Question

Derive the equation showing rate of change of momentum is proportional to applied force means F=ma​

Answer 1

Answer:

This statement of Newton’s second law of motion includes the more familiar Fnet = ma as a special case. We can derive this form as follows. First, note that the change in momentum Δp is given by Δp = Δ(mv).

If the mass of the system is constant, then Δ(mv) = mΔv.

So that for constant mass, Newton’s second law of motion becomes

Fnet = Δp/Δt = mΔv/Δt

​​ Because  

Δ v/ Δ t  =  a

, we get the familiar equation Fnet = ma when the mass of the system is constant.

Newton’s second law of motion stated in terms of momentum is more generally applicable because it can be applied to systems where the mass is changing, such as rockets, as well as to systems of constant mass. We will consider systems with varying mass in some detail; however, the relationship between momentum and force remains useful when mass is constant

Explanation:

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