Fill in the blanks with the correct types of energy.

Physics

1 answer:

Mashcka [7]3 years ago

3 0

Energy in 1 is Chemical energy, 2 is Thermal energy, 3 is electrical energy the correct answer is option B that is, Chemical, thermal and electrical energy.

<h3>Energy Conversion</h3>

Energy is the ability to do work.

The conservation of energy state that energy can neither be created nor be distroyed but can be transformed from one form to the other.

According to the question,

CASE 1

The furnance makes use of burning coal to process water to steam in a boiler. The energy involved is Chemical energy.

CASE 2

The steam produce by the boiler is used to power the rotation of the turbine. The energy involved is Thermal energy.

CASE 3

The rotation of the turbine helps the generator to produce electricity. The energy involved is electrical energy.

Therefore, the correct answer is option B that is, Chemical, thermal and electrical energy.

Learn more about Energy here: brainly.com/question/25959744

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Zielflug [23.3K]

Yp(t) = A1 t^2 + A0 t + B0 t e(4t)

=> y ' = 2A1t + A0 + B0 [e^(4t) +4 te^(4t) ]

   y ' = 2A1t + A0 + B0e^(4t) + 4B0 te^(4t)

=> y '' = 2A1 + 4B0e(4t) + 4B0 [ e^(4t) + 4te^(4t)

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Now substitute the values of y ' and y '' in the differential equation:

<span>y′′+αy′+βy=t+e^(4t)

</span> 2A1 + 4B0e^(4t) + 4B0e^(4t) + 16B0te^(4t) + α{2A1t + A0 + B0e^(4t) + 4B0 te^(4t) } + β{A1 t^2 + A0 t + B0 t e(4t)} = t + e^(4t)

Next, we equate coefficients

1) Constant terms of the left side = constant terms of the right side:

2A1+ 2αA0 = 0 ..... eq (1)

2) Coefficients of e^(4t) on both sides

8B0 + αB0 = 1 => B0 (8 + α) = 1 .... eq (2)

3) Coefficients on t

2αA1 + βA0 = 1 .... eq (3)

4) Coefficients on t^2

βA1 = 0 ....eq (4)

given that A1 ≠ 0 => β =0

5) terms on te^(4t)

16B0 + 4αB0 + βB0 = 0 => B0 (16 + 4α + β) = 0 ... eq (5)

Given that B0 ≠ 0 => 16 + 4α + β = 0

Use the value of β = 0 found previously

16 + 4α = 0 => α = - 16 / 4 = - 4.

Answer: α = - 4 and β = 0

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