Once a spontaneous process begins, it will continue to proceed without the need for additional external actions or interventions.
A spontaneous process can be either exothermic or endothermic. Exothermic processes release energy, while endothermic processes absorb energy from the surroundings. The spontaneity of a process is determined by factors such as enthalpy, entropy, and temperature, rather than the energy flow itself.A spontaneous process typically involves a decrease in the overall energy of the system, resulting in the release of energy in some form, such as heat, light, or work. It does not require any external action to begin A spontaneous process can occur without any external intervention or additional energy input. It happens naturally based on the system's inherent tendencies.
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Which shows the correct lens equation?
Answer:
The inverse of f equals the inverse of d Subscript o Baseline plus the inverse of d Subscript I Baseline.
Explanation:
Explanation:
Answer: The answer is most likely the first one, but I may be wrong.
Explanation:
what seems to control the assembly and disassembly of intermediate filaments?
The assembly and disassembly of IFs are regulated by a variety of factors, including phosphorylation, subunit availability, pH, and ionic strength.
Intermediate filaments (IFs) are components of the cytoskeleton that control a variety of biological processes. IFs are typically less dynamic than microtubules and actin filaments, and they appear to be more stable. The assembly and disassembly of intermediate filaments are regulated by phosphorylation-dephosphorylation mechanisms.
The assembly and disassembly of intermediate filaments are controlled by a variety of factors. One of the primary determinants of IF dynamics is phosphorylation. Phosphorylation of specific residues on the IF proteins affects both the ability of the protein to form filaments and its stability once it has formed a filament.
In some cases, the presence of free subunits can promote filament formation, while in others, the formation of complexes between subunits can inhibit filament assembly. Changes in pH or ionic strength can also affect the assembly and disassembly of IFs.Intermediate filaments (IFs) are cytoskeletal structures that are typically more stable than microtubules or actin filaments.
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Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter. what options correctly describe what will happen next.
1. what happens depends on the relative masses of ice and water.
2. all the ice will melt.
3. no ice will melt and no water will freeze.
4. all the water will freeze.
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter.what happens depends on the relative masses of ice and water,some of the ice will melt and the final temperature will be 0 degrees Celsius.So the correct options are 1,2 and 3.
The amount of ice that melts depends on the relative masses of ice and water. If there is more ice than water, then all of the ice will melt. If there is more water than ice, then some of the ice will remain. The final temperature will be 0 degrees Celsius regardless of how much ice melts.
Option 4 is incorrect because the water is already at 0 degrees Celsius, so it cannot freeze. Option 3 is incorrect because heat is not being transferred into or out of the system, so the temperature will not change.Therefore correct option are 1, 2 and 3.
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If an electron moves in a circle of radius 21 cm perpendicular to a B field of 0.4 T, what are the speed of the electron and the frequency of motion?
Answer:
a)
\(v = 4.048 *10^6\) m/s
b)
Angular frequency = \(1.92 * 10^7\)
Explanation:
As we know
\(v = \frac{qBr}{m}\)
q is the charge on the electron = \(3.2 * 10^{-19}\) C
B is the magnetic field in Tesla = \(0.4\) T
r is the radius of the circle = \(0.21\) m
mass of the electrons = \(6.64 * 10^{-27}\) Kg
a)
Substituting the given values in above equation, we get -
\(v = \frac{3.2 * 10^{-19}*0.4*0.21}{6.64 * 10^{-27}} \\v = 4.048 *10^6\)m/s
b)
Angular frequency =
\(\frac{4.048 * 10^6 }{0.21} \\1.92 * 10^7\)
one side of a copper sheet is highly polished and the other side is painted matt black. the copper sheet is very hot and placed in a verticle position. a student places her hands at equal distances from the sheet. explain why her hands are not heated by convection
Answer:
Because radiation does not require material medium for its propagation.
Explanation:
Radiation is one of the types of modes of heat transfer that takes place majorly in gases. Heat energy can be transferred through gases by radiation without heating up the intervening medium. Even, if the available molecules of gases are evacuated, the heat energy would propagate.
Thus, student's hands were not heated by convection since convection is a mode where material medium is required for propagation of heat energy.
Her hands are not heated by convection because radiation does not require material medium for its propagation.
Radiation
It is one of the types of modes of heat transfer that takes place majorly in gases. Heat energy can be transferred through gases by radiation without heating up the intervening medium. Even, if the available molecules of gases are evacuated, the heat energy would propagate.The sun's light and heat cannot reach us by conduction or convection because space is almost completely empty. There is nothing to transfer the energy from the sun to the earth.Thus, student's hands were not heated by convection since convection is a mode where material medium is required for propagation of heat energy.
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What is the direction of the magnetic force on a positive charge if:
1. V= downward; B= out of the page
2. V=upward; B=right
3. V=right; B=into the page
4. V=into the page; B=upward
5. V=out of the page; B=left
Explanation:
1) left ⬅️
2) into the page
3) upward ⬆️
4) right ➡️
5) downward ⬇️
the position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. what is the velocity of the particle, in meters per second, at t = 2.9 s?
For a particle having a position of function e^-(t - 3)², the velocity at 2.9 s is calculated to be 0.198008 m/s.
The position of a particle is denoted by a function x(t) = e^-(t - 3)², where x is the distance and t is the time.
Differentiate the function, to find velocity.
v(x) = d/dt(x) = d/dt[e^-(t - 3)²]
v(x) = e^-(t - 3)²[-2(t - 3)]
Now, substitute the value of t = 2.9 in the equation
v(2.9) = e^-(2.9 - 3)²[-2(2.9 - 3)]
v(2.9) = e^-(-0.1)²[-2(-0.1)]
Use the exponent formula a^-b = 1/a^b
v(2.9) = 1/e^(-0.1)²[0.2]
v(2.9) = 1/e^(0.01)[0.2]
Substitute the value of e^0.01 = 1.01005
v(2.9) = (1/1.01005)[0.2]
Use the arithmetic operation of division,
v(2.9) = (0.99004)[0.2]
v(2.9) = 0.198008
Therefore, the velocity of the particle is 0.198008 m/s.
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numeria
problems
lifted
Joy
1
لوووو
G. Solue the
following
A load
800 Nis
effort
If
the load is
laced at
a distance
Lo cun from
achat will be the
effort distance ?
Solher load ( l = 8oon
Effort
(e) = 200N
the fularum,
Answer:
\( \boxed{40 \: cm}\)Explanation:
Load ( L ) = 800 N
Effort ( E ) = 200 N
Load distance ( LD ) = 10 cm
Effort distance ( ED ) = ?
now, Let's find the effort distance:
\( \mathsf{L \times LD = E \times ED}\)
Plug the values
\( \mathsf{800 \times 10 = 200 \times ED}\)
Multiply the numbers
\( \mathsf{8000 = 200 \: ED}\)
Swipe the sides of the equation
\( \mathsf{200 \: ED = 8000}\)
Divide both sides of the equation by 200
\( \mathsf{ \frac{200 \: ED }{200} = \frac{8000}{200} }\)
Calculate
\( \mathsf{ED \: = \: 40 \: cm}\)
Hope I helped!
Best regards!
Air pollution caused by the reaction of nitrogen compounds and other pollutants in the presence of sunlight is
Nitrogen oxides play a critical role in photochemical smog. They give the smog its yellowish-brown hue. Indoor residential appliances like gas stoves and gas or wood heaters can be significant emitters of nitrogen oxides in poorly ventilated environments.
Nitrogen dioxide (NO₂), ozone (O₃), peroxyacetyl nitrate (PAN), and chemical compounds with the -CHO group are the main harmful elements of photochemical smog (aldehydes). If present in high enough amounts, PAN and aldehydes can harm plants and irritate the eyes.The greatest sources of emissions are power plants, heavy construction equipment driven by diesel, other moveable engines, and industrial boilers. Cars, trucks, and buses are next in line.Therefore , on conclusion i.e. two gases with molecules consisting of nitrogen and oxygen atoms are nitric oxide (NO) and nitrogen dioxide (NO₂). These nitrogen oxides play a part in the development of smog and acid rain, adding to the issue of air pollution.
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Explain how the solar system is a system.
A solar system is a system in which the sun serves as the parent star and everything revolves around it. Everything also includes all planets, all moons, all asteroids, and all comets.
What is the solar system?The gravitationally system comprising the Sun and the satellites in its orbit is referred to as the Solar System. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun has the great majority of the system's mass, with Jupiter holding the majority of the remaining mass.
The first four plants are referred to as terrestrial/Inner planets in our solar system. The asteroid belt is ahead of them. Mars, Venus, Mercury, and Earth are the planets.
Jovian/giant/outer planets are the planets that follow the asteroid belt in the solar system. Their atmosphere is dense and primarily made of hydrogen and helium. Jupiter, Saturn, Uranus, and Neptune are the planets after asteroid belt.
Hence, the sun, 8 planets, 63 moons, as well as millions of other minor bodies like asteroids and comets, as well as enormous amounts of dust and gases, make up the solar system.
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calculate the work required to be done to stop a car of 1500 kg moving at a velocity of 60km/h
The work done to stop the car is -208.33 kJ
From work-kinetic energy principles, the change in kinetic energy of the car ,ΔK equals the work done to stop the car, W.
W = ΔK = 1/2m(v'² - v²) where
m = mass of car = 1500 kg, v = initial velocity of car = 60 km/h = 60 × 1000 m/3600 s = 16.67 m/s and v' = final velocity of car = 0 m/s (since the car stops).Calculating the work doneSubstituting the values of the variables into the equation, we have
W = 1/2m(v'² - v²)
W = 1/2 × 1500 kg(v(0 m/s)² - (16.67 m/s)²)
W = 750 kg(0 (m/s)² - 277.78 (m/s)²)
W = 750 kg(- 277.78 (m/s)²)
W = -208333.33 J
W = -208.33333 kJ
W ≅ -208.33 kJ
So, the work done to stop the car is -208.33 kJ
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An athlete spins in a circle and throws a 1.6-kg discus. The radius of the discus's path is 1.0 m, and he releases it with an angular speed of 15.0 rad/s. The athlete spins for a total of 1.2 s before releasing the discus.
– What is the tangential speed of the discus at release?
– What is the centripetal acceleration of the discus?
– What is the centripetal force on the discus?
giving Brainliest for full and proper answers! thank you for anyone who tries to help/explain :)
(a) The tangential speed of the discus at the release is 15 m/s.
(b) The centripetal acceleration of the discus is 225 m/s².
(c) The centripetal force on the discus is 360 N.
The given parameters;
mass of the discus, m = 1.6 kgradius of the path, r = 1 mangular speed, ω = 15 rad/stime of motion, t = 1.2 sThe tangential speed of the discus at the release is calculated as follows;
\(v = \omega r\\\\v = 15 \ rad/s \ \times 1 \ m\\\\v = 15 \ m/s\)
The centripetal acceleration of the discus is calculated as follows;
\(a_c = \frac{v^2}{r} \\\\a_c = \frac{15^2}{1} \\\\a _c = 225 \ m/s^2\)
The centripetal force on the discus is calculated as follows;
\(F_c = ma_c\\\\F_c = 1.6 \times 225\\\\F_c = 360 \ N\)
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flix the cat ambles along at a leisurely cat-pace of 1 m/s when he suddenly spies an interesting mouse. flix then accelerates at 2 m/s2 until he reaches his top speed of 4 m/s. a) determine the time this acceleration takes. b) determine the distance flix moved while he was accelerating.
(A) The Flix takes 1.5 seconds to reach his top speed of 4 m/s. (B) Flix moved a distance of 3.75 meters while he was accelerating.
To solve this problem, we can use the equations of motion to calculate the time and distance traveled by Flix the cat.
To determine the time it takes for Flix to accelerate, we can use the equation;
v = u + at
Where;
v = final velocity (4 m/s)
u = initial velocity (1 m/s)
a = acceleration (2 m/s²)
t = time
Rearranging the equation, we have;
t = (v - u) / a
Substituting the given values;
t = (4 m/s - 1 m/s) / 2 m/s²
t = 3 m/s / 2 m/s²
t = 1.5 s
Therefore, Flix takes 1.5 seconds to reach his top speed of 4 m/s.
To determine the distance traveled while accelerating, we can use the equation;
s = ut + (1/2)at²
Where;
s = distance traveled
u = initial velocity (1 m/s)
t = time (1.5 s)
a = acceleration (2 m/s²)
Substituting the given values:
s = (1 m/s)(1.5 s) + (1/2)(2 m/s²)(1.5 s)²
s = 1.5 m + (1/2)(2 m/s²)(2.25 s²)
s = 1.5 m + (2 m/s²)(1.125 s²)
s = 1.5 m + 2.25 m
s = 3.75 m
Therefore, Flix moved a distance of 3.75 meters while he was accelerating.
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Tyra made the following bar graph shown to represent the relative distances of four different astronomical bodies from Earth.
The title of the bar graph is Distance of Bodies in Space from Earth. Four bars are labeled A, B, C, and D. Bar C is the shortest. Bar D is about three times the size of bar C. Bar A is about six times the size of bar C. Bar B is about eight times the size of bar C.
If D represents Mercury, which of the following could be represented by B and C?
B could be the moon, and C could be Venus.
B could be Venus, and C could be the moon.
B could be the moon, and C could be Jupiter.
B could be Jupiter, and C could be the moon.
Answer: D
Choice A calls B the moon which is incredibly tiny compared to Venus so this is wrong, choice B calls B Venus which is a relatively small planet and C the moon... that is a bit overkill so no. Choice C says B is the moon and C is Jupiter, Jupiter being the largest planet this is a easy no, leaving D to be the only logical and correct answer.
Explanation: MARK ME BRAINLIEST PLZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer: Answer D. because B. Jupiter is the farthest from Earth from those answer choices and C. is the moon because it is the closest out of those answer choices.
So, the answer is D: B could be Jupiter, and C could be the moon.
Explanation: Please give Brainlist.
Hope this helps!!!!
Diana hangs a lead cylinder with a force of 12 N from a model bridge.
Which vector(s) accurately illustrates the reaction force of the bridge on the lead cylinder?
The action and reaction law allows us to find that the reaction force, the weight of the cylinder, is:
12 N force directed upward
Newton's third law or action and reaction law, establishes that if two bodies interact with each other the force that one applies to the other, is equal in magnitude to the force of the second on the first but in the opposite direction, that is, all forces act in pairs one in each body that interact.
Forces with these characteristics are called action and reaction.
In this case we have a hanging cylinder, with the cylinder it has mass so the weight is 12 N it acts on the table in a downward direction, let's say this is the action force.
In response to this force, the table exerts a force on the cylinder of equal magnitude but in the opposite direction, which is why it is directed upwards.
let's analyze the force diagram
When analyzing the forces shown in the diagram, the forces of equal magnitude to the weight are the first twoThe weight is directed downward, the answer must be directed upward.
In conclusion using theaction and reaction law we find that the answer for reaction force is:
12 N force directed upward
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The corpus callosum is comprised of more than 200 million axons that connect the hemispheres of the brain. Please select the best answer from the choices provided T F
Hello, love! The answer is True, or T, on Edge2020.
Hope this helped!
~ V.
Answer:
'Tis True my friends
Explanation:
What percentage of energy do secondary consumers get from the sun?.
The percentage of energy that secondary consumers get from the sun is typically around 1% or less.
Secondary consumers often receive 1% or less of the energy that comes from the sun. This is because energy is transferred through trophic levels in an ecosystem, with primary producers (such as plants) receiving energy directly from the sun. Primary producers typically convert about 1% of the sun's energy into chemical energy through the process of photosynthesis. Then, primary consumers (herbivores) obtain around 10% of the energy available from primary producers when they consume plants. Finally, secondary consumers (carnivores) obtain around 10% of the energy available from primary consumers when they consume them. Thus, secondary consumers receive approximately 1% (10% of 10%) of the energy initially provided by the sun.
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what is the value of sin square 60
Explanation:
\( \sin(60) = \frac{ \sqrt{3} }{2} \\ \\ \sin(60 ) {}^{2} = ( \frac{ \sqrt{3} }{2} ) {}^{2} \\ \\ \sin(60 ) {}^{2} = \frac{3}{4} \)
In the absence of friction, explain why the horizontal component of a projectile’s velocity is a constant.
Answer:
This downward force and acceleration results in a downward displacement from the position that the object would be if there were no gravity. The force of gravity does not affect the horizontal component of motion; a projectile maintains a constant horizontal velocity since there are no horizontal forces acting upon it
what is not an economical operation of a vehicle? applying the brakes smoothly starting the car quickly obeying the speed limit checking for maintenance regularly
The option that is not an economical operation of a vehicle is starting the car quickly. Starting the car quickly will reduce fuel economy, as the engine has to work harder to accelerate the car quickly.
Obeying the speed limit is the most economical way to operate a vehicle, as driving at higher speeds requires more fuel. Checking for maintenance regularly is important for the overall efficiency of a vehicle, as preventive maintenance and timely repairs can keep a vehicle running optimally. Applying the brakes smoothly and obeying the speed limit are both considered economical operations of a vehicle because they can help save fuel and reduce wear and tear on the vehicle, resulting in long-term cost savings.
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You push a book across a table. The book moves at a constant speed, but you do not move. Identiffy all the forces on you. Then identify all of the forces on the book
The forces acting on me are static frictional force and reaction force of the book. The forces acting on the book moving with a constant speed are Applied force and Kinetic frictional force.
Forces acting on me are
Static frictional forceReaction force of the bookThe book at rest, will have a static frictional force. So when I push the book, these forces will act on me. According to Newton's third law of motion, when I apply a certain amount of force on the book, the book will exert the equal amount of force on me.
Forces acting on the book are
Applied forceKinetic frictional forceThe book when moving at constant velocity will have zero net force, because according to Newton's second law of motion, force is directly proportional to acceleration. If the velocity is constant, acceleration will be zero and net force will also be zero. Since the book is moving on a table, a kinetic frictional force will act on the book to resist the movement of the book.
Therefore,
The forces acting on me are Static frictional force and Reaction force of the book.The forces acting on the book are Applied force and Kinetic frictional forceTo know more about Newton's second law of motion
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Elements in the same group have…
A. A wide range of chemical properties
B. The same atomic radius
C. Number of electrons in its outer shell.
D. Same number of protons
E. The same number of electron shells.
17.
A car is accelerated at 4.0 m/s2 from rest. How long does it take the car to reach a speed of 28 meters per second?
Answer:
t = 7 seconds
Explanation:
Given that,
The acceleration of a car, a = 4 m/s²
The initial velocity of the car, u = 0
Final velocity of the car, v = 28 m/s
We need to find how much time the car to reach a speed of 28 m/s. Using the definition of the acceleration of a car. It is given by :
\(a=\dfrac{v-u}{t}\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{28}{4}\\\\t=7\ s\)
So, it will take 7 seconds to reach a speed of 28 m/s.
if the barge is made out of 4.6- cm -thick steel plate on each of its four sides and its bottom, what mass of coal can the barge carry in freshwater without sinking?
To determine the maximum mass of coal the barge can carry in freshwater without sinking, we need to consider its buoyancy and weight. Buoyancy is the force that allows the barge to float and is equal to the weight of the water displaced by the barge. The weight of the barge and its cargo must not exceed the buoyant force to prevent sinking.
Assuming the barge has a rectangular shape, we can calculate its volume using the formula V = l x w x h, where l is the length, w is the width, and h is the height of the barge. Let's assume the barge is 30 meters long, 10 meters wide, and 4 meters high. Therefore, the volume of the barge is V = 30 x 10 x 4 = 1200 cubic meters.
Since the barge is made of 4.6-cm-thick steel plates on each side and the bottom, we need to calculate the weight of the steel and subtract it from the buoyant force. The density of steel is approximately 7850 kg/m^3. The total surface area of the barge is (2 x 30 x 4 + 2 x 10 x 4 + 30 x 10) = 280 square meters. Therefore, the mass of the steel in the barge is:
mass of steel = density x volume x thickness
mass of steel = 7850 x 280 x 0.046
mass of steel = 97,724 kg
Next, we need to calculate the buoyant force acting on the barge. The density of freshwater is 1000 kg/m^3. Therefore, the weight of the water displaced by the barge is:
weight of water = density x volume
weight of water = 1000 x 1200
weight of water = 1,200,000 kg
Finally, we can calculate the maximum mass of coal the barge can carry in freshwater without sinking:
maximum mass of coal = weight of water - weight of barge and steel
maximum mass of coal = 1,200,000 - (97,724 + weight of coal)
Assuming the density of coal is approximately 1300 kg/m^3, we can calculate the volume of coal that the barge can carry:
volume of coal = (weight of coal) / (density of coal)
Substituting this in the previous equation and solving for the maximum mass of coal, we get:
maximum mass of coal = 1,200,000 - (97,724 + volume of coal x 1300)
Solving for the maximum volume of coal, we get:
volume of coal = (1,200,000 - 97,724) / 1300
volume of coal = 882.7 cubic meters
Therefore, the maximum mass of coal the barge can carry in freshwater without sinking is:
maximum mass of coal = volume of coal x density of coal
maximum mass of coal = 882.7 x 1300
maximum mass of coal = 1,146,510 kg
In conclusion, the barge can carry a maximum of 1,146,510 kg of coal in freshwater without sinking, assuming the barge has a rectangular shape with dimensions of 30 x 10 x 4 meters and is made of 4.6-cm-thick steel plates on each side and the bottom.
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lasers work by a process that turns the light from the laser into heat called:
Lasers work by a process that does not turn the light from the laser into heat. Instead, lasers operate on the principle of stimulated emission of radiation.
In a laser, atoms or molecules are excited to higher energy levels, and when they return to their ground state, they emit photons of light. These emitted photons are coherent, meaning they have the same frequency, phase, and direction. The emitted light is then amplified by passing it through a gain medium, such as a crystal or gas, resulting in a highly concentrated beam of light. This concentrated light beam is not converted into heat but rather maintains its optical properties and intensity.
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Lasers work by a process that turns the light from the laser into heat called: photothermolysis
what body part plays a strong role in releasing power
Answer:
I think your bones, muscles, and joints your welcome :)
Explanation:
003 (part 1 of 2) 10.0 points
a) Calculate the angular momentum of Earth
that arises from its spinning motion on its
axis (IE= 0.331MERE).
Answer in units of kg-m²/s.
004 (part 2 of 2) 10.0 points
b) Calculate the average angular momentum
of Earth that arises from its orbital motion
about the sun.
(a) The angular momentum of Earth due to its spinning motion on its axis is 7.06 × 10²² kg-m²/s.
(b) The average angular momentum of Earth due to its orbital motion around the sun is 2.66 × 10⁴⁰ kg-m²/s.
What is the angular momentum of the Earth?(a) The angular momentum of Earth due to its spinning motion on its axis can be calculated using the formula:
L = Iω
Where;
L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.The moment of inertia of Earth (I_E) is 0.331 times the product of the mass (M_E) and the square of the radius (R_E) of the Earth, i.e., I_E = 0.331M_ER_E².
The angular velocity of Earth can be approximated as 7.292 × 10⁻⁵ radians per second.
Substituting these values into the formula, we get:
L = I_E ω
= 0.331M_ER_E² × 7.292 × 10⁻⁵ radians per second
= 7.06 × 10²² kg-m²/s
(b) The average angular momentum of Earth due to its orbital motion around the sun can be calculated using the formula:
L = mvr
Where;
L is the angular momentum, m is the mass of Earth, v is the orbital velocity of Earth, and r is the distance between Earth and the sun.The mass of Earth (m) is 5.97 × 10²⁴ kg, the average distance between Earth and the sun (r) is approximately 149.6 × 10⁹ meters, and the orbital velocity of Earth (v) is approximately 29.78 km/s.
Substituting these values into the formula, we get:
L = mvr
= 5.97 × 10²⁴ kg × 29.78 km/s × 149.6 × 10⁹ meters
= 2.66 × 10⁴⁰ kg-m²/s
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Two football players are running toward each other. One football player has a mass of 105 kg and is running at 8.6 m/s. The other player has a mass of 90 kg and is running at -9.0 m/s.
What is the momentum of the system after the football players collide?
A. 93 kg · m/s
B. 1,713 kg · m/s.
C. 810 kg · m/s.
D. 903 kg · m/s.
Answer:
A
Explanation:
Answer:
Answer A-93
Explanation:
calculate the radii 1, 2, and 3 of the nuclei n715, u92238, and fe2656, respectively.
The radius οf nucleus fe2656 is apprοximately 4.478 femtοmeters.
How to calculate the radii οf nuclei?Tο calculate the radii οf nuclei, we can use the empirical fοrmula fοr nuclear radius:
\(r = r0 * A^{(1/3)\)
where:
r is the radius οf the nucleus
r0 is a cοnstant with a value οf apprοximately 1.2 fm (femtοmeters)
A is the mass number οf the nucleus
Let's calculate the radii fοr the given nuclei:
Fοr nucleus n715:
A = 7 (mass number)
r0 = 1.2 fm
\(r = r0 * A^{(1/3)\)
\(= 1.2 * 7^{(1/3)\)
≈ 1.2 * 1.913
≈ 2.295 fm
The radius οf nucleus n715 is apprοximately 2.295 femtοmeters.
Fοr nucleus u92238:
A = 238 (mass number)
r0 = 1.2 fm
\(r = r0 * A^{(1/3)\)
\(= 1.2 * 238^{(1/3)\)
≈ 1.2 * 6.315
≈ 7.578 fm
The radius οf nucleus u92238 is apprοximately 7.578 femtοmeters.
Fοr nucleus fe2656:
A = 56 (mass number)
r0 = 1.2 fm
\(r = r0 * A^{(1/3)\)
\(= 1.2 * 56^{(1/3)\)
≈ 1.2 * 3.732
≈ 4.478 fm
The radius οf nucleus fe2656 is apprοximately 4.478 femtοmeters.
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A car traveling due north at 60 km/hr increased its velocity to 80 m/s due south in 20 seconds. Draw i) speed against time graph, ii) acceleration against time graph.
The slope of the graph is acceleration of the car with a value of 3.2 m/s².
The given parameters;
initial velocity of the car, u = 60 km/hrfinal velocity of the car, v = 80 m/stime of motion of the car, t = 20 sThe initial velocity of the car in m/s is calculated as follows;
\(60 \ \frac{km}{hr} \times \frac{1 \ hr}{3600 \ s} \times \frac{1000 \ m}{1 \ km} = 16.67 \ m/s\)
The acceleration of the car is calculated as follows;
\(a = \frac{v- u}{t} \\\\a = \frac{80 - 16.67 }{20} \\\\a = 3.2 \ m/s^2\)
The graph of the velocity against time and acceleration against time is in the image uploaded.
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