If the ore is tossed overboard, then the water level in the lock will remain the same.
In the above situation, Archimedes’ Principle is used.
It was given by a Greek Scientist, Archimedes in 246 CE.
According to this principle, the upward buoyant force on a body that is exerted on a body immersed in a liquid is equal to the weight of the liquid displaced by the body.
The formula for Buoyant force is given by the following formula
Force = ρ x g x v
Here ρ = density of the fluid
g = acceleration due to gravity
v = Volume of the fluid
Thus, When the ore is tossed overboard, then it displaces water equal to its weight, so the water level remains the same.
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Two joggers run at a constant velocity of 7.5 m/s to the east. At t=0s one jogger is 15 m east of the origin, the other is 15 m west of the origin. How would their position-time graphs look different?
The position-time graphs of the two joggers will look like a rectangle at the given time period.
What is position time graph?A position time graph is a type of graph in which the position x of a particle is plotted on the y-axis and the time t on the x-axis.
The position time graph of the two jogger can be sketched as follows;
| | |
| | |
| | |
|-----------------------------------------|----------------------------------------|
15 m(west) 15 m(east)
The position of both joggers will be same after the given time but their direction will be different.
Thus, the position-time graphs of the two joggers will look like a rectangle at the given time period.
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Three identical capacitors are connected in series across a potential source (battery). if a charge of q flows into this combination of capacitors, how much charge does each capacitor carry?
The charge on each capacitor is Q.
Capacitor is device which stored electrical energy i.e. the ratio of charge (Q) given to the potential difference (V) applied across the conductors.
C = Q/V.
Therefore the capacitance of each capacitor is C₁ , C₂, C₃ and their equivalent be Ceq. These capacitance are connected in series, thus the charge on each capacitance is Q.
When connected across a source such as battery, the potential difference of battery is V and divided across each component as V₁, V₂, V₃. Then the total potential difference V is written as ,
V = V₁+V₂+V₃
V=Q/C
Then for equivalent capacitance Ceq in series combination is written as,
Q/Ceq= Q/C₁+ Q/C₂ +Q/C₃
According to the principle of conservation of charge . so that charge Q is same for each capacitance
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To find the population after seven days, substitute t = 7 into the equation and simplify. (round your answer to the nearest whole number.) p(7) = 5e7k
The population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
We have the following function -
p(t) = 5 [tex]$e^{tk} }[/tex]
We have to determine the total population after 7 days.
What is the general meaning of Growth rate?In general, growth rate is the measurement of how fast something increases in size during a particular period.
According to the question, we have -
p(t) = 5 [tex]$e^{tk} }[/tex]
Now -
for t = 7 -
p(7) = 5 [tex]$e^{7k} }[/tex]
where k is growth rate.
Hence, the population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
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A 3.53-g sample of aluminum completely reacts with oxygen to form 6.67 g of aluminum oxide. find percent composition
The mass percent composition of aluminum is 52.9% in aluminum oxide.
Mass of the aluminum = 3.53 g
Mass of the aluminum oxide = 6.67 g.
The mass percent of a substance is the mass of the substance divided by the mass of the compound into 100.
Aluminum reacts with oxygen to form aluminum oxide.
The overall balanced equation for the reaction is,
[tex]Aluminum + Oxygen→Aluminum \: oxygen[/tex]
[tex]4Al +3O _{2}→2Al _{2}O _{3}[/tex]
The mass percent composition of aluminum in the aluminum oxide is,
[tex]Mass \: percent = \frac{ Mass \: of \: the \: substance}{ Mass \: of \: the \: compound} \times 100 [/tex]
[tex]Mass \: percent = \frac{Mass \: of \: the \: aluminum}{ Mass \: of \: the \: aluminum \: oxide } \times 100[/tex]
[tex]Mass \: percent = \frac{3.53}{6.67 } \times 100 [/tex]
= 52.9 %
Therefore, the mass percent composition of aluminum is 52.9% in aluminum oxide.
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Which of the following statements best describes what the phrase "rate of
change" means in the context of this lab?
O How often a quantity's magnitude changes.
O The difference in some quantity over some period of time (for example, velocity is the "rate of
change" in position).
O The span of time over which a quantity's value has changed.
O The speed at which coins roll away from you when dropped from a pocket.
The change in the difference in some quantity over some period of time (for example,
acceleration is the "rate of change" in position).
The following statements which best describes what the phrase "rate of change" is the difference in some quantity over some period of time and is denoted as option B.
What is Rate?This is referred to as the ratio between quantities such as velocity, acceleration etc. This is because velocity is referred to as the rate of change of displacement with time and the S.I unit is referred to as metre per second.
This is therefore the reason why difference in some quantity over some period of time was chosen as the most appropriate choice in this type of scenario.
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The function s(t) represents the position of an object. suppose s(2) = 125 and s(4) = 175. find the average velovity of the object over the interval of time [2,4]
The average velocity of the object = 25m/s
CalculationIt is given that s (2) = 125
s (4) = 175
and we have to find average velocity of the object over the interval of time [2,4]
Using two-point formula, we have
[tex]\frac{s-125}{175-125}[/tex] = [tex]\frac{t-2}{4-2}[/tex]
s = 25t -50 + 125
s = 25t + 75 gives the position of t
Then average velocity in the interval [2,4]
[tex]\frac{1}{4-2}[/tex](s(4) - s(2))
=[tex]\frac{1}{2}[/tex][100 + 75 - 50 - 75]
= 25
By average velocity, what do you mean?The change in position or displacement (x) divided by the time intervals (t) during which the displacement occurs is the definition of average velocity.
Based on the direction of the displacement, the average velocity might either be positive or negative.
Meters per second (m/s or ms-1) is the SI measure for average velocity. Athletes who practice by running five miles north, for instance, are likely to change their speed at different points in the course of the run.
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In order to have a non-zero value of
acceleration, the object must change
speed.
True
False
What sequence of two displacements moves from (5,5) m to (-5,-5) m while traveling a
distance of exactly 20 meters? How does this distance compare to the single displacement that
connects the same starting and ending point?
A distance of 20 m is greater than a single displacement of 14.14 m that connects the same starting and ending point.
What is the displacement of the sequence?
The displacement of the sequence is calculated as follows;
Δx = √[(x₂ - x₁)² + (y₂ - y₁)²]
Δx = √[(-5 - 5)² + (-5 - 5)²]
Δx = 14.14 m
Thus, we can conclude that a distance of 20 m is greater than a single displacement of 14.14 m that connects the same starting and ending point.
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What is Issac Newton’s
Laws,
According to the first rule of motion, an object's motion will not alter unless there is a force acting on it.
According to the second law of motion, the amount of force exerted on an object is proportional to the product of the object's mass and its acceleration.
According to the third law, when two things interact with one other, the forces that they apply to each other are of equal magnitude but in opposing directions.
This is further explained below.
Who is Issac Newton?Generally, Isaac Newton, as he was formally known, was an English physicist and mathematician who was the leading light of the 17th century's Scientific Revolution.
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Answer:
look it up
Explanation:
An extensible wire that obeys looks low it stands by 5.00 mm when it's elastic potential energy is 50j. calculate the value for force constant of the wire
By using Hooke's Law, the force constant is 4 x 10⁶ N/m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The potential energy of spring can be determined as
PE = 1/2 . k . x²
where PE is potential energy
From the question above, we know that
x = 5 mm = 0.005 m
PE = 50 joule
By substituting the given parameter, we can calculate the force constant of the wire
PE = 1/2 . k . x²
50 = 1/2 . k . (0.005)²
k = 4 x 10⁶ N/m
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A 1.00 l sample of water contains 0.0056 g of nh2- ions. determine the concentration of nh2- ions in ppm if the density of the solution is 1.00 g/ml.
In ppm the concentration of NH2- ions is 5.6 ppm.
We have 1 L sample of water contains 0.0056 g of NH2- ions.
We have to determine the concentration of NH2- ions in ppm.
What is PPM ?PPM is a term used in chemistry to denote a very, very low concentration of a solution.
According to the question -
Mass of the aqueous solution of NH2- ions → density x volume →
1 L x 1000 mL x 1 g/mL = 1000g
Now, the ratio of chloride ion mass to the solution mass will give the concentration of NH2- ions →
c = 0.0056/1000
Now, in order to express the concentration in parts per million -
c = (0.0056/0.001 x 10⁶) = 5.6/10⁶
Now -
c = 5.6 g of NH2- ions per 1 million grams of solution which is equal to concentration in ppm.
Hence, in ppm the concentration of NH2- ions is 5.6 ppm.
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A generic protein comprising 387 amino acid residues will have an estimated molecular mass of:____.
A generic protein comprising 387 amino acid residues will have an estimated molecular mass estimate of 42570 daltons.
What is a protein?Large biomolecules and macromolecules known as proteins are made up of one or more extended chains of amino acid residues. Proteins play a variety of roles in living things, including accelerating metabolic reactions, reproducing DNA, responding to stimuli, providing cells and organisms structure, and transporting chemicals. A linear chain of amino acid residues is referred to as a polypeptide. Proteins differ from one another primarily in their amino acid sequence, which is determined by the nucleotide sequence of their genes and typically results in protein folding into a specific 3D structure that determines its activity. At least one lengthy polypeptide is present in every protein.
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An ideal step-up transformer doubles a primary voltage of 110 v. what is the ratio of the number of turns in its primary coil to the number of turns in the secondary coil?
Ratio of the no. of turns in primary coil to the no. of turns in the secondary coil is 1:2
Transformer -
A device used in the power transmission of electric power.
It is commonly used to increase or decrease the supply voltage without changing the frequency of AC b/w circuit.
In simple word transformer is a thing that steps up or steps down voltage.
In step up transformer-
The output voltage is increased.
The secondary output voltage is higher that primary voltage.
In step down transformer-
The output voltage is decreased.
These are used to convert the high voltage primary supply to low voltage secondary output.
In step up transformer
N₁/N₂= V2/V₁= I₁/I₂ (equation 1.)
A ideal step up transformer double the primary voltage
Then Vs = 2 Vp
Using in equation 1. We get
Vp/Vs = N1/N2
Vp/2Vp = N1/N2
N1/N2 = 1/2
N1 : N2 = 1:2
Ratio of the no. of turns in primary coil to the no. of turns in the secondary coil is 1:2
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Indicate the correct order of steps as you bring an object into focus under high power.
Whenever you wish to bring an object into focus under high power, the correct order of steps are as listed below:
"Place slide on stage and secure with stage clips.""Turn on the light and center the specimen over the light source.""Focus specimen on low power using coarse focus adjustment.""Use fine focus to sharpen the image under low power.""Rotate high power lens into position.""Readjust fine focus under high power to produce the sharpest image."What is a microscope?A microscope can be defined as an optical device that is typically designed and developed to produce a magnified (an enlarged) image of a minute (very tiny) object, so as to show all the littlest and tiniest details about the object which cannot be seen by the natural human eye.
The types of microscopes.In Science, there are different types of microscope used for magnifying an object and these include the following:
Polarizing microscope.Transmission electron microscope.Inverted microscope.Scanning electron microscope.Compound light microscope.In conclusion, you should use the coarse focus adjustment to focus the specimen on low power and then, ensure that fine focus is readjusted under high power in order to produce the sharpest image of this specimen.
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Complete Question:
Indicate the correct order of steps as you bring an object into focus under high power. Rank the options below.
Place slide on stage and secure with stage clips.
Focus specimen on low power using coarse focus adjustment.
Use fine focus to sharpen the image under low power.
Readjust fine focus under high power to produce the sharpest image.
Rotate high power lens into position.
Turn on the light and center the specimen over the light source.
A car goes through a circular highway ramp while maintaining constant speed. the correct statement is:_____.
A car goes through a circular highway ramp while maintaining constant speed. The correct statement is the velocity of the car is zero.
What is Velocity?This is defined as the rate of change of distance with time and is a vector quantity which measures both the rate and the direction of the motion.
A car maintaining constant speed means that distance covered is also 0m and the formula for velocity is distance / time.
This therefore means that velocity = 0m / 5s where time can be any digit.
This will result in the velocity being zero which is therefore the reason why it was chosen as the correct choice.
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The conventional system of signs that indicate relative durations of long and short sounds is called.
Musical notation is the term used to describe the common system of signs used to denote the relative duration of long and short sounds.
What is a musical notation?Music notation, often known as musical notation, is any technique used to graphically express audibly perceived music performed with instruments or sung by a human voice using written, printed, or other symbol-based representations. This includes notation for periods of silence like rests.
Throughout history, many civilizations have used different types of notation, and the knowledge of early musical notation is generally sparse. Different musical genres and cultural groups employ various methods of music notation, even during the same time period, such as the 2010s. For instance, while sheet music with staves and note-heads is the most popular method for professional classical musicians, the Nashville Number System is the main method used by professional country music session musicians.
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A certain reaction has an activation energy of 33.09 kj/mol.33.09 kj/mol. at what kelvin temperature will the reaction proceed 3.503.50 times faster than it did at 359 k?
At 8.3145 k temperature will the reaction proceed 3.503.50 times faster than it did at 359 k.
What is activation energy?Enactment energy is the base measure of energy expected to start a response. It is the level of the potential energy obstruction between the potential energy minima of the reactants and items. Actuation energy is indicated by E and normally has units of kilojoules per mole (kJ/mol) or kilocalories per mole (kcal/mol). Regardless of whether the energy of reactants is more prominent than that of its items and the outcome is a general loss of energy, energy actually should be input at first for the response to happen. Nonetheless, in a large number of the cases in which a response is thermodynamically plausible it has likewise demonstrated conceivable to track down an impetus, dynamic and particular enough to understand this response.
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Elements that naturally exist as two atoms are called _____.
A) biatomic
B) bimolecular
C) dimolecular
D) diatomic
Answer:
D) diatomic
Explanation:
Diatomic elements form molecules with two atoms together.
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Electrical insulating gloves marked with a yellow label have a maximum use voltage level of _____ v.
Electrical insulating gloves marked with a yellow label have a maximum use voltage level of 17000 V.
What is an electrical insulator?Electric current cannot readily travel through an electrical. Due to their closely bonded state, the insulator's atoms' electrons are immobile. Electric current can flow through other materials more easily, such as semiconductors and conductors. Insulators have higher resistivities than semiconductors or conductors, which makes them stand out from other materials. Non-metallic are the most typical examples.
Since even insulators contain minute amounts of mobile charges (charge carriers) that can carry current, a perfect insulator does not exist. A sufficiently high voltage is supplied to cause the electric field to pull electrons from atoms, which causes all insulators to turn electrically conductive. An insulator's breakdown voltage is what this is.
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Which term best describes a soft drink?
a) heterogeneous mixture
b) pure substance
c) homogeneous mixture
d) compound
A soft drink is a homogeneous mixture.
All of the ingredients in a homogeneous mixture are dispersed equally, and in soft drinks, ingredients including sugar, carbon dioxide, and water combine to produce a single phase. A soft drink is therefore an uniform composition.
Mixtures are the combination of substances ?A mixture could be homogeneous or heterogeneous.
A mixture refers to a combination of two or more substances that are not chemically combined together. They may be solids, liquids or gases.
A mixture may be composed of substances in the same phase or different phases. If substances are combined in the same phase to form a mixture then the mixture is homogeneous. If substances in different phases combine to give a mixture then the mixture is heterogeneous.
Examples of homogeneous mixtures are salt and water solutions while examples of heterogeneous mixtures are sand and water as well as oil and water.
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Assume the boxer punching the punching bag is the action. according to newton's 3rd law, what is the reaction?
The reaction is the force that the punching bag exerts on the boxer.
What is reaction?According to the Newtons third law of motion, action and reaction are equal and opposite. This implies that when force is exerted on a body, the body exerts the same magnitude of force back but in a different direction. Thus is why a gun recoils after the bullet has been shot.
Having known that action and reaction are equal and opposite, assuming that the boxer punching the punching bag is the action, the reaction is the force that the punching bag exerts on the boxer.
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The fuel for a jet engine has a density of 1.32 slug/ft3. if the total volume of fuel tank a is 50 ft3, determine the weight of the fuel when the tanks are completely full?
The weight of the fuel when the tank is filled is 2.13 kip.
The density of the fuel of the jet engine= 1.32 slug/ft³
The total volume of the fuel that can be filled in the fuel tank of a jet engine = 50 ft³
The specific weight of the fuel when the tank is filled is,
[tex] \gamma = p \times g[/tex]
[tex] \gamma = 1.32 \times 32.2[/tex]
[tex] \gamma = 42.504 \: ib/ft ^{3} [/tex]
The specific weight of the fuel when the tank is filled is 42.504 ib/ft ³.
The weight of the fuel when the tank is filled is,
[tex]w = \gamma \times ∀[/tex]
[tex]w = 42.5.4 \times 50[/tex]
[tex]w = 2.13 \: kip[/tex]
The weight of the fuel is 2.13 kip.
Therefore, the weight of the fuel when the tank is filled is 2.13 kip.
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What are the four major elements in the body
The correct answer is Oxygen (65%) Carbon (18.5%) Hydrogen (9.5%) Nitrogen (3.2%).
Oxygen (O) - 65% - Oxygen and hydrogen combine to make water, which serves as the body's main solvent and a mechanism for controlling temperature and osmotic pressure. Numerous important chemical molecules include oxygen.
With four bonding sites for other atoms, carbon (C), which accounts up 18.5% of the composition, is the important atom in organic chemistry. Proteins, nucleic acids, carbohydrates, and lipids are all composed of carbon chains. Bonds made of carbon may be ruptured to release energy.
Hydrogen (H) - 9.5% - All organic compounds and water both include hydrogen.
Nitrogen (N) - 3.2% The nucleic acids that make up the genetic code and proteins both include nitrogen.
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the energy flux associated with solar radiation incident on the outer surface of the earth's atmosphere has been accurately measured and is known to be 1368 w/m2 . the diameters of the sun and earth are 1.39 × 109 and 1.27 × 107 m, respectively, and the distance between the sun and the earth is 1.5 × 1011 m.
The emission power of sun is 3.868 * [tex]10^{26}[/tex] W
We know that,
Energy flux on earth = Emission power of sun / 4 π [tex]r^{2}[/tex]
where,
r = Distance between sun and earth
Given that,
Energy flux on earth = 1368 W / [tex]m^{2}[/tex]
Diameter of sun = 1.39 * [tex]10^{9}[/tex] m
Diameter of earth = 1.27 * [tex]10^{7}[/tex] m
r = 1.5 * [tex]10^{11}[/tex] m
Emission power of sun = 1368 * 4 * 3.14 * ( 1.5 * [tex]10^{11}[/tex] [tex])^{2}[/tex]
= 1368 * 2.828 * [tex]10^{23}[/tex]
Emission power of sun = 3.868 * [tex]10^{26}[/tex] W
Energy flux is the rate of transfer of energy through a surface. The unit of total rate of energy transfer is W = J / s. The unit of specific rate of energy transfer is W / [tex]m^{2}[/tex] = J / [tex]m^{2}[/tex] s
Therefore, The emission power of sun is 3.868 * [tex]10^{26}[/tex] W
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Rodney wants to motivate his sales force to increase sales in the upcoming quarter. which channel should he choose to be the most persuasive?
In order to be most persuasive and to motivate his sales force to increase sales in the upcoming quarter, Rodney should choose a face-to-face group meeting.
Why is Face-face communication more effective?Face-to-face communication is more effective because seeing each other allows a person to understand each other’s body language and pick up on nonverbal cues.
This is important because a lot of communication can be made through non-verbal means just by observing body language.
During a face-to-face meeting, you have the ability to manipulate and attract the group’s attention and establish a sense of trust that allows for easy persuasion to the group.
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CS
A bicyclist steadily speeds up from rest to 9.00m/s in 3.10s.
How far did she travel during this time?
unit
The magnitude of f is 302 newtons and it points at 149o measured counterclockwise from the positive x-axis. what is the y component (in newtons) of f?
The force on the y-component is 227.92 N. suppose the x-axis force is 302 N counter clockwise and points at 149 degrees.
Given:
[tex]Force\;on\;x-axis,\;f =302\;N[/tex]
[tex]Angle,\;\theta=149^{\circ}[/tex]
We know that, Force on y-axis,
[tex]f_{y}=f\;sin\;\theta[/tex]
[tex]f_{y}=302\;sin\;\149^{\circ}[/tex]
[tex]f_{y}=227.92\;N[/tex]
Hence, the force acting on the y-component is 227.92 N.
Define Components of force in a vector?Components of force in a vector are the magnitude and direction of each component. In other words, they provide information on how much push/pull is being exerted by an object on another object or person. Generally speaking, these components can be classified into two categories:
Anchor (A): The anchor represents the force that pulls objects together. It usually corresponds to the gravitational pull between two masses or large projectiles.
Magnitude (M): This refers to how strong the force is – greater numbers mean stronger forces.
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When you push a crate across a level floor at constant velocity, friction between the crate and the floor is?
Answer:
The friction between the crate and the floor is the same amount as your pushing force when you push a crate across a level floor at constant velocity.
Explanation:
Remember that the force produced by two surfaces coming into contact and sliding against one another is frictional force. This is expressed by the direct relationship between frictional force and normal force.
f=μN
Where
f = frictional force
µ = coefficient of friction
N = Normal force
By dry friction, two solid surfaces in touch are opposed to one another's relative lateral motion. Dry friction is further separated into kinetic friction between moving surfaces and static friction (sometimes known as "stiction") between non-moving surfaces. Additionally, dry friction is typically caused by the interaction of surface characteristics, particularly rough surfaces.
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A ball is thrown vertically into the air. because of air resistance, its time coming down compared to its time going up is:_________
a. less.
b. the same.
c. more.
A ball is launched into the air vertically. Because of air resistance, it takes less time to come down than to get up.
What is air resistance?The forces that oppose an object's relative motion as it travels through the air are known as air resistance. These drag forces cause the object to move more slowly by acting in opposition to the speed of the incoming flow. Since drag is the part of the net aerodynamic force operating in the opposite direction to the direction of the movement, it differs from other resistance forces in that it directly depends on velocity.
Another way to describe it is to say that air resistance is caused by the leading surface of the object smacking with air molecules. Therefore, it can be claimed that the object's speed and cross-sectional area are the two most frequent variables that directly affect the quantity of air resistance. Thus, an increase in air resistance will be caused by both increasing speeds and cross-sectional areas.
In the context of aerodynamics and flight, the term "drag" refers to both the forces opposing and perpendicular to propulsion (i.e. lift). Depending on the circumstances, atmospheric drag can be either a positive or negative factor in astrophysics. When a spacecraft is returning to Earth from orbit, it both uses fuel and reduces efficiency during takeoff.
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If you exert a force f on an object which has a much greater mass than you do, the force which the object exerts on you will?
If you exert force on an inanimate item, you will also be able to calculate the force that the object will apply to you, which will be opposing and equal to your own.
What would happen if you applied a force that was smaller than the object's mass?In order to accelerate a heavier (more massive) item in motion, more force must be exerted. When two objects are subjected to the same force, the smaller mass item will change speeds more quickly.
An item can alter its size or shape, begin moving, stop moving, accelerate, or decelerate as a result of a force acting on it. When two things contact, they exert pressures on one another that are identical in size but directed in the opposite direction
The action-reaction law is another name for this rule.
When just one body decides the strength and direction of the force, the force that body exerts is referred to as the "action," and the force that the other body exerts in a similar but opposite direction is referred to as the "reaction."
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