its numerical value and SI unit?.
The S.I value of Newton's gravitational constant G will be 6.674×10⁻¹¹ (Newton.meter².kg⁻²) .
The gravitational constant, denoted by the capital letter G and also known as the universal gravitational constant, Newtonian constant of gravitation, or Cavendish gravitational constant, is an empirical physical constant that is used to calculate the gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.
It is the proportionality constant in Newton's law that links the gravitational force between two bodies to the sum of their respective masses and the square root of their distance. It quantifies the relationship between the energy-momentum tensor and the spacetime geometry in the Einstein field equations (also referred to as the stress–energy tensor).
We can reasonably say that we know the measured value of the constant to four significant digits. SI units is 6.674 ×10⁻¹¹(Newton.meter².kg⁻²) .
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3. How far could a horse with an average speed of 15 m/s run in: (a) 10 s? (b) 1 minute?
Answer:
10s A horse with an average speed of 15 m/s run.
Hope it helps! :)
How many laws of physics are there?.
The number of laws of physics can vary depending on how they are defined and categorized. In general, there are four fundamental forces of nature that govern the behaviour of matter and energy: gravity, electromagnetism, the strong nuclear force, and the weak nuclear force.
These forces are described by a set of mathematical equations, known as laws of physics, that predict how objects will behave under different conditions. Additionally, there are many other physical principles and laws that have been discovered and developed over time to explain a wide range of phenomena, such as the laws of thermodynamics, the laws of motion, quantum mechanics, and special and general relativity.
Overall, the number of laws of physics is considered to be vast and diverse.
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After landing on mars, you drop a marker from the door of your landing module and observe that it takes 2.1 s to fall to the ground. when you dropped the marker from the module door on earth, it took 1.3 s to hit the ground.
What is the magnitude of the acceleration due to gravity near the surface of Mars?
You drop an marker from your landing module's door after touching down on Mars and make note of it. The acceleration of the object on Mars but on average is 3.72076 ms2, which is 38% of the acceleration on Earth.
Is acceleration similar to acceleration in magnitude?Alternatively said, acceleration is really a vector. The vector's magnitude equals its length. The vector's direction determines its direction. As a result, the amplitude of the speed is the same as the acceleration vector's magnitude, and vice versa for the acceleration's direction.
What is the name for the amount of acceleration?Answer and justification The measure of acceleration is measured in meters / second squared. Acceleration involves both velocity and time, hence it's critical that the Both factors are reflected in units. Since velocity is indeed a vector, it possesses both a magnitude and a direction.
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What is the force of friction experienced as a 2 kg steel block is pulled across a steel surface?
The force that is acting on the block is 19.l6 N
What is the force?We have to know that the weight of the object is a force that is acting along the rope that is pulling the object. We must be able to note that the tension is the force that is acting along the rope that is pulling the object.
Now the weight of the steel block is going to act as a force of tension on the rope that is pulling the block.
We now have to know that the force is obtained from;
Force = mg
m = mass
g = acceleration due to gravity
F = 2 Kg * 9.8 m/s^2
= 19.6 N
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PLEASE HELP WILL GIVE 20 POINTS TO THE ANSWER!!! A 3000 kg car is moving east at 15 m/s with
another 2200 kg car moving west at 10 m/S
If the 2 cars collide and stick together, what speed and direction will they travel?
Answer:
4.42 m/s EAST
Explanation:
Conservation of Momentum Law: total momentum before the collision must equal the total momentum after the collision.
Momentum = P = mv
East is the positive direction.
(3000 kg)(15 m/s) - (2200 kg)(10 m/s) = (3000 kg + 2200 kg)v
45,000 kg·m/s - 22,000 kg·m/s = (5200 kg)v
23,000 kg·m/s = (5200 kg)v
v = (23,000 kg·m/s) / 5200 kg = 4.42 m/s EAST
The direction is east because the final velocity is (+)
What is the increase in temperature of a 200g block of metal of specific heat capacity 400J/(kg ℃) when 1500J heat energy is supplied?
Answer:
18.75 °C
Explanation:
Q = mcΔT
ΔT = Q / (mc)
convert g → kg
200 g = 0.20 kg
ΔT = (1500 J) / (0.20 kg)(400 J/kg·°C) = 18.75 °C
Taking into account the definition of calorimetry, the increase in temperature is 18.75°C.
Definition of calorimetryCalorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
In this way, between heat and temperature there is a direct proportional relationship, where the constant of proportionality depends on the substance that constitutes the body and its mass.
The equation that allows to calculate heat exchanges is:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance c.ΔT is the temperature variation.Increase in temperature in this caseIn this case:
Q= 1500 Jc= 400 J/(kg °C)m= 200 g= 0.200 kg (being 1000 g= 1 kg)ΔT= ?Replacing in the definition of calorimetry:
1500 J= 400 J/(kg °C)× 0.200 g× ΔT
Solving:
1500 J÷ [400 J/(kg °C)× 0.200 g]= ΔT
18.75 °C= ΔT
In summary, the temperature variation is 18.75°C.
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What are Newton's 1st 2nd and 3rd laws of motion 8th grade?.
According to the first law, until a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.
Law of inertia is another name for the first law of Newton. For instance, when the bus driver suddenly applies the breaks while we are riding, we often experience a brief pull to the front. The law of inertia is to blame for the sudden movement that the bus's occupants experienced. Our body keeps moving even after the bus stops because of the inertia of motion, which causes us to move ahead.
Hitting a ball is an example of the second law of motion. When we kick a ball, we direct force in a specific direction.
The third rule is demonstrated by a book laying on a table, which exerts a downward force equal to its weight on the surface.
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What is the magnitude of vector AxB?.
The magnitude of vector AxB = |AxB| = A B sinθ, like the dot product, is the angle formed by the vectors A and B when drawn tail-to-tail.
AxB represents the cross product (or vector product) of two vectors A and B. A cross-product produces a new vector. We must determine its magnitude and direction.
Direction: AxB is perpendicular to the plane defined by A and B.
To determine whether it is pointing into or out of the plane, use the right-hand rule (RHR).
RHR (right-hand rule): This is how it works. Consider an axis perpendicular to the plane that runs through the tails of A and B. With your fingers, grasp the axis.
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Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.
The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
The force on particle q2 due to q1 will be:
F1 = k * (q1 * q2) / (0.980m)^2
The force on particle q2 due to q3 will be:
F2 = k * (q2 * q3) / (0.750m)^2
The net force acting on q2 will be the vector sum of F1 and F2.
Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.
Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.
Claire tand at the ide of the wimming pool ready to run into a diving board
What energy i in her body
Claire likely has a combination of potential energy, which is stored energy, and kinetic energy, which is energy in motion.
What is kinetic energy?The energy a body has as a result of its motion is known as kinetic energy. It is the energy required to move an object from one place to another. It is the energy of motion and is often referred to as being “in motion”. Kinetic energy is proportional to the mass of an object and the square of its velocity. Kinetic energy is often used in physics to describe the energy of objects moving in a given direction.
Her potential energy is due to the fact that she is standing at the edge of the pool, while her kinetic energy is due to the fact that she is ready to run into the diving board.
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A student wants to design an experiment to study the transformation of mechanical energy. Which object can be used to investigate how gravitational potential energy transforms into kinetic energy?.
A student wants to design an experiment to study the transformation of mechanical energy, a slide can be used to investigate how gravitational potential energy transforms into kinetic energy.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles. Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
Kinetic energy of an object can be expressed in terms of its mass m and velocity v as:
K.E = 1/2 × m × v²
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The complete question is as follows:
A student wants to design an experiment to study the transformation of mechanical energy. Which object can be used to investigate how gravitational potential energy transforms into kinetic energy?(1 point)
a spring
a flat race car track
a slide
a rug
How do I solve this?
(a) The coefficient of static friction between the tires and the road is 0.84.
(b) You don't need the mass to find the coefficient of static friction because the coefficient of static friction depends on speed of the car, radius of the road and acceleration due to gravity.
What is the coefficient of friction?
The coefficient of static friction between the tires and the road is calculated as follows;
static friction force = centripetal force
μmg = mv²/r
μg = v²/r
μ = ( v² ) / ( gr )
where;
v is the speed of the carr is the radius of the curveg is acceleration due to gravityThe coefficient of static friction between the tires and the road is calculated as;
μ = (26.5 ² ) / ( 9.8 x 85 )
μ = 0.84
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How do you find the kinetic and potential energy of a roller coaster?.
To find the kinetic and potential energy of a roller coaster, we should know the velocity and the height at a certain point. It is from the concept of conservation of energy.
What is law 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 = velocity of objecth = height of objectThe index 1 and 2 shows at point 1 and 2.
A roller coaster moving up and down has potential and kinetic energy. It has different potential and kinetic energy at different point.
For example, see the point 1 and point 2 in the illustration picture attached.
At point 1, the kinetic energy has a velocity of v₁ and the potential energy has a height of h₁. At point 2, the kinetic energy has a velocity of v₂ and potential energy has a height of h₂.
Thus, a roller coaster at a certain point has a velocity and height so that we can find the kinetic and potential energy.
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How many chromosomes are present in each cell after the completion of meiosis nondisjunction?.
After the completion of meiosis nondisjunction, 2 of the four daughter cells will have a normal complement of 23 chromosomes and the other two daughter cells will be aneuploid, one with n+1 and other with n-1 chromosomes.
The cell cycle has two main parts which is-
The Interphase and mitosis/meiosis. Interphase is further subdivided into three other phases.
Nondisjunction can occur during either mitosis or meiosis, but the effects of meiosis are more widely studied because they have a direct impact on the offspring. Meiosis, also known as reductional division, is the process by which chromosome numbers are reduced and haploid gametes are produced. Gametes are sex cells that merge during sexual reproduction to produce new, unique offspring — eggs in females and sperm in males. Nondisjunction creates gametes with abnormal chromosome numbers, which result in offspring with ploidy numbers after fertilization.
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What is momentum known for?.
Momentum describes the relationship between an object's mass, velocity, and direction. Any change in momentum generates force. As a result, a change in momentum is used to calculate the force acting on the object.
What is momentum?It is measured by "mass velocity," because momentum is affected by velocity and the direction of the body's motion. Because velocity is a vector and mass is a scalar quantity, momentum is a vector quantity. Momentum is defined as mass multiplied by velocity. The definition of momentum is "mass moving." Because all objects have mass, when they move, they have momentum - their mass is in motion. Momentum is a moving body's amount of motion, calculated as the product of its mass and velocity. It has the formula mass velocity.
Here,
The relationship between an object's mass, velocity, and direction is described by momentum. Any change in momentum results in the generation of force. As a result, the force acting on the object is calculated using a change in momentum.
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Explain why two objects with the same mass, when dropped from the same height, may not reach the ground at the same time
This is because the Earth gives the same acceleration to everything, objects with different masses will still hit the ground at the same time if they are dropped from the same height.
What is Acceleration?Acceleration is defined as the rate of change of velocity of an object, which is a vector quantity as well as direction, with respect to time. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
Two objects of equal mass cannot reach the ground at the same time when they have different sizes, shapes or densities, as these factors can affect their air resistance and terminal velocity so that they travel at different speeds.
Thus, this is because the Earth gives the same acceleration to everything, objects with different masses will still hit the ground at the same time if they are dropped from the same height.
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What is the formula for acceleration down a slope?.
The formula for acceleration down a slope is a = g * sinθ where g is gravity and sinθ is an angle of the slope with horizontal field.
Where did the formula come from?The formula is come from comparing two force formula that are F = m * a and F = m*g cosθ where m is mass of the object and g is gravity. The creation of the formula are made like this :
F = m*g sinθ
m * a = m*g sinθ delete the same variable
a = g sinθ
Since sinθ is define as cos(90 - θ), the formula can be written as
a = g cos(90 - θ)
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The back of a loaded pickup truck is open.
A car rear-ends the pickup truck, causing its load to spill. Explain the event in terms of Newton's laws.
The load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car.
Newton's first law states that an object at rest will remain at rest unless acted upon by an unbalanced force. In this scenario, the load of the pickup truck is at rest in the back of the truck, but when the car rear-ends the pickup truck, it applies an unbalanced force on the load, causing it to spill out of the truck.
Newton's second law states that the force applied on an object is equal to the mass of the object multiplied by its acceleration. In this scenario, the car applies a force on the load of the pickup truck, which is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. The force causes the load to spill out of the truck.
Newton's third law states that for every action, there is an equal and opposite reaction. In this scenario, when the car rear-ends the pickup truck, the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
In summary, the load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car. The force applied on the load of the pickup truck is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. And the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
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Does mass depend on size?.
No, mass and size are two different physical quantities that do not have any direct relationship.
Mass is a scalar quantity that measures the amount of matter in an object and is independent of its location or motion. It is the total amount of matter in an object, and it doesn't change when the object is compressed or expanded.
Size, on the other hand, is a measure of how big an object is. It can be defined in terms of length, width, and height, and it can change if the object is compressed or expanded.
So, mass does not depend on size, and size does not depend on mass. They are independent physical quantities that are used to describe different aspects of an object. For example, the mass of an object determines its inertia and gravitational attraction, while the size of an object determines the amount of space it occupies.
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What has a weight of 9. 8 newtons?.
Gravity accelerates objects by 9.8 meters per second per second on Earth's surface, making the force acting on a kilogrammes = 1 kg x 9.8 m/s² will be 9.8 Newtons.
But keep in mind that this only applies to Earth's surface. In space, where there is no gravitational acceleration, a mass of 1 kg has a weight of 1 kg 0 m/s² = 0 Newtons.
The Moon's gravity creates sublunar tides in the oceans (the corresponding antipodal tide is caused by the inertia of the Earth and Moon orbiting one another). Additionally, gravity is a key factor in a variety of biological processes, such as gravitropism, which controls plant development, and the fluid movement in multicellular organisms. Research on the consequences of weightlessness indicates that gravity may have an impact on how the immune system and cells differentiate in the human body.Gravity is responsible for many of the large-scale structures in the universe because it allowed the initial gaseous matter to consolidate and form stars, which then condensed into galaxies.
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two negatively charged objects are 2 meters apart. the student adds electrons through conduction to one of the objects. complete the statement to describe how the magnitude of the electrical and gravitational force is affected.
When the student adds electrons through conduction to one of the objects, the magnitude of the electrical force between the two negatively charged objects will increase.
This is because the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. As the charge on one of the objects increases, the electrical force between the two objects will increase.
The magnitude of the gravitational force, however, will not be affected. The gravitational force is a force of attraction between two objects due to their masses. As electrons have a negligibly small mass, adding or removing electrons from an object will not affect the gravitational force between the two objects.
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