Based on internet sources, <span>the basic formulas are: v^2/r = (at)^2/r = a ==> at^2 = r ==> t = sqrt(r/a).
</span>
<span>Assuming the missing units are mutually compatible, as in the following example, they don't need to be known. </span>
<span>Acceleration = 1.6 cramwells/s^2 </span>
<span>Radius = 150 cramwells </span>
<span>t = sqrt(150/1.6) = 9.68 s.
I hope this helps.</span>
Answer:
Seismic waves cause Earthquakes by shaking the ground aggressively and dangerously. These waves are usually calculated on a seismograph to calculate how hard the earthquake hit that area. A transform Boundary creates the tension when the tectonic plates gets stuck. It stays stuck for a long period of time. Then, at one point, the tectonic plates become unstuck which releases the tension into waves which are called seismic waves. Hope I answered you question.
Answer:
2s
Explanation:
Given parameters:
Distance = 30m
Speed = 15m/s
Unknown:
Time before Laurence caught it = ?
Solution:
To solve this problem;
Speed =
Time taken =
=
= 2s
The time it takes is 2s
Answer:
Radio waves have a wavelength between
and ![10^{-12}m](https://tex.z-dn.net/?f=10%5E%7B-12%7Dm)
While,
X rays have a wavelength between 1m and 10km.
=> It is one of the condition of diffraction that the obstacle (coming in the way) must be comparable with the size of the wavelength.
=> This shows, that radio waves have a wavelength which is comparable with the size of buildings and can really easily diffract through it
=> While, X-rays are big enough to diffract through the wall.
So, if an X-ray technician stands behind a wall during the use of her machine, she will remain safe.
The speed of the block when the compression is 15 cm is 9.85 m/s.
The given parameters;
- <em>mass of the block, m = 2.4 kg</em>
- <em>height of the block, h = 5 m</em>
- <em>compression of the spring, x = 25 cm = 0.25 m</em>
The spring constant is calculated as follows;
![F = kx\\\\mg = kx\\\\k = \frac{mg}{x} \\\\k = \frac{2.4 \times 9.8}{0.25} \\\\k = 94.08 \ N/m](https://tex.z-dn.net/?f=F%20%3D%20kx%5C%5C%5C%5Cmg%20%3D%20kx%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7Bmg%7D%7Bx%7D%20%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B2.4%20%5Ctimes%209.8%7D%7B0.25%7D%20%5C%5C%5C%5Ck%20%3D%2094.08%20%5C%20N%2Fm)
The speed of the block when the compression is 15 cm can be determined by applying the principle of conservation of energy;
![\Delta K.E = \Delta P.E\\\\\frac{1}{2} m(v^2 - v_{0 }^2 ) = mgh - \frac{1}{2} kx^2\\\\\frac{1}{2} mv^2 = mgh - \frac{1}{2} kx^2\\\\mv^2 = 2mgh - kx^2\\\\v^2 = \frac{2mgh - kx^2}{m} \\\\v = \sqrt{\frac{2mgh - kx^2}{m}} \\\\v = \sqrt{\frac{(2 \times 2.4 \times 9.8 \times 5) - (94.08 \times 0.15^2)}{2.4}} \\\\v = 9.85 \ m/s](https://tex.z-dn.net/?f=%5CDelta%20K.E%20%3D%20%5CDelta%20P.E%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%20m%28v%5E2%20%20-%20v_%7B0%20%7D%5E2%20%29%20%3D%20mgh%20-%20%5Cfrac%7B1%7D%7B2%7D%20kx%5E2%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%20mv%5E2%20%20%3D%20mgh%20-%20%20%20%5Cfrac%7B1%7D%7B2%7D%20kx%5E2%5C%5C%5C%5Cmv%5E2%20%20%20%3D%202mgh%20-%20kx%5E2%5C%5C%5C%5Cv%5E2%20%3D%20%5Cfrac%7B2mgh%20-%20kx%5E2%7D%7Bm%7D%20%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B%5Cfrac%7B2mgh%20-%20kx%5E2%7D%7Bm%7D%7D%20%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B%5Cfrac%7B%282%20%5Ctimes%202.4%20%5Ctimes%209.8%20%5Ctimes%205%29%20-%20%2894.08%20%5Ctimes%200.15%5E2%29%7D%7B2.4%7D%7D%20%5C%5C%5C%5Cv%20%3D%209.85%20%5C%20m%2Fs)
Thus, the speed of the block when the compression is 15 cm is 9.85 m/s.
Learn more here:brainly.com/question/14289286