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noname [10]
3 years ago
11

An electrical power plant manages to transfer 88 percent of the heat produced in the burning of fossil fuel to convert water to

steam. Of the heat carried by the steam, 40 percent is converted to the mechanical energy of the spinning turbine. Which best describes the overall efficiency of the heat-to-work conversion in the plant
Physics
1 answer:
Shtirlitz [24]3 years ago
6 0

An electrical power plant manages to send 88% of the heat produced in the burning of fossil

fuel into the water-to-steam conversion. Of the heat carried by the steam, 40% is converted to

the mechanical energy of the spinning turbine. Which of the following choices best describes

the overall efficiency of the heat-to-work conversion in the plant (as a percentage)?

a. greater than 88%

b. 64%

c. less than 40%

d. 40%

Answer:

Option C is correct

Explanation:

This is the final heat transfer into mechanical energy / total energy production by fossil fuel

Let x = total heat produced by fossil fuel

-88% of x was used to convert water to steam so therefore

.88 *x = 0.88x

- 40% of heat in steam was converted to final mechanical work so therefore

0.4 * 0.88x = 0.352x

So therefore:

Overall efficiency = (0.352x/ x ) * 100 = 35.2%

So therefore option C is correct

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Acrostic poem for cell theory. Especially theory
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3 years ago
On Planet Y, which has no air, a dropped object falls 9 m in 3 seconds. What is g, the acceleration due to gravity, on that plan
slavikrds [6]

Answer:

a = 2 m/s^2

which agrees with the third answer option provided.

Explanation:

Recall the kinematic formula for displacement under the action of a constant acceleration "a":

yf - yi = 1/2 a  t^2

using the information provided this equation becomes:

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solve for a:

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then a = 2 m/s^2

which agrees with the third answer option provided.

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3 years ago
When the displacement of a mass on a spring in simple harmonic motion is A/2 from the equilibrium position, what fraction of the
KonstantinChe [14]

Answer:

The ratio is  KE : TM  =  0.75

Explanation:

from the question we are told that

  The displacement of a mass on a spring in simple harmonic motion is A/2 from the equilibrium position

Generally the total mechanical  energy of the mass is mathematically represented as

        TM  =  \frac{1}{2}  *  k  *  A^2

Here  k is the spring constant  ,  A is the total displacement of the  the mass  from maximum  compression to maximum extension of the spring

Generally this total mechanical energy is mathematically represented as

        TM  =  KE  + PE

=>     KE = TM  - PE

Here the potential  energy of the mass is mathematically represented as

     PE   = \frac{1}{ 2}  *  k *  [ x ]^2

Here x is the displacement of the mass from maximum compression or extension of the spring to equilibrium position and the value is  

      x = \frac{A}{2}

So

     PE   = \frac{1}{ 2}  *  k *  [ \frac{A}{2}  ]^2

So

      KE =  \frac{1}{2}  *  k  *  A^2 - \frac{1}{2}  *  k  *  [\frac{A}{2} ]^2

=>    KE =  \frac{1}{2}  *  k  *  A^2 - \frac{1}{8}  *  k  *  A ^2

=>    KE =  0.375  *  k  *  A^2

So the ratio of  KE :  TM is  mathematically represented as

       \frac{KE}{TM} =  \frac{0.375  k A^2 }{0.5 k A^2}

=>    \frac{KE}{TM} = 0.75

3 0
3 years ago
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