Question

Define momentum . State the Newton's second law of motion that isrelated to momentum of the body and derive a formula for the force by using the concept of momentum.​

Answer 1

Answer:

Momentum is defined as a vector quantity mathematically equal to the product of mass of an object and it's instantaneous velocity.

Newton's Second Law states that the rate of change of linear momentum of a body is equal to the net external force on the object.

Which mathematically means,

If

P = mv

where P is denoted for momentum.

Therefore,

∆P/∆t = F(ext)

So,

∆P = m∆v if the mass of the object is considered to be invariant of the considered analysis.

Therefore,

F(ext) = m∆v/∆t = ma

where, a is the acceleration of the body.

Note as a brilliant fact :

Newton's Second Law isn't F(net ext) = ma !!

It's actually

F(net ext) = ∆P/∆t

It's just that for our normal life events we don't consider a significant effect of change in mass,

So, we consider mass to be invariant and hence say that F(net ext) = ma

Hope this helps you !

Answer 2

$\huge{\mathsf{\green{MOMENTUM}}}$

<> "Momentum" can be defined as the PROPERTY of a "Moving object" to continue its "MOTION"

<> Momentum can also be defined by its FORMULAE

$\boxed{\pink{p = mv}}$

p : $\green{momentum}$

Momentum is the product of $\blue{mass (m) }$ and $\blue{velocity (v) }$ of a "MOVING BODY"

If there is change in the momentum

then it is represented as Δp

$\boxed{\pink{Δp = mΔv}}$

here, mass is constant!