Relationship between Velocity, Kinetic Energy and Mass

1. The problem statement, all variables and given/known data



2. Relevant equations
i) F=ma=mv/t
ii) E=mv²/2

3. The attempt at a solution
Now based on equation 1 , I have concluded that the velocity gained is inversely proportional to m, and that so is the kinetic energy , I have seen otherwise.

 

Oh hmmmm, x=at^2/2, which means, a=2x/t^2, which means that mv/t=2mx/t^2=F, so does this mean they are independent , I am sorry , I am a little weak.Could you please elaborate?

 

I think I see something , the energy gained by the system would be Fd=mad, so this implies that mv^2/2=mad, v^2/2=ad, so this would mean the kinetic energy is independent of m ? Further a=F/m , v=sqrroot(Fd/m), does that mean v varies in an inverse proportion with sqrt(m)

 

Sir ?

 

Thank you so much sir , I get it now

 

Hmmmmm

 

Right , I get back the same place sir, thank you so much sir , that helped alot.

 

lol "hmmm" as in intriguing