1. In this lab, we use the flipping of 200 pennies to simulate radioactive decay. sample in nature, there are many trillions of atoms undergoing radioactive decay. In the case of
natural samples, what fraction of atoms will remain after one half-life? Write a mathematical
expression(s) or describe in words (diagram) how you would relate the fraction of radioactive
atoms remaining to the number of half-lives that have elapsed in natural samples.

I uploaded the answer to a file hosting. Here's a link:

https://cutt.ly/wzdvC7R

the body's situation won't change the forces are equal opposit and on the same body

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.