Find the magnitude of the electric field, in newtons per coulomb, at the location of q a in the figure, given that q b = q c = q d = 4.9 nC , q = - 0.25 nC , and the square is 12 cm on a side

Answers

Answer 1

At the location of q a in the figure, given that q b = q c = q d = 4.9 nC , q = - 0.25 nC , and the square is 12 cm on a side. The magnitude of the electric field at the location of qa is 2.16 x [tex]10^{7}[/tex] N/C.

The electric field at a point due to a point charge is given by the formula:

E = k . q / r^2

where,

k = Coulomb's constant (8.99 x 10^9 Nm^2/C^2),

q = the charge producing the field,

r = the distance from the charge.

Let's call the side length of the square L. The charges qb, qc, and qd are located at the corners of the square, and are equidistant from the point where we want to calculate the electric field, so we can calculate the field due to each of them separately and then add them up.

The distance between the charges and the point of interest is L/√2. The electric field due to each charge can be calculated as:

E = k * 4.9 x 10^-9 C / (L/√2)^2 = k * 4.9 x 10^-9 C / (12/√2)^2 = k * 4.9 x 10^-9 C / (12/1.4142)^2

Adding the contributions from the three charges, the total electric field due to qb, qc, and qd is:

E = 3 * k * 4.9 x 10^-9 C / (12/1.4142)^2

Next, we need to calculate the contribution from the charge q. The electric field due to q can be calculated in the same way, but since q is negative, the direction of the field will be opposite to that due to the other charges:

Eq = - k * -0.25 x 10^-9 C / (L/√2)^2 = k * 0.25 x 10^-9 C / (12/√2)^2

Finally, the total electric field at the point is the sum of the contributions from all the charges:

Etotal = E + Eq = 3 * k * 4.9 x 10^-9 C / (12/1.4142)^2 + k * 0.25 x 10^-9 C / (12/√2)^2

So, the magnitude of the electric field at the location of qa is:

Etotal = √(Ex^2 + Ey^2) = √((3 * k * 4.9 x 10^-9 C / (12/1.4142)^2)^2 + (k * 0.25 x 10^-9 C / (12/√2)^2)^2)Etotal = √((3 * 8.99 x 10^9 Nm^2/C^2 * 4.9 x 10^-9 C / (12/1.4142)^2)^2 + (8.99 x 10^9 Nm^2/C^2 * 0.25 x 10^-9 C / (12/√2)^2)^2) = √((3 * 8.99 x 10^9 Nm^2/C^2 * 4.9 x 10^-9 C / (12/1.4142)^2)^2 + (8.99 x 10^9 Nm^2/C^2 * 0.25 x 10^-9 C / (12/√2)^2)^2) = 2.16 x 10^7 N/C

So the magnitude of the electric field at the location of qa is 2.16 x [tex]10^{7}[/tex] N/C.

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Related Questions

What are the three classifications of galaxies?
circular, disk, and oval
spiral, elliptical, and irregular
spinning, flat, and odd shaped
elliptical, flattened, and disk like

Answers

Answer:

Spiral, Elliptical, and Irregular

Explanation:

1.Spiral galaxies feature spiralling arms that stretch from their centres, giving them a pinwheel look. The majority of the mass in these galaxies is located in a bulge, which is a denser, spherically shaped region. The remaining mass is distributed throughout the arms, which are spirals of stars and dust that spiral relatively in the same direction. 
2.Elliptical galaxies have an elliptical shape, lack arm-like features, and seem to contain little interstellar materials, such as black dust clouds. These galaxies also seem to have low rates of star formation and, as a result, low levels of heavy elements produced by stars. Elliptical galaxies could form as a result of two or more galaxies joining together.

3.The form of irregular galaxies is completely lacking. They lack spiral arms and a galactic nuclear bulge.


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if you were to drop a rock from a tall building, assuming that it had not yet hit the ground, and neglecting air resistance, after it has fallen 24 m:

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After falling 24 meters, the rock would have a velocity of approximately 21.68m/s

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the derivative of an object's position with respect to time. Mathematically, velocity is expressed as:

v = Δx / Δt

If you were to drop a rock from a tall building and neglect air resistance, the rock would continue to fall freely under the influence of gravity. After it has fallen 24 meters, its velocity would be given by the equation:

where v is the velocity of the rock, g is the acceleration due to gravity (approximately 9.8 m/s^2 on the surface of the Earth), and h is the height that the rock has fallen.

Plugging in the given values, we get:

[tex]$$Time, $t=\sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}}$$$\begin{aligned}& t=\sqrt{\frac{2 \times 24}{9.8}} \\& t=1.81 \mathrm{~s}\end{aligned}$$Speed, v $=\sqrt{2 \mathrm{gh}}$$\mathrm{v}=\sqrt{2 \times 9.8 \times 24}$$\mathrm{v}=21.68 \mathrm{~m} / \mathrm{s}$[/tex]

So, after falling 24 meters, the rock would have a velocity of approximately 21.68m/s

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Complete question :

If you were to drop a rock from a tall building, assuming that it had not yet hit the ground, and neglecting air resistance, after it has fallen 24 m:

How much time has passed (in s)?

In the schematically drawn circuit shown below, a light bulb is connected in series with a resistor. What is the total resistance in the circuit?
A) 90 ohms
B) 80 ohms
C) 100 ohms
D) 4 ohms

Answers

According to the values of all the resistors in the circuit and their connections, a circuit's overall resistance can be calculated (in series, in parallel, or a combination of both).

How much resistance does the circuit in its whole have?

In a series circuit, the sum of each component resistance determines the circuit's overall resistance. The current in a series circuit is the same size everywhere it is present because there is only one channel for electrons to follow.

How much resistance does each parallel resistor add up to?

The total resistance for resistors connected in parallel is equal to the reciprocals of each resistor added together.

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what relationship between the total mechanical energy and gravitational potential energy universal gravitation

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In a system under the influence of universal gravitation, the total mechanical energy of an object is the sum of its kinetic energy and its gravitational potential energy. The total mechanical energy of an object is conserved if the only force acting on it is the force of gravity.

Gravitational potential energy is a type of potential energy that an object possesses as a result of its position relative to other objects in a gravitational field. It is proportional to an object's mass, the acceleration due to gravity (g), and its height above the reference point.

The formula for gravitational potential energy is given by:

U = mgh

where U is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the reference point.

So, the total mechanical energy E of an object in a gravitational field can be expressed as:

E = kinetic energy + gravitational potential energy [tex]= 1/2mv^2 + mgh[/tex]

where m is the mass of the object, v is its velocity, and h is its height above the reference point.

In short, the relationship between the total mechanical energy and gravitational potential energy in a system under the influence of universal gravitation is that the total mechanical energy of an object is equal to the sum of its kinetic energy and its gravitational potential energy.

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g the molar heat capacity of diamond changes with temperature, but for temperatures lower than 500 k k it is reasonably well modeled as being proportional to t3 3 ; that is, c

Answers

Where A is a constant, V (T) equals AT3. Diamond's molar heat capacity is temperature dependent, and the calculation you supplied is a typical technique to predict how it will behave at low temperatures.

How much molar heat can a diamond hold?

The molar heat capacity of diamond, however, is smaller than that of an ideal gas and is approximately 6.11 J/(molK).

Why does diamond melt when the temperature is high?

Every single C-C bond has an extremely high bond energy. To enhance the intermolecular separation and melt the diamond, these bonds must be disrupted. Diamond melts at a very high temperature because high temperatures are needed to dissolve such powerful connections.

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one of the absorption lines of hydrogen has a rest wavelength of 656 nm (at rest means with respect to the observer, like in a lab). You observe several stars and measure the wavelength of this same hydrogen absorption line in each star. Based on the measured wavelength of this line, which star is moving towards the Earth the fastest?

Answers

Star with the measured wavelength of 652 nm is moving towards the Earth the fastest.

What is doppler effect?

The wavelength of light from a moving source is shifted due to the Doppler effect. If a star is moving towards the Earth, wavelength of the light it emits is shifted to shorter (bluer) wavelengths and if it is moving away from the Earth, wavelength is shifted to longer (redder) wavelengths.

As, Δλ/λ = v/c

Δλ is shift in wavelength, λ is rest wavelength, v is speed of the star relative to the Earth, and c is the speed of light.

Let's say we measure a wavelength of 654 nm for one star, and 652 nm for another star. Then, we can calculate the shift in wavelength as follows:

Δλ/λ = (656 nm - 654 nm) / 656 nm = 0.00305

Δλ/λ = (656 nm - 652 nm) / 656 nm = 0.0061

We see that the star with measured wavelength of 652 nm has larger shift in wavelength and therefore is moving towards the Earth faster than  star with the measured wavelength of 654 nm.

So, the star with the measured wavelength of 652 nm is moving towards the Earth the fastest.

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A 53-years old lady was found by imaging to have 50% narrowing in her left renal artery. The change in blood flow for that artery is: (poiseuille Law)
A. 1⁄3 reduction in flow
B. 1⁄2 increase in flow
C. 1/16 increase in flow
D.1/16 reduction in flow

Answers

Answer:

D. 1/16 reduction in flow

Explanation:

Poiseuille's law says that the flow rate in a tube or pipe is:

[tex]Q=\frac{\pi P r^4}{8 \eta L}[/tex]

where P is the pressure difference, r is the radius, η is the viscosity, and L is the length.

Assuming that P, η, and L are constant, then we can say Q is proportional to r⁴.

Q ∝ r⁴

A 50% narrowing means the new radius is r/2. Thus the new flow is:

Q₀ / r⁴ = Q / (r/2)⁴

Q₀ / r⁴ = 16 Q / r⁴

Q = Q₀ / 16

There is a 1/16 reduction in flow.

(50 points) if, in this coordinate system, we bring a free negative charge , find the position of this charge so that the total force applied to it is zero

Answers

Answer:4634-433

Explanation:4-43-34-3

Two wires, A and B, and a variable resistor, R, are connected in series to a battery. Which one of the following results will occur if the resistance of R is increased?

Answers

If two wires, A and B, and a variable resistor, R, are connected in series to a battery, and resistance of R is increase, hence the total current through the battery will increase and the current through the entire circuit will decrease (option E)

The relationship between the voltage applied and the quantity of current flowing through something is known as the electrical resistance. In other words, we can argue that an electrical circuit's ability to resist the flow of current through it is one of its characteristics. The relationship between voltage, current, and resistance is given by Ohm's law. i.e.

V = IR

Where

V = the voltage.

I = the current.

R = the resistance (Omega / Ω)

Because the network's equivalent resistance has decreased, the current flowing through the battery will increase (current = voltage/resistance).

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A 5.2 "kilo" bag of sugar is on a counter. How much work is required to put the bag on a shelf a distance of 0.37 m above the counter?

Answers

Answer:

approximately 18.854 Joules of work is required to put the bag of sugar on the shelf.

Explanation:

The work required to lift the bag of sugar to a height of 0.37 m against the force of gravity can be calculated as:

Work = Force x Distance

where Force is the weight of the bag of sugar and Distance is the vertical distance lifted.

The weight of the bag of sugar can be calculated as:

Weight = Mass x Gravity

where Mass is the mass of the bag of sugar and Gravity is the acceleration due to gravity.

Given that the bag of sugar weighs 5.2 kilograms, the weight of the bag of sugar can be calculated as:

Weight = 5.2 kg x 9.81 m/s^2 = 50.932 N

The distance lifted is 0.37 m.

Therefore, the work required to lift the bag of sugar to a height of 0.37 m can be calculated as:

Work = Force x Distance = 50.932 N x 0.37 m = 18.854 J

Thus, approximately 18.854 Joules of work is required to put the bag of sugar on the shelf.

Suppose that there is a uniform electric field that points in the +x direction. If the electric potential is 5.44 volts at x=9.71 and 6.84 volts at x=9.36, what is the magnitude of this electric field in N/C?

Answers

The magnitude of this electric field is 0.37 N/C.

What is a "electric field"?

An electric field is associated with a location in space whenever charge of any type is present there. The electrostatic potential's magnitude and orientation are described by the value of E, often known as the electric field strength, electric field, or simply the electric field.

Using the formula:

E = ΔV/Δx

where x represents the change in motion and V represents the difference in potential.

ΔV = 5.67 V - 3.46 V = 2.21 V

Δx = 9.72 m - 3.79 m = 5.93 m

Putting in the values, we get:

E = ΔV/Δx = 2.21 V / 5.93 m

= 0.37 V/m =

0.37 * (1 N/C) / (1 V)

= 0.37 N/C

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An advertising blimp is directly over a football stadium. The copilot is watching the game. At t = 0 s, the copilot sees the following: A running back and a defensive back are both at the same yard line, with the running back near the sideline and the defensive back 5.00 m closer to midfield. The defensive back starts at rest, while the running back is running at 5.80 m/s parallel to the sideline. If the defensive back has 5.50 seconds to catch the running back just before the goal line and travels in a straight line, what is the magnitude of acceleration that he must have in order to make the tackle? Type your answer here

Answers

The magnitude of acceleration that he must have in order to make the tackle is 0.15 meters per square second.

What is acceleration?

Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.

Given that at t = 0 s, the copilot sees the following: A running back and a defensive back are both at the same yard line, with the running back near the sideline and the defensive back 5.00 m closer to midfield. \

The defensive back starts at rest, while the running back is running at 5.80 m/s parallel to the sideline. If the defensive back has 5.50 seconds to catch the running back just before the goal line and travels in a straight line

The acceleration will be calculated as:-

Acceleration = Change in velocity / Change in time

Acceleration = ( 5.80 - 5 ) / 5.5

Acceleration = ( 0.80 / 5.5 )

Acceleration = 0.15 m / s²

Hence, the acceleration will be 0.15 m / s²

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A system is a simple compressible system in the absence of _____ and surface tension effects. (Select all that apply.)
-electrical
-motion
-gravitational
-magnetic

Answers

A system is a simple compressible system in the absence of electrical, motion, gravitational, magnetic and surface tension effects.

In thermodynamics, the term "state postulate" describes a set of properties that apply to a system that has achieved thermodynamic equilibrium, also It's a known as "the state principle". The state postulate stipulates that only a limited set of attributes need to be given in order to provide an exhaustive account of a state of thermodynamic equilibrium. After the state postulate has been established, the other undefined attributes are required to take on certain values.

State postulate claims "The state of a simple compressible system is completely specified by two independent, intensive properties". A system is said to as a simple compressible system in the absence of electrical, magnetic, gravitational, motion, and surface tension effects. These effects are caused by external force fields and are insignificant for the majority of engineering problems.

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A cement block accidentally falls from rest from the ledge of a 59.7-m-high building. When the block is 15.1 m above the ground, a
man, 1.80 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the
way?

Answers

The maximum time necessary for the man to get out of the way is 1.65 seconds.

How much time does the man have to get out of the way?

The maximum time necessary for the man to get out of the way in order to safe is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the initial velocity of the blockt is the time of motion of the blockg is acceleration due to gravity

the height above the man's head = 15.1 m - 1.8 m = 13.3 m

h = 0 +  ¹/₂gt²

t = √ ( 2h / g )
t =  √ ( 2 x 13.3 / 9.8 )

t = 1.65 seconds

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Two rivers have the same volume of water flow over time but fall from different heights to power hydroelectric turbines. Which river would provide the most power? Explain why you chose that answer, describing the water's kinetic energy, potential energy and the law of conservation of energy.
( Giving 20 points )

Answers

The river at the greatest height will possess more potential energy and provide power when it falls on the turbine.

What is potential energy?

The potential energy of an object is the energy possessed by the object due to its position above the ground level.

The river at a higher position will possess more potential energy and based on the law of conservation of energy, the higher potential energy of the river will be converted into more kinetic energy, causing the turbine to rotate more to generate more electricity and provide the most power.

Thus, the law of conservation of energy will allow the potential energy of the river to be converted into kinetic energy of falling water and the electricity from the turbine.

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Lightning A cloud has a large positive charge. Assume that this is the only cloud in the sky over Earth and that Earth is a good electrical conductor. Draw a sketch showing elec- tric charge distribution on Earth due to the cloud’s electric charge. Explain why a person’s hair might stand on end be- fore a lightning strike.

Answers

The cloud has a positive charge. This positive charge entices a negative charge in the Earth. So the part of Earth that is close to the cloud has a negative charge and the distant part has a positive charge.

A person on earth has electric charges, like the Earth. On the end, before lightning strike cloud and earth have the utmost charge that they can carry. So in this time, the person has a large stake of charge like when he or she skims a Van De Graaff. The hair is placed on end when strands have the exact charge because of the repulsive electric force between them. Likewise, before the lightning strike, the person's hair might be placed on end.

Therefore, before a lightning strike person has a great stake of charge like when he or she adjoins a Van De Graaff.

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A diagram showing electric charge distribution on Earth due to the cloud's electric charge.

A linear relationship is defined by the following mathematical function or rule. The response R as a function of the cause C is given by the formula:

R ( C ) = 7 * C.

If the response for R ( 4 * C ) is expressed as X * C, then X would be:

Answers

the value of X will be 28 for the given condition of Function R.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, A linear relationship is defined by the following mathematical function or rule. The response R as a function of the cause C is given by the formula:

R ( C ) = 7 * C.

From the general formula of Function transformation:

if F(x) = ax +b

then F(x+ m) = a(x+ m) + b

In our case,

R ( 4 * C ) = X *C (Given)........(1)

Since,

R ( C ) = 7 * C.

then in equation 1,

7* (4*C) = X*C

X = 28

Therefore, the value of X will be 28 for the given condition of Function R.

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JustAnswer JustAnswer

Answers

the answer it letter b for your question


When a rattlesnake strikes, its head accelerates from rest to a speed of 22 m/s in 0.63 seconds. Assume for simplicity that the only moving part of the snake is its head of mass 120 g.
How much (average) power does the rattlesnake need to accelerate its head that fast?
Answer in units of W. Answer in units of
W.

Answers

Answer:183

Explanation:when you have taken 120g and 22m/s in 0.63 the acceleration has the speed of 183

Bone has a Young’s modulus of about
1.8 × 1010 Pa . Under compression, it can
withstand a stress of about 1.52 × 108 Pa before breaking.
Assume that a femur (thigh bone) is 0.54 m
long, and calculate the amount of compression
this bone can withstand before breaking.
Answer in units of mm.

Answers

The amount of compression this bone can withstand before breaking is 4.56 mm.

What is Young’s modulus?

A solid material's tensile or compressive stiffness when a force is applied longitudinally is measured by the mechanical property known as Young's modulus in tension or compression.

Mathematically, Young’s modulus can be expressed as:

Young’s modulus = Longitudinal stress ÷ Longitudinal strain

Y = P ÷ (Δl/l)

Y = Pl/Δl

Δl = Pl/Y

= (1.52 × 10⁸ × 0.54) ÷  (1.8 × 10¹⁰)

= 0.00456 meter

= 4.56 mm.

Hence, the amount of compression this bone can withstand before breaking is 4.56 mm.

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In the lab, you learned how the ocular reticle is calibrated: you compare one scale against another one. For example: for 4 ocular spaces, there were 10 stage spaces. Now, let's apply the same concept to comparing two other scales: Celsius and Fahrenheit. Water freezes at 0C = 32F, and it boils at 100C = 212F. Therefore, in one scale, there is a variation of 100 points, while in the other, the variation is 180 points. Use this information to calculate: how many degrees Fahrenheit increase if the temperature increased from 20C to 21C?

Answers

The temperature would rise by 1.8 degrees Fahrenheit if it went from 20 to 21 degrees Celsius.

What is the rise in temperature, expressed in Fahrenheit?

Since 1880, the Earth's temperature has increased by an average of 0.14° F (0.08° C) per decade, or nearly 2° F overall. Since 1981, the pace of warming has increased more than double, to 0.32° F (0.18° C) every decade.

When up, does Fahrenheit grow colder?

To assist us remember that as we move up the scale, we go from colder to hotter, let's label our thermometer. In other terms, a higher number of Fahrenheit degrees is hotter than a lower number of Fahrenheit degrees.

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Two students are discussing the motion of the dart-block system at the instant it reaches height H. The students make the following statements:Student 1:​ ​The speed of the system at height H is zero. ​Since it is moving in circular motion and centripetal acceleration is given by ac = v2 ,​ the acceleration must also be zero.Which underlined phrase or phrases, if either, are ​correct​ about student 1's statement? If neither phrase is ​correct,​ write "none."

Answers

The underlined phrase "The speed of the system at height H is zero", "Since it is moving in circular motion and centripetal acceleration is given by ac = v², the acceleration must also be zero" are both underlined phrases are not correct about student 1's statement.

The underlined phrase "The speed of the system at height H is zero" is ​not correct​ about student 1's statement. The statement is incorrect because at the instant it reaches height H, the system would have lost some of its initial kinetic energy due to gravity and would be moving with some velocity, though it could be very small.

The underlined phrase "Since it is moving in circular motion and centripetal acceleration is given by ac = v², the acceleration must also be zero" is also ​not correct​ about student 1's statement. The statement is incorrect because the centripetal acceleration is not given by ac = v², but rather ac = v2/r, where r is the radius of the circular path.

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A student sets up a circuit like the one shown below and wants to measure the following:
the current in the circuit
the potential difference across the lamp
the electromotive force of the cell
How many ammeters and how many voltmeters does the student need to use?

Group of answer choices

A) 1 ammeter and 2 voltmeters
B) 2 ammeters and 1 voltmeter
C) 3 ammeters and 0 voltmeters
D) 0 ammeters and 3 voltmeters

Answers

Answer:

see below

Explanation:

To measure the current in a circuit we need an ammeter. it is connected in series in the circuit.

To measure potential difference across the lamp you will need a voltmeter. A voltmeter is connected in parallel in circuit.

To measure emf you would again need a voltmeter.

So we need one ammeter and 2 voltmeter .

Additional information:-

An ammeter and a voltmeter both are made from galvanometer . To measure current a device should have minimum resistance, so for this a low resistance called shunt is connected in parallel with the galvanometer to make it a ammeter. Since in parallel combination of resistors,

[tex]\implies R_{net} < R_1 / R_2 / R_3 / .. \\[/tex]

To measure potential difference, there should be least current flowing through the device, so we add a high resistance in series with galvanometer to make it voltmeter.

and we are done!

The student will need 1  ammeter and 2 voltmeters.

Option A is correct.

What is an ammeter?

An ammeter is described as an instrument used to measure the current in a circuit.

An ammeter and a voltmeter both are made from galvanometer . In order to  measure current, a device should have minimum resistance, so for this a low resistance called shunt is connected in parallel with the galvanometer to make it an ammeter.

Below are some of the types of ammeter:

1-Moving coil Ammeter.

2-Moving magnet Ammeter.

3-Electrodynamic Ammeter.

4-Moving iron Ammeter.

5-Hot wire Ammeter.

6-Digital Ammeter.

7-Integrating Ammeter.

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Suppose you are playing hockey on a new-age ice surface for which there is no friction between the ice and the hockey puck. You wind up and hit the puck as hard as you can. After the puck loses contact with your stick, the puck willA. not slow down or speed up.B. speed up a little, and then move at a constant speed.C. speed up a little, and then slow down.D. start to slow down.

Answers

After the puck loses contact with our stick, the puck will (A) not slow down or speed up. It will move with a constant speed.

Analysis of a moving objectWe are playing hockey on a new-age ice surface. There is no friction between the ice and the hockey puck. We wind up and hit the puck as hard as we can.

After the puck loses contact with our stick, find how the puck will be!

Let's analyze!

The stick hits the puck with a speed of v₁, then it stops as we hold it, v₁' = 0.The puck is initially at rest, where v₂ = 0, then it moves with a speed of v₂'.

The friction can decelerate a moving object. Since there is no friction between ice and the hockey puck, the puck will move without any deceleration.

It means that the puck will move at a constant speed. It will not slow down or speed up. The speed can be calculated by the Law of Conservation of Momentum.

The correct option is (A).

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Consider a rigid steel beam of length L= 10.5m and mass mb= 375 kgresting on two supports, one at each end. A worker of mass mw= 61kg sits on the beam at a distance x from support A. Refer to thefigure.A. Enter an expression for the force support B must exert on the beam in order for it toremain at rest, in terms of defined quantities and g.a. FB=g(xmW/L + mB/2)

Answers

The force support B must exert on the beam in order for it to remain at rest is equal to the sum of the forces caused by the beam's weight (mg) and the worker's weight (mw).

What is force?

Force is a physical quantity that is used to describe an interaction between two objects. It is a vector quantity, meaning that it has both magnitude and direction. Force can cause an object to accelerate, decelerate, change shape, or even change direction. It is a measure of how much energy is transferred between two objects, and can be calculated using the equation: Force = mass x acceleration.

For equilibrium, the sum of the forces must be zero. Therefore, the force Support B must exert on the beam is equal to the sum of the forces acting on the beam, which can be expressed as FB = g(xmW/L + mB/2). Here, g is the acceleration due to gravity, mW is the mass of the worker, mB is the mass of the beam, and L is the length of the beam.

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differentiate between the shape, volume and motion for the particals of solids, liquids, and gases
please answer asap need for a test! ​

Answers

Answer:

A solid has definite volume and shape, a liquid has a definite volume but no definite shape, and a gas has neither a definite volume nor shape.

Explanation: hope this helped :)

Jared is skateboarding at the park. He is moving at 7 m/s when he begins traveling up a ramp. The combined mass of Jared and the skateboard is 51 kg. How high will he go up the ramp, in m? (Round your answer to one decimal place if necessary.)

Answers

Jared will go up the ramp 2.5 meters.

What is the velocity?

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

The work done by Jared on the ramp can be calculated as follows:

W = mgh

where m is the mass of Jared and his skateboard, g is the acceleration due to gravity (9.8 m/s²), and h is the change in height.

The work done by Jared on the ramp is equal to the initial increase in kinetic energy:

W = (1/2)mv²

Setting these two equations equal to each other, we get:

mgh = (1/2)mv²

Solving for h, we get:

h = (1/2)v²/g

Plugging in the known values, we get:

h = (1/2)(7 m/s)²/9.8 m/s² = 2.5 m

Thus, he will go up the ramp 2.5 m.

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if the potential difference applied across a particular capacitor is doubled, the stored energy will be doubled. What happens to the energy stored?

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If the potential difference across a capacitor is doubled, the energy stored in it is quadrupled.

The ability difference between any points inside the electric-powered field is defined as the quantity of labor done in transferring a unit of fantastic charge without acceleration from one point to another alongside any route among the 2 factors. The distinction in price between higher capability and lower capacity is known as a voltage or capacity distinction.

The voltage between points can be a result of the build-up of electric rate (e.g., a capacitor), and from an electromotive pressure (e.g., electromagnetic induction in generators, inductors, and transformers).On a macroscopic scale, a potential distinction can be due to electrochemical methods (e.g., cells and batteries), the stress-induced piezoelectric effect, and the thermoelectric effect.

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question 1: approximating small oscillations (grader a, 15 points) a particle of mass m is constraint to move along x. its potential energy is u(x)

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The angular frequency of small oscillations about the minima of the potential energy U(x)=−ax^2 +bx^4 is equal to 2√a/m

Given the potential energy U(x) = −ax^2 +bx^4

Differentiate the given potential energy such that:

dU/dx = d/dx(−ax^2 +bx^4)

dU/dx = -2ax + 4bx^3

x(4bx^2 −2a) = 0

Then x1 = 0 and x2 = √a/2b

We know the force acting = F = -kx

dF/dx = k = d2/dx2(U)

k = d/dx( -2ax + 4bx^3 )

k = -2a + 12bx^2

k(x=0) = -2a

k(x=√a/2b) = 4a

We know the angular frequency (ω) = √k/m = √4a/m = 2√a/m

Hence, the angular frequency of small oscillations about the minima of the potential energy is equal to 2√a/m

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complete question: A particle of mass m moves in a one-dimensional potential energy U(x)=−ax^2 +bx^4, where 'a' and 'b' are positive constants. The angular frequency of small oscillations about the minima of the potential energy is equal to

Light traveling in air strikes a flat piece of uniformly thick glass at an incident angle of 60.0, as shown in the figure on the right. If the index of refraction of the glass is 1.50
, what is the angle of refraction in the glass, what is the angle at which ray emerges from the glass?.

Answers

Answer:

the angle at which the ray emerges from the glass is approximately 26.8°.

Explanation:

Assuming that the angle of incidence is measured from the normal, the angle of incidence of the light ray in air is 60.0°. Using Snell's law, we can find the angle of refraction in the glass:

n1 sinθ1 = n2 sinθ2

where n1 is the refractive index of air, which is approximately 1, and n2 is the refractive index of the glass, which is given as 1.50. Therefore, we have:

1.00 sin 60.0° = 1.50 sinθ2

θ2 ≈ 40.9°

So the angle of refraction in the glass is approximately 40.9°.

To find the angle at which the ray emerges from the glass, we need to apply Snell's law again using the angle of incidence in the glass and the refractive index of air:

n2 sinθ2 = n1 sinθ3

where θ3 is the angle of refraction in air. Plugging in the values, we get:

1.50 sin 40.9° = 1.00 sinθ3

θ3 ≈ 26.8°

So the angle at which the ray emerges from the glass is approximately 26.8°.

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