Does the body’s impulse change when a force acts on it?

Let a body of mass m move uniformly and rectilinearly with a velocity v0. Then its impulse will be equal to p0 = m * v0.

Let us assume that the force F begins to act on this body during the time interval t. Then, according to Newton’s second law, this force will give the body an acceleration equal to a = F / m. And the acceleration, in turn, will change the speed of the body, which will become equal to:

v = v0 + a * t = v0 + F * t / m.

The momentum of the body after the end of the action of the force will become equal to:

p1 = m * v = m * (v0 + F * t / m) = m * v0 + F * t = p0 + F * t.

It can be seen from the resulting formula that the force acting on the body will change the initial impulse.

So the correct answer is yes, it does.



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