Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 10000 hours, on the average, and costs $ 12.00, whereas the incandescent bulb costs only $ 0.76, but lasts just 750 hours. The study assumed that electricity cost $ 0.090 per kilowatt-hour and that the bulbs were on for 4.0 h per day.

Required:
a. What is the total cost (including the price of the bulbs) to run each bulb for 3.0 years?
b. How much do you save over 3.0 years if you use a compact fluorescent bulb instead of an incandescent bulb?
c. What is the resistance of a "100-W" fluorescent bulb?

Answers

Answer 1

Answer:

a

[tex]The  \ price \  for \   Compact\ fluorescent\ bulbs \ is  \ C_T  = \$ 21.067\\The   \ price \  for \    incandescent\ bulb \ is \ C_t  = \$ 43.98[/tex]

b

[tex]The \  amount  \  saved \ is  \ C_S =  \$ 22.913[/tex]

c

[tex]The \ resistance \  is \ R =  626.1 \Omega[/tex]

Explanation:

From the question we are told that

   The power used by incandescent bulb [tex]P_r  =  23.0 W[/tex]

    The power used by  Compact fluorescent bulb [tex]P_p  =  100W[/tex]

     The life span of  Compact fluorescent bulb is  [tex]t = 1000 \  hours[/tex]

    The  prices of   Compact fluorescent bulb is [tex]C_c = \$ 12 [/tex]

    The  prices of incandescent bulb is [tex]C_i = \$ 0.76 [/tex]

     The life span of   incandescent bulb is  [tex]t_k = 750   \ hours[/tex]

      The cost of electricity is [tex]C_e =  \$ 0.090/ kilowatt-hour = \frac{0.090}{1000} = \$0.00009 / W / h[/tex]

    The duration of daily bulb usage is [tex]t_d  =  4 \  hours[/tex]

     

Generally 3 years of bulb usage  in hours is mathematically evaluated as

    [tex]t_3 =  3 *  365 *  t_d[/tex]

=>   [tex]t_3 =  3 *  365 *  4[/tex]

=>   [tex]t_3 =  4380 \ h [/tex]

Generally the cost to power a 23W bulb for the above duration  is mathematically represented as

 [tex]Z = 23 *  t_3 * C_e[/tex]

=>   [tex]Z = 23 *  4380 * 0.00009[/tex]

=>   [tex]Z = \$ 9.0667[/tex]

The number of Compact fluorescent bulbs required to  achieve this about of time is mathematically represented as

       [tex]N  =  \frac{t_3}{ t}[/tex]

=>  [tex]N  =  \frac{4380}{1000}[/tex]

=>   [tex]N  = 0.438 [/tex]

=>  [tex]N  \approx  1 [/tex]

The total cost of  usage  for the Compact fluorescent bulb   is  mathematically represented as

      [tex]C_T  =  Z +C_c[/tex]

=>   [tex]C_T  =  9.0667 +12[/tex]

=>   [tex]C_T  = \$ 21.067 [/tex]    

The number of  incandescent bulbs required to  achieve this about of time is mathematically represented as

       [tex]M =  \frac{t_3}{ t_k}[/tex]

=>  [tex]M  =  \frac{4380}{750}[/tex]

=>   [tex]M  = 6 [/tex]

Generally the cost to power a 100W bulb for the above duration  is mathematically represented as

 [tex]Z = 100 *  t_3 * C_e[/tex]

=>   [tex]Z = 100 *  4380 * 0.00009[/tex]

=>   [tex]Z = \$ 39.42[/tex]

The total cost of  usage  for the incandescent bulbs    is  mathematically represented as

      [tex]C_t  =  C_e + [6 *C_i][/tex]

=>   [tex]C_t  =  39.42 + [0.76 *  6][/tex]

=>   [tex]C_t  = \$ 43.98[/tex]    

Generally the total amount saved is mathematically represented as

   [tex]C_S =  C_t - C_T[/tex]

=>   [tex]C_S =  43.98 - 21.067[/tex]

=>   [tex]C_S =  \$ 22.913[/tex]

Generally the resistance of the Compact fluorescent bulb is  

    [tex]R =  \frac{V^2}{P}[/tex]

    [tex]R  =  \frac{120^2}{23}[/tex]

[tex]R =  626.1 \Omega[/tex]


Related Questions

A series RLC circuit contains a 1,000 resistor, a 240 mH inductor, and a 0.04 uF capacitor. What is the circuit's resonant frequency?
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Answers

Answer:

Explanation: use f= ma

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∴ a = 2 m/s²

When a mass of 500 Kg with the force 1000N, the acceleration produced is equal to 2m/s².

What is Newton's second law of motion?

According to Newton’s second law of motion, the force equals the mass of the object times acceleration when the object has constant mass.

This law states that acceleration depends on two variables. The first variable is the mass and the net force acting on the body. The acceleration is directly proportional to the net force acting and inversely proportional to the mass.

Newton’s second law can be represented in the equation as follows:

[tex]F= ma[/tex]

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Acceleration or gaining speed happens when a force acts on an object.

Given the mass of the object, m= 500 Kg

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A body is pulling a load of 50N with a string inclined at an angle of 30 degrees to the horizontal.
If the tension is 108N, calculate the force tending to lift the load off the ground.

Answers

Answer:

answer: 105 sin 30 = 52.5

8. In explosives, potential energy is generally
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Answers

Answer:

In explosives,potential energy is in the stored form of chemical energy.

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b. What force is required to accelerate a 14kg object at 4.5
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Answers

Answer:

a) 1.4 m/s2

b) 63N

c) 6.66kg

Which describes the motion of the box based on the resulting free-body diagram?
1. It is moving up with a net force of 20 N.
2. It is moving to the right with a net force of 10 N.
3. It is in dynamic equilibrium with a net force of 0 N.
4. It is in static equilibrium with a net force of 0 N.

Answers

Answer:

D. (static equilibrium)

Explanation:

I just took the test and made a 100 with that answer.

Answer:

4. It is in static equilibrium with a net force of 0 N.

Explanation:

Just got it right :)


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Determine the vertical component of the baseball's velocity.

Answers

Answer:

Vy = 24.01 [m/s]

Explanation:

To solve this problem we must understand that velocity is a vector and therefore has magnitude and direction, in this way we can decompose the velocity in the components x & y, by means of the trigonometric functions of the sine and cosine of the angle.

For the vertical component, the sine of the angle is used.

Vy = 25.79*sin(68.64)

Vy = 24.01 [m/s]

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Answers

Answer:

Matter

Explanation:

Because it is solid

Answer:

Solid

Solid < Liquid < Gas

a horse was at rest.what was the final velocity of the horse if it covered 200 meters in 16 seconds?

Answers

Answer:

12.5m/s

Explanation:

Simplify the proportion.

200/16 = 100/8 = 50/4 = 25/2 = 12.5

What is the final velocity if you have an initial velocity of 4 m/s with an acceleration of 2 m/s2 over 5 second interval interval

Answers

Answer:

14m/s

Explanation:

The student toses a ball into the air and then watches the ball fall back down to earth. When does the ball have the most potential energy

Answers

Answer:

when the ball is at its highest in the air.

Explanation:

I don't know for sure, but when the ball is in the air it has potential energy to fall(or something like that).

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75
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What is the appropriate domain for the function?


the set of integers

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Answers

Answer:

the set of all real numbers

Explanation:

Given the cost of the magazine expressed as:

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c describes the cost of the yearly subscription.

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You must understand that domain are the values of the input variable m that will make the function exist.

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Question 4 of 10
A 6.2 kg bowling ball that weighs 60.76 N is accelerating at 1.8 m/s2. After 2
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B. 1.7 kg.m/s
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D. 16.9 kg.m/s

Answers

Answer:

22.3 kg•m/s

Explanation:

Apex;)

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Answers

Answer:

I believe B. The picture is not completely clear

Explanation:

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direction and distance

mass and distance

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shape and time

Answers

Answer:

mass and distance

Explanation:

dont need to summary this

Answer:

B. mass and distance

Explanation:

the graph below represents the relationship between velocity and time for an object moving along a straight line.

What is the magnitude of the object's acceleration?

1. 5.0 m/s^2

2. 8.0 m/s^2

3. 10. m/s^2

4. 20. m/s^2​

Answers

Answer:

10. m/s^2

Explanation:

40-(-10)= 50

50/5 =10

This question can simply be answered by using the slope of the velocity-time graph.

The correct answer for the magnitude of the acceleration is "3. 10 m/s²".

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[tex]Acceleration = Slope = \frac{v_2 - v_1}{t_2-t_1}[/tex]

where,

v₁ = initial velocity from the graph = - 10 m/s

v₂ = final velocity from the graph = 40 m/s

t₁ = initial time from the graph = 0 s

t₂ = final time from the graph = 5 s

Therefore,

[tex]Acceleration = \frac{40\ m/s\ -\ (-\ 10\ m/s)}{5\ s\ -\ 0\ s}[/tex]

Acceleration = 10 m/s²

The attached picture shows the types of a velocity-time graph.

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when electric and _______ fields both exist, it is called an electromagentic

Answers

Answer:

the answer is magnetic

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Answers

Like linear velocity, angular velocity is the relationship between the variation of angular space at a given time.

It was agreed that the trajectory of the movement is clockwise. Thus, the movement that follows this orientation will be positive and the opposite, negative.

For the formula relating the linear velocity, it is necessary to take into consideration the following formula

[tex]v = \omega \times R[/tex]

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A large mining dump truck has a mass of 40,000 kg. If its engine produces
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Answers

Answer:

0.5 m/s²

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Net force = mass × acceleration

∑F = ma

20,000 N = (40,000 kg) a

a = 0.5 m/s²

Answer:

which one will not start moving faster

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Mass is also described by physics. If you apply the same amount of force to a small sports car and to a big garbage truck.

Question 7
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What is the difference between a hypothesis and a theory?

Answers

A hypothermia is like an idea and a theory is something you think

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The water molecules decrease their speed.

Answers

the molecules will increase their speed
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PLEASE PLEASE HELP PICTURE INCLUDED

Answers

Answer:

a is the answer

Explanation:

15)
The Celsius temperature equal to 86° Fahrenheit is:
T(F) = 9/5T(C) + 32
T(C) = 5/9 ( T(F) - 32)

A)
16°C
B)
30°C
C)
212°C
D)
190°C

Answers

Answer:

letter b

Explanation:

30 degrees Celsius equals 86 degrees Fahrenheit add me plesse mark brainiest

what is it called when I sound waves slowed buy a new medium
1.echo
2.transmission
3.absorption
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Answers

Answer:

3

Explanation:

A trebuchet launches a pumpkin at an angle of 27 degrees at an initial velocity of 32 m/ s from the ground. What is the apogee of the pumpkin?​

Answers

Answer:

10.77 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 32 m/s

Angle of projection (θ) = 27°

Acceleration due to gravity (g) = 9.8 m/s²

Apogee i.e maximum height (H) =?

Thus, the apogee i.e the maximum height of the pumpkin can be obtained as follow:

H = u² Sine² θ /2g

H = 32² × (Sine 27)² / 2 × 9.8

H = 1024 × (0.454)² / 19.6

H = (1024 × 0.206116) / 19.6

H = 10.77 m

Thus, the apogee i.e the maximum height of the pumpkin is 10.77 m.

What is the final velocity of a running back that is moving with an initial velocity of 2 m/s and accelerates at a rate of 4 m/s$$ in 5 seconds as he moves toward the defensive line?

Answers

Answer:

Final velocity = 22

Explanation:

22-2/5= 4

20/5=4

so add to so it is not 18/5

Then you get your answer.

Answer:

4. A sound wave moves towards a building at 5 m/s for 22 seconds.

Explanation:

i know this is a lot to do but i will give you the highest amount of points (100, but you get 50 from it.) and i will cash app you $20 just tell me your cash app in the comments. please don't post troll answers. please be legit! this is due at 11:59 today, so in about 5 hours. the questions are in the images below. thank you so much!

Answers

Answer:

mel mel 4 ever

Explanation:

What is called mass per unit

volume of a substances? | ककसी पदाथष के

द्रव्यमान प्रतत इकाई आयतन को क्या कहते हैं?

A : Mass | द्रव्यमान

B : Weight | भार

C : Density | घनत्व

D : Volume | आयतन

Ans:
C : Density | घनत्व​

Answers

Answer:

Density

Explanation:

The definition of density of a substance is the quotient between its mass and its volume. Such results in the mass per unit of volume.

What is the main difference between the atoms in a solid versus atoms in a 1 point
liquid?

Answers

Answer:

Atoms in a solid are close and tightly packed.They vibrate about fixed positions .They are arranged in a regular LATTICE.They cannot be compressed nor can they change shape.They have strong forces of attraction between them so they cannot move in order to move they have to gain ENERGY. Whereas the atoms in a liquid are not that close compared to the ones in solid.They take the shape of the container but their volume remains fixed.They have weak forces of attraction between atoms and have more energy which enables them to move.

Explanation:

What is the acceleration along the ground of a 18 kg wagon when it is pulled with a force of 91 N at an angle of 35° Above the horizontal?

Answers

Answer:

4.1 m/s²

Explanation:

Net force in the x direction equals the mass times the acceleration.

∑F = ma

91 cos 35° = (18 kg) a

a = 4.1 m/s²

Answer:

Explanation:

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