The amplitude of vibration for the sphere will be 29.48 nm.
<h3 /><h3>What is amplitude?</h3>
The distance between from the crest of a wave to the next crest is known as the amplitude.
The amplitude of the sphere is;
![\rm A= \frac{\delta_0}{[1-(\frac{\omega}{\omega_n}^2]} \\\\](https://tex.z-dn.net/?f=%5Crm%20A%3D%20%5Cfrac%7B%5Cdelta_0%7D%7B%5B1-%28%5Cfrac%7B%5Comega%7D%7B%5Comega_n%7D%5E2%5D%7D%20%5C%5C%5C%5C)
The stiffness of the load is;

The natural frequency is;

Put the obtained values in the amplitude formula;
![\rm A= \frac{0.015}{[1-(\frac{4 \pi}{17.93}^2]} \\\\ A= 0.02948 \\\\ A= 29.48 \ nm](https://tex.z-dn.net/?f=%5Crm%20A%3D%20%5Cfrac%7B0.015%7D%7B%5B1-%28%5Cfrac%7B4%20%5Cpi%7D%7B17.93%7D%5E2%5D%7D%20%5C%5C%5C%5C%20A%3D%200.02948%20%5C%5C%5C%5C%20A%3D%2029.48%20%5C%20nm)
Hence,the amplitude of vibration for the sphere will be 29.48 nm.
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Since energy is lost in the roller coaster due to friction, the hill should little lower than the starting height since some of the kinetic energy at the bottom of the first hill is lost due to friction so it will not have as much potential energy at the top of the next hill.
A roller coaster is a good way to demonstrate the principle of conservation of energy. Recall that energy is neither created nor destroyed but can be converted from one form to another.
In a roller coaster, all the heights are not the same because energy is lost along the line. Therefore, the students must bear in mind that the hill should be at least a little lower than the starting height because some of the kinetic energy at the bottom of the first hill will be converted to other types of energy due to friction so it will not have as much potential energy at the top of the next hill.
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Velocity
if you change direction, say turn around, so does your velocity
an increase in velocity is called accelleration
With an average surface temperature of about 737 K, Venus is the hottest planet.
While Mercury is closest to the sun, it has gaseous molecules that protect it. Venus is the second closest planet to the sun, and is the hottest planet.