Answer:
a)
, b) 
Explanation:
a) According the Archimedes' Principle, the buoyancy force is equal to the displaced weight of surrounding liquid. The mass of the coal in the barge is:




b) The submersion height is found by using the equation derived previously:


The final submersion height is:

Answer:
28 moles of X.
Explanation:
Let's consider the complete combustion of ethanol.
C₂H₆O(l) + 3 O₂(g) ⇒ 2 CO₂(g) + 3 H₂O(l)
When 1 mole of ethanol burns it releases 1370 kJ, that is, the enthalpy of combustion is -1370 kJ/mol. If the energy released by one mole of etanol were used to syntesize the compound X, it would take 45.9 kJ to form 1 mole of X, that is, the enthalpy of formation is -49.5 kJ/mol. Then,

Answer:
Carrier Wave
Explanation:
A carrier wave is described or known as the continuous electromagnetic radiation, of constant amplitude and frequency, which is being given out or released by a transmitter. It is modulated in direct proportion to the signal,that is voice or music, which is meant to be transmitted or broadcasted.
It is mostly used for the transmission of information such as speech and music which can be seen in radio communication.
A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is μ₀ (
).
To find the answer, we need to know about the magnetic field due to a solenoid.
<h3>What is the magnetic field due to a solenoid?</h3>
- A solenoid is an insulated wire wound in the form of a helix.
- Its length is very large compared to its diameter.
- The magnetic field due to solenoid carrying current
can be written as,
μ₀n

- We have an expression for magnetic flux as,
Φ
Where, A is the area.
- Substituting above value of magnetic field in the expression of magnetic flux, we get,
Ф
μ₀
- In terms of inductance, we can express the magnetic flux linked with the coil as,
Ф 
- By equating above two equations of magnetic flux, we get the expression for inductance as,
μ₀ (
)

μ₀ (
).
Thus, we can conclude that the expression for inductance is μ₀ (
).
Learn more about the solenoid here:
brainly.com/question/28058306
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