When you switched the direction of the voltage on the battery the magnetic compass needle moved. Which of the following is the best explanation for the movement of the compass needle?

A- The copper wire magnetized the compass needle.

B- The compass needle magnetized the copper wire.

C- The current in the wire produced a magnetic field.

D- The compass needle moved due to the Earth's magnetic field and was unaffected by the electromagnet.

Answers

Answer 1

The correct explanation for the movement of the compass needle when the direction of the voltage on the battery is switched is (C) The current in the wire produced a magnetic field.

What is voltage?

Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit of charge in an electrical circuit. It is the force that drives the flow of electric charge in a circuit. Voltage is usually measured in volts (V) and is represented by the symbol "V".

When an electric current flows through a wire, it creates a magnetic field around the wire. The direction of the magnetic field depends on the direction of the current flow.

This magnetic field interacts with the Earth's magnetic field and causes the compass needle to move. Therefore, as the direction of the current in the wire changes when the voltage on the battery is switched, the direction of the magnetic field around the wire also changes, causing the compass needle to move.

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Related Questions

If Sue completes the work in #1 in 6 seconds, how much power did she provide?

Answers

Sue provided 40 watts of power to complete the work in 6 seconds.

Power is the rate at which work is done, or the amount of work done per unit time. It is a measure of how quickly energy is transferred or transformed from one form to another. Since Sue completed the work in 6 seconds, we can calculate her power using the formula,

Power = Work / Time

From question #1, we know that the work done by Sue was 240 J. And the time taken to complete the work was 6 seconds. Substituting these values in the above formula,

Power = Work / Time

Power = 240 J / 6 s

Power = 40 watts

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Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry? 3Q Q/2 Q/3 Q

Answers

Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, Each capacitor will carry a charge of Q/3.  

A capacitor is a two-terminal electrical device that can store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.capacitor, device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other. A simple example of such a storage device is the parallel-plate capacitor.

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If a sample of gas occupies 13L of volume at a temperature of 75 K what will be its new temperature if it is expanded to 26 L at constant pressure.

Answers

Answer:

150 K

Explanation:

You can use Charles’s Law to solve this problem. Charles’s Law states that the volume of a gas is directly proportional to its temperature in kelvins when pressure is held constant.

Let V1 and T1 be the initial volume and temperature of the gas, and let V2 and T2 be the final volume and temperature of the gas. According to Charles’s Law, we have:

V1 / T1 = V2 / T2

Substituting in the given values for V1 (13 L), V2 (26 L), and T1 (75 K), we get:

13 / 75 = 26 / T2

Solving for T2, we get:

T2 = (26 * 75) / 13

So, T2 = 150 K.

The new temperature of the gas will be 150 K.

The force of gravity acting on a satellite points in towards the center of the earth. If gravity is pulling the satellite towards the earth, why does it not fall into the earth?

Answers

Answer:

satellites dont fall from the sky

Explanation:

Satellites don’t fall from the sky because they are orbiting Earth. Even when satellites are thousands of miles away, Earth’s gravity still tugs on them. Gravity—combined with the satellite’s momentum from its launch into space—cause the satellite to go into orbit above Earth, instead of falling back down to the ground

help!! Sherri is drawing the free body diagram for an object. She says that the object has no net force acting upon it. Which of the following observations would support this statement? (Choose all that apply)

the object that is slowing down.
the object is sitting still
the object that is speeding up
the object is moving with constant velocity
the object that is changing direction.

Answers

Answer:

Constant velocity, sitting still

If a body does not have a net force acting upon it, then the object is sitting still or it is moving with constant velocity. Hence, options B and D are correct.

What is a force?

A force is an action that modifies or maintains a body's or object's motion. A force is, to put it simply, a push or a pull. An object's speed, direction, and even shape can be altered by forces. Gravitational, electrostatic, and frictional forces are some examples of force.

Thus, when an object has no net force acting upon it, then the object is sitting still or is moving with constant velocity. Hence, options B and D are correct.

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A group of students are preforming an experiment in class using
collision carts on a track. An 8.0 kg cart moving to the right at 4 m/s
hits a 4.0 kg cart moving to the left at 6 m/s. Immediately after the
collision, the 4.0 kg cart moves to the right at 3 m/s. What are the
speed and direction of the 8.0 kg cart after the collision?
Show Your Work

Answers

Answer:

The 8.0 kg cart's direction is going towards the right, and its speed is 0.50 m/s.

Explanation:

First the 8.0 kg cart is double of the other. Then the speed of the 8.0 cart 1.5 m/s slower than the other. Then after the collision the 4.0 kg cart goes half its old m/s ( 6 m/s --> 3 m/s ). Put on a diagram, refer to the picture ( sorry about my handwriting ).

Then it will be a total of 0.50 m/s.

H e l p.
I need helppppppp please

Answers

Answer:

machine D

Explanation:

How does changing the charge’s value influence the force between the two charges?

As the value of charge 2 __________, the value of the force ___________.


decreases; decreases

increases; decreases

increases; does not change

decreases; does not change

Answers

The strength of the repulsion or attraction weakens and drops to one-fourth of its initial value when the gap between the two electrons is doubled.

What exactly is physics' law of attraction?

According to the Law of Attraction, when we alter our emotions and thoughts, we alter our electromagnetic field, which attracts a new reality from of the Quantum Field. We must hold that condition of being long sufficient to allow the manifestations to take place after the thought and the sensation have to coincide.

What exactly is physics' law of attraction?

According to the Law of Attraction, when we alter our opinions and feelings, we alter our electromagnetic field, which attracts a new reality from Quantum Field. The thought must coincide with the feeling, and we must then maintain that condition of being for long enough to allow the manifestation to take place.

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can someone pls help i need it fast

Answers

The results obtained from the simulation were as expected.

What is simulation?

Simulation is a technique used to imitate real-world processes and systems in order to study and assess their performance. It is a powerful tool used in many different fields, from engineering, economics, and healthcare to business, education, and social sciences. Simulation allows us to experiment with different scenarios, identify problems, and analyze how changes in the system can affect its overall behavior. By using simulation, we can study complex systems in a controlled environment, instead of relying on trial and error or intuition.

The simulation showed that the amount of water vapor in the atmosphere increased as the temperature increased, which is consistent with the laws of thermodynamics. The simulation also showed that the increase in temperature caused the atmospheric pressure to decrease, which is again consistent with the laws of thermodynamics. Additionally, the simulation indicated that the amount of precipitation declined as the temperature increased, which is also consistent with the laws of thermodynamics.

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In ancient times, _____________________was predicting the motion of the stars, while ____________________was predicting how those stars affected us

Answers

In ancient times, Astronomy was predicting the motion of the stars, while Astrology was predicting how those stars affected us.

 If a star is moving away, its light waves get stretched out to longer, redder, wavelengths, producing a redshift. The faster the star, the greater this shift, so observers can measure the line-of-sight speed from the Doppler shift.the astronomer William Herschel (1738-1822) systematically measured the proper motion of stars in the sky. He found that stars were moving apart in one region and coming closer together in another, and concluded that the Sun was moving toward the region where stars are moving apart.

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in a house 6 bulbs each of 100 watt runs for 8 hours daily and 3 heaters of 1500 watt runs 5 hours daily, how much unit of electricity is consumed in 30 days​

Answers

Answer:

Explanation:

all bulbs = 100*6=600 for 8 hrs

heaters= 1500*3=4500 for 5 hrs

so 600+4500=5100watts

Solution is in the attachment!! :)

When not part of a circuit, what happens in a battery’s negative terminal? A The negative charge is attracted to the opposite charge in the positive terminal but cannot get there. B The negative charge travels directly across the battery to the opposite charge where it remains. C The negative terminal has no electrical charge. D The negative terminal has a positive charge.

Answers

Question:

When not part of a circuit, what happens in a battery’s negative terminal?

Answer

A. The negative charge is attracted to the opposite charge in the positive terminal but cannot get there.

The correct statement is "The negative charge is attracted to the opposite charge in the positive terminal but cannot get there."The correct option is A.

What is electric potential?

Electric potential is a fundamental concept in the study of electricity and magnetism that refers to the electric potential energy per unit charge at a given point in space. It is often represented by the symbol "V" and is measured in volts (V).

At its core, electric potential is a measure of the amount of work that would be required to move a unit positive charge from a reference point to a given point in space against an electric field. The reference point is often chosen to be at infinity, where the electric potential is defined to be zero.

Electric potential is influenced by the presence of charges and electric fields in the surrounding space. For example, if a positive charge is placed in the vicinity of a negatively charged object, the positive charge will experience a force that will cause it to move towards the negatively charged object. The electric potential at the point where the positive charge is located will be lower than the potential at a point farther away, because less work will be required to move the positive charge closer to the negatively charged object.

Mathematically, electric potential can be calculated using the equation:

V = W/q

where V is the electric potential, W is the work done in moving a unit charge from a reference point to the given point, and q is the magnitude of the charge.

Here in the Question,

When a battery is not part of a circuit, there is no flow of current. The chemical reactions inside the battery create a difference in electric potential between the positive and negative terminals of the battery, but this potential difference is not balanced until a complete circuit is formed.

In the absence of a circuit, the negative terminal of the battery has an excess of electrons, which are negatively charged particles. These electrons are attracted to the positive terminal of the battery, which has a deficiency of electrons and is positively charged. However, without a complete circuit, the electrons cannot flow from the negative terminal to the positive terminal.

Option B is incorrect because the electrons do not travel directly across the battery in the absence of a circuit.

Option C is incorrect because the negative terminal does have an electrical charge, as it has an excess of electrons.

Option D is also incorrect because the negative terminal is negatively charged, not positively charged.

Therefore, the negative charge is attracted to the opposite charge in the positive terminal but cannot get there, which is option A.

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Two charged objects have an attractive force of 10 N

Answers

The force between charges becomes 2.5 N, if the distance between them is doubled. Option d is the correct choice.

The force between two charged objects is inversely proportional to the square of the distance between them. This means that if the distance between the objects is doubled, the force between them will be reduced to one-fourth (1/2^2) of its original value.

Since the initial force between the objects is 10 N, if the distance between them is doubled, the force between them will become,

10 N / 2^2 = 2.5 N\

Therefore, the correct answer is (d) 2.5 N.

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--Two charged objects have an attractive force of 10 N. If the distance between them is doubled, the force between them is :

a. 40 N

b. 20 N

c. 5 N

d. 2.5 N--

A 7cm thick wedge and 15 cm long wedge is used to pierce a 2m long log of diameter 20 cm. What is velocity ratio of the wedge?

Answers

The velocity ratio of the wedge is 0.05. This means that the effort must be moved a distance of 20 times the distance moved by the load to split the log.

How to calculate the velocity ratio of the wedge?

To calculate the velocity ratio of the wedge, we first need to understand the mechanical advantage of the wedge.

The mechanical advantage of a wedge is calculated as the ratio of the length of the sloping side of the wedge to its thickness. In this case, the length of the sloping side is the length of the wedge, which is 15 cm, and the thickness is 7 cm. So, the mechanical advantage of the wedge is:

Mechanical advantage = Length of sloping side / Thickness

= 15 cm / 7 cm

= 2.14

This means that the wedge can multiply the force applied to it by a factor of 2.14.

Now, let's calculate the velocity ratio of the wedge. The velocity ratio is the ratio of the distance moved by the effort to the distance moved by the load. In this case, the effort is the force applied to the wedge, and the load is the log.

Since the wedge is being used to pierce the log, we can assume that the force applied to the wedge is equal to the force required to cut the log. The force required to cut a log depends on several factors, including the species of wood, the moisture content of the wood, and the sharpness of the wedge. Without more information, we cannot calculate the force required to cut the log.

However, we can calculate the distance moved by the effort and the distance moved by the load. When the wedge is struck with a hammer or mallet, it moves a short distance into the log. Let's assume that the wedge moves 1 cm into the log before the log splits. The distance moved by the load is equal to the diameter of the log, which is 20 cm.

Therefore, the velocity ratio of the wedge is:

Velocity ratio = Distance moved by effort

/ Distance moved by load

= 1 cm / 20 cm

= 0.05

So, the velocity ratio of the wedge is 0.05. This means that the effort must be moved a distance of 20 times the distance moved by the load to split the log.

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Imagine two equally charged objects that are hanging a certain distance from one another. How does the force between them change if the distance between them triples?

The force is 1/9 as great

The force becomes 9x's greater

The force becomes 3x's greater

The force is 1/3 as great

Answers

Answer The force is multiplied times 9

Explanation:

Answer question in the photo

Answers

The power the force developed in pushing the box up the ramp is 2759.009 watts

How to determine the power the force developed?

Power is simply defined as the rate at which work is done. It can be expressed mathematically as

Power (P) = work (W) / time (t)

But

Work = force (F) × distance (d)

Therefore,

P = Fd / t

But

velocity (v) = distance (d) / time (t)

Thus,

Power = force (F) × velocity (v)

With the above formula, we can obtain the power developed by the force. Details below:  

Force (F) = 1283.26 NVelocity (v) = 2.15 m/sPower (P) = ?

Power = force (F) × velocity (v)

Power = 1283.26 × 2.15

Power = 2759.009 watts

Thus, the power is 2759.009 watts

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A load of 2kg produce an extension of 1mm in a wire of 3m in length and 1mm in diameter,calculate the young modulus of d wire​

Answers

A load of 2kg produce an extension of 1mm in a wire of 3m in length and 1mm in diameter, the Young's modulus of the wire is approximately 8.12 × 10^10 Pa.

The Young's modulus (E) is a measure of the stiffness of a material and is defined as the ratio of stress (σ) to strain (ε) in a material under tensile stress.

In this problem, we are given the following information:

Load (F) = 2 kg

Extension (ΔL) = 1 mm

Length of wire (L) = 3 m

Diameter of wire (d) = 1 mm

We need to calculate the Young's modulus (E) of the wire.

The formula for Young's modulus is:

E = (F/A) / (ΔL/L)

where A is the cross-sectional area of the wire.

The cross-sectional area of the wire can be calculated using the formula:

A = πd^2/4

Substituting the given values, we get:

A = π(1 mm)^2/4 = 0.785 mm^2

Now, substituting the values of F, ΔL, L, and A in the formula for Young's modulus, we get:

E = (2 kg/(9.81 m/s^2))/((1 mm/1000)/(3 m)) / 0.785 mm^2

Thus the value is,

E = 8.12 × 10^10 Pa

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Air passes over the top of an airplane

wing at 170 m/s, and over the bottom

at 130 m/s. What is the difference in

pressure between the top and

bottom of the wing?

Answers

Answer:

The difference in airspeed over the top and bottom of an airplane wing results in a difference in air pressure, which generates lift. The Bernoulli's equation relates the pressure of a fluid (including air) to its velocity and the height of the fluid:

P + 1/2 * rho * v^2 + rho * g * h = constant

where P is the pressure of the fluid, rho is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.

Assuming that the density of air is constant and the height of the wing is negligible compared to the other terms in the equation, we can simplify the equation to:

P + 1/2 * rho * v^2 = constant

The constant in the equation is the same at all points along the wing, since the air is a continuous fluid.

The pressure difference between the top and bottom of the wing can be found by calculating the pressure at the top and bottom of the wing using the simplified Bernoulli's equation, and then taking the difference between the two pressures.

Let P1 be the pressure at the bottom of the wing, where the airspeed is 130 m/s, and P2 be the pressure at the top of the wing, where the airspeed is 170 m/s. Then we have:

P1 + 1/2 * rho * (130 m/s)^2 = P2 + 1/2 * rho * (170 m/s)^2

Simplifying and rearranging, we get:

P1 - P2 = 1/2 * rho * (170 m/s)^2 - 1/2 * rho * (130 m/s)^2

Plugging in the density of air (rho = 1.225 kg/m^3), we get:

P1 - P2 = 1/2 * 1.225 kg/m^3 * (170 m/s)^2 - 1/2 * 1.225 kg/m^3 * (130 m/s)^2

Simplifying and calculating, we get:

P1 - P2 = 377.72 Pa

Therefore, the difference in pressure between the top and bottom of the wing is approximately 377.72 Pa.

does it take more or less force for something to slide across a surface then it does to change direction on the same surface

Answers

It take more force for something to slide across a surface then it does to change direction on the same surface

What does the word force mean?

The definition of force in physics is: The push or draw on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a trajectory and a magnitude.

Friction is the energy that opposes motion, slowing or stopping it entirely. When two things rub against one another, friction is created. Sliding friction is the resistance that any two things produce when they slide against one another. This friction, also referred to as kinetic friction, is the force required to maintain one surface moving along another.

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What example best describes absolute dating?
1. when the automobile was first built
2. when the dinosaurs lived
3. when the universe began
4. when humans first walked the earth

Answers

when the dinosaurs lived


3. Someone at the third-floor window (12.0 m above the ground) hurls a ball downward at an angle of 45 degrees with a speed of 25 m/s. How fast will the ball be traveling when it strikes the sidewalk below?

Answers

The ball will be traveling at a speed of approximately 18.9 m/s when it strikes the sidewalk below.

What is Speed?

It is defined as the distance traveled per unit of time, usually expressed in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

The horizontal component of the velocity remains constant throughout the motion, and it is given by:

Vx = Vcosθ

where V is the initial velocity of the ball and θ is the angle of projection. In this case, V = 25 m/s and θ = 45°, so:

Vx = 25*cos(45°) = 17.68 m/s

The vertical component of the velocity changes due to the acceleration due to gravity (g = 9.8 m/s^2). At the highest point, the vertical component of the velocity becomes zero, and the ball starts falling downwards. The final velocity (v) of the ball just before hitting the ground can be calculated using the following equation:

v^2 = u^2 + 2as

where u is the initial velocity in the vertical direction, a is the acceleration due to gravity, s is the distance traveled in the vertical direction, and v is the final velocity.

Initially, the ball is at a height of 12.0 m above the ground, so s = 12.0 m. The initial velocity in the vertical direction (Vy) is given by:

Vy = Vsinθ

where V is the initial velocity of the ball and θ is the angle of projection. In this case, V = 25 m/s and θ = 45°, so:

Vy = 25*sin(45°) = 17.68 m/s

When the ball hits the ground, its final velocity in the vertical direction is zero. Therefore, we can write:

v^2 = u^2 + 2as

0 = (17.68)^2 + 2*(-9.8)*12.0 - final velocity^2

final velocity = 18.9 m/s (approx)

Therefore, the ball will be traveling at a speed of approximately 18.9 m/s when it strikes the sidewalk below.

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In an experiment, James used the thinnest wire he could find to connect a battery to a light bulb. He found that the bulb lit up dimly. He then changed to thicker wires and repeated his experiment, noticing that the light bulb kept getting brighter. Assuming every wire was made from the same conductor (copper) which of the following explanations is most reasonable? (1 point)
Responses

O A metallic conductor becomes an insulator as it decreases in thickness.


O James must have had a bad connection because the light bulb should have illuminated to the same brightness.


O Thin wires do not allow as much electricity to flow as thicker wires.

O Small items are good insulators, while large items are good conductors.

Answers

Answer:

The most reasonable explanation is:

Thin wires do not allow as much electricity to flow as thicker wires.

This is because electrical resistance is directly proportional to the length of a wire and inversely proportional to its cross-sectional area (thickness). Thinner wires have less cross-sectional area, so they offer more resistance to the flow of electricity. This causes some of the electrical energy to be converted into heat energy, rather than being used to power the light bulb, resulting in dim illumination.

As James switched to thicker wires, the cross-sectional area of the wire increased, reducing the resistance and allowing more electricity to flow to the light bulb. This caused the bulb to illuminate brighter, as more of the electrical energy was converted into light energy.

The other options presented are not supported by the laws of electricity and are therefore not reasonable explanations.

Answer question in picture please

Answers

The gravitational force between Saturn and rock with mass 14.58kg, is approximately 1.22 N.

What is the rationale for the above response?

To compute the gravitational force between Saturn and a rock with a mass of 14.58kg, we can use the formula for gravitational force:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of mass of the two objects.

We need to find the mass of Saturn and the distance between Saturn and the rock. The average radius of Saturn (r_s) is given as 6.03 x 10^7 m.

We can assume that the rock is located on the surface of Saturn, so the distance between the centers of mass of the two objects (r) is the sum of the radius of Saturn and the height of the rock above the surface:

r = r_s + h

where h is the height of the rock above the surface of Saturn. We don't have this value, but we can assume that it is very small compared to the distance from Saturn to the Sun, so we can use the mean distance from the Sun to Saturn (d) as an approximation:

r ≈ d

The mean distance from the Sun to Saturn is given as 1.43 x 10^12 m. Now we have all the values we need to compute the gravitational force:

F = G * (m_saturn * m_rock) / r^2

F = 6.67430 × 10^-11 * (5.96 x 10^26 * 14.58) / (1.43 x 10^12)^2

F = 6.67430 × 10^-11 * (8.706768 x 10^27) / (2.0449 x 10^24)

F = 3.9848358896 x 10^8 N

F ≈ 1.22 N

Therefore, the gravitational force between Saturn and a rock with a mass of 14.58kg is approximately 1.22 N.

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A 1-kilogram turtle crawls in a straight line at a speed of 0.01 m/sec. What is the turtles momentum?

Answers

Problem:

A 1 kilogram turtle crawls in a straight line at a speed of 0.01 m/sec.what is the turtle momentum?

Given Data:

m (mass) = 1 kg

v (velocity) = 0.01 m/s

p (momentum) = ? unknown

The formula in calculating momentum is p = m × v

Solution:

p = m × v

 = 1 kg × 0.01 m/s

= 0.01  kg.m/s

Answer:

Momentum of turtle crawls in a straight line is 0.01  kg.m/s.

PLEASE HELP!!!! A single-celled, microscopic organism, Paramecium caudatum (P. caudatum), was grown in a container with food and freshwater. The growth rate of the P. aurelia population is shown in the graph.

5c78ed99-a73d-456f-987a-379358e65942.jpeg



a. Use the information and graph to describe the relationship among time, food, and the P. Aurelia population.





b. Predict how the P. aurelia population would most likely change if another microscopic organism, Paramecium caudatum (P. caudatum), is added on day 17 to the same container with no additional food or freshwater. Assume that P. caudatum is not a predator of P. aurelia and that both species use the same food. Provide reasoning for your prediction.

Answers

Sorry this is bio.I don’t know this thing

Clouds are made of dense water vapor.


True

False

Answers

Clouds are made of dense water vapor. The answer is true.

Answer:

its false

Explanation:

the current in a circuit is 0.59 A. The circuit has two resistors connected in series: one is 110 ohms and the other is 130 ohm. What is the voltage in the circuit?

Answers

The voltage in the circuit with current 0.59 A is 141.6 volts.

How to calculate voltage?Resistance R = 110 + 130 = 240 ohm. Given what has just been said G= 0.59 A V= GR V= 0.59 240 V= 141.6 volts When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they are able to carry out tasks like lighting a lamp. In a nutshell, voltage equals pressure and is measured in volts (V).Electric charge travels past a pokindly int in a circuit at a constant rate called current. In other terms, current is the pace at which an electric charge flows. Voltage, also known as electromotive force, is the potential difference in charge between two locations in an electrical field.

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Miguel is riding his skateboard down a straight road at 150 meters per minute. If his velocity remains constant, how far will Miguel skate in 3.4 minutes?

Answers

Answer:

510m

Explanation:

150m × 3.4 = 510

distance = speed × time

A soccer ball with a mass of 0.43 kg is thrown to a 63 kg girl at rest who is wearing roller blades. She catches the ball and moves to the right. Her speed just after catching the ball is 0.2 m/s.

Answers

The girl and the ball together move to the right with a velocity of approximately 0.0003 m/s just after the ball is caught. This is a very small velocity, so we can say that the girl is essentially at rest relative to the ground.

What is the conservation of momentum principle?

The total momentum of the system before the ball is thrown is zero, since both the ball and the girl are at rest. After the ball is thrown and caught, the total momentum of the system is still zero, since the girl and the ball are now moving together.

Let's first calculate the velocity of the ball just before it is caught by the girl. We can use the conservation of momentum equation:

m1v1 + m2v2 = (m1 + m2)v

where m1 and v1 are the mass and velocity of the ball before it is thrown, m2 and v2 are the mass and velocity of the girl before she catches the ball, and v is their common velocity after the ball is caught.

Since the girl is at rest before catching the ball, v2 = 0. Plugging in the given values, we have:

(0.43 kg)(v1) + (63 kg)(0 m/s) = (0.43 kg + 63 kg)(0.2 m/s)

Solving for v1, we get:

v1 = (63 kg)(0.2 m/s) / (0.43 kg + 63 kg)

v1 ≈ 0.012 m/s

Therefore, the velocity of the ball just before it is caught by the girl is approximately 0.012 m/s.

Now let's calculate the velocity of the girl and the ball together just after the ball is caught. We can again use the conservation of momentum equation:

m1v1 + m2v2 = (m1 + m2)v

where v1 is the velocity of the ball just before it is caught (which we just calculated), m1 and m2 are the masses of the ball and girl, and v is their common velocity just after the ball is caught.

Plugging in the given values, we have:

(0.43 kg)(0.012 m/s) + (63 kg)(0 m/s) = (0.43 kg + 63 kg)(v)

Solving for v, we get:

v = (0.43 kg)(0.012 m/s) / (0.43 kg + 63 kg)

v ≈ 0.0003 m/s

Therefore, the girl and the ball together move to the right with a velocity of approximately 0.0003 m/s just after the ball is caught. This is a very small velocity, so we can say that the girl is essentially at rest relative to the ground.

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What if? what would be the change in electric potential energy (in j) of the system if the charge q were moved a distance d

Answers

The change in electric potential energy depends on the initial and final positions of the charge, as well as the electric field that exists between those positions.

The change in electric potential energy (ΔU) of a system when a charge q is moved a distance d in an electric field depends on the strength of the field and the magnitude and direction of the charge.

The formula for calculating the change in electric potential energy is:

[tex]\triangle U = q * E * d cos\theta[/tex]

where q is the magnitude of the charge, E is the strength of the electric field, d is the distance the charge is moved, and θ is the angle between the direction of the field and the direction of the movement of the charge.

If the charge q is positive and is moved in the direction of the electric field, then θ = 0 and cos(θ) = 1, and the formula simplifies to:

[tex]\triangle U = q * E * d[/tex]

If the charge q is negative and is moved in the direction of the electric field, then θ = 180 degrees and cos(θ) = -1, and the formula becomes:

[tex]\triangle U = -q * E * d[/tex]

If the charge is moved perpendicular to the electric field, then θ = 90 degrees and cos(θ) = 0, and the change in electric potential energy is zero.

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