Answers:
a) 222.22 m/s
b) 800.00 km/h
Explanation:
The speed of a wave is given by the following equation:
Where:
is the speed
is the frequency, which has an inverse relation with the period ![T=1 h](https://tex.z-dn.net/?f=T%3D1%20h)
is the wavelength
Solving with the given units:
This is the speed of the wave in km/h
Transforming this speed to m/s:
![v=800.00 \frac{km}{h} \frac{1 h}{3600 s} \frac{1000 m}{1 km}](https://tex.z-dn.net/?f=v%3D800.00%20%5Cfrac%7Bkm%7D%7Bh%7D%20%5Cfrac%7B1%20h%7D%7B3600%20s%7D%20%5Cfrac%7B1000%20m%7D%7B1%20km%7D)
This is the speed of the wave in m/s
The ratio of their amplitudes will be 2.41.
To find the answer, we have to know more about the simple harmonic motion.
<h3>How to find the ratio of their amplitudes?</h3>
![E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2](https://tex.z-dn.net/?f=E_1%3D5.8E_2%5C%5Cm_1%3Dm_2%20%5C%5C%5Comega_1%3D%5Comega_2)
- We have the relation between these quantities and amplitudes as,
![A=\sqrt\frac{2E}{k} \\k=m\omega^2](https://tex.z-dn.net/?f=A%3D%5Csqrt%5Cfrac%7B2E%7D%7Bk%7D%20%5C%5Ck%3Dm%5Comega%5E2)
- Here, for both the oscillation, k will be same.
- Thus, the ratio of amplitude will be,
![\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41](https://tex.z-dn.net/?f=%5Cfrac%7BA_1%7D%7BA_2%7D%20%3D%5Csqrt%7B%5Cfrac%7BE_1%7D%7BE_2%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B5.8E_2%7D%7BE_2%7D%20%7D%20%3D2.41)
Thus, we can conclude that, the ratio of their amplitudes will be 2.41.
Learn more about simple harmonic motion here:
brainly.com/question/22422926
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The specific heat of mercury is 149.4 J/(kgK)
Explanation:
When a substance is supplied with an amount of energy Q, its temperature increases according to the equation:
![\Delta T=\frac{Q}{mC_s}](https://tex.z-dn.net/?f=%5CDelta%20T%3D%5Cfrac%7BQ%7D%7BmC_s%7D)
where
is the increase in temperature
m is the mass of the sample
is its specific heat capacity
For the sample of mercury in this problem we have
Q = 275 J
m = 0.450 kg
![\Delta T = 4.09 K](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%204.09%20K)
Therefore, by re-arranging the equation we find the mercury's specific heat:
![C_s = \frac{Q}{m\Delta T}=\frac{275}{(0.450)(4.09)}=149.4 J/(kgK)](https://tex.z-dn.net/?f=C_s%20%3D%20%5Cfrac%7BQ%7D%7Bm%5CDelta%20T%7D%3D%5Cfrac%7B275%7D%7B%280.450%29%284.09%29%7D%3D149.4%20J%2F%28kgK%29)
Learn more about specific heat capacity:
brainly.com/question/3032746
brainly.com/question/4759369
#LearnwithBrainly
A solar eclipse occurs when the moon crosses in front of the Sun, blocking some or all of its rays. A lunar eclipse happens when the moon is directly behind the earth, blocking the moon from receiving light. The only light comes from the light on earth's reflected shadow.
You can look at a lunar eclipse because there is very little light or none at all. You can't look at a solar eclipse because you are looking directly at the sun unless it is complete. Before totality, only some of the Sun is blocked, causing your pupils dilate to let in more light. Since they do this, more of the Sun's rays can be let in to the eye, which effectively allows your eyes to burn.
Some doctors and eye care specialists say that after someone complains of blindness after looking at a solar eclipse unaided, they can see what the Sun and moon looked like at the time that they looked at it, as it is burned onto their retinas.
<span>In chemistry and physics, the atomic theory explains how our understanding of the atom has changed over time. Atoms were once thought to be the smallest pieces of matter. The first idea of the atom came from the Greek philosopher Democritus. Hope I helped!!</span>