State and prove conservation of linear momentum by second law of motion
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Newton's 2nd law equation:
F = m × a
where "F" is force, "m" is mass and "a" is acceleration
To prove:
Conservation of Momentum
In other words, we have to prove that sum of changes of momentum of objects (concerned) is zero.
Proof:
F = m × a
=> F = m × (∆v/∆t)
=> F = (∆P/∆t),
where ∆P is the change of momentum
YOU HAVE TO USE NEWTON'S 3RD LAW TO PROVE THIS PART :
So let the objects concerned be "x" and "y".
So force (given by "x" on "y") is equal and opposite to force ( given by "y" on "x").
F (x⇒y) = - F (y⇒x)
=> ∆Px/∆t = - ∆Py/∆t
=> ∆Px = - ∆Py
=> ∆Px + ∆Py = 0
Conservation of Momentum proved.
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