10 points
5). A car accelerates from rest to the speed of 9.6m/s over a distance of
40.5m. Determine the acceleration of the car.

Answers

Answer 1

Explanation:

u=0 m/s

v=9.6 m/s

s= 40.5 m

a=?

V^2=u^2 +2as

9.6^2=0+2×a×40.5

92.16=81a

a=92.16/81

a=1.14m/s^2


Related Questions

2 20 points
A student is given information on a wave. They are asked to determine if the wave is mechanical or electromagnetic Which of the following questions could the
studentask to help determine which type of waveitis?
O Can the wwe be reflected?
O Can the wwe transmitenerer?
O Does the wwe travel faster in air or in water?
Does the wave travel through matter?

Answers

Answer: Mechanical waves must travel through a medium, but electromagnetic waves do not require a medium to travel.

Explanation: 'Electromagnetic' waves do not need any medium to travel whereas 'mechanical waves' need a medium or matter for transmission. Electromagnetic waves are produced by the 'vibrations' of the charged particles. They can even travel in vacuum.  

On the contrary, mechanical waves are caused by the 'wave amplitude'. Mechanical wave can travel in solid, liquid and gas and are considered to be periodic disturbance.

Answer:

I don't believe it is any of those because sound waves all do that as well as electromagnetic waves

Explanation:

2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True

Answers

The statement that is NOT true is "the spaces between the particles increased.

option D.

What is effect of temperature on volume?

If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.

Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.

As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.

However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.

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. In a classic clip on America’s Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring
air resistance, calculate (a) the position and (b) the velocity of the cat after 0.100 s, 0.200 s, and 0.300 s.

Answers

After 0.100 s, the cat would be 0.049 m below its initial position, with a velocity of 0.98 m/s. After 0.200 s, the cat would be 0.196 m below its initial position, with a velocity of 1.96 m/s. Finally, after 0.300 s, the cat would be  0.441 m below its initial position, with a velocity of approximately 2.94 m/s.

To calculate the position and velocity of the sleeping cat after certain time intervals, we need to make some assumptions and use basic principles of physics.

Assuming the cat falls vertically downward due to gravity and ignoring air resistance, we can apply kinematic equations to solve the problem.

(a) Position:

Using the equation for the position of an object in free fall, h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is time, we can determine the position of the cat.

After 0.100 s: h = (1/2)(9.8 m/s^2)(0.100 s)^2 = 0.049 m (approximately)

After 0.200 s: h = (1/2)(9.8 m/s^2)(0.200 s)^2 = 0.196 m (approximately)

After 0.300 s: h = (1/2)(9.8 m/s^2)(0.300 s)^2 = 0.441 m (approximately)

(b) Velocity:

The velocity of the cat can be calculated using the equation v = gt, where v is the velocity and t is time.

After 0.100 s: v = (9.8 m/s^2)(0.100 s) = 0.98 m/s (approximately)

After 0.200 s: v = (9.8 m/s^2)(0.200 s) = 1.96 m/s (approximately)

After 0.300 s: v = (9.8 m/s^2)(0.300 s) = 2.94 m/s (approximately)

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*PLEASE HELP*
When an object is placed in front
of a convex lens, it creates a virtual
image at -12.8 cm with a
magnification of 2.85. What is the
focal length of the lens?
(Mind your minus signs.)
(Unit = cm)

Answers

Answer: The focal length of the lens = 3.32 cm.

Explanation:

Lens formula : \(\dfrac1f=\dfrac1v-\dfrac1u\)    (i)

f= focal length , v=image distance , u =object distance.

magnification: m = \(\dfrac{v}{u}\)   (ii )

Given: v= -12.8 cm , m =2.85

Put values in (ii), we get

\(2.85=\dfrac{-12.8}{u}\\\\\Rightarrow\ u=\dfrac{-12.8}{2.85}\\\\\Rightarrow\ u=-4.49\ cm\)

substitute values of u , v in (i)

\(\dfrac1f=\dfrac1{-12.8}-\dfrac{1}{4.49}\\\\\Rightarrow\dfrac1f=-0.30084214922\\\\\Rightarrow\ f=\dfrac{-1}{-0.30084214922}\approx3.32\ cm\)

Hence, the focal length of the lens = 3.32 cm.

Answer:

6.92

Explanation:

2.85=-(-12.8/x)

do=4.49

1/f= 1/4.49 + 1/-12.8

f=6.92

a stone dropps 7,11m how long will it take it to fall

Answers

The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.

What is time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.

Formula:

H = ut+gt²/2............ Equation 1

Where:

H = Heightu = Initial velocityt = Timeg = Acceleration due to gravity

From the question,

Given:

u = 0 m/sH = 7.11 mg = 9.8 m/s²

Substitute these values into equation 1 and solve for t.

7.11 = (0×t)+9.8×t²/27.11 = 4.9t²t² = 7.11/4.9t² = 1.451t = √1.451t = 1.2 seconds

Hence, the time it takes the stone to fall is 1.2 seconds.

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directions: show all your work. indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. four different statistics have been proposed as estimators of a population parameter. to investigate the behavior of these estimators, 500 random samples are selected from a known population and each statistic is calculated for each sample. the true value of the population parameter is 75. the graphs below show the distribution of values for each statistic. which of the statistics appear to be unbiased estimators of the population parameter? how can you tell? which of statistics a or b would be a better estimator of the population parameter? explain your choice. which of statistics c or d would be a better estimator of the population parameter? explain your choice.

Answers

An estimator is considered unbiased if its expected value is equal to the true value of the population parameter.

To determine if a statistic is unbiased, the mean of the 500 calculated values for each statistic should be compared to the true value of 75. If the mean of the calculated values for a statistic is close to 75, then it is considered an unbiased estimator. To determine which of statistics A or B would be a better estimator of the population parameter, the variance of the calculated values for each statistic should be compared. The statistic with a lower variance is considered a better estimator because it provides more accurate and consistent estimates. Similarly, to determine which of statistics C or D would be a better estimator of the population parameter, the variance of the calculated values for each statistic should be compared. The statistic with a lower variance is considered a better estimator because it provides more accurate and consistent estimates. It is important to note that a single unbiased estimator may not always be the best estimator as there may be trade-offs between bias and variance.

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A 15 kg mass weighs 60N on Planet X. The mass is allowed to fall freely from rest near the surface of the planet

Answers

The acceleration due to the gravity of planet X is equal to 4 m/s².

What is acceleration?

Acceleration can be demonstrated as the rate of change of velocity w.r.t. time. The acceleration is a vector quantity because it contains both magnitude and direction.

From Newton's 2nd law of motion, the force (F) is equal to the mass (m) times the acceleration (a) of an object.

F = ma

And, a = F/m

The weight of an object is equal to: W = mg

Given, the weight of the given mass on planet X, W = 60 N

The value of the given mass, m= 15 Kg

W = mg

60 N = 15 Kg ×g

g = 4 m/s²

Therefore, the acceleration due to the gravity of planet X is 4 m/s².

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Your question is incomplete, but most probably the complete question was,

A 15 kg mass weighs 60N on Planet X. The mass is allowed to fall freely from rest near the surface of planet X. What is the acceleration due to the gravity of planet X?

Based on the diagram, which statement explains how energy is conserved
during this chemical reaction?
A
Reaction progress
Potential energy
of a system
B
OA. The potential energy lost by the reaction system (B) is gained by
the surroundings.
B. The potential energy lost by the reaction system (C) is also lost by
the surroundings.
← PREVIOUS
OC. The potential energy changes indicated by C and B involve energy
lost by the surroundings.

Answers

The potential energy changes indicated by C and B involve energy lost by the surroundings. Therefore, option B is correct.

Potential energy is the energy possessed by an object due to its position or condition. It is often associated with the potential for the object to do work or undergo a change. The concept of potential energy arises from the interactions between objects or within a system.

Potential energy is converted into other forms of energy, such as kinetic energy (energy of motion) when the object or system undergoes a change or is acted upon by external forces.

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Your question is incomplete, most probably the correct answer is this:

Based on the diagram, which statement explains how energy is conserved during this chemical reaction? (A) is also gained by the surroundings. B. The potential energy changes indicated by C and B involve energy lost by the surroundings. C. The potential energy lost by the reaction system (C) is also lost by the surroundings. D. The potential energy lost by the reaction system (B) is gained by the surrounding​

Based on the diagram, which statement explains how energy is conservedduring this chemical reaction?AReaction

3.
Two Cars, A and B, (starting, at the same time, from the same point) are moving
with average speeds of 40 km/h and 50 km/h, respectively, in the same direction.
Find how far will Car B be from Car A after 3 hours.

Answers

Answer:

car B will be 30 Km ahead of car A.

Explanation:

We'll begin by calculating the distance travelled by each car. This is illustrated below:

For car A:

Speed = 40 km/h

Time = 3 hours

Distance =?

Speed = distance / time

40 = distance / 3

Cross multiply

Distance = 40 × 3

Distance = 120 Km

For car B:

Speed = 50 km/h

Time = 3 hours

Distance =?

Speed = distance / time

50 = distance / 3

Cross multiply

Distance = 50 × 3

Distance = 150 Km

Finally, we shall determine the distance between car B an car A. This can be obtained as follow:

Distance travelled by car B (D₆) = 150 Km

Distance travelled by car A (Dₐ) = 120 Km

Distance apart =?

Distance apart = D₆ – Dₐ

Distance apart = 150 – 120

Distance apart = 30 Km

Therefore, car B will be 30 Km ahead of car A.

What type of atomic radiation will most deeply penetrate matter?
Multiple Choice
Beta radiation
Gamma radiation
Alpha radiation

Answers

ANSWER IS gamma radiation

Gamma rays can be emitted from the nucleus of an atom during radioactive decay. They are able to travel tens of yards or more in air and can easily penetrate the human body. Shielding this very penetrating type of ionizing radiation requires thick, dense material such as several inches of lead or concrete.

Which statement explains why a rubber band analogy is not a perfect comparison for bonds in a substance when considering phase changes?(1 point)

For a phase change from solid to liquid, the bonds break completely and particles can move independently of each other.
For a phase change from solid to liquid, the bonds break completely and particles can move independently of each other.

For a phase change from solid to liquid, the bonds do not break completely and particles can still slide past each other.
For a phase change from solid to liquid, the bonds do not break completely and particles can still slide past each other.

For a phase change from liquid to gas, the bonds break completely and particles can move independently of each other.
For a phase change from liquid to gas, the bonds break completely and particles can move independently of each other.

For a phase change from liquid to gas, the bonds do not break completely and particles can still slide past each other.

Answers

Answer:

For a phase change from solid to liquid, the bonds do not break completely and the particles can still slide past each other

Explanation:

I took the quick check

PLEASE HELP! Thank you!
Chloe and Sarah are driving bumper cars. Chloe, who is traveling west at 3.9 m/s, is behind Sarah, who is traveling west at 1.6 m/s. The total mass of Chloe’s car is 163 kg, and total mass of Sarah’s car is 179 kg. Immediately after Chloe collides with Sarah, Chloe’s velocity reduces to 0.95 m/s west. What is Sarah’s velocity immediately after the collision?

A. 5.2 m/s
B. 4.0 m/s
C. 4.3 m/s
D. 4.6 m/s

Answers

Sarah’s velocity immediately after the collision is 4.3 m/s west.

option C is the correct answer.

What is Sarah’s velocity immediately after the collision?

Sarah’s velocity immediately after the collision is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ is the mass of Sarah's carm₂ is the mass of Chloe's caru₁ is the initial velocity of Sarahu₂ is the initial velocity of Chloev₁ is the final velocity of Sarahv₂ is the final velocity of Chloe

Sarah’s velocity immediately after the collision is calculated as;

179 (1.6) + 163(3.9) = 179v₁ + 163(0.9)

922.1 = 179v₁ + 146.7

179v₁ = 775.4

v₁ = 4.3 m/s

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PLEASE HELP ME!! SELECT ALL THAT APPLY!!! IF WRONG THEN REPORT ANSWER!! 50 POINTS AND BRAINLIEST!!!
Choose all the answers that apply.

Magnetism _____.

O is caused by the spinning motion of electrons
O is measured in watts
O can be used to create electricity
O is a property of all metals
O is the force of attraction or repulsion between objects

PLEASE MAKE IT CORRECT!!!!

Answers

the correct options are:

Magnetism is caused by the spinning motion of electrons.
Magnetism can be used to create electricity.
Magnetism is a property of some metals.
Magnetism is the force of attraction or repulsion between objects.

explain how wind erosion changes land forms

Answers

Answer:

the wind carries abrasive materials

Explanation:

such as sand and salt over time theses small particles slowly strip way at the land form sculpting it by eroding the softer layers first

Which of the following is true of the deep
water layer of the ocean?
A. warmest and least dense of the ocean layers
B. experiences a rapid decrease in temperature
C. is warm in the summer and cold in the winter
D. cold all year round

Answers

The answer is D. :>

Pls answer. Will rate 5 start and give a Thanks or Brainliest.
What are the characteristics of the Sun? (Select all that apply.)
Group of answer choices
The Sun is the center of our solar system and radiates energy.
The Sun is a medium-sized star compared to other stars in the universe.
The Sun has planets and dwarf planets that orbit it.
The Sun is composed of helium and hydrogen.
The Sun is near the end of its life.

Answers

The Sun is composed of helium and hydrogen. Option C.

The photosphere chromosphere and corona are all part of the Sun's atmosphere. Although the corona is sometimes called the solar atmosphere it is actually the sun's upper atmosphere. The sun's atmosphere includes features such as sunspots, coronal holes, and solar flares the sun is a star.

It's a huge spinning ball of hot gas. The sun is like a star in the night sky. Because we are so close it appears much larger and brighter than other stars. The sun is the center of the solar system and accounts for most of the mass of the solar system. Compared to the billions of other stars in the universe, the sun stands out. But for the Earth and the other planets orbiting around it, the Sun is a powerful focal point.

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The density of gold is 19.3g/cm³.what is the value in kilograms per cubic meter?

Answers

1.93 x 10(4) kg/m(3)
The density of gold is 19.3g/cm.what is the value in kilograms per cubic meter?

Calculate Speed The 2-kg metal ball moving at a speed of 3 m/s strikes a 1-kg wooden ball that is at rest. After the collision, the speed of the metal ball is 1 m/s.
Assuming momentum is conserved, what is the speed of the wooden ball?

Answers

Answer:

53466kg.

Explanatiokn:

A piston contains oxygen at 280 k occupying a volume of 0.25m3. The cylinder is compressed adiabatically to 0.14 m3, find the increase in temperature of the gas.

Answers

dhvxdryvbjjolbcsdfunnlpifsaf

sum it up a cornell doodle notes

Answers

I do not understand?

A proton traveling at 17.6° with respect to the direction of a magnetic field of strength 3.28 mT experiences a magnetic force of 9.14 × 10-17 N. Calculate (a) the proton's speed and (b) its kinetic energy in electron-volts.

Answers

Answer:

a) The proton's speed is 5.75x10⁵ m/s.

b) The kinetic energy of the proton is 1723 eV.  

Explanation:

a) The proton's speed can be calculated with the Lorentz force equation:

\( F = qv \times B = qvBsin(\theta) \)     (1)          

Where:

F: is the force = 9.14x10⁻¹⁷ N

q: is the charge of the particle (proton) = 1.602x10⁻¹⁹ C

v: is the proton's speed =?

B: is the magnetic field = 3.28 mT

θ: is the angle between the proton's speed and the magnetic field = 17.6°

By solving equation (1) for v we have:

\(v = \frac{F}{qBsin(\theta)} = \frac{9.14 \cdot 10^{-17} N}{1.602\cdot 10^{-19} C*3.28 \cdot 10^{-3} T*sin(17.6)} = 5.75 \cdot 10^{5} m/s\)

Hence, the proton's speed is 5.75x10⁵ m/s.

b) Its kinetic energy (K) is given by:

\( K = \frac{1}{2}mv^{2} \)

Where:

m: is the mass of the proton = 1.67x10⁻²⁷ kg

\( K = \frac{1}{2}mv^{2} = \frac{1}{2}1.67 \cdot 10^{-27} kg*(5.75 \cdot 10^{5} m/s)^{2} = 2.76 \cdot 10^{-16} J*\frac{1 eV}{1.602 \cdot 10^{-19} J} = 1723 eV \)  

Therefore, the kinetic energy of the proton is 1723 eV.

I hope it helps you!        

Use the table to answer the question: which direction is the slope on the force/acceleration graph for the given values
slope is equal to zero
positive
negative
there is no relationship between force and acceleration

Use the table to answer the question: which direction is the slope on the force/acceleration graph for

Answers

The slope of the graph of force against acceleration is positive.

What is slope?

The slope of a graph is change in vertical parameter to change in horizontal parameter.

The slope of a graph can be described as the change in y-axis to change in x-axis.

slope of the graph is calculated as follows;

slope = ΔF/Δa

where;

ΔF is change in force Δa is change in acceleration

slope = (F2 - F1) / (a2 - a1)

from the table,

f2 = 4, a2 = 14

f1 = 2, a1 = 7

slope = (4 - 2) / (14 - 7)

slope = 2/7

slope = 0.285 F /m/s²

Thus, we can conclude that the slope of the graph of force against acceleration is positive.

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The object that ends up with less electrons has a __________ charge.
A. Positive
B. Not enough info
C. Neutral
D. Negative
Reset Selection

Answers

The object that ends up with less electrons has a positive charge; option A.

What are electrons?

Electrons are negatively charged particles which form a part of the three fundamental particles in an atom.

Electrons can easily be removed from the vicinity of atoms making the atom to become positively charged. On the other hand, when atoms gain extra electrons, they become negatively-charged.

On way of charging objects is by rubbing them against other objects in order to gain extra electrons or to lose electrons.

When two objects are rubbed together, the object that ends up with less electrons has a positive charge, whereas the object that ends up with more electrons has a negative charge.

In conclusion, objects can become charged when they are rubbed against each other, and they can either become negatively or positively-charged by gain or loss of electrons.

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The object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).

What does atomic charge mean?

The atomic charge makes reference to the overall charge of an atom, which can be evidenced by knowing its net charge (positive or negative charge).

The net charge of a molecule and/or atom is obtained by calculating the amount of electrically negative electrons (e-) and the number of positive protons.

Neutrons are another type of subatomic particle that have not net charge (neither positive nor negative).

In conclusion, the object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).

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The key insight that Bohr introduced to his model of the atom was that the angular momentum of the electron orbiting the nucleus was quantized. He introduced the postulate that the angular momentum could only come in quantities of nh/(2π), where h is Planck's constant and n is a nonnegative integer (0,1,2,3,…). Given this postulate, what are the allowable values for the velocity v of the electron in the Bohr atom? Recall that, in circular motion, angular momentum is given by the formula L= mvr.

Answers

Answer:

  v = \(n \frac{\hbar }{m r}\)

the sppedof the electron is also quantized

Explanation:

The angular momentum of a rotating body is

         L = m v r

in Bohr's atomic model the quantization postulate is that the angular momentum is equal to

         L = n \(\hbar\)

we substitute

        n \(\hbar\) = m v r

        v = \(n \frac{\hbar }{m r}\)

where n is an integer.

Therefore, the sppedof the electron is also quantized, that is, sol has some discrete values.

Which form of energy has the most potential globally

a) Solar energy

b) Bio energy

c) Wind energy

d) Geothermal energy

Answers

Answer:

i think the answer is solar,

Explanation:

because it is a natural resource im sorry if im wrong

Use the information from the article to answer the question.

Asteroids and Comets
I NEED HELP NOW!!!!
Which statements apply to comets? Check all that apply.

formed of ice, rock, and dust
contain a liquid core
develop tails near the Sun
orbit gas giants like Jupiter and Neptune

Answers

Answer:

.<formed of ice, rock, and dust> .

.<develop tails near the Sun>.

Explanation:

hope this helps :)

Which processes result in the release of carbon? Select three options.

Animals break down food molecules to obtain energy.
The remains of producers are broken down by decomposers.
The remains of consumers are broken down by soil decomposers.
Producers take in carbon dioxide.
Producers make sugars and starches.

Answers

Answer:

The remains of producers are broken down by decomposers.

The remains of consumers are broken down by soil decomposers.

Animals break down food molecules to obtain energy.

Explanation:

Answer:

It is A. B. and C.

Explanation:

Hope this helps

energy you can hear is what kind of energy?

Answers

Answer:

Sound Energy

Explanation:

Good luck :)

find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y

Answers

a. The muzzle velocity of the ball is 6.86 m/s.

b. The maximum height of the ball is 2.40 m.

The complete question is in the attachment. Look at the picture. The ball will move in two parts

From P to Q
Q is the spring's equilibrium position.
The spring force will act on the ball.From Q to R

According to Hooke's law F = k Δx

k = spring constant
k = 677 N/mΔx = amount of extension (m)
Δx = 23.0 cm = 0.23 mF = spring force (N)

F = k Δx

F = 667 ×0.23

F = 153.41 N

According to Newton's second law F = ma

m = mass (kg)
m = 1.50 kga = acceleration (m/s²)

a = F ÷ m = 153.41 ÷ 1.50

a = 102.27 m/s²

According to non-uniform motion

v₂ = v₁ + at

v₂² = v₁² + 2ad

d = v₁ × t + 0.5 at²

t = time (s)d = distance (m)v₁ = initial velocity (m/s)v₂ = final velocity (m/s)a = acceleration (m/s²)

From P to Q

v₁ = 0 (the ball at its rest)a = 102.27 m/s²d = Δx = 23.0 cm = 0.23 mv₂² = v₁² + 2ad
v₂² = 0² + (2 × 102.27 × 0.23)
v₂² = 47.044
\(v_2 \:=\: \sqrt{47.044}\)
v₂ = 6.86 m/s

From Q to R

v₁ = 6.86 m/sa = - g = - 9.8 m/s²
The motion of the ball against the gravity
g = acceleration due to gravity = 9.8 m/s²At the highest point (R) the final velocity equals zero
v₂ = 0d = hv₂² = v₁² + 2ad
0² = 6.86² + (2 × - 9.8 × h)
0 = 47.044 - 19.6h
19.6h = 47.044
h = 47.044 ÷ 19.6
h = 2.40 m

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find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position

An electron (restricted to one dimension) is trapped between two rigid walls 1.40 nm apart. The electron's energy is approximately 19 eV. (a) What is the quantum number n for the energy state that the electron occupies? (b) Based on the quantum number you found in part (a), calculate a more precise value for the electron's energy in eV), expressed to at least three significant figures. (Use any physical constants or unit conversions to at least four significant figures in your calculations.) _________ eV

Answers

Answer:

a)    n = 9.9       b)      E₁₀ = 19.25 eV

Explanation:

Solving the Scrodinger equation for the electronegative box we get

         Eₙ = (h² / 8m L²2) n²

where l is the distance L = 1.40 nm = 1.40 10⁻⁹ m and n the quantum number

 In this case En = 19 eV let us reduce to the SI system

          En = 19 eV (1.6 10⁻¹⁹ J / 1 eV) = 30.4 10⁻¹⁹ J

          n = √ (In 8 m L² / h²)

let's calculate

          n = √ (8  9.1 10⁻³¹ (1.4 10⁻⁹)²  30.4 10⁻¹⁹ / (6.63 10⁻³⁴)²

          n = √ (98)            n = 9.9

since n must be an integer, we approximate them to 10

b) We substitute for the calculation of energy

        In = (h² / 8mL2² n²

        In = (6.63 10⁻³⁴) 2 / (8 9.1 10⁻³¹  (1.4 10⁻⁹)² 10²

        E₁₀ = 3.08 10⁻¹⁸ J

we reduce eV

      E₁₀ = 3.08 10⁻¹⁸ j (1ev / 1.6 10⁻¹⁹J)

      E₁₀ = 1.925 101 eV

      E₁₀ = 19.25 eV

the result with significant figures is

        E₁₀ = 19.25 eV

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