Distance from the sun.
<span>The third law of planetary motion states that the square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit</span>. The semi-major axis is the distance from the sun to the epicenter of the ellipse (which would be the planet in question). So, the revolutionary period is directly related to the distance of the planet from the sun.
Answer:
- <u>The water ballon that was thrown straight down at 2.00 m/s hits the ground first, 0.19 s before the other ballon.</u>
Explanation:
The motions of the two water ballons are ruled by the kinematic equations:
We are only interested in the vertical motion, so that equation is all what you need.
<u>1. Water ballon is thrown horizontally at sped 2.00 m/s.</u>
The time the ballon takes to hit the ground is independent of the horizontal speed.
Since 2.00 m/s is a horizontal speed, you take the initial vertical speed equal to 0.
Then:

<u>2. Water ballon thrown straight down at 2.00 m/s</u>
Now the initial vertical speed is 2.00 m/s down. So, the equation is:

To solve the equation you can use the quadratic formula.

You get two times. One of the times is negative, thus it does not have physical meaning.
<u>3. Conclusion:</u>
The water ballon that was thrown straight down at 2.00 m/s hits the ground first by 1.11 s - 0.92s = 0.19 s.
The students can feel the vibrations from the bleachers, but not from the drums because of the resonance.
<h3>What is the resonance?</h3>
The resonance condition occurs when the frequency of a wave matches with the resonance frequency.
The transfer of energy becomes maximum when the natural frequency matches with the frequency generated by the source.
The bleacher and student together having the frequency matching with the resonance frequency of the drum.
The bleacher and student with the bag frequency doesn't match with the resonance value of drums. Secondly, as distance increases sound intensity also decreases.
Thus, the student can feel the vibrations from the bleachers, but not from the drums because of the resonance.
Learn more about resonance.
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Answer:
0.275 nF
Explanation:
First of all, let's calculate the initial charge stored by the capactiro when it is in air. This is given by:

where
is the initial capacitance of the capacitor
is the voltage of the battery
Substituting, we find

When the Teflon slab is inserted between the plates, the capacitance changes according to:

where
is the dielectric constant of Teflon. Therefore, the new charge stored on the capacitor will be:

And so, the change in the charge on the capacitor is:
