-- The potential energy of a 12-lb bowling ball up on the shelf
doesn't have anything to do with the temperature of the ball or
the shelf.
-- The potential energy of a jar full of gas does depend on the
temperature of the gas. The warmer it is, the greater its pressure
is, and the more work it can do if you let it out through a little hole
in the jar. If it gets hot enough, it'll have enough potential energy
to blow the jar to smithereens.
Paint is immiscible because the layer that forms on top of settled paint is a substance which cannot dissolve with the rest of the paint. Stirring the paint is only temporarily in effort to form an even and thoroughly mixed solution by physically mixing the separate molecules of the solution. However, for it to be miscible, it the solution has to be evenly distributed (chemically) on a molecular level as to not separate when left for a lengthy period of time.
Answer:
45.5 m
Explanation:
m = 2 kg, h = 20 m, E = 500 J, radius of earth = R, mass of earth = M
find the new height H
at h, the potential energy = -GMm/(R + h)
at H, the potential energy = -GMm/(R + H)
increase of the potential energy
= [-GMm/(R + H)] - [-GMm(R + h)]
= GMm[1/(R + h) - 1/(R + H)] = E
1/(R + h) - 1/(R + H) = E/(GMm)
(H - h)/[(R + H)(R + h)] = E/(GMm)
R + h ≈ R, R + H ≈ R
so (H - h)/R² = E/(GMm)
H - h = ER²/(GMm)
note GM/R² = g = 9.81 m/s²
so H - h = E/(mg)
H = h + E/(mg) = 20 + 500/(2*9.81) = 45.5 m
The total charge passing a given point in the conductor from t = 0 to t = 1/240 s is 12000π Coulombs
<h3>Total charge through a conductor</h3>
A conductor is a substance that allow current and electricity to pass through it.
The expression that will be used to calculate the current is expressed s:
I(t) = 100 sin (120πt)
where
I is in amperes and t is in seconds.
Since dQ = Idt = I(t) = 100 sin (120πt)
On integrating
Q = 100*120πcos(120πt) |¹/¹²⁴⁰₀
Substitute the limits
Q = 100 * 120π
Q = 12000π Coulombs
Hence the total charge passing a given point in the conductor from t = 0 to t = 1/240 s is 12000π Coulombs
Learn more on total charge through a conductor here: brainly.com/question/15083960
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