Impulse and Momentum

1. Derive the Impulse formula using calculus.

Dp = pf – pi = ò F dt

2. Use the Derivation to solve problems that relate to momentum , force and impulse

3. Create an Impulse- momentum AP Physics Problem.

Lesson 2 : Impulse and Momentum

SF =d(mv)

dtdp

=dt

dp = F dt

Integrating F with respect to t,

Dp = pf – pi = F dttf

ò

ti Impulse (J)

F dt

tf

ò

ti

J =

Impulse – Momentum Theorem

Dp = pf – pi = F dttf

ò

ti

The impulse of the force F acting on a particle equals the change in the

momentum of the particle.

J = Dp

Table of Indefinite Integrals

a. f(t) =6t5 b.p’(t) =t999 c.

POWER RULE PRACRICE

34dy

tdt

a. If f(t) =6t5 , then J= t6

b.If p’(t) =t999, then P(t)= t1000 /1000c. If, then y = t4

SolutionsPOWER RULE

34dy

tdt

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