Question

If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of mass in this system of units?

Answer 1

Given: Dimension of force (F) = 100 N

Length (L) = `[L]` = 10 m 

Time (t) = `[T]` = 100 s  

To find: M = ?

Formula: F = `[MLT^-2]`

[M] = `([F])/([LT^-2])`

[M] = `([FT^2])/([L])`

⇒M = `(100 xx (100)^2)/(10)`

M = 10⁵ kg