Olympiad exercises: Dimension 2

A vibrating guitar string moves with velocity v which is influenced by the following quantities:
- Force (F) with dimensions (MLT-2)
- The mass of rope (m) with dimensions (M)
- The length of rope (l) with dimensions (L)
Determine the equation of the velocity of a vibrating object on the strings?

Olympiad exercises: Dimension 1

Initial pace (vo) of an object thrown vertically upward associated with a height that can be accomplished masksimum (h).

You forgot the exact formula but you sure one of these formulas are true:. Use dimensional analysis to determine the correct formula?

tips:

answer :

 Analysis of formulas (equations) of physics are correct with dimensional analysis:

(i) analysis to the first point

 

so this not true.

(ii) analysis for the second point

and so this not true

(iii) analysis to the third point

 this is true