The formula for k in terms of the period T and the mass m in spring constant problem is k = 4π²m/T². The formula applies to a spring-mass system.
What is a spring-mass system?A spring-mass system is a system where a mass of object is attached at the free end of the spring. The system will perform a simple harmonic motion where the oscillations occur periodically. The period of any moving object in that motion can be counted as follows
T = 2π√(m/k)
Where
T = period (s)m = mass of object (kg) k = spring constant (N/m)Find the formula for the spring constant k in terms of T and m!
We use the formula above to find k.
T = 2π√(m/k)
√(m/k) = T/2π
m/k = (T/2π)²
m/k = T²/4π²
k = 4π²m/T²
Hence, the formula for the spring constant in the spring-mass system is k = 4π²m/T². The answer is A.
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(Interplanetary Science) its 2 questions about the moon
The above prompt is related to Interplanetary Science or Astronomy.
1) The diagram that best represents the appearance of the Moon at position P 'When viewed from the Earth is Option A.
2) The factor that most likely caused the difference in the apparent size of the Moon in photographs A and B is: "The distance from the Earth to the Moon changed." (Option D).
What is Interplanetary Science?The study of planets and other objects in our solar system is known as interplanetary science. Telescopes, satellites, and other technologies are used by scientists to understand more about these objects and how they developed and evolved through time.
It also entails researching the possibility of life on other planets and moons, as well as learning about the solar system's past and future.
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The three wave pulses in the figure(Figure 1) travel along the same stretched string.
Rank in order, from largest to smallest, their wave speeds va, vb, and vc.
The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.
Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.
The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.
The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.
Consequently, va = vb = vc.
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A car travels at a constant speed around a circular track whose radius is 3.0 km. The car goes once around the track in 320 s. What is the magnitude of the centripetal acceleration of the car
The magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
What is centripetal acceleration?Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is responsible for the change in direction of the object's velocity.
The magnitude of the centripetal acceleration of an object moving in a circle is given by the formula:
a = v² / r
where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circle.
Given that the car goes once around the track in 320 s, we can calculate its velocity by using the formula:
v = d / t
where d is the distance traveled and t is the time.
d = 2pir = 2pi3.0 km = 18.849 km
t = 320 sec
so the velocity of the car is v = 18.849 km / 320 sec = 0.059 km/sec.
We can now use the formula to find the centripetal acceleration of the car
a = v² / r = (0.059 km/sec)²/ 3.0 km = 0.0034 km/sec²
Hence, the magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
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A block of mass 0.10 kg is attached to one end of a spring with spring constant 50n*m. The other end of the spring is secured to a wall. The block is pushed against the spring, which compresses the spring to a position of x=-0.04m. When uncompressed, the end of the spring that is attached to the block is at a position of x=0.00m. The block-spring system is then released from rest, and the block travels along a horizontal, rough track. A motion sensor is placed so that it measures the velocity of the object as it slides along the track. A graph of total mechanical energy of the block-spring system as a function of position is shown. Which of the following statements about the block-spring system are true? Select two answers.
The force exerted on the block by the spring at x=−0.02 m is 1 N.
The block has maximum speed at x=0.00 m.
The block has half the initial spring potential energy at x=−0.025 m.
The work done by friction as the block travels from x=-0.04 m to x=-0.02 m is 0.01 J
Based on the graph;
The work done by friction as the block travels from x =-0.04 to x = −0.02 m is 0.01 J.
The force exerted on the block by the spring at x = −0.02 m is 1 N.
What is a spring constant?The stiffness of a spring is indicated by the spring constant, k. For various springs and materials, it varies. The stiffer the spring is and the harder it is to stretch, the larger the spring constant. The spring constant is a measure of the spring's stiffness.
The force exerted by a spring of spring constant, k is given below as follows:
F = - kx.
where;
F is the forcek is called the spring constant. x is the change in length from its equilibrium length, the negative sign indicates that the spring exerts a force F in a direction toward its equilibrium position.Learn more about spring constant at: https://brainly.com/question/23885190
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Consider the following reaction
2Mg(s) + 02 (9) 2Mgo (s)
If 21. 2 kcals of energy is released by this reaction, how many kJ
of energy does the reaction release? (1 cal = 4. 184 J) (Round off
decimal to nearest tenths)
In the given reaction, 2Mg(s) + O₂ (g) → 2MgO (s), 88.7 kJ of energy will be released.
The reaction 2Mg(s) + O₂ (g) → 2MgO (s) involves the release of energy from the system and hence it is an exothermic reaction. 21.2 kcals of energy is released from this reaction.
21.2 kcals = 21.2 × 10³ calories
1 cal = 4.184 J
For 21.2 × 10³ calories,
21.2 × 10³ cal × 4.184 = 88.70 × 10³ cal
To convert J to kJ, we divide it by 10³
88.70 × 10³ / 10³ = 88.70
Rounding off to nearest tenths, the amount of energy released by the given reaction in kJ = 88.7 kJ
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Two pendulums have the same dimensions (length L) and total mass 1m2. Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar. Find the period of each pendulum for small oscillations. Which one takes longer for a swing
For pendulum A, the period of oscillation is T = 2π × √(L/g). For pendulum B, the period of oscillation is T = 2π × √(2L/g). As we can see from the formula, Pendulum B takes longer for a swing as its period of oscillation is longer than pendulum A due to the fact that half the mass is distributed along the uniform bar.
The period of a pendulum is given by the formula T = 2π × √(L/g) where L is the length of the pendulum and g is the acceleration due to gravity.
For pendulum A, the total mass is concentrated in the small ball at the end of the massless bar, so the period of oscillation is T = 2π × √(L/g)
For pendulum B, half the mass is in the small ball, and half is distributed along the uniform bar, so the period of oscillation will be T = 2π × √(2L/g)
In both cases, the length of the pendulum is the same, so the period of oscillation for pendulum A is shorter than the period of oscillation for pendulum B. Therefore pendulum B takes longer to swing.
It's worth noting that these calculations are based on small oscillations, when the angle of oscillation is small, as the period of a pendulum is dependent on the angle of oscillation.
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explain why many houses in hot areas like Mombasa should be painted white while those in colder places like timboroa should be painted with dark colours
Answer:
In places of hot climate, it is advised that the outer walls of house be painted white because white color does not absorb any heat radiation from the sun which keep inside cool even if there is hot climate outside the house.
A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
How do you find a velocity of an object?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.
An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.
Therefore, the correct answers are:
a) 75 m/s
b) 1.4 x 103m/s2
c) 2.8 x 103N
d) 75 m/s tangential object flight.
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What is the difference between static stretching and passive stretching?
The difference between static stretching and passive stretching is that static stretching is done independently by moving the body, while passive stretching is done using outside assistance.
Stretching is the activity of carrying out movements aimed at flexing or relaxing stiff body parts. Stretching is done to avoid muscle injury because it has benefits such as flexibility, range of motion, circulation, and range of motion of the joints.
There are several types of stretching to relax the body, two of which are static stretching and passive stretching. Static stretching is a movement that is done slowly on the muscles until there is tension and pain. While passive stretching is stretching that is done with outside help such as using a tool or asking for help from others to relax and flex certain muscle parts. So the difference between the two stretches is that static stretching is done independently by moving the body itself, while passive stretching is done using outside help.
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A 3.00kg mass is attached to an ideal spring with k =200N/m ,if the velocity of the body at 0.25 is 2.3m/s find the amplitude and maximum velocity
Answer:
To solve this problem, you can use the following formula:
v = sqrt(k / m) * A
In this formula, v is the velocity of the mass, k is the spring constant, m is the mass of the object, and A is the amplitude of the oscillation.
Since you know the velocity of the mass at 0.25 seconds, you can substitute this value into the formula and solve for A:
2.3 m/s = sqrt(200 N/m / 3.00 kg) * A
A = 2.3 m/s / sqrt(200 N/m / 3.00 kg)
= 0.23 m
So, the amplitude of the oscillation is approximately 0.23 meters.
To find the maximum velocity of the mass, you can substitute the values for k, m, and A into the formula for velocity:
v = sqrt(200 N/m / 3.00 kg) * 0.23 m
= 2.75 m/s
So, the maximum velocity of the mass is approximately 2.75 m/s.
Two spheres A and B of mass 6. 5 kg and 8. 3 kg, respectively, are separated by a distance of 0. 56 m. (a) Calculate the magnitude, in N, of the gravitational force A exerts on B and B exerts on A. Force A exerts on B N force B exerts on A N (b) If the force between the spheres is now 3. 50 10-9 N, how far apart are their centers, in meters
Add the x- and y-component squared values together, then take the square root of the result to determine the force's magnitude.
The distance between a vector's starting point P and ending point Q is its magnitude. The magnitude of PQ is represented symbolically as | PQ |. The Distance Formula can be used to determine a vector's magnitude if its start and end points' coordinates are known. We must add together all the forces acting on the item in the x and y directions in order to calculate the net gravitational force. The square root of the sum of the squares of these two values is then used to calculate.
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Salt dissolves in water to form saltwater. Is this considered a chemical change or a physical change
Salt dissolves in water to form saltwater. This kind of change is regarded as a chemical change.
A physical change is a kind of change in which only the physical properties of matter change. In a physical change, neither the composition nor the chemical nature of matter is changed.
A chemical change involves a chemical process that results in the production of new substances. When you dissolve salt in water the sodium chloride dissociates in Na+ and Cl- ions which can be written in the form of a chemical reaction as,
NaCl → Na+(aq) + Cl-(aq)
Thus, dissolving salt in water is an example of a chemical change.
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After falling for 5.5 seconds, what would be the final velocity of the object?
(Picture Provided)
Please I need help on this!
The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
What is Final velocity?
The second approach determines the amount of velocity change brought on by acceleration over a given period of time.
Finally, the average velocity formula is used in the third section of the velocity calculator, which may be helpful if you need to examine trips with varying speeds across different distances.
According to the definition of velocity, it is the rate at which an object's position changes over time. Consideration of body motion is one of the fundamental ideas in classical mechanics.
Therefore, The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
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What type of stretch stretches would benefit an individual preparing for activity?
Dynamic stretching is typically recommended for individuals preparing for physical activity.
Dynamic stretching involves movements that gradually increase in range of motion and muscle length, such as arm swings, leg swings, and torso twists.
These exercises help to improve flexibility, range of motion, and muscular coordination, as well as increase blood flow to the muscles to prepare them for activity. Static stretching is best done after the activity to help reduce muscle soreness and keep the muscles flexible.
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The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right)
The magnitude of the ratio of charges q1 to q2 is 23:12.
Electric field lines help us to visualize electric fields. There are two charges in the figure represented by colors red on the left and blue on the right. The red is charge q1 and and blue is charge q2. The number of electric field lines that are emerging from charge q1 and q2 are proportional to their respective charges.
The electric field lines emerging from q1 charge in red are 23 while the electric field lines emerging from the q2 charge in blue are 12. Therefore, the ratio of magnitude of their charges will be
⇒ q1/q2 = 23/12
Therefore, the magnitude of the ratio of q1 to q2 is 23:12.
--The question is incomplete, the complete question is
"The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right), calculate the magnitude of their ratio."--
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Albert pushes a 6 kg 6 kg box across a level floor. He pushes with a force of 43 N 43 N and observes that the box accelerates in the direction of his push at a rate of 2 m/s22 m/s2 . What is the net force acting on the box
The net force acting on the box, and the frictional force acting backward is 25 N
Calculation:Here,
mass ,m = 12 Kg
F1 = 49 N
a = 2 m/s^2
Using the second law of motion
net force on the particle = m * a
net force on the particle = 12 * 2
the net force on the particle = 24 N
let the frictional force is f
F1 - f = Fnet
49 - f = 24
f = 25 N
How can you determine the total force exerted on an object?The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.
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A quarterback throws a ball at 50.00 m/s,and reaches the receiver 0.56 seconds later.What is the distance from the quarter back to the receiver
Answer: 64 m is the maxium distance the ball can travel
a marble launchers fires a marble into the air so that it reaches a height of 3.25 m determine the initial velocity of the marble
The velocity of the launched marble is 7.98 m/s. Using the formula by equation kinetic energy and potential energy.
What is potential energy?
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Calculations:
Total kinetic energy will get converted into potential energy
[tex]\frac{1}{2} m V^{2}[/tex] = [tex]m g h[/tex]
M = mass
V = initial velocity
h = maximum height
[tex]V = 2 g h^{0.5}[/tex]
= [tex](2 * 9.8 * 3.25 )^{0.5}[/tex] = 7.98 m/s.
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How does using myNav Accenture to help its client become more sustainable?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.establishes sustainable guidelines for disposing of outdated technology.
myNav Green Cloud Advisor assists businesses in developing cloud solutions that cut carbon emissions and create a platform for ethical innovation. Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers.
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great players like LeBron James and Michael Jordan, due to their muscular bodies and athletic talent, defy against the law of physics true or false
The given statement is false. Due of their athleticism and muscular bodies, exceptional athletes like LeBron James or Michael Jordan transcend the laws of physics.
What is law of physics ?Laws of Physics are by their very nature statements of facts that have been inferred and developed from empirical data. Simply said, physical laws are a technique of categorizing how the world behaves when it comes to "functioning."
What is force?When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them. Actual forces can only be created by interaction.
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I need help! 20 points.
No system is completely closed off from its surroundings.
Which example represents a system that is almost completely closed?
a freezer with the door shut
a wood-burning fireplace
a cup of tea on a counter
a pot of simmering soup
Answer: a freezer with the door shut
Explanation:
Select the correct answer. what are you calculating when you measure the disorder of a system?
a. enthalpy
b. efficiency
c. entropy
d. energy
e. equilibrium
Therefore, entropy is the measure of the disorder of a system.
What is the measure of disorder in entropy?More specifically, the second law of thermodynamics asserts that "any isolated or closed system will always have an increasing (or at least constant) net entropy as time progresses." Entropy, which measures disorder, has an impact on every element of our daily life. The term "entropy" used in thermodynamics also refers to statistical entropy. It is a measurement of a substance's disorder at the molecular level that is aggregated and assessed at the macroscopic level. The kinetic energy of the substance is also measured by the entropy. The total amount of heat is measured by enthalpy. - Entropy is a metric used to express the degree of chaos. Both have to do with the rules of thermodynamics.To learn more about entropy refer to:
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which of the following is an explanation for the apparebtbincrease in the rate that the universe is expanding?
a. hadrons
b. dark energy
c. CMB radiation
d. dark matter
An explanation for the apparent increase in the rate at which the universe is expanding is dark energy. The correct option is b.
What is dark energy?A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.
We would first need to locate dark energy before scientists could even consider whether it could be possible to use it as a source of electricity.
Therefore, the correct option is b. dark energy.
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4. What is the frequency of an electromagnetic wave if it has a wavelength of 1.0 km?
The radio wave's wavelength is 1.0 m. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
Calculation:The following formula was used to determine the frequency:
radio wave speed, c = radio wave frequency / radio wave length
c = f x λ
Because a radio wave is an electromagnetic wave and travels at the same speed as light, its speed, c = 3 x 108 m/s, is equal to the speed of light in this case.
When the formula
3 x 108= f x 1.0
f = 3 x 108/1
f = 3 x 108 Hz is used,
Radio waves therefore have a frequency of 3 x 108 Hz.
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Adjusting the test-mass riser along the platform changes the radius of the circular path. True or false?
False: Adjusting the test-mass riser along the platform changes the radius of the circular path.
What is circular path ?
A circular path is a path that follows a circular shape or loop, as opposed to a linear path which follows a straight line. It is a type of motion that is common in physics, engineering, and mathematics. In engineering, circular paths are often used to describe the motion of objects such as wheels, gears, and pulleys.
In mathematics, circular paths are commonly used to describe rotations, orbits, circles, and other types of curves. Circular paths can also be used in artwork, architecture, and design.
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A voltage vL(t)=10cos(2000πt) is applied to a 100-mH inductance.
A)Find the complex impedance of the inductance.
The complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is: j200Ω.
What is inductance?
Inductance is a property of an electrical component that describes the ability of the component to store energy in a magnetic field when electric current passes through it.
Inductance is measured in units of henrys (H). When current flows through a component with inductance, it creates a magnetic field around the component that resists changes to the current. This resistance to changes in current is called inductive reactance and is measured in units of ohms.
The complex impedance of an inductor is given by Z = jωL, where ω is the angular frequency and L is the inductance.
Therefore, the complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is:
Z = j(2000π) (100 x 10-3) = j(2π) (100 x 10-3) = j200Ω
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what is the reading of the energy meter in figure 1 when an appropriate laser is used in pac to dissociate a particular chemical bond?
According to this, the laser always has higher energy than what is required to break the bond. A portion of the energy is utilized to break the bond, the rest is transformed into heat.
How is an energy meter measured?Kilowatt-hours are the unit used by your electric meter to measure power use. One kilowatt hour is equal to one thousand watt-hours. For instance, the energy usage is computed as 100 watts x 10 = 1,000 watts if a 100-watt light bulb is on for 10 hours.
How is electrical energy measured?Watts are units used to measure the power of electricity. One ampere under the pressure of one volt is equal to one watt of electrical power. The power of one watt is negligibly little.
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A man is pushing a baby stroller. Compared to the magnitude of the force exerted on the stroller by the man, the magnitude of the force exerted on the man by the stroller is A larger. B zero. C smaller, but greater than zero. D the same
A man is pushing a baby stroller. Compared to the magnitude of the force exerted on the stroller by the man, the magnitude of the force exerted on the man by the stroller is the same.
From Newton's third law of motion, the force exerted on the stroller by the man is same as the force exerted on the man by the stroller but is in the opposite direction.
Thus, the magnitude of the force exerted on the stroller by the man and the magnitude of the force exerted on the man by the stroller is same but in opposite direction.
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What is the relationship between mass thermal energy transfer kinetic energy and temperature?
The relationship between mass thermal energy transfer kinetic energy and temperature is: When the temperature of an object raises, the average kinetic energy of its particles raises. When the average kinetic energy of its particles raises, the object's thermal energy raises.
The thermal energy in a substance is the whole kinetic energy of all the particles in the substance. If we warm a substance or object, as each particle speeds up, the average speed of the particles (temperature) raises, and accordingly the total speed (kinetic energy) of the particles (thermal energy).
The total of heat transferred is also directly proportional to the mass. To make an equivalent temperature change in a doubled mass, we need to add twice the heat.
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1. Similar with the electron,what does the man require to climb up the stairs?
2. When going up the stairs,is it possible to reach the top instantly?(represent man as electron when explaining)
3. What happens to a person attempting to step on the next level with insufficient energy?(represent man as electron when explaining)
4. Can electrons occupy any space between energy levels?
Pahelp po
Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)
You can ascend stairs with the aid of stored muscular energy, and in this case, you obtain potential energy since you gain height while doing so.
None of the voids between the orbits may be occupied by the electron. The rungs of a ladder serve as a commonplace illustration of the Bohr model. You can only be on certain rungs of a ladder as you climb or descend it; you cannot be in the spaces between the rungs. Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)
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