Two identical ions are each missing two electrons, each ion has a charge of 2e. What is the magnitude of the force between the ions when their separation is 2.1×10−10m? k=8.99×109N⋅m2/C2, e=1.60×10−19C

Answers

Answer 1

Answer:

|F| = 2.09 × 10⁻⁸ assuming that the two ions are point charges.

Explanation:

What's the charge on each ion?

The symbol [tex]e[/tex] here stands for fundamental charge. Each electron carries a negative fundamental charge of -e. Each proton carry a positive fundamental charge of +e.

Molecules and atoms are neutral. They contain an equal number of electrons and protons. Remove one electron from a molecule or atom, and that particle will end up with more protons (which are positive) than electrons. That particle will carry a positive charge of +e become an ion (a cation to be precise.) Remove another electron and the ion will carry a charge of +2e.

For each ion [tex]q = +2 \;e = 2\times 1.60\times 10^{-19}\;\text{C} = 3.2\times 10^{-19}\;\text{C}[/tex].

What's the size of the electrostatic force between the two ions?

Consider Coulomb's Law for the electrostatic force [tex]F[/tex] between two point charges:

[tex]\displaystyle F = -\frac{k\cdot q_1\cdot q_2}{r^{2}}[/tex],

where

[tex]k[/tex] is Coulomb's constant,[tex]q_1[/tex] and [tex]q_2[/tex] are the charge on the two point charges, and[tex]r[/tex] is the separation between the two charges.

Make sure that all values are in SI units. Assume that the two ions are small enough that they act like point charges:

[tex]\displaystyle \begin{aligned}F &= -\frac{k\cdot q_1 \cdot q_2}{r^{2}}\\&=-\frac{8.99\times 10^{9}\cdot(3.2\times 10^{-19}) \cdot (3.2\times 10^{-19})}{(2.1\times 10^{-10})^{2}}\\ &= -2.09\times 10^{-8}\;\text{N}\end{aligned}[/tex].

The value of [tex]F[/tex] is negative, meaning that the two charges will repel each other because they are both positive. The question is asking for the magnitude of this force. Thus drop the sign in front of [tex]F[/tex] to obtain [tex]2.09\times 10^{-8}\;\text{N}[/tex], which is the magnitude of [tex]F[/tex].

Answer 2

Using Coulomb's Law, the magnitude of the force between two identical ions, each missing two electrons and separated by 2.1×10⁻¹⁰ m, is approximately 2.09 × 10⁻⁹ N.

To find the magnitude of the force between two identical ions, we use Coulomb's Law:

F = k × (q1 × q2) / r²

Here, k is the electrostatic constant, 8.99 × 10⁹ N⋅m²/C², q₁ and q₂ are the charges of the ions, and r is the separation distance between them.

Given:

Each ion has a charge of 2e, where e is the elementary charge (1.60 × 10⁻¹⁹ C).Separation distance r = 2.1 × 10⁻¹⁰ m.

First, calculate the charge of each ion:

q₁ = q₂ = 2 × 1.60 × 10⁻¹⁹ C = 3.20 × 10⁻¹⁹ C

Next, substitute the values into Coulomb's Law:

F = (8.99 × 10⁹ N⋅m²/C²) × [(3.20 × 10⁻¹⁹ C) × (3.20 × 10⁻¹⁹ C)] / (2.1 × 10⁻¹⁰ m)²

Simplify the calculation:

F = (8.99 × 10⁹) × (10.24 × 10⁻³⁸) / (4.41 × 10⁻²⁰)

F ≈ 2.09 × 10⁻⁹ N

Therefore, the magnitude of the force between the ions is approximately 2.09 × 10⁻⁹ N.


Related Questions

One of the two places where air enters your body

Answers

The answer is Your mouth or nose

Answer ======= the mouth/nose.

Select the temperature scale that matches each boiling point for water. Water boils at 373 . Water boils at 100 . Water boils at 212


degrees Celsius
Degree Fahrenheit
Kelvins

Answers

Answer:

100 degree Celsius

373 Kelvin

212 Fahrenheit

Explanation:

The boiling point of water on celsius scale is 100 degree C.

Convert 100 degree C into kelvin

C = K - 273

100 degree C = 100 + 273 = 373 K

Convert 100 degree C into degree F

C = 5 / 9 ( F - 32)

F = 9 / 5 x 100 + 32 = 212

Water boils at 373  

✔ kelvins

.

Water boils at 100  

✔ degrees Celsius

.

Water boils at 212  

✔ degrees Fahrenheit

.

An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard that is at a distance of 2.7 meters. Calculate the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard.
A.
0.08 meters
B.
0.16 meters
C.
0.32 meters
D.
1.8 meters

Answers

Answer:

B. 0.16 m

Explanation:

The vertical distance by which the player will miss the target is equal to the vertical distance covered by the dart during its motion.

Since the dart is thrown horizontally, the initial vertical velocity is zero:

[tex]v_y = 0[/tex]

While the horizontal velocity is

[tex]v_x = 15 m/s[/tex]

The horizontal distance covered is

[tex]d_x = 2.7 m[/tex]

Since the dart moves by uniform motion along the horizontal direction, the time it takes for covering this distance is

[tex]t=\frac{d_x}{v_x}=\frac{2.7 m}{15 m/s}=0.18 s[/tex]

along the vertical direction, the motion is a uniformly accelerated motion with constant downward acceleration g=9.8 m/s^2, so the vertical distance covered is given by

[tex]d_y = \frac{1}{2}gt^2=\frac{1}{2}(9.8 m/s^)(0.18 s)^2=0.16 m[/tex]

Answer:

0.16 m

Explanation:

A 2.0-ohm resistor is connected in a series with a 20.0 -V battery and a three-branch parallel network with branches whose resistance are 8.0 ohms each. Ignoring the battery’s internal resistance, what is the current in the batter? Show your work.

Answers

Answer:

Explanation:

Resolving the parallel resistor branches

[tex]\frac{1}{Rtotal} =\frac{1}{8.0ohm} +\frac{1}{8.0ohm} +\frac{1}{8.0ohm} =2.67Ohm[/tex]

The equivalent resistor is now in series with the 2.0 Ohm resistor

so, by using Ohm's Law

[tex]I=\frac{V}{Rtotal+R} \\I=\frac{20.0V}{2.67Ohm+2.0Ohm} \\\\I= 4.28A[/tex]

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If the following batteries; AAA, AA, C Cell, and D Cell were all 1.5 volts, would the light bulb shine the same in a simple circuit? Explain your answer.

Answers

Answer:

Step By Step Explanation:

Which excited electron has the lowest energy?

Answers

Answer:

The lowest energy of electron is the ground state.

Explanation:

The excited electrons has the lowest energy when it is in the ground state.

What are electrons?

The electrons are the spinning objects around the nucleus of the atom of the element in an orbit.

Energy of any exited state is given by E = nh/2π where n =0,1,2,3....

As, the number of excited state increases the energy associated with the  electron increases.

So, for n=0, the energy is the lowest and is said to be in the ground state.

Thus, the correct option is B.

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how did advances in technology influence the development of the microscope/ check all that apply

Answers

Answer:

New technology allowed microscopes to make it easier to view things that had never been seen before, such as cells.

Explanation:

Answer:

BCDE

Explanation:

Convert to find the equivalent rate.

Answers

The answer is 20,260,000

why it is dangerous for a bus to carry standing passengers​

Answers

because if the bus goes to stop or go that person would be injured badly that is y the bus driver tells u to sit down

Most of the weight of standees is from their feet, which are on the floor, so they should be raising the center of gravity much.

I think just the added weight of standees makes the bus suspension less able to control sway and lean. Going into a curve or skid with more passengers means a better chance of rolling.

I've taken some curves with what we called a "full swinging load" that made my hair stand on end the bus leaned over so far.

Really busses can lean pretty far without going over. Another fun thing is if the air suspension bellows blow out on one side or a front tire blows out. Definitely gets your attention and not just because the passengers are screaming.

Going back to center of gravity, if the bus sways or leans on a curve and more of the passengers weight is transferred to the overhead bar that might make a difference, once the lean gets bad because of the weight in general.

On vacation at the beach, you bring a radio to the beach. The radio can pick up several different radio stations.Which is the best explanation for this?

A) Sound waves can travel from through the air from the station to your radio.

B) Radio stations broadcast from different locations using their own transmitters.

C) Sound of different pitches are used to transmit information from each radio station. These sound waves can travel over land.

D) Waves are used to transmit the radio signal through the air. These waves are encoded at different frequencies for different stations.

Answers

D) waves are used to transmit the rail signal though the air. these waves are encoded at different frequencies for different stations

Answer:

The correct answer is D.

Explanation:

The radio can pick up several different stations because the waves are used to transmit the radio signal through the air. These waves are coded at different frequencies, assigned to different radios. The waves do not mix, so we can tune several radio stations.    

Have a nice day!

You serve a volleyball with a mass of 2.1 kg. The ball leaves your hand with a speed of 30 m/s. The ball has—— energy. Calculate it

Answers

Answer:

945 j

Explanation:

You have just given the ball kinetic energy, which is given by the following equation:

KE= 1⁄2 m v2 = 1⁄2 (2.1 kg)(30 m/s)2 = 945 Joules

The magnetic field around a current carrying wire at a distance of 1cm is twice as strong as 2cm . How does the Ford strength at 0.5cm compare to the field strength at 1cm

Answers

Answer:

It is half the field strength at 0.5cm

Explanation:

Final answer:

The magnetic field at 0.5 cm from a current-carrying wire would be twice as strong as the field at 1 cm, based on the inverse proportional relationship between magnetic field strength and distance from the wire.

Explanation:

The magnetic field strength around a current-carrying wire follows an inverse relationship with distance, meaning as the distance from the wire increases, the magnetic field strength decreases.

Since the magnetic field at 1 cm is twice as strong as at 2 cm, we can conclude that the field follows an inverse proportional relationship with distance in this region (ignoring the complex equations at very close distances). Therefore, at half the distance from the wire (0.5 cm), the field strength would be twice as much compared to at 1 cm. This is because if doubling the distance (from 1 cm to 2 cm) halves the field, then halving the distance (from 1 cm to 0.5 cm) should double the field strength.

2. Periods are
that run from left to right
3. Elements in the same period have the same
Every element in the first period has
element in the second period has
pattern?
shell for its
for its
Every
See the
5. Groups are
that run from top to bottom.
6. The elements of a group have the same number of
shell.
in their
7. Every element in group one has
element in group two has
electron in its outer shell. Every
electrons in its outer shell.
8. Hydrogen is special because it can act like two groups,
and
9. Hydrogen sometimes is
electron.
an electron and sometimes it has an
electrons in its outer shell, it is grouped
10. Although helium has only
with elements that have
elements. They each
11. The green elements on this table are called
have two electrons in their outer shell.

Answers

Answer:

8bfdyg8oea

Explanation:

Final answer:

Periods on the periodic table are horizontal rows that reflect the number of electron shells of elements, which range from 1 to 7. As you move across a period, the number of electrons increases. In contrast, groups are vertical columns where elements share the same number of valence electrons, leading to similar chemical properties.

Explanation:

In the context of the periodic table, periods are horizontal rows that define the arrangement of elements. These periods range from left to right and are numbered 1 through 7, starting at the top of the table. Periods indicate the number of electron shells an element has, with each period beginning when a new principal energy level commences to fill with electrons. For instance, period 1 has only two elements: hydrogen and helium. Other periods have more elements, reflecting additional electrons filling the subsequent principal energy levels.

The elements within a period have the same number of electron shells, but as you move from left to right across the table, the number of electrons in the outer shell increases for the elements. This progression affects their chemical and physical properties. When it comes to groups, the vertical columns of the periodic table, elements in the same group have identical numbers of electrons in their valence shell, contributing to similar chemical behavior.

which of these is an indication that a chemical reaction has occurred?

1) melting of a substance

2) boiling of a substance

3) formation of a precipitate

4) freezing of a substance

Answers

3.

If the reaction forms a new substance it's a chemical reaction.

What process marks the birth of a star?

Answers

Answer:

Magic school bus on ya left! so basically a star is born when like....atoms are like squeezed with enough pressure and kinda squished together, once tht happens the atoms start to fuse together

Explanation:

A star is born when nuclear fusion reactions begin in its core, transforming a protostar into a stable, shining star. This occurs in giant clouds of gas and dust called nebulae.

The birth of a star marks the moment it becomes hot enough for nuclear fusion reactions to take place at its core. This process begins in giant, cold clouds of gas and dust called nebulae. As the cloud collapses under its own gravity, it forms a protostar.

When the core temperature of the protostar reaches about 10 to 12 million K, hydrogen atoms begin to fuse into helium, releasing vast amounts of energy and causing the star to shine. This fusion marks the birth of a new star, which then becomes stable and enters what is known as the main sequence phase of its life, where it spends most of its time.

In simpler terms, the birth of a star is the point at which it starts producing its own energy through fusion, much like a human child begins to sustain itself independently after birth.

Birth of a starNuclear fusionNebula

A jetliner flies east 2000 miles from San Francisco to Chicago. It has an average air speed of 600 mph relative to the air. What is the velocity of the jetliner relative to the earth if the wind is blowing at 150 mph from the west to the east?
450 mph, west
750 mph, east
750 mph, west
450 mph, east

Answers

Answer:

750 mph, east

Explanation:

The jetliner is going from San Francisco to Chicago... so it's moving from West to East, at 600 mph, relative to the air.

The wind is also moving from West to East, at 150 mph.

Since both are going in the same direction, we combine the speeds by adding them to each other.  If they were in opposite direction, we would subtract them.

So, 600 mph for the plane + 150 mph for the wind = 750 mph, going EAST.

Final answer:

The velocity of the jetliner relative to the earth, considering a wind blowing at 150 mph from the west to the east, is 750 mph, east.

Explanation:

In this scenario, the jetliner's velocity relative to the earth can be calculated by adding the velocity of the jetliner relative to the air (600 mph to the east) and the velocity of the wind (150 mph to the east). This means that the jetliner and the wind are moving in the same direction (east), you would add their speed together.

Performing the addition: 600 mph (jetliner's speed) + 150 mph (wind's speed) = 750 mph.

Since wind and jetliner are moving to the East, the correct answer to the question 'What is the velocity of the jetliner relative to the earth?' is 750 mph, east.

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Refer to the table. Complete the following equations to convert millimeters of mercury to kilopascals or atmospheres to kilopascals.

3.0000 atm =
kPa
7.000 mmHg =
kPa
10.00 kPa =
atm
15.00 kPa =
mmHg
table

Answers

Answer:

3.0000 atm = 303.98 kPq

7.000 mmHg = 0.9333 kPa

10.00 kPa = 0.09869 atm

15.00 kPa = 112.5 mmHg

Explanation:

Just did this on edge, all these answers are correct!

The forensic examiner tells the detective that he thinks the body was killed in the country before they found it in New York what type of evidence the need to get to tha conclusion

Answers

Dirt samples from clothing to anikise the types then match to the soil of hypothetical location

Why are plane mirrors and convex mirrors unable to form real images?

A. They cannot reflect light.

B. They cannot make light rays converge.

C. They both show only small views of images.

Answers

Answer:

B. They cannot make light rays converge.

Explanation:

Real images are defined as the image in which light rays will converge at a point after reflection through the mirror

if the light rays converge and meet at a point in front of mirror then the point of convergence is known as real image

while if the light rays will not converge and the light will diverge after reflection through the mirror then it will appear to meet at a point behind the mirror

this imaginary point is known virtual image

so here in case of plane mirror and convex mirror the light rays will not converge at a point after reflection through the mirror

so it can not form real images

so correct answer will be

B. They cannot make light rays converge.

How much work is done if you push a 200 N box across a floor with a force of 50 N for a distance of 20m

Answers

Answer: 1000 J

The Work [tex]W[/tex] done by a Force [tex]F[/tex] refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path.  

It should be noted that it is a scalar magnitude, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:  

[tex]1J=(1N)(1m)=Nm[/tex]  

Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:  

[tex]W=(F)(d)[/tex] (1)

When they are not parallel, both directions form an angle, let's call it [tex]\alpha[/tex]. In that case the expression to calculate the Work is:  

[tex]W=Fdcos{\alpha}[/tex] (2)

For example, in order to push the 200 N box across the floor, you have to apply a force along the distance [tex]d[/tex] to overcome the resistance of the weight of the box (its 200 N).  

In this case both (the force and the distance in the path) are parallel, so the work [tex]W[/tex] performed is the product of the force exerted to push the box [tex]F=50N[/tex] by the distance traveled [tex]d[/tex]. as shown in equation (1).

Hence:

[tex]W=(50N)(20m)[/tex]  

[tex]W=1000Nm=1000J[/tex] >>>>This is the work  

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What is "change" when we are talking about natural and physical systems?
A.
Information that has been proven to be true
B.
A process for using knowledge and skills to acquire new knowledge
C.
Repeated processes that are used in a variety of ways
D.
A variable or alteration to one part that affects an entire system

Answers

It would be c repeated processes-that are used in a variety of ways

Answer:

the correct answer would be D. A variable or alteration to one part that affects an entire system.

the other ones dont make sense

~batmans wife dun dun dun....

Joe is known for his fastball throughout the region. It's been said Joe can throw a baseball so fast that, if you blink your eyes, you won't see it travel to the catcher's glove. 

What would be the CORRECT metric (SI) units to use to record the average speed of Joe's fastball?

A)cm/s

B)km/h

C)m/s

D)mph

Answers

B would be most reasonable

The average speed of Joe's fastball correct SI unit is m/s.

Answer: C

Explanation

According to the problem given, the baseball thrown by Joe reaches the catcher's glove within the blink of audience's eyes.

Generally, human beings tend to blink their eyes every second to some minutes.

So as the ball reaches the catcher's glove within blink of eye that means the motion of the ball starting from thrown by Joe and ending at catcher's glove is completed within seconds. So the speed of the ball is in seconds.

As the catcher will be positioned at some meter distance so the distance traveled will be in meter in SI unit.

So the rate of change of distance per unit second is termed as velocity.

Thus the average speed will be recorded in m/s unit.

Calculate the current through R2.

Calculate the current through R1.

Calculate the potential drop across R2.

Calculate the total power developed in the circuit.

Calculate the total resistance.

Calculate the potential drop across R1.

Answers

Answer:

The total resistance is 15 Ω, the total current is 1A, The potential drop in R1 and R2 are 10V and 5V respectively and the total power develped is 15 W.

Explanation:

First it is necessary to simplify the circuit. We can do this by calculating the total or equivalent resistance Re. For series resistance arrangement, Re is computed as:

RT = R1 + R2 = 5 Ω + 10 Ω = 15 Ω

According to Ohm’s law the total current can be calculated dividing the total voltage V by Re:

I = V/Re = 15V/15Ω = 1A  

This current will be the same current through R1 and R2. Then we can compute the potential drop across R2 multiplying the current across R1 by the resistance:

VR1 = I*R2 = 1 A * 10 Ω = 10 V  

The potential drop across R2 is obtained in the same way as R1, considering R2 resistance:

VR2 = I*R1 = 1 A * 5Ω = 5 V

The total power could be calculated multiplying the total current I by the total voltage:

P = I*V = 1 A * 15 V = 15 W

Final answer:

Calculations related to the flow of current, potential drop, power and total resistance in a circuit can be determined through the application of Ohm's Law and Power formulas. Specific values are needed for exact calculations.

Explanation:

In order to calculate the current, potential drop, total power developed, and total resistance in a circuit, we first need to understand some basic physics concepts. The current passing through a resistor, like R1 or R2, can be calculated using Ohm's Law, which states: Current (I) = voltage (V) / resistance (R). Similarly, the potential drop across a resistor can also be determined using Ohm's law: Potential Drop = Current * Resistance. Lastly, total power developed in a circuit can be determined using the formula: Power (P) = Voltage * Current, and total resistance can be obtained using the appropriate formula based on whether the resistors are connected in series or in parallel. Without specific values provided for voltage, resistance, or current, exact calculations cannot be done here.

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The light reflected from the surface of a pool of water is observed through a polarizer. How can you tell if the reflected light is polarized?

Answers

To determine if the light reflected from the surface of a pool of water is polarized, you can use a polarizer and observe if any changes occur when the polarizer is rotated.

What is a polarizer?

A polarizer is a virtuously optical device that can convert an unpolarized light beam into a polarised light beam in some way.

Here,
To determine if the light reflected from the surface of a pool of water is polarized, you can use a polarizer and observe if any changes occur when the polarizer is rotated.

If the reflected light is polarized, then when a polarizer is held in front of the observer and rotated, the intensity of the light should change as the polarizer is rotated. If the reflected light is not polarized, then the intensity of the light should not change as the polarizer is rotated.It is important to note that not all reflections are polarized. When light reflects off a smooth, flat surface at a certain angle, the reflected light is often partially polarized, with the polarization direction parallel to the surface.

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Which represents a longitudinal wave?

the motion of a spring

the motion of a shaking rope

the motion of a tight rubber band

the motion of an ocean wave

Answers

Answer: the motion of a spring

In longitudinal waves, the vibration or oscillation is parallel to the propagation direction of the wave itself . These disturbances are due to the successive compressions of the medium, where the particles move back and forth in the same direction as the wave.

This means, the closer together the particles are, the greater the amplitude of the wave. This is because of the distance between particles of the medium that is being compresed by the perturbation.

In this sense, the best example is the motion of a spring, since the air particles that are around the spring coil will oscillate in the same direction in which the waves propagate.

Answer: The motion of spring

Explanation: because the motion of spring represents a longitudinal wave

What causes ocean water around the equator to be warmer then the ocean water farther south of the equator

A. Gyres in the northern hemisphere flow clockwise.
B. Upwellings spew warm water toward the equator.
C. The sun heats earth and it’s oceans unevenly.
D. Deep sea vents pump stream into oceans unevenly.

Answers

C. The sun heats earth and it’s oceans unevenly.

Hope this helps chu

Have a great day

☆ Dont forget to mark brainliest ☆

Answer:

The correct answer is option C. "The sun heats earth and it’s oceans unevenly".

Explanation:

Ocean water is warmer around the equator than the currents that come farther south of the equator. This phenomenon happens because the sun heats earth and its oceans unevenly since the amount of energy that reaches the Earth is a function of latitude. The equator has a 0 degree latitude, and is at this point at which the Earth receives more heat from the Sun

A lightbulb has a resistance of 195 Ω and carries a current of 0.62 A.

The power rating of the lightbulb, to the nearest whole number, is
______ W.

Answers

Answer:

75

Explanation:

Power is current times voltage:

P = IV

Voltage is current times resistance:

V = IR

Therefore:

P = I²R

Given I = 0.62 A and R = 195 Ω:

P = (0.62 A)² (195 Ω)

P ≈ 75 W

What is the resultant acceleration?

Answers

Answer

A option is the right option

Answer: The sum of all the acceleration vectors. Hope this helps. :)

Explanation:

A wave has a wavelength of 3.3m and a speed of 5.6m/s . What is the frequency of this wave?

Answers

Frequency = (speed) / (wavelength)

Frequency = (5.6 m/s) / (3.3 m)

Frequency = (5.6 / 3.3) per sec

Frequency = 1.7 Hz

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a book is 9.26 cm tall and placed 22.7 cm to the left of a plane mirror. What is the height of the image formed by the mirror?


4.63


18.5


2.45


9.26



a book is 9.26 cm tall and placed 22.7 cm to the left of a plane mirror. What is the magnitude of the image distance?


22.7


9.26


24.5


11.4



You move away from a plane mirror at a speed of 1.60 m/s. At what speed does your image move away from you?


1.60 m/s


3.20m/s


6.40m/s


0.40m/s

Answers

Answer:

9.26 cm, 22.7 cm, 3.20 m/s

Explanation:

In a plane mirror, the image and object have the same height.  So h = 9.26 cm.

In a plane mirror, the image distance is the same as the object distance.  So x = 22.7 cm.

Since the distance between an object and a plane mirror is the same as the distance between the mirror and the image, then the distance between you and the image is double the distance between you and the mirror.  If you move away from the mirror at 1.60 m/s, the image will move away from you at double that speed, or 3.20 m/s.

Other Questions
What was Shelleys purpose for writing Ozymandias? Find the volume of the pyramid below (25 points to correct answer)Find the area of sector GHJ given that =65. Use 3.14 for and round to the nearest tenth. Show your work and do not forget to include units in your final answer. Liang is ordering new chairs and cushions for his dining room table A new chair cost $88 and a new cushion cost $12 shipping costs $34 expression 88c + 12c + 34 gives the total cost for buying C sets of chairs and cushions simplify The expression by combining like terms what value of r makes this equation true? justify your solution.0.4r - 7 = -.3r +2.8 Which of the following are some of the guidelines for conversing clearly that James Morris gives in his book The Art of Conversation? Select all that apply.Be relevant.Be detailed.Be exact.Be emotional. Officer Mendelson responds to a robbery call at a local music store. On arrival, the store owner and five witnesses say a young man grabbed an arm full of classical recordsand just ran down the street. Mendelson runs out of the store and sees a young man disappear around the corner. He catches up with him and tackles him to the ground. Mendelson had seen classical records on the ground earlier, but did not see the young man holding or dropping these records. There were no other people on the street at the time, except an older woman with a cane. The police officer decides it is too much of a hassle to bring the young man down to the station for a formal lineup and decides to bring him back to the store to see if anyone can recognize him. Sure enough, the owner identifies him as the robber, as do the other five witnesses, one after another. Mendelsonarrests the man and he is promptly charged with robbery.Officer Mendelson could use this procedure because:a. taking the young man to the police station was inconvenient.b. he lacked probable cause and the crime had just been committed near the location of the arrest.c. five or more witnesses were available.d. lineup arrays can lead to misidentification of suspects. Which scenario will result in offspring that have the greatest genetic diversity? A. A bacterium divides every 20 minutes leading to exponential growth in its population. B. A piece of a sea sponge breaks off, attaches in a new location, and grows into a new organism. C. A single-celled amoeba splits into two separate cells, resulting in a new organism. D. A female salmon lays eggs that are fertilized by a male salmon and hatch into new fish. NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!If the following batteries; AAA, AA, C Cell, and D Cell were all 1.5 volts, would the light bulb shine the same in a simple circuit? Explain your answer. The significance of Marco Polo's trip to the Far East was that he returned with stories of: the Crusades a modern way of life petty jealousies among landlords the Mohammedan way of life how does an island of develpment promote economic development Dalia has 9 hamsters and 4 fish at her house. Choose the ratio of fish to the total number of pets. (Select all that apply.)A) 4 to 9B) 4 to 13C) 9 to 13D) 4:9E) 4:13F) 13:4 Blueberry bushes are planted in a field in the year 2009. The blueberry bushes start to grow and cover the field in such a way that the area covered by the bushes doubles every year. If they continue to grow in this way, the field will be entirely covered with blueberry bushes by the year 2016.When will the field be covered 25% of the way?A. The field will be covered 25% of the way in 2013.B. The field will be covered 25% of the way in 2015.C. The field will be covered 25% of the way in 2014.D. The field will be covered 25% of the way in 2012.Reset Next You observe two stars in the sky and measure their angular distance as 60 degrees. How many arc seconds is this angular distance? Case study: How Do Beacteria Become Resistant? - Answer key what is the diffrenc e between a 1 1/4 and 3/8 Scenario:Ed is the proud new owner of a flower shop. His most popular arrangement sells for $45. Ed has determined that the cost of materials for this flower arrangement is $5. Ed has also determined that it takes his employee about one hour to complete one arrangement, and this employee is paid $12 per hour. Additional costs include $5 per arrangement to cover such expenses as rent and electricity.Use the information presented in the scenario and the drop-down menus to answer these questions.Ed's revenue from selling his most popular arrangement is .Ed's total production costs for one flower arrangement are .Ed's profit on each arrangement is If (-3, y) lies on the graph of y = 3x, then y =1/27-1-27 Which statement accurately analyzes how federalism has changed over time in the United States? If a = 11 ft, b = 5 ft, and c = 7 ft, what is the surface area of the geometric shape formed by this net?A. 167 sq. ft.B. 145 sq. ft. C. 117.5 sq. ft. D. 147 sq. ft.