at what angle does an electric field pass through a line of equal potential

Answers

Answer 1

An electric field passes through a line of equal potential at a right angle, or perpendicular to the line.

An electric field always passes through a line of equal potential at a 90-degree angle (perpendicular). This is because electric field lines represent the force experienced by a test charge in the field, and lines of equal potential (equipotential lines) represent regions where the electric potential is constant. Since no work is done in moving a charge along an equipotential line, the electric field must be perpendicular to it to ensure zero work is done.

The electric field is directed from higher potential to lower potential, and the gradient of the potential is perpendicular to the line of equal potential. Therefore, the electric field must be perpendicular to this gradient and thus perpendicular to the line of equal potential.

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Related Questions

What might happen if transformers didn't exist?

What might happen if transformers didn't exist?

Answers

Answer:aaaa

Explanation:aaaa

B because If there is no transformer how is the electric going to work properly and it would be missing something, so say you turn on a light it might be much dimmer than if it did have transformers

A 9.00 kg mass is moving to the right with a velocity of 14.0 m/s. A 12.0 kg mass is moving to the left with a velocity of 5.00 m/s. Assuming that these two balls have a head on collision and stick together, what will be the final velocity of the combination? (3.1 m/s)

Answers

Answer:

5.95 m/s to the right

Explanation:

Before the collision, the momentum of the system is given by:

p = m1v1 + m2v2

p = (9.00 kg)(14.0 m/s) + (12.0 kg)(-5.00 m/s)

p = 125.0 kg m/s (to the right)

During the collision, the two masses stick together, so their final velocity will be the same. Let's call this final velocity vf. The momentum of the system after the collision is given by:

p' = (m1 + m2)vf

p' = (9.00 kg + 12.0 kg)vf

p' = 21.0 kg vf

Since momentum is conserved in the collision (there are no external forces acting on the system), we can set p = p' and solve for vf:

125.0 kg m/s = 21.0 kg vf

vf = 5.95 m/s (to the right)

Therefore, the final velocity of the combined masses after the collision is 5.95 m/s to the right.

. (a) what parameters affect the inductance of a coil? (b) does the inductance of a coil depend on the current in the coil?

Answers

(a) Parameters that affect the inductance of a coil include the number of turns in the coil, the cross-sectional area of the coil, the length of the coil, the magnetic permeability of the core, and the shape of the coil. (b) Yes, the inductance of a coil depends on the current in the coil.

(a) Several parameters affect the inductance of a coil. They are:

Number of turns of the coil

Cross-sectional area of the coil

Length of the coil

Permeability of the core (if the coil has a core)

Presence of other materials close to the coil

(b) Yes, the inductance of a coil is dependent on the current in the coil.

Inductance is the property of a coil to store energy in a magnetic field when a current is passed through it.

The inductance of a coil is directly proportional to the number of turns of the coil, the cross-sectional area of the coil, and the permeability of the core (if the coil has a core).

The inductance of a coil is inversely proportional to the length of the coil.

Thus, by increasing the number of turns, the cross-sectional area of the coil, and the permeability of the core, the inductance of the coil can be increased.

By increasing the length of the coil, the inductance of the coil can be reduced.

The inductance of a coil is also dependent on the current in the coil.

When the current in a coil changes, it creates a magnetic field around the coil, which induces a voltage in the coil.

This voltage opposes the change in current, which is known as self-inductance.

The higher the current in the coil, the higher the magnetic field and the higher the inductance of the coil.

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Once a person passes the age of 65, he or she should stop exercising.
Please select the best answer from the choices provided.
ОТ
OF

Answers

Answer: False

People age 65 and older still need exercise. Although the intensity of each workout won't be as high compared to younger ages. Everyone needs exercise to keep their heart healthy, to lower the bad cholesterol, etc.

Answer:

no

Explanation:

very false

A spring has a relaxed length of 28 cm (0.28 m) and its spring stiffness is 11 N/m. You glue a 78 gram block (0.078 kg) to the top of the spring, and push the block down, compressing the spring so its total length is 13 cm. You make sure the block is at rest, then at time you quickly move your hand away. The block begins to move upward, because the upward force on the block by the spring is greater than the downward force on the block by the Earth. Calculate vs. time for the block during a 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration.

Answers

The velocity of the block vs. time during a 0.06-second interval after you release the block, by applying the Momentum Principle in three steps each of 0.02-second duration.

The sum of the initial potential energy and initial kinetic energy is equal to the sum of the final potential energy and final kinetic energy.0 + 0.0611 J = 0.0258 J + 1/2(0.078 kg)v0²v0 = -0.4804 m/sStep 2 0.04 s)The momentum of the block at time t = 0.02 s is given by:p = mv = (0.078 kg)(-0.4804 m/s) = -0.0375 kg⋅m/s.

The displacement x can be found from the initial velocity v0 and the acceleration a using the kinematic equation:v = v0 + atwhere v is the velocity at time t and t is the time interval. Therefore,x = x0 + v0t + 1/2at²where x0 is the initial displacement.

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For taking bath, water at 40⁰C is required. Calculate the mass of cold water at 15⁰C which is to be added in 60 Kg water at 100⁰C for bathing purpose. 1 point a) 51Kg b) 47Kg c) 44 Kg d) 39Kg​

Answers

taking a bath, water at 40°C is required . calculate the mass of cold Water at 15°C which is to be added to 60 kg water at 100°C for bathing purpose​

If an electric motor uses 50 kJ of energy to do 46 kJ of work, how efficient is it?

Answers

Answer:

The efficiency of an electric motor can be calculated using the formula:

Efficiency = (Work output ÷ Energy input) x 100%

In this case, the motor uses 50 kJ of energy to do 46 kJ of work. Plugging in the values:

Efficiency = (46 kJ ÷ 50 kJ) x 100%

Efficiency = 0.92 x 100%

Efficiency = 92%

Therefore, the efficiency of the electric motor is 92%.

Explanation:

Answer: 92%

Explanation:

The efficiency of the electric motor is 92%. This is calculated by dividing the amount of work done by the amount of energy used, in this case 46/50. This gives 0.92, or 92%.

Highlight two factors which show that heat from the sun does reach the earth surface by conversation

Answers

Answer:

Radiation

Explanation:

The sun heat the earth by the process called radiation.

Radiation is form of heat transfer method just like convection and conduction. Radiation heat transfer does not require medium to propagate, unlike its other two counterparts. There is no medium between earth and sun.

The radiation heat travels through space in form of waves. Like the electromagnetic wave with a specific speed and energy.


Could someone please help

Could someone please help

Answers

Answer: Dispersion

Explanation:

An ocean wave travels at 2.2m/s if the wavelength is 11 meters what’s the frequency of the wave in Hz

Answers

Answer:

0.2 Hz

Explanation:

f = v / λ.

Where f = frequency,

v = velocity/speed,

λ = wavelength.

f = v / λ →

f = 2.2m/s / 11 m

f = 2.2 / 11 [1 / s]

f = 1 / 5 [Hz]

f = 0.2 Hz

Why are light-years more convenient than miles, kilometers, or astronomical units (au) for measuring the distances to stars and galaxies? (select all that apply.)

Answers

Answer:

sEE BELOW

Explanation:

Well.....because the numbers are 'astronomical'....meaning VERY, VERY , VERY LARGE


on the graph below, what is the total distance traveled during the recorded time interval? what is the displacement?

on the graph below, what is the total distance traveled during the recorded time interval? what is the

Answers

5m is the total distance

The total distance traveled during the recorded time interval would be 5 meters and the displacement of the object would be 5 meters.

What is displacement?

Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.

As given in the problem we have to find out the total distance and the displacement of the object from the graph shown in the problem,

The displacement of the object = Final position - Initial position

                                                     =6 - 1

                                                     = 5 meters

Thus, The total distance traveled during the recorded time interval would be 5 meters and the displacement of the object would be 5 meters.

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The current through inductance L is given by I=I0e−t/τ.
A.) Find an expression for the potential difference ΔVL across the inductor. Express your answer in terms of given quantities.
B.) Evaluate ΔVL at t=0s, if L=14mH, I0=51mA, and τ=1.0ms.

Answers

The expression for the potential difference across an inductor can be found using the formula for the voltage across an inductor, which is given by the equation:

\(\[V_L = -L \frac{dI}{dt}\]\)

Since we are given the current as a function of time, \(\(I = I_0 e^{-t/\tau}\)\) , we can differentiate it with respect to time to find \(\(\frac{dI}{dt}\)\). Taking the derivative, we get:

\(\[\frac{dI}{dt} = -\frac{I_0}{\tau} e^{-t/\tau}\]\)

Substituting this expression for \(\(\frac{dI}{dt}\)\) into the equation for \(\(V_L\)\), we have:

\(\[V_L = -L \left(-\frac{I_0}{\tau} e^{-t/\tau}\right)\]\)

Simplifying the equation, we obtain:

\(\[V_L = \left(-\frac{I_0L}{\tau} e^{-t/\tau}\right)\]\)

B.)To evaluate \(\(\Delta V_L\)\) at t=0s, we substitute t=0 into the expression we derived in part A. Given that \(\(L = 14 \, \text{mH}\)\), \(I_0 = 51 mA\)  and \(\(\tau = 1.0 \, \text{ms}\)\), we have:

\(\[\Delta V_L = \frac{(51 \times 10^{-3})(14 \times 10^{-3})}{1.0 \times 10^{-3}} e^{-(0)/(1.0 \times 10^{-3})}\]\)

Simplifying the expression, we find:

\(\[\Delta V_L = (0.714) \, \text{V}\]\)

Therefore, at t=0s, the potential difference across the inductor is 0.714V.

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Question: Why do you think the door opens, even if it is pushing back at equal force?

Answers

You might think that because action-reaction forces are equal and opposite that they cancel. However, action and reaction force pairs don't cancel because they act on different objects. Forces can cancel only if they act on the same object

Assuming 700 W/m2 solar irradiance and a 40 % efficient solar panel, how much roof area should be covered to supply 9 A at 120 V? A- (within three decimal places)

Answers

The roof area that should be covered to supply 9 A at 120 V is approximately 2.844 m².

Determine the required roof area?

To calculate the required roof area, we can start by determining the power (P) needed to supply 9 A at 120 V.

Using the formula P = IV, where I is the current and V is the voltage, we find that P = 9 A × 120 V = 1080 W.

Next, we can calculate the solar panel's power output considering its efficiency. If the solar irradiance is 700 W/m² and the panel is 40% efficient, the power output per square meter of the panel will be 0.4 × 700 W/m² = 280 W/m².

To determine the required roof area, we can divide the required power (1080 W) by the power output per square meter (280 W/m²): 1080 W / 280 W/m² ≈ 3.857 m².

However, this value represents the total area required. Since solar panels are typically rectangular, we need to consider the shape and dimensions of the panels. Assuming a square panel, the roof area that should be covered is approximately the square root of the total area: √3.857 m² ≈ 1.964 m.

Rounding to three decimal places, the roof area that should be covered is approximately 2.844 m².

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HELPPP!!! During a soccer game, a player kicks the winning goal. When is work being done by the player?

A) when the ball flies through the air

B) when the player moves toward the ball

C) when the player’s foot is in contact with the ball

D) when the player’s foot continues to move after touching the ball

Answers

Answer:

when the player’s foot is in contact with the ball

Explanation:

Which object has the most thermal energy?

A. A 10 kg rock at 10°C
B. A 6 kg rock at 15°C
C. A 10 kg rock at 15°C
D. A 6 kg rock at 10°C

Answers

C. A 10 kg rock at 15 degrees Celsius

Answer:

10 kg rock at 15 degrees

Explanation:

did test

A man pushes against a tree with a force of 10 newtons (N). The tree does not move. What is the amount of force exerted
by the tree on the man?
ON
BSN
10 N
20 N

Answers

Answer:

10 N

Explanation:

Given that,

A man pushes against a tree with a force of 10 newtons.

We need to find the amount of force exerted by the tree on the man.

The force exerted by the tree on the man will be equal to the force that the man exert on the tree as per Newton's third law of motion.

It means the tree exert 10 N force on the man. Hence, the correct option is (c) i.e. 10 N.

Net arc energy input Hnet=fxHnet

Answers

The equation you are referring to, Hnet=fxHnet, relates to the net arc energy input of a welding process.

The net arc energy input, Hnet, is equal to the product of the welding current, f, and the welding voltage, Hnet. This equation is used to calculate the amount of energy that is transferred to the weld during the welding process.

It is important to monitor the net arc energy input to ensure that the weld is of high quality and to prevent defects such as porosity and cracking.

By adjusting the welding current and voltage, the net arc energy input can be optimized for the specific welding application.

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Invent a previously untried set of changes to make something interesting happen. Describe what you did, and what the effects were.

Answers

Answer:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

a crane lifts a piano that weighs 3,240 n in the air 10m in 60 seconds. how much power does the crane have?

Answers

The crane has a power of 540 watts when it lifts the 3,240 N piano 10 meters in 60 seconds.

To calculate the power of the crane, we need to use the formula:

Power = Work / Time

The work done by the crane is equal to the force it applies multiplied by the distance it lifts the piano, which is:

Work = Force x Distance
Work = 3,240 N x 10 m
Work = 32,400 Joules

The time it takes for the crane to lift the piano is given as 60 seconds.

Now we can substitute these values into the formula for power:

Power = Work / Time
Power = 32,400 J / 60 s
Power = 540 watts

The 3,240 N piano is lifted 10 metres in 60 seconds by the crane, which has a power of 540 watts.

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State all the facts and information within the picture.

State all the facts and information within the picture.

Answers

Pyrite Stone:

Pyrite, also known as fool's gold, is a mineral composed of iron and sulfur. It has a metallic luster and a brassy yellow color. Found in sedimentary rocks and hydrothermal veins, pyrite has a hardness of 6 to 6.5 on the Mohs scale. It has industrial uses in sulfuric acid production, fertilizers, and batteries. Pyrite can oxidize and cause environmental concerns. It is also used in jewelry and decorative items.

Cement Bricks:

Cement bricks, made from a mixture of cement, sand, and water, are widely used in construction for their strength, durability, and weather resistance. They offer advantages over traditional clay bricks and come in various sizes, shapes, and colors. Cement bricks are cost-effective, provide thermal insulation, and require proper construction practices for quality and longevity. Efforts have been made to develop sustainable alternatives to reduce energy consumption and carbon emissions.

Pyrite Stone:

Pyrite, also known as iron pyrite or fool's gold, is a mineral with the chemical formula FeS2. It is composed of iron and sulfur.It has a metallic luster and a brassy yellow color, often resembling gold. However, it is important to note that pyrite is not gold and does not have any intrinsic value.Pyrite is commonly found in sedimentary rocks, such as shale or limestone, as well as in hydrothermal veins and metamorphic deposits.It has a hardness of 6 to 6.5 on the Mohs scale, which means it is relatively soft compared to many other minerals.Pyrite is often used in various industrial applications. It is a source of sulfur in the production of sulfuric acid, and it is also used in the manufacturing of fertilizers, sulfur dioxide scrubbers, and certain types of batteries.In its natural form, pyrite can sometimes oxidize and form sulfuric acid, leading to acid mine drainage, which can be environmentally damaging.Pyrite has also gained popularity as a decorative stone in jewelry and ornamental pieces due to its unique appearance.

Cement Bricks:

Cement bricks, also known as concrete bricks, are building materials made from a mixture of cement, sand, and water.The main component of cement bricks is cement, which acts as a binder, holding the other materials together.Cement bricks are manufactured through a process of mixing the cement, sand, and water, followed by molding and curing.They are commonly used in construction for building walls, pavements, and other structures.Cement bricks have several advantages over traditional clay bricks. They offer better strength, durability, and weather resistance.Cement bricks are available in various sizes, shapes, and colors to suit different construction needs and aesthetic preferences.They are relatively cost-effective compared to other building materials and provide good thermal insulation properties.The production of cement bricks requires energy and contributes to carbon emissions, so efforts have been made to develop more sustainable alternatives, such as fly ash bricks or eco-friendly cement.Proper construction practices, including correct mixing ratios and adequate curing, are essential for ensuring the quality and longevity of cement brick structures.  

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what is a transformer? what are the primary and secondary coils and how does it make use of induction?

Answers

A transformer is a device that transfers electrical energy between two or more coils of wire through electromagnetic induction. The primary coil receives electrical energy, while the secondary coil delivers the transformed energy.

In a transformer, the primary coil is connected to the input voltage source, and the secondary coil is connected to the load. When an alternating current flows through the primary coil, it creates a changing magnetic field. This changing magnetic field induces an alternating current in the secondary coil, transferring energy to the load.

The principle behind a transformer is electromagnetic induction, which states that a changing magnetic field induces an electromotive force (EMF) in a nearby conductor. The ratio of the number of turns in the primary and secondary coils determines the voltage transformation. Transformers are widely used in electrical power distribution systems to increase or decrease voltage levels for efficient transmission and distribution of electricity.

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If several balls are thrown straight up with different initial speeds, the quantity that will have the same value along their paths is their.

Answers

The quantity that will have the same value along their paths is their acceleration option (D).

What is acceleration?

The rate at which the speed and direction of a moving object alter over time is known as acceleration. When anything begins to move faster or slower, it is said to be accelerating.

If we ignore air resistance, there will only be one force acting on the balls because they are all hurled straight up into the air: the force of gravity.

Where m is the ball's mass, the force of gravity acting on each ball is given by

The acceleration caused by gravity is known as g (9.8 m/s², downhill).

According to Newton's second law,

F=ma,

where F is the net force exerted on the ball:

And after simplifying, we discover that the acceleration of each ball is: and since g is a constant value, we draw the conclusion that each ball's acceleration is the same regardless of mass or initial speed.

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Complete question is "If several balls are thrown straight up with different initial speeds, the quantity that will have the same value along their paths is their(A) initial momentum.(B) maximum height.(C) time of travel.(D) acceleration".

Materials A, B, and C are solids that are at their melting temperatures. Material A requires 200 J to melt 4 kg, material B requires 300 J to melt 5 kg, and material C requires 300 J to melt 6 kg. Rank the materials according to their heats of fusion. If multiple materials rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all materials rank equally, rank each as 'Greatest'.

Answers

Answer:

B: Greatest, A: Second greatest, C: Second geratest.

Explanation:

We can calculate the heat of fusion of a material (ΔHfus), which is the heat required to melt 1 kg of material, using the following expression.

ΔHfus = Q/m

where,

Q: heat providedm: mass

Material A

ΔHfus = 200 J/4 kg = 50 J/kg

Material B

ΔHfus = 300 J/5 kg = 60 J/kg

Material C

ΔHfus = 300 J/6 kg = 50 J/kg

Then, considering the heats of fusion,

B: Greatest, A: Second greatest, C: Second greatest.

State the Universal Law Of Gravitation

Answers

Answer: Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Explanation:

Hope this helps!

Answer:

every particle attracts every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

A light bulb consumes 150 J of electrical energy per second but only emits 15 J of light energy per second. Calculate the efficiency of the bulb.​

Answers

Answer:

10% efficiency

Explanation:

Formula for efficiency :

⇒ Efficiency (η) = Output energy (E₂) / Input energy (E₁)

===============================================================

Given :

⇒ Input Energy (E₁) = 150 J

⇒ Output Energy (E₂) = 15 J

=============================================================

Solving :

⇒ η = 15/150

⇒ η = 1/10

⇒ η = 10% efficiency

Given: NM 1 XZ
Prove: AXYZ- ANYM
N
Try 11
X
Z
M
We know that side NM is
to side
XZ. If we consider side NY the transversal for these
parallel lines, we create angle pairs. Using the
we can state
that YXZ is congruent to YNM. We know that angle
XYZ is congruent to angle
by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
F

Given: NM 1 XZProve: AXYZ- ANYMNTry 11XZMWe know that side NM isto sideXZ. If we consider side NY the

Answers

The prove of  Angle XYZ- Angle NYM is given below:

∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.

What is the triangle about?

Note that from the image given;

NM // XZNY = transversal line∠YXZ ≡ ∠YNM

Since ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.

The reflexive property is one that informs that any shape is regarded congruent to itself.

Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.

Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.

Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.

We have 2 angles Δ XYZ and Δ NYM:

Note that ∠YXZ ≡ ∠YNM

              ∠XYZ ≡ ∠NYM

So,  ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.

Therefore, The prove of  Angle XYZ- Angle NYM is given below:

∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.

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Answer:

1. parrael

2. corresponding angles theorem

3. NYM

4. AA

Explanation:

just took it

please help asap!!!!!!!!!!!

please help asap!!!!!!!!!!!

Answers

The answer would be 20000

The answer in standard form/scientific notation would be 2 x 10^4

(The exponent is 4 because that's how many digits after the 2 there is)

If it takes 35J to lift up an object to some height, then how much gravitational potential energy will that object have?

Answers

35j because if it takes so much to lift it’s that much pullin down
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Calculate the covariance of X and Y, given that X+ Y < 10. which was the final result of the civil war ?a: the confederacy lost and the union was restored. b: the issue of slavery in the territories continued to be highly debated after the war was over. c: both sides agreed to stop fighting and slavery would exist only in the south. d: the union had to pay the south large amounts of money to rejoin. the pKa of TMS2NH is? Kingdom ____________________ contains multicellular organisms that are fixed in one place and able to produce their own energy through photosynthesis. a license holder holds a real estate broker license but does not wish to run her own office. she may elect to contractually obligate and subordinate herself administratively to another broker to whom she is accountable. the contractually obligated broker is generally called a Buenos das --la voz de Maria Isabel era apenas un murmullo. Se habaparado frente al escritorio de la maestra porque no saba a dnde ir. Antonio, lahaba dejado frente a la puerta de la oficina y se haba ido a la escuela intermedia,que quedaba en la prxima cuadra. La secretaria le haba dado a Mara Isabel unpapelito rosado y le haba pedido a un nio que le indicara a Mara Isabel dondequedaba el saln 17. Y ahora que estaba all, ella no saba qu hacer.Los otros nios haban ido cada uno rpidamente a su escritorio. Algunossacaban libros o papeles. Otros, parecan esperar rdenes. Pero mientras tanto sesonrean unos a otros. E incluso conversaban en voz baja.Mara Isabel mir la pared detrs del escritorio de la maestra. Haba unenorme pavo hecho de papel de construccin de colores. En cada una de las plumasde la cola tena escrito un nombre. Mara Isabel empez a leer: Jonathan, Eric,Michelle, Salomon, Laurie, Freddie, Marta, Ricardo, Mara Snchez.La maestra no haba levantado la vista. Estaba revisando un cuadernogrande, en el que, se vea una lista de nombres. Mara Isabel empez a oir lasrisitas calladas detrs de ella. Slo cuando aument el ruido, la maestra levant lavista y la mir.Hola! le dijo en ingls a Mara Isabel. Sonrea, pero su sonrisa no logrhacer que Mara Isabel se sintiera cmoda. -As que t eres..-Mara Isabel Salazar Lpez -respondi la nia. En espaol hubiera aadidopara servirle", pero no saba cmo decir eso en ingls. As que no aadi nada y leentreg el papelito rosado.-Ah... Mara Lpez- dijo la maestra. -En esta clase ya tenemos dos Maras...As que mejor te llamaremos Mary. Sintate alli, al lado de Marta Prez. Luego tedar tus libros.Mara Isabel se sent calladamente donde le haba indicado. La nia que lamaestra haba llamado Marta Prez levant la vista del libro que tena abierto y lamir. Tena el pelo corto y un cerquillo sobre la frente. Mara Isabel baj los ojos.Ninguna de las dos dijo nada.Al poco rato la maestra le trajo un libro. Era grueso, con tapas verdes.Estaba nuevo y en su cubierta brillante se vea saltar un delfin. Mara Isabel sepregunt intrigada si sabra leerlo y de qu tratara. Habra alguna historia sobredelfines? Lo abri interesada porque le encantaba el mar y siempre haba soadocon ver un delfin de verdad. En la parte de adentro estaba escrito Mary Lpez.Mara Isabel se qued mirando las palabras. La letra de la maestra eraprecisa y bonita. Pareca imposible que alguien escribiera con una letra tanhermosa... casi pareca de imprenta.Mientras miraba las letras parejas y perfectas de aquel nombre extrao,Mary Lpez, a Mara Isabel le vinieron a la memoria sus cuadernos del aoanterior. Qu gusto le daba abrirlos y mirar la primera pgina! La letra de sumadre no era tan bonita como la de la maestra. Pero cuando se haba sentado a lamesa de la cocina para escribir en cada uno de los cuadernos Maria Isabel SalazarLpez, le haba dicho: - "Mara" por tu abuelita Mara, que no conociste, pero quete hubiera querido mucho."Isabel" por tu abuelita Chabela, que tanto te quiere."Salazar" por tu pap, y claro tu abuelito Antonio. Y "Lpez" por m, y claro,tambin por mi Papa, por tu abuelo Manuel. No te acuerdas de l, porque muricuando eras muy pequea -y haba suspirado, para luego aadir, sonriendo- pero tehubiera gustado mucho. Saba contar unos cuentos!Mara Isabel siempre se haba sentido orgullosa de que le hubieran puesto elnombre de sus dos abuelas. La abuela Mara no era sino so, un nombre. Porquenunca la haba conocido. Pero haba visto la foto que su pap cuidaba con muchocario. Cada vez que se haban mudado era lo ltimo que empaquetaban, bienenvuelta, para que no fuera a daarse el marco ni a romperse el cristal. Y luego,era lo primero que colocaban en la pared de cada nuevo apartamento.Y le gustaba llamarse como la abuelita Chabela, la abuelita risuea que vivaen Puerto Rico y que ola a ans, a manzanilla, a canela, que cocinaba dulces tanricos que todos venan a probarlos y a comprarlos. Y que guardaba en una lata degalletas vaca el producto de la venta de sus dulces: -Para que algn da puedasestudiar, hijita. Y no te pases la vida en una cocina.La abuelita Chabela que le haba regalado la tela amarilla del vestido que sehaba manchado esta maana con la sangre de su rodilla rasmillada.-Mary. Mary Lopez, Mary LOPEEEZ. La voz de la maestra habia idosubiendo de tono. Pero pareca que lo que habia sacado a Mara Isabel de susrecuerdos no era tanto esa voz que ahora casi pareca chillar, sino precisamente elsilencio que se haba hecho en el aula.-Te estoy hablando, Mary-. La maestra estaba de pie junto a ella. La mirabacon una mezcla de sorpresa e impaciencia. Mara Isabel se encogi en el asiento ymir al delfin que saltaba en la cubierta del libro. Cmo explicar que ella no sereconoca en ese nombre ajeno? What type of infection do you use antibiotics for? What type of infections do you use vaccines for? A person with normal vision can focus on objects as close as a few centimeters from the eye up to objects infinitely far away. There exist, however, certain conditions under which the range of vision is not so extended. For example, a nearsighted person cannot focus on objects farther than a certain point (the far point), while a farsighted person cannot focus on objects closer than a certain point (the near point). Note that even though the presence of a near point is common to everyone, a farsighted person has a near point that is much farther from the eye than the near point of a person with normal vision. Both nearsightedness and farsightedness can be corrected with the use of glasses or contact lenses. In this case, the eye converges the light coming from the image formed by the corrective lens rather than from the object itself.If a nearsighted person has a far point df that is 3.50 m from the eye, what is the focal length f1 of the contact lenses that the person would need to see an object at infinity clearly? What 3 tips would you give someone whi is about to invest their money for the first time? When is the magnitude of the acceleration of a mass on a spring at its maximum value?A. when the mass has a speed of zeroB. when the mass is moving upwardC. when the mass has no displacementD. when the mass is12x ernest meissoniers painting remembrance of civil war was removed by the french government from the 1850 salon exhibition because: