A large spool in an electrician's workshop has 65 m of insulation-coated wire coiled around it. When the electrician connects a battery to the ends of the spooled wire, the resulting current is 1.8 A. Some weeks later, after cutting off various lengths of wire for use in repairs, the electrician finds that the spooled wire carries a 2.9-A current when the same battery is connected to it. What is the length of wire remaining on the spool

Answers

Answer 1

Answer:

[tex]40.34\ \text{m}[/tex]

Explanation:

[tex]L_1[/tex] = Length of wire = 65 m

[tex]I_1[/tex] = Initial current = 1.8 A

[tex]I_2[/tex] = Final current = 2.9 A

We know

[tex]R\propto \dfrac{1}{I}[/tex]

and

[tex]R\propto L[/tex]

[tex]\dfrac{V}{I}\propto L\\\Rightarrow L\propto \dfrac{1}{I}[/tex]

so

[tex]\dfrac{L_2}{L_1}=\dfrac{I_1}{I_2}\\\Rightarrow L_2=\dfrac{I_1}{I_2}L_1\\\Rightarrow L_2=\dfrac{1.8}{2.9}\times 65\\\Rightarrow L_2=40.34\ \text{m}[/tex]

The length of the wire remaining on the spool is [tex]40.34\ \text{m}[/tex].


Related Questions

Theo mixes cake batter and places it in the oven at 350°F for 45 minutes. Explain what type of reaction baking a cake represents in terms of energy.

Answers

Answer:

Baking a cake requires heat to be applied to the batter in order for it to cook and chemically change into cake. The energy or heat applied is absorbed by the ingredients, so this represents an endothermic reaction.

Explanation:

that's the sample answer, hope it helps

The batter needs to be heated in order to cook and chemically transform into a cake when it is baked. An endothermic reaction is taking place because the energy or heat applied is being absorbed by the constituents.

What is energy?

The quantitative characteristic that is transferred to a body or a physical system in physics is referred to as energy. It manifests itself as heat and light, as well as the act of doing work. Energy is a resource that is conserved; it can only be changed from one form to another and cannot be created or destroyed, according to the law of conservation of energy. The SI unit of energy measurement is the joule (J).

According to the question, there are various types of reactions two of which are endothermic reactions and exothermic reactions.

In an endothermic lot of energy is absorbed and in opposition to the exothermic reaction lot of energy is released.

To get more information about Energy :

https://brainly.com/question/1932868

#SPJ5


EXPLAIN: Why must you reduce friction
order to move certain objects?

Answers

Friction is one of the forces working against a moving object, it makes it harder to move the more friction is exerted on the object. So, by reducing friction, you are making it easier for you to be able to move objects.

how can the conductivity of a semiconductor be increased?

Answers

Reduce the temperature

HEEEEEEELLLLLPPPPPPP 20 points and Brainliest

Why do radio telescopes convert radio waves (analog signals) to electrical (digital) signals for analysis?

Select ALL that apply

a
To reduce signal interference
b
To protect the information from Aliens
c
Data is analyzed on a computer
d
To make the data safe to analyze

Answers

Answer:

C. Data is analyzed on a computer

Explanation:

Computers can analyze electrical signals, not radio signals. This means that the radio waves need to be converted to electrical signals to help the computer analyze the data.

Please help! Why is the air pressure lower on top of the airfoil?
Please don't answer if you don't know thanks!

Answers

Answer: When air passes both above and below the airfoil, the air on top moves faster because of the curve, causing it to have a lower air pressure. This is according to Bernoulli’s principle, which states that faster moving air has less pressure than slower moving air. Also This is what causes the airplane to lift into the air.

Explanation:

Answer:

it pulls on the air above it accelerating that air down

have a nice day

1.Which of the following describes kinetic energy?
a. It is the energy of objects at rest. c. It is the energy of unmoving objects.
b. It is the energy of moving objects. d. It is the energy of objects in motion and in position.
2. What kind of energy does a sling shot that is pulled back all the way has?
a. kinetic energy c. elastic potential energy
b. chemical energy d. gravitational potential energy
3. Which of the following affects the amount of potential energy of an object?
a. mass and height b. mass and velocity c. height and velocity d. mass only
4. How will you increase the potential energy of a diver in the Olympics?
a. work out and lose weight c. go to a lower diving board
b. always jump d. go to a higher diving board
5. Which is the best example that something has kinetic energy?
a. water in the glass c. crawling ants on the wall
b. an apple placed at the rooftop d. car parked in front of the house
6. Which quantity does not affect the amount of kinetic energy?
a. mass b. velocity c. location d. none of these
7. If two objects with different mass are placed on the same table, which one contains
more energy?
a. The object with less mass c. Both objects have same amount of energy
b. The object with greater mass d. None of the two objects
8. A 60 kg man walks from the ground to the top of a 80 m tall building. How much
increase in gravitational potential energy is there? (Take g = 10N/kg)
a. 600 N b. 4800 J c. 8000 J d. 48000 J
9. The baseball pitcher throws a 0.145 kg baseball at a velocity of 30.0 m/s. What will be
the kinetic energy of the ball?
a. 62.55 J b. 65.25 J c. 65.55 J d. 62.25 J
10. If you are going to place a stone on a hill, at which point of the hill will it contain the
greatest amount of potential energy?
a. halfway down the hill c. top of the hill
b. on the hillside d. bottom of the hil

Answers

I hope it will help you a lot I did my best as I can

Explanation:

1.

a

2.

a

3.

a

4.

a

5.

d

6.

a

7.

a

8.

b

9.

b

10.

c

I did all I can please mark me as brainllest

Given the role of protein in the body, what is a likely consequence of not getting enough protein in the body?


OPTIONS:

A.
It will be very easy to get sick.
B.
It will result in a lack of energy.
C.
It will negatively impact coordination.
D.
It will cause the body to create too much sugar.

PLEASE NO LINKS

Answers

Answer: It is b

Explanation:

The lack of protein in the body will result in a lack of energy in the body. Hence, option B is correct.

What is protein?

Proteins are created from a variety of amino acid building blocks. Our body needs dietary protein to supply amino acids for the growth and upkeep of our cells and tissues. As we become older, our dietary needs for protein change.

Proteins are made up of many different amino acids that are joined together. Both plants and animals have a lot of these 20 different amino acid building blocks. Each protein has a unique ratio and arrangement of the 300 or more amino acids that make up a typical protein.

Our body is made up of thousands of different proteins, each of which has a specific function. They contribute to the structural components of our cells and tissues, along with the countless enzymes, hormones, and active proteins produced by immune cells.

To get more information about Protein:

https://brainly.com/question/17095120

#SPJ5

Question 1 (Multiple Choice Worth 2 points)
In order to determine the wavelength, you must know the distance from the
trough of one wave to the crest of the next wave
O midpoint of a wave to the highest point of the next wave
crest of the wave to the equilibrium of the same wave
the crest of one wave to the crest of the next wave

Answers

Answer:

the crest of one wave to the crest of the next wave

Explanation:

In order to determine the wavelength, you must know the  crest of one wave to the crest of the next wave

What is wavelength ?

Wavelength  is the distance between identical points (adjacent crust ) in the adjacent cycle of a waveform propagated in space or along wire .

wavelength can be determined by two methods

1) distance between crest and trough of that wave

2) distance between  crest of one wave to the crest of the next wave or

distance between  trough of one wave to the trough of the next wave

so , the correct answer will be d)the crest of one wave to the crest of the next wave

learn more about Wavelength

https://brainly.com/question/12924624?referrer=searchResults

#SPJ3

Please represent 80 N, East in a diagram
This means a lot to me if u answer
Thank you​

Answers

Answer: Sorry girl, ik the answer but id.k how to upload the diagram

Explanation:

You push a friends sitting on a swing. If you push with 200N of force and your friend accelerates at a rate of 4 m/s^2. Find the mass of your friend.

Answers

e friend sitting on the swing = 50 kg

Rate of acceleration = 4 m/s^2

The above information's are already given in the question. We need to utilize these information's in such a manner that the answer to the question can be determined easily.

We already know that

Force = Mass * acceleration.

This formula has to be used to find the force exerted.

Then

Force exerted = Mass of the friend * Acceleration

                      = (50 * 4) kg m/s^2

                      = 200 Newton

So the force exerted by me is 200 Newton. I hope the explanation and the procedure is clear to you and you are satisfied with it.

Three resistors of 4.0 ohms, 6.0 ohms, and 12 ohms are connected in parallel to an applied potential difference of 12 volts. (1) Calculate the equivalent resistance. (2) Determine the potential difference across each resistor. (3) Calculate the current through each resistor.

Answers

Answer:

(1) 2 ohms

(2) 12 Volts Across each resistor

(3) I₁ = 3 A, I₂ = 2 A, I₃ = 1 A

Explanation:

From the question,

(1) Equilvalent Resistance (Rt) for parallel connection is

1/Rt =(1/R₁)+ (1/R₂) + (1/R₃)

Where R₁ = 4 ohms, R₂ = 6 ohms, R₃ = 12 ohms

1/Rt = 1/4 +1/6 +1/12

1/Rt = (3+2+1)/12

1/Rt = 6/12

1/Rt = 1/2

Rt = 2 ohms.

(2) Since the resistors are connected in parallel, They will have the same potential difference across them,

Hence the P.d across each resistor = 12 Volts.

(3) For R₁,

I₁ = V/R₁ = 12/4

I₁ = 3 A.

For R₂,

I₂ = V/R₂

I₂ = 12/6

I₂ = 2 A

For R₃,

I₃ = V/R₃

I₃ = 12/12

I₃ = 1 A

What is the correct sequence for light traveling through a microscope?

light – objective lens – slide – eyepiece lens
light – slide – objective lens – eyepiece lens
eyepiece lens – objective lens – slide – light
slide – light – objective lens – eyepiece lens

Answers

B. light — slide — objective lens —eyepiece lens

Answerbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb:

Explanation:

b

Why should Mike repeat this investigation?
Mike needs to make sure that all the skateboards are not affected by friction.
Mike needs to have more than one set of numbers to make an accurate graph
The investigation needs multiple trials to determine which board is the control.
The investigation needs to be repeated several times to have the most accurate data.

Answers

Answer:

D

Explanation:

Online physics Electrostatic lab

Answers

you can show a photo to know more about the topic

An unknown element shiny in color, malleable, conducts electricity, and is in group 2 on the periodic table is a non-metal.

True

False

Answers

ummm I believe true..

What is the linear momentum of a car of mass 1000 kg that is moving at a speed of 20 m/s?
а

50 kg m/s
0.02 kg m/s
20000 kg m/s
2000 kg m/s
Od

Answers

The correct option is 20000 kg m /s.

What is Momentum ?

Momentum is a concept in physics that describes an object's tendency to continue moving in its current direction at a constant speed. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is defined as the product of its mass and velocity, and is represented by the equation: p = mv, where p is momentum, m is mass, and v is velocity.

In simple terms, momentum can be thought of as the "motion" of an object, and the larger the mass and velocity of an object, the greater its momentum. Momentum is a conserved quantity, which means that the total momentum of a system remains constant unless acted upon by an external force.

Given , Mass = 1000kg

Speed = 20 m/s

momentum = mv = 20000 kg m /s

To learn more about the momentum , click the given link ; brainly.com/question/86444

#SPJ1

what is the geologic time scale and how is it used​

Answers

Answer:

It is a type of map used to map out the geographical change over time. I believe

Explanation:

What happens during the process of deposition

Answers

Deposition is the process in which sediments, soil and rocks are added to a landform or landmass. When previous weathers surface material , is deposited to a building layer of sediment .

an object is moving forward with a constant velocity. which statement about this object must be true?

Answers

Answer:

• Its acceleration is zero

Explanation:

from definition of acceleration:

[tex]{ \rm{acceleration = \frac{change \: in \: velocity}{time} }} \\ \\ { \rm{acceleration = \frac{ \delta \: (velocity)}{time} }}[/tex]

• since velocity is constant, change in velocity is zero

[tex]{ \boxed{ \rm{ \delta \: (velocity) = 0}}}[/tex]

• therefore:

[tex]{ \rm{acceleration = \frac{0}{time} }} \\ \\ { \boxed{ \tt{acceleration = 0 \: m {s}^{ - 2} }}}[/tex]

If this decay has half-life of 2 years, how many years would it take for 10.8 g Protactinium-231 to remain given an initial mass of 86.3 g?

Answers

Answer:

Time = 6 years

Explanation:

First, we will calculate the no. of half life periods required to reduce the mass of Protactinium to the given value:

[tex]m' = \frac{m}{2^{n} } \\\\2^n = \frac{m}{m'}[/tex]

where,

n = no. of half-life periods = ?

m = initial mass = 86.3 g

m' = remaining mass = 10.8 g

Therefore,

[tex]2^n = \frac{86.3\ g}{10.8\ g}\\\\2^n = 8\\2^n = 2^3[/tex]

Since the bases are the same. Therefore equating powers:

n = 3

Now we calculate the time:

[tex]Time = (n)(Half-Life)\\Time =(3)(2\ years)[/tex]

Time = 6 years

A car originally at rest reaches 40m/s after accelerating for 50s. Calculate its acceleration

Answers

Explanation:

initial velocity=0

final velocity=40m/s

time=50s

acceleration=?

now,

a=v-u/t

a=40-0/50

a=40/50

a=0.8m/s^2

answer

Hurry Plz 50 points and possibly Brainlest.


Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.

P.S. Detailed Response plz

Answers

Answer:

The saddle joint allows movement in different directions but only a small amount of rotation. The thumb is the only organ that has a saddle joint.

It should be noted that the bones that are in the saddle joint ensure the back and forth movement of the thumbs.

The pivot joint is the joint that's responsible for ensuring that one bone rotates around another bone. Ball and socket joint can be found in the shoulder and the hip and it allows for greater freedom of movement.

When compared to other movable joints, the saddle joint is prone to dislocation because it's free-moving and rotates on its own axis alone.

In conclusion, if the thumb contained a pivot joint or a ball and socket joint, it'll be able to move more freely.

A cheetah has an average velocity of 70 mph. If a cheetah was chasing a water buffalo for 23 miles, how long was the cheetah chasing its prey? (Recall that there are 60 minutes in one hour.)
180 minutes
27 minutes
20 minutes
3 minutes

Answers

Answer:

20 minutes

Explanation:

Create a proportion.

x = time for 23 miles of travel

70 miles/hr = 23 miles/ x

--- Cross Multiply

70x = 23  --- Divide 70 on both sides

x = 0.32857 hrs....

multiply your value of "x" by 60 min/hr in order to convert to minutes

0.32857 hrs * 60min/1hr

hr(s) cancels out

x = 19.7143... ~ 20 mins

What type of interference occurs when a crest and trough join?

a) Constructive Interference

b) Destructive Interference

Answers

Answer:

Destructive interference

The answer and solution to how to calculate the minimum steam force.

Answers

Answer:

from which class are you the answer of this depend on your class

A lens 57.8 cm from an object
forms an image 38.5 cm from the
lens. What is the focal length of
the lens?

Answers

Answer:

23.11

Explanation:

accellus

The focal length of the lens is approximately 115.3 cm. The explaination is  explained below.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

Where:

f is the focal length of the lens

v is the distance of the image from the lens

u is the distance of the object from the lens

Given:

v = 38.5 cm

u = 57.8 cm

Let's substitute these values into the formula:

1/f = 1/38.5 - 1/57.8

Now, let's calculate the right side of the equation:

1/f = (57.8 - 38.5) / (38.5 * 57.8)

= 19.3 / (2223.3)

≈ 0.008677

Now, we can find the focal length (f) by taking the reciprocal of both sides:

f = 1 / (0.008677)

≈ 115.3 cm

Therefore, the focal length of the lens is approximately 115.3 cm.

Learn more about lens on:

https://brainly.com/question/29834071

#SPJ2

ví dụ về lực ma sát ?

Answers

lực ma sát khi viết phấn lên bảng

Use this free body diagram to help you find the magnitude of the force needed to keep this block in static equilibrium.
А.15.3 newtons
В.36.3 newtons
C. .63.5 newtons
D. 95.5 newtons

Answers

Split F₁ into its horizontal and vertical components:

F₁ = F₁ cos(θ) i + F₁ sin(θ) j

(boldface = vector; regular font = magnitude)

By Newton's second law, if the object is in equilibrium, then

• the net horizontal force on the block is

F = F₁ cos(θ) - F₃ = 0   →   F₁ cos(θ) = 70 N

• the net vertical force is

F = F₁ sin(θ) + F₂ - W = 0   →   F₁ sin(θ) = 65 N

Recall that cos²(θ) + sin²(θ) = 1 for any θ, so we have

(F₁ cos(θ))² + (F₁ sin(θ))² = (70 N)² + (65 N)²

F₁² = 9125 N²

F₁ = √(9125 N²) ≈ 95.5 N

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

static friction

Explanation:

NEPTUNE

•Number of days to orbit the sun:
•Distance around the sun:​

Answers

Answer:

1. 165 years

2. 2.781 billion mi

Explanation:

Other Questions
screenshot of question below Does this line represent a function? Yes or no A 450 kilogram motorcycle is moving at a speed of 65 m's how much kinetic energy does the motorcycle have Reduce your fraction into lowest terms. Hey can you help me fast!!! factor: 18x+39y-15=0 Find the product for the following expressions: (8c + 2)(5c-7) Part A: The area of a square is (16x^2 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. Part B: The area of a rectangle is (81x^2 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. Find the mean of the data8.1,9.4,11.3,6.7,6.2,7.5 Which of the following would not create an inclusion fossil?A. Insufficient oxygen-(when an organism becomes trapped in amber)B. Low temperatures-(when an organism becomes frozen in a glacier)C. Extremely high temperatures-(when an organism is burned in fire) Ten examples of artificial luminous objects As a way to reduce the number of cases of malaria, a human tropical disease, a specific DNA sequence is inserted into the reproductive cells of Anopheles mosquitoes. Which process was most likely used to alter these mosquitoes? Explain your answer A. cloning studiesB. genetic engineeringC. natural selectionD. random mutations why Hudson can be considered successful What goods originated on the Arabian peninsula? PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much more does a person with a bachelor's degree earn than a person with a high school diploma over the course of 15 years? A)$387,075 B)$398,730 C)$753,585 D)$785,805 Degree of education Income High school diploma $26,582 Associate's degree $37,955 Bachelor's degree $52,387 Master's degree $59,995 Doctoral degree $76,821 Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = 16 t 2 + 16 t + 480 h(t)=16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches? luciana was making $10 per hour.she just got a raise and now makes $10.50 an hour. what was the precent increase in her hourly wage?? Use the 45-45-45-90 triangle relationship to find the missing sides graph the quadratic and step by step please y=x^2+1 URGENT!!!!In a class of students, the following data table summarizes how many students have abrother or a sister. What is the probability that a student chosen randomly from theclass has a sister?