Question

State Newton's second law of motion; Hence derive the equation of motion F=ma from it.​

Answer 1

Explanation:

In equation form, Newton's second law of motion is a=Fnetm a = F net m . This is often written in the more familiar form: Fnet = ma. The weight w of an object is defined as the force of gravity acting on an object of mass m.

Answer 2

Newton’s second law of motion states 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 be v, the time interval be t.

=> 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 is a constant }

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

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

=> F = ma

Hence proved