Question

Which fundamental units are involved in force do step Wise ​

Answer 1

Force = ma

We know, the unit that the S.I. unit of mass is Kg.

We also know that a = (v - u)/t.

We know that v = d/t and u = d/t and the S.I. unit of t(time) is s.

We know that the S.I. unit of d(displacement) is m.

So, the S.I. unit of v is m/s and the S.I. unit of u is m/s and the S.I. unit of t is s.

So, the S.I. unit of a is m/s×s or m/s²

So, the unit of force is

(unit of m) × (unit of a)

= kg × (m/s²)

= kg.m/s²

=

`kg \: m \: {s}^( - 2)`

Or more simply,

F = ma

=> F = m{(v-u)/t}

Putting units,

Newton = kg[{(m/s) - (m/s)}/s]

=> Newton = kg{(m/s)/s}

=> Newton = kg(m/s²)

=> Newton = kg.m/s²

=> Newton = kg.m.(s^-2)