M*U + 0 = m*v'1 + 2m*v'2
the zero means deuteron has no velocity
<span>where v'1 and v'2 are the post-collision velocities.
</span>The equatio becomes
<span>U = v'1 + 2v'2</span>
<span>U = v'2- v'1 </span>
<span>v'2 = U + v'1 </span>
<span>U = v'1 + 2(U + v'1) = 2U + 3v'1 </span>
<span>U = -3V </span>
<span>V = -U / 3 </span>
<span>The speed ratio is 1/3 </span>
<span>B) Since KE is proportional to the square of the speed, if the speed is 1/3, then KE is 1/9 </span>
<span>C) (1/3)ⁿ = 1/729 </span>
<span>3ⁿ = 729 </span>
<span>n = 6 </span>
First we can say that since there is no external force on this system so momentum is always conserved.




now by the condition of elastic collision
![v_{2f} - v_{1f} = 0.8 - 0[\tex]now add two equations[tex]3*v_{2f} = 1.6](https://tex.z-dn.net/?f=v_%7B2f%7D%20-%20v_%7B1f%7D%20%3D%200.8%20-%200%5B%5Ctex%5D%3C%2Fp%3E%3Cp%3Enow%20add%20two%20equations%3C%2Fp%3E%3Cp%3E%5Btex%5D3%2Av_%7B2f%7D%20%3D%201.6)

also from above equation we have

So ball of mass 0.6 kg will rebound back with speed 0.267 m/s and ball of mass 1.2 kg will go forwards with speed 0.533 m/s.
Answer and explanation;
In 1670 Gabriel Mouton, Vicar of St. Paul’s Church and an astronomer proposed the swing length of a pendulum with a frequency of one beat per second as the unit of length.
In 1791 the Commission of the French Academy of Sciences proposed the name meter to the unit of length. It would equal one tens-millionth of the distance from the North Pole to the equator along the meridian through Paris.It is realistically represented by the distance between two marks on an iron bar kept in Paris.
In 1889 the 1st General Conference on Weights and Measures define the meter as the distance between two lines on a standard bar that made of an alloy of 90%platinum with 10%iridium.
In 1960 the meter was redefined as 1650763.73 wavelengths of orange-red light, in a vacuum, produced by burning the element krypton (Kr-86).
In 1984 the Geneva Conference on Weights and Measures has defined the meter as the distance light travels, in a vacuum, in 1299792458⁄ seconds with time measured by a cesium-133 atomic clock which emits pulses of radiation at very rapid, regular intervals.
C. It acts perpendicular to the velocity and it's directed towards the center
hope this helps :)