A130 g bullet is fired from a rifle having a barrel 0.560 m long. assuming the origin is placed where the bullet begins to move, the force (in newtons) exerted by the expanding gas on the bullet is 11000 + 13000 x - 28000 x 2, where x is in meters.
a) determine the work done by the gas on the bullet as the bullet travels the length of the barrel.
b) what if? if the barrel is 1.00m long , how much work is done, and how does this value compare with thework calculated in part a)?

Explanation:

Given

mass of bullet

Length of barrel

Force

Work done

(b)  When barrel is 1 m long

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.