Proved by Samip Regmi
Mass is equal to the product of work done by the body to the sqaure of the time taken by body divided by the square of the distance covered.
Then time is equal to distance covered by the root mass of body by the root of product of work.
Force = mass*acceleration
F =m*a
F =m*(v/t) {a=v/t}
F=m*v/t
w/d=m*v/t
w/d=m(d/t)/t
w/d=m*d/t/t
w/d=m*d/t²
wt² =m*d*d
wt²=m*d² where m=wt²/d²
Moreover deriving continuously, we get
w/m=d²/t²
w/m=(d/t)²
Sqaure rooting both the sides,
√ w/m=√(d/t)²
√w/√m=d/t
t√w=d√m
t=d√m/√w
t=d√m/√f*d
Here, m=wt²/d² mass is equal to the product of work done by the body to the sqaure of the time taken by body divided by the square of the distance covered.
Hence, If the above equation is really proved then t=d√m/√w then time is equal to distance covered by the root mass of body by the root of product of work.