Question

If the unit of force energy and velocity are 20 N, 200J and 5m//s, find the units of mass, length and time.

Answer 1

Here, `F = MLT^(-2) =20N…..(i)`
`E = ML^2 T^(-2) = 200J …..(ii)`
`upsilon -LT^(-1) = 5m//s …..(iii)`
`(E )/(F) = (ML^2T^(-2))/(MLT^(-2)) = (200)/(20) or L = 10m`
From (iii), `10 T^(-1) = 5 or T = (10)/(5) =2s`
From (i), `M (10)(2)^(-2) =20,`
`M = (20xx4)/(10) = 8kg`