Impulse and Momentum

Impulse and Momentum 1. Derive the Impulse formula using calculus. Dp= pf – pi = òF dt 2. Use the Derivation to solve problems that relate to momentum , force and impulse 3. Create an Impulse- momentum AP Physics Problem.

d(mv) dp SF = = dt dt tf ò Dp = pf – pi = F dt Impulse (J) tf ti ò J = F dt ti Lesson 2 : Impulse and Momentum dp = F dt Integrating F with respect to t,

The impulse of the force F acting on a particle equals the change in the momentum of the particle. tf ò Dp = pf – pi = F dt ti J = Dp Impulse – Momentum Theorem

Table of Indefinite Integrals

POWER RULE PRACRICE • f(t) =6t5 • p’(t) =t999

POWER RULE Solutions • If f(t) =6t5 , then J= t6 • If p’(t) =t999, then P(t)= t1000 /1000 • If, then y= t4

Example • Let p’(t) = 2t3+ t = F(t) • Then the Integral is ½ (t4 + t2) Yep it’s that simple……

Now you make up a function • F(t) = • Take the Integral • J = Impulse

Impulse and Momentum