An excited electron with the lowest energy is the second circle away from the nucleus (green dot) labeled n = 2.
What is an excited state?In Chemistry, an electron is considered to be in an excited state when it temporarily occupies an energy state that is greater than its ground state. Also, an electron becomes excited when it gains extra energy by:
Absorbing a photon of lightColliding with a nearby atom.Based on the diagram shown in the image attached below, an excited electron with the lowest energy is the second circle away from the nucleus (green dot) labeled n = 2.
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How population control helps in sustainable development
Increasing population makes it more challenging for limited and lower-middle income nations to finance the growth in public spending on a per capita basis required to eradicate poverty.
Which demographic do you refer to?Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but not be limited to, individuals, animals, organizations, structures, buildings, cars, farms, items, or occasions.
What are the many forms of population?A population is an identified collection of objects the with purpose of study and data collecting. Examples include humans and animals. It comprises of a related collection of species that live in a certain area and have the ability to interbreed.
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how do scientists predict the location of electrons in the modern model of the atom
Answer:
Scientists predict the location of electrons in the modern model of the atom by using the Heisenberg uncertainty principle.
PLEASE HELP! thxssss
Answer:
D is correct
Explanation:
Earth's atmosphere is made up of mostly nitrogen (78%) and oxygen (21%); however, there are other gases in smaller amounts, like argon, carbon dioxide, neon, helium, hydrogen, and more. If there was an increase of carbon dioxide in the atmosphere, how would this affect temperature? A) The temperature would increase globally. B) The temperature would decrease globally. C) Temperature doesn't relate to the composition of the atmosphere; it has to do with the sun's rays. D) The temperature would not be affected since carbon dioxide is only one component in the atmosphere.
Answer:
the temperature would increase globally because carbon dioxde contributes to global warming increase the temperature of the earth
Explanation:
i hope this will help you
If there is an increase of carbon dioxide in the atmosphere, this affects temperature the temperature would increase globally. The correct option is B.
What is global warming?The term “global warming” refers to a steady increase in the average temperature of the Earth's atmosphere and oceans, a phenomenon that is thought to be irreversibly altering the Earth's climate.
Our poles' waters are melting as a result of global warming. When our polar ice caps melt the majority of the way, many coastal communities will flood. Extreme weather, such as greater hurricanes, larger thunderstorms, and wider areas affected by other natural catastrophes, will also occur.
The temperature would decrease globally because carbon dioxide contributes to global warming, increasing the temperature of the earth.
Therefore, the correct option is B) The temperature would decrease globally.
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HELPP
Viewed from Earth, it seems as if the Sun moves across the sky each day. This is because:
A. the sun isn't moving; observations made from Earth are rotating with the Earth
B. the Earth goes around the Sun over the course of a year
C. the Sun revolves around the Earth
D. the Earth isn't moving
Two persons are applying forces on two opposite sides of a moving cart.
The cart still moves with the same speed in the same direction. What
do you infer about the magnitudes and direction of the forces applied.
Answer:
the force is very strong between
If you put 3.27 moles of an ideal
gas in a 50.0 L tank at 35.0°C
what pressure will it create?
(Make sure to put P, V, and T
in the right units.)
(Unit = Pa)
Answer:
1.65 atm
Explanation:
Applying,
PV = nRT....................... Equation 1
Where P = Pressure, V = Volume, n = number of moles, R = malar gas constant, T = Temperature.
Make P the subject of the equation
P = nRT/V..................... Equation 2
From the question,
Given: n = 3.27 moles, V = 50.0 L, T = 35 °C = (273+35) = 308K
Constant: R = 0.082L.atm/K.mol
Substitute these values into equation 2
P = 3.27(0.082)(308)/(50)
P = 1.65 atm
Answer: 167000
Explanation:
Correct on acellus with three sig figs. Just have to convert atm to Pa
_______ refers to size relationships between parts of a whole.
Proportion refers to size relationships between parts of a whole. It involves the relative sizes, dimensions, and ratios of different elements or components within a system or object.
Proportion is an important concept in various fields such as art, architecture, design, and mathematics. It helps create visual harmony, balance, and aesthetic appeal by ensuring that the sizes and proportions of elements are pleasing and well-balanced.
In design and architecture, proportion is often used to create a sense of balance, symmetry, and visual stability.
Understanding and applying proportion is crucial for creating visually appealing and harmonious compositions in both two-dimensional and three-dimensional spaces.
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Find a real root of the equation f(x)=x^2-2x-5=0, using bisection method in five stages.
A real root of the equation f(x) = x^2 - 2x - 5 = 0, found using the bisection method in five stages, is approximately x = -0.046875. To find a real root of the equation f(x) = x^2 - 2x - 5 = 0 using the bisection method, we can start by identifying an interval [a, b] that contains the root. Let's choose the interval [-3, 0], where f(a) = f(-3) = 4 and f(b) = f(0) = -5. Since f(a) and f(b) have opposite signs, there must be a root within this interval.
Stage 1:
- Start with interval [a, b] = [-3, 0]
- Calculate the midpoint c = (a + b) / 2 = (-3 + 0) / 2 = -1.5
- Evaluate f(c) = (-1.5)^2 - 2(-1.5) - 5 = -0.25
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-1.5, 0]
Stage 2:
- Calculate the new midpoint c = (a + b) / 2 = (-1.5 + 0) / 2 = -0.75
- Evaluate f(c) = (-0.75)^2 - 2(-0.75) - 5 = -4.4375
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.75, 0]
Stage 3:
- Calculate the new midpoint c = (a + b) / 2 = (-0.75 + 0) / 2 = -0.375
- Evaluate f(c) = (-0.375)^2 - 2(-0.375) - 5 = -2.7461
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.375, 0]
Stage 4:
- Calculate the new midpoint c = (a + b) / 2 = (-0.375 + 0) / 2 = -0.1875
- Evaluate f(c) = (-0.1875)^2 - 2(-0.1875) - 5 = -1.2217
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.1875, 0]
Stage 5:
- Calculate the new midpoint c = (a + b) / 2 = (-0.1875 + 0) / 2 = -0.09375
- Evaluate f(c) = (-0.09375)^2 - 2(-0.09375) - 5 = -0.6104
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.09375, 0]
After five stages, the interval [a, b] has become [-0.09375, 0]. Since the interval is small, we can approximate the root as the midpoint of this interval:
Root ≈ (a + b) / 2 = (-0.09375 + 0) / 2 = -0.046875
Therefore, a real root of the equation f(x) = x^2 - 2x - 5 = 0, found using the bisection method in five stages, is approximately x = -0.046875.
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Three liquids are at temperatures of 9 ◦C,
23◦C, and 38◦C, respectively. Equal masses of
the first two liquids are mixed, and the equilibrium temperature is 14◦C. Equal masses of
the second and third are then mixed, and the
equilibrium temperature is 35.4
◦C.
Find the equilibrium temperature when
equal masses of the first and third are mixed.
Answer in units of ◦C.
The equilibrium temperature when equal masses of the first and third liquids are mixed is 26°C.
To find the equilibrium temperature when equal mass of the first and third liquids are mixed, we can use the principle of heat transfer. When two substances with different temperatures are mixed, heat will flow from the warmer substance to the cooler substance until they reach thermal equilibrium.
Using the given information, we know that the first two liquids have an initial temperature difference of 14-9=5°C, and the second and third liquids have an initial temperature difference of 35.4-23=12.4°C. When the equal masses of the first and third liquids are mixed, they will also have an initial temperature difference of 38-9=29°C.
To find the final equilibrium temperature, we can set up the equation:
(mass of first liquid)(5°C) + (mass of third liquid)(29°C) = (total mass)(final temperature difference)
Since equal masses are mixed, we can simplify this to:
(mass)(17°C) = (mass)(final temperature difference)
Solving for the final temperature difference, we get:
final temperature difference = 17°C
Adding this to the initial temperature of the cooler liquid (9°C), we get the final equilibrium temperature:
9°C + 17°C = 26°C
Therefore, the equilibrium temperature when equal masses of the first and third liquids are mixed is 26°C.
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The equilibrium temperature is 26°C when the first and third liquids are joined in equal masses.
We may apply the theory of heat transfer to determine the equilibrium temperature when the first and third liquids are combined in equal amounts. Heat will transfer from one substance to the other when two substances with differing temperatures are combined until they attain thermal equilibrium.
The first two liquids have an initial temperature difference of 14-9=5°C, while the second and third liquids have an initial temperature difference of 35.4-23=12.4°C, according to the information provided.Due to the same masses of the first and third liquids, their initial temperatures will differ by 38-9=29°C when combined.
To find the ultimate equilibrium temperature, we can build the equation.
The formula is (total mass)(final temperature difference) = (mass of first liquid)(5°C) + (mass of third liquid)(29°C).
Equal masses are mixed together, thus we can summarise this as follows:
Mass times final temperature difference is mass times (mass)(17°C).
The ultimate temperature difference is determined as follows:
17°C is the difference in final temperature.
This is added to the 9°C beginning temperature of the cooler liquid to determine the ultimate equilibrium temperature:
9°C + 17°C = 26°C
26°C is the equilibrium temperature when the combined masses of the first and third liquids are equal.
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a charged particle a exerts a force of 2.72 n to the right on charged particle b when the particles are 13.0 mm apart. particle b moves straight away from a to make the distance between them 18.5 mm. what vector force does particle b then exert on a
The force particle b exerts on a is -2.72 N to the left.
The force particle b exerts on a can be determined by using Coulomb's law, which states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Since the charges of the particles are the same, we can assume that the force is proportional to the inverse of the distance squared. By increasing the distance between the particles from 13.0 mm to 18.5 mm, we can assume that the force has decreased.
Using the formula F = k(q1*q2)/r^2, we can calculate the new force by substituting the new distance and assuming the charges are equal. Since the force was 2.72 N to the right, and the distance has increased, the force particle b now exerts on a would-be -2.72 N to the left.
This is because the force is inversely proportional to the distance squared, and since the distance has increased the force has decreased.
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Which example is NOT a part of the electromagnetic spectrum?
Group of answer choices
electricity
microwaves
violet light
radio waves
where was the sun in ptolemy's model of the universe
In Ptolemy's model of the universe, the Sun was believed to revolve around the Earth along with the other celestial bodies.
Ptolemy, an ancient Greek astronomer and mathematician, proposed a geocentric model of the universe known as the Ptolemaic system. According to this model, the Earth was considered to be at the center of the universe, and all celestial bodies, including the Sun, were believed to revolve around it.
In Ptolemy's geocentric model, the Sun was thought to follow a circular path called the "deferent" around the Earth. Additionally, Ptolemy introduced a secondary circular path called the "epicycle" to account for the irregularities observed in the motion of the Sun and other celestial bodies.
The combination of these circular paths allowed Ptolemy to explain the apparent retrograde motion of the Sun and other planets, where they appear to move backward in the sky relative to the stars. The geocentric model with epicycles and deferents provided a mathematical framework to describe the observed motions of celestial bodies, including the Sun.
It is important to note that Ptolemy's geocentric model was widely accepted for many centuries until the heliocentric model proposed by Nicolaus Copernicus in the 16th century presented a more accurate representation of the solar system, with the Sun at the center and the planets, including Earth, orbiting around it.
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In Ptolemy's model of the universe, the Earth was at the center and everything, including the sun, revolved around it in complex circular paths.
Explanation:In the Ptolemaic model of the universe, the Earth was at the center and everything else, including the sun, moon, planets, and the stars, revolved around it in complex, circular paths. This geocentric (Earth-centered) model was purely descriptive, with no hints as to what were the causes of these motions. It was developed by Greek philosopher Claudius Ptolemy in the second century AD. Ptolemy had to construct his model using circles alone, resulting in a complex structure with dozens of circles. But we must not let our modern judgment cloud our admiration for Ptolemy's achievement. His model, though complex, was considered quite accurate in his time.
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What is the pressure drop due to the Bernoulli effect as water goes into a 3.10-cm-diameter nozzle from a 9.10-cm-diameter fire hose while carrying a flow of 45.0 L/s?
N/m2
The pressure drop due to the Bernoulli effect as water goes into the nozzle from the fire hose is approximately 28,107 N/m².
To calculate the pressure drop due to the Bernoulli effect as water goes into a nozzle from a fire hose, we can use the principle of continuity and the Bernoulli equation.
The principle of continuity states that the mass flow rate of an incompressible fluid is constant along a streamline. It can be expressed as:
A1v1 = A2v2
Where A1 and A2 are the cross-sectional areas of the fire hose and the nozzle respectively, and v1 and v2 are the velocities of the water at those points.
Given that the diameter of the fire hose is 9.10 cm (radius r1 = 4.55 cm) and the diameter of the nozzle is 3.10 cm (radius r2 = 1.55 cm), we can calculate the velocities:
v1 = Q / A1
v2 = Q / A2
Where Q is the flow rate and A1 = πr1² and A2 = πr2².
Converting the flow rate from L/s to m³/s:
Q = 45.0 L/s = 0.045 m³/s
Calculating the velocities:
v1 = (0.045 m³/s) / (π(0.0455 m)²) ≈ 1.372 m/s
v2 = (0.045 m³/s) / (π(0.0155 m)²) ≈ 8.832 m/s
Now, using the Bernoulli equation:
P1 + 0.5ρv1² = P2 + 0.5ρv2²
Where P1 and P2 are the pressures at the fire hose and nozzle respectively, and ρ is the density of water (approximately 1000 kg/m³).
Rearranging the equation to solve for the pressure drop (P1 - P2):
P1 - P2 = 0.5ρ(v2² - v1²)
Substituting the values:
P1 - P2 = 0.5(1000 kg/m³)(8.832² - 1.372²) ≈ 28,107 N/m²
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true or false. because the speed of an object can change from one instant to the next, dividing the distance covered by the time of travel gives constant speed
true. Because the speed of an object can change from one instant to the next, dividing the total distance covered by the time of travel gives. average speed.
Answer:
False.
Explanation:
Dividing the distance covered by the time would give us the average speed, not a constant speed. Constant speed exists only if the speed of an object does not change.
A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The
ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?
The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:
F = ΔP / ΔT
where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.
Now, let's apply the given values to the above equation.
Final momentum (p2) = mass × final velocity (v2)
p2 = 0.15 kg × (-50 m/s)
p2 = -7.5 kg.m/s
Initial momentum (p1) = mass × initial velocity (v1)
p1 = 0.15 kg × (40 m/s)
p1 = 6 kg.m/s
Change in momentum (ΔP) = p2 - p1
ΔP = -7.5 kg.m/s - 6 kg.m/s
ΔP = -13.5 kg.m/s
Time of collision (ΔT) = 8.0 × 10³ s
Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:
F = ΔP / ΔT
F = -13.5 kg.m/s ÷ 8.0 × 10³ s
F = -1.7 × 10⁻³ N
Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
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The form of energy stored in a stretched spring would be elastic kinetic energy intermolecular binding energy a mixture of elastic and mechanical transformational energy elastic potential energy The result of simultaneous application of two forces, facing away from each other on a spring, may be some shear in the spring some elongation in the spring some contraction in the spring some bending in the spring
The form of energy stored in a stretched spring is elastic potential energy. When a spring is stretched or compressed, it possesses potential energy due to the deformation of its structure.
This potential energy is called elastic potential energy because it is associated with the elasticity of the spring.
As the spring is stretched, work is done to overcome the forces within the spring that resist the change in its length. This work is converted into potential energy, which is stored in the spring. The amount of potential energy stored in the spring is directly proportional to the amount by which it is stretched or compressed.
When two forces are simultaneously applied to a spring in opposite directions, it may result in elongation or contraction of the spring, depending on the magnitude and direction of the forces. If the applied forces are strong enough to overcome the spring's elasticity, the spring will undergo deformation and exhibit elongation or contraction. This deformation is a manifestation of the stored elastic potential energy being converted into mechanical energy.
Shear, bending, and intermolecular binding energy are not directly related to the stretching of a spring.
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A wheel rolls a distance of 24 meters and rotates through an angle of 12 radians. What is the radius of the wheel?
A circular wheel has a radius of 24 cm, a diameter of 48 cm, and a circumference of 3.14159 cm, or 150.8 cm, rounded to the nearest centimeter.
What exactly are circumference and diameter?Definition. The circumference of a circle is the length measured around its edge. The diameter of a circle is the distance from the center to the outside. The radius of a circle is the distance between any two points on its edge.
Does diameter include radius?A ring's diameter is equal to half of its diameter, or vice versa, meaning that the diameter of a circle is twice as long as the radius.
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A motorbike covered a displacement of 20 kilometers West in 30 minutes. Calculate its
average velocity in km/h.
A motorbike covered a displacement of 20 kilometers West in 30 minutes. Its average velocity in km/h will be 40 km/h
Average velocity is defined as the change in position divided by the time intervals in which that change occurs or displacement divided by time in which that displacement occurred. The SI unit of average velocity is meters per second (m/s or ms-1).
given
distance = 20 km
time = 30 minutes = 1/2 hour
average velocity = distance / time
= 20 / 0.5 = 40 km/h
Its average velocity in km/h will be 40 km/h
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A pinball bangs against a bumper giving the ball a speed of 42cm/s if the ball has a mass of 50.0g what is the ball’s kinetic energy in joules
Explanation:
Given:-mass=50g
velocity=42cm/s
To find:-Kinetic energy
Solution:-As we know that
\({\boxed{\sf kinetic\:energy={\dfrac {1}{2}}mv^2}}\)
Substitute the values\({:}\longrightarrow\)\(\sf k.v={\dfrac {1}{{\cancel{2}}}}\times 50\times {\cancel{42}}^2 \)
\({:}\longrightarrow\)\(\sf k.v=50\times 21^2 \)
\({:}\longrightarrow\)\(\sf k.v=50×441 \)
\({:}\longrightarrow\)\(\sf k.v=22050MJ \)
1Joule=1000milijoules22050MJ=\({\dfrac {22050}{1000}}=22.05J\)=22J(Approximately)\(\therefore\)\({\underline{\boxed{\bf Kinetic\:energy=22Joule}}}\)
What is important when it comes to winning
Answer:
satisfaction, enjoyment and fair play
Answer:
It is important to be a good sport, and even if you do not win still be happy about being able to participate, and congratulate the person that did win.
Explanation:
Hope this helped Bye!
Fill in the information below using the knowledge you just learned of the periodic table.
1. What is the name of this element?
2. What is the atomic number of this element?
3. What is the atomic mass of this element?
4. What is the symbol for this element?
A runner covers the last straight stretch of a race in 8s.During that time he speeds up from 7 m/s to 9m/s. What is the acceleration
Given
Time taken is t=8 s.
The initial speed is u=7 m/s
The final speed is v=9 m/s.
To find
The acceleration
Explanation
We know the acceleration is the ratio of the difference in the speed to the time taken.
Thus,
\(\begin{gathered} a=\frac{v-u}{t} \\ \Rightarrow a=\frac{9-7}{8} \\ \Rightarrow a=\frac{2}{8}=\frac{1}{4}=0.25\text{ m/s}^2 \end{gathered}\)Conclusion
The acceleration is
\(0.25\text{ m/s}^2\)How were Jupiter, Saturn, Uranus, and Neptune formed?
Explanation:
They were formed by accretion
Answer:
(For me they were formed by God.)
Planets are believed to have formed through the accumulation of a large number of small bodies. The orbits of these cores then evolve into orbits that resemble those of Uranus and Neptune, as a result of gravitational interactions with the small bodies in the outer disk of the protosolar nebula.
Explanation:
Brainliest plz
Julian tests four springs and records the results in the table. A 3 column table with 4 rows. The first column is labeled Spring with entries W, X, Y, Z. The second column is labeled force applied in Newtons with entries 20, 60, 40, 50. The last column is labeled displacement in meters with entries 0. 5, 0. 3, 0. 4, 0. 1. Which lists the springs in order of increasing spring constant? W, Y, X, Z W, Y, Z, X Z, X, Y, W X, Z, Y, W.
The correct increasing order of the spring constant is W, Y, X, Z. Option A is correct.
What is the spring constant?
It is the measure of the stiffness of the spring, or it is the ratio of the force to the deformation of the spring.
\(k = \dfrac Fx\)
Where,
\(F\) - force
\(k\) - spring constant
\(x\) - displacement
So, the spring constant of the spring- W,
\(k = \dfrac {20}{ 0.5}\\\\k = 40 \rm \ N/m\)
Spring X:
\(k = \dfrac {60}{ 0.3}\\\\k = 200 \rm \ N/m\)
Spring Y:
\(k = \dfrac {40}{ 0.4}\\\\k = 100 \rm \ N/m\)
Spring Z:
\(k = \dfrac {50}{ 0.1}\\\\k = 500 \rm \ N/m\)
Therefore, the correct increasing order of the spring constant is W, Y, X, Z.
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Answer:
A
Explanation:
edge 2022
Question 10 of 32
A sample of 2 mol of diatomic gas is measured to have a temperature of 323
K. If the mass of the gas is 0.032 kg, what is the approximate average speed
of the molecules in the gas? (Recall that the equation for kinetic energy due
1
3
to translation in a gas is KEtranslational=mv²=nRT, and R= 8.31 J/(mol-
K).)
2
2
The approximate average speed of the molecules in the gas is 410 m/s
Data obtained from the questionNumber of mole (n) = 2 molesTemperature (T) = 323 KMass (m) = 0.032 KgGas constant (R) = 8.31 J/KmolSpeed (v) =?How to determine the speedmv² = nRT
Divide both side by m
v²= nRT / m
Take the square root of both sides
v = √(nRT / m)
v = √(2 × 8.31 × 323 / 0.032)
v = 410 m/s
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What is the vertical component of a ball thrown at a 27 degree angle at 16 m/s?
y = y 0 + v 0 y t − 1 2 g t 2 . If we take the initial position y 0 to be zero, then the final position is y = 10 m. The initial vertical velocity is the vertical component of the initial velocity: v 0 y = v 0 sin θ 0 = ( 30.0 m / s ) sin 45 ° = 21.2 m / s .
If F1 is the magnitude of the force exerted by the Earth on a satellite in orbit about the Earth and F2 is the magnitude of the force exerted by the satellite on the Earth, then which of the following is true? a. Fiis much greater than F b. Fiis slightly greater than Fa c. Fiis equal to Fa d. e. Fa is slightly greater than F Fa is much greater than F
If F1 is the magnitude of the force exerted by the Earth on a satellite in orbit about the Earth and F2 is the magnitude of the force exerted by the satellite on the Earth, then Fa is much greater than F. So the correct option is d.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this case, the action is the force exerted by the Earth on the satellite (F1), and the reaction is the force exerted by the satellite on the Earth (F2). Since these forces are equal in magnitude but opposite in direction, we can say that F1 is equal to F2.
However, it's important to note that while the magnitudes of the forces are equal, their effects are not. The mass of the Earth is much larger than the mass of the satellite, which means that the acceleration experienced by the Earth due to the force exerted by the satellite is much smaller compared to the acceleration experienced by the satellite due to the force exerted by the Earth.
Therefore, we can conclude that Fa (the force exerted by the Earth on the satellite) is much greater than F (the force exerted by the satellite on the Earth).
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In the periodic table, where can the atomic mass of an element be found?
Answer:
protons + neutrons
Explain:
Is equivalent to the number of protons and neutrons in the atom
Answer:
The atomic mass of an element is underneath the symbols whereas for Li or Lithium it is 6.94 then for B or Boron it is 10.81.
Explanation:
So in otherwords the atomic mass is right under the symbol of an element.
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.
The gravitational force between them will change by a factor 1/9.
We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as
F = G.m1.m2 / R²
where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.
From the question above, we know that
R2 = 3R1
By substituting the following parameters, we get
F2/F1 = G.m1.m2 / R2² / G.m1.m2 / R1²
F2/F1 = G.m1.m2 / (3R1)² / G.m1.m2 / R1²
F2/F1 = 1/9
Hence, the gravitational force between them will change by a factor 1/9.
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