Question

(a) Derive a mathematical form of Newton's Second Law o Motion in terms of acceleration. (b)Define the SI unit of force using this formula.

Answer 1

Dear Student

(a) Newton Second law of motion State that the net external force applied on an object is directly proportional to the rate of change of linear momentum of the object.

Let the external force be F, initial velocity be u, final velocity is v, the time interval bet.

=> p1(initial momentum ) = mu

p2(final momentum )= mv

Therefore, (rate of change of momentum)

Δp=(mv-mu)/t

According to newton’s IInd law, F α Δp

=>F =k * (mv-mu)/t { k=constant}

In S.I.Units, the value of k is 1

So. F= m(v-u)/t

=> F = ma

(b)
F=ma.
m unit is kg * m
a unit is s * s
kgm/s *s =N

Regards