impulse and momentum 1. derive the impulse formula using calculus. p = p f – p i = f dt 2. use...
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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
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