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2 years ago

Which option best describes the increase in pressure when the volume of a plastic bottle decreases?

Physics

1 answer:

Allisa [31]2 years ago

6 0

Answer:

B) uniform

Explanation:

We can solve this problem by using Boyle's law, which states that:

<em>For a constant mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume.</em>

Mathematically:

where

p is the pressure of the gas

V is its volume

If we apply the equation to the bottle in the problem, we see that:

- when the volume of the bottle (and therefore, of the gas inside) decreases, than the pressure will increase

- viceversa, when the volume of the bottle increases, the pressure will decrease

The amount by which the pressure increases is inversely proportional to the decrease in volume, so the answer depends on how the volume of the bottle decreases: however, if the volume of the bottle decreases uniformly, then we can say that the pressure inside the bottle will also increases uniformly.

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The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

<h3>What is simple harmonic motion?</h3>

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

The given equation of the simple harmonic motion is

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Data;

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Solving this

$\frac{dx}{dt} = -3.5 X \frac{\pi }{2} cos (\frac{x\pi t}{2}+\frac{5\pi }{4} )$

Let's calculate the maximum velocity.

$V_{m} =\frac{3.5\pi }{2}$

This is only possible when cos θ = -1

The maximum kinetic energy is

$K_m =\frac{1}{2} mv^2 = \frac{1}{2} X \frac{500}{1000} X \frac{7^2\pi ^2}^{4} ^2$

$w^2 = \frac{k}{m} \\k = w^2m\\k = \frac{\pi ^2}{4} X \frac{500}{1000} \\k =1.254 N/m$

Using the value of spring constant, we can find the maximum potential energy.

$P.E =\frac{1}{2} k x^2\\P.E =\frac{1}{2} X 1.234 X 3.5^2 \\P.E = 7.56 J$

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

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ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

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(B) 0.701N

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Fy is the y component of the force

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x = 53.13°

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F = kqQ/r²

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F(1,3) = (k*q1*q3) / r²

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F(2,3) = (k*q2*q3) / r²

F(2, 3) = (9 * 10^9 * -2.0 * 10^(-6) * 4.0 * 10^(-6)) / (0.4²)

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