Question

multiple choice question
which law leads to the impulse-momentum theorem?

newtons first law
newtons third law
all of newtons laws
newtons second law

Explanation:

The impulse - momentum theorem states that the impulse applied to an object is equal to the change in its momentum. Newton's second law is \(F = ma\), and by re - expressing acceleration as \(a=\frac{\Delta v}{\Delta t}\), we get \(F=\frac{\Delta p}{\Delta t}\) (since \(p = mv\) and \(\Delta p=m\Delta v\)). Rearranging this gives \(F\Delta t=\Delta p\), where \(F\Delta t\) is impulse and \(\Delta p\) is the change in momentum. Newton's first law is about inertia, and Newton's third law is about action - reaction pairs, neither of which directly lead to the impulse - momentum theorem.

Answer:

D. Newton's second law (assuming the options are labeled as A. Newton's first law, B. Newton's third law, C. all of Newton's laws, D. Newton's second law)