Answer:the sample of solid has less energy than the sample of gas
Explanation:
Apex
<span>The wavelength of a wave is
A) how strong the wave is.
B) the distance between a peak of the wave and the next trough.
C) the distance between two adjacent peaks of the wave.
D) the distance between where the wave is emitted and where it is absorbed.
E) equal to the speed of the wave times the wave's frequency.</span><span>
the right answer is C
C) the distance between two adjacent peaks of the wave.</span>
Explanation:
It is known that relation between velocity and height is as follows.
v = ![\sqrt{2gh}](https://tex.z-dn.net/?f=%5Csqrt%7B2gh%7D)
where, g = acceleration due to gravity = 9.8 ![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
h = height = 0.2 m
Therefore, velocity is calculated as follows.
v = ![\sqrt{2gh}](https://tex.z-dn.net/?f=%5Csqrt%7B2gh%7D)
= ![\sqrt{2 \times 9.8 \times 0.2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%20%5Ctimes%209.8%20%5Ctimes%200.2%7D)
= 3.92 m/s
Also,
![m_{people}v_{people} = m_{earth}v_{earth}](https://tex.z-dn.net/?f=m_%7Bpeople%7Dv_%7Bpeople%7D%20%3D%20m_%7Bearth%7Dv_%7Bearth%7D)
![v_{earth} = \frac{m_{people}v_{people}}{m_{earth}}](https://tex.z-dn.net/?f=v_%7Bearth%7D%20%3D%20%5Cfrac%7Bm_%7Bpeople%7Dv_%7Bpeople%7D%7D%7Bm_%7Bearth%7D%7D)
Putting the given values into the above formula as follows.
![v_{earth} = \frac{m_{people}v_{people}}{m_{earth}}](https://tex.z-dn.net/?f=v_%7Bearth%7D%20%3D%20%5Cfrac%7Bm_%7Bpeople%7Dv_%7Bpeople%7D%7D%7Bm_%7Bearth%7D%7D)
= ![\frac{6 \times 10^{9} \times 74 kg/person}{6 \times 10^{24} kg}](https://tex.z-dn.net/?f=%5Cfrac%7B6%20%5Ctimes%2010%5E%7B9%7D%20%5Ctimes%2074%20kg%2Fperson%7D%7B6%20%5Ctimes%2010%5E%7B24%7D%20kg%7D)
= ![\frac{444 \times 10^{9}}{6 \times 10^{24}}](https://tex.z-dn.net/?f=%5Cfrac%7B444%20%5Ctimes%2010%5E%7B9%7D%7D%7B6%20%5Ctimes%2010%5E%7B24%7D%7D)
=
m/s
or, =
m/s
Thus, we can conclude that recoil speed of the Earth is
m/s.