Momemntum

momentum depends on

mass and velocity

momentum is a

vector

Momentum units

kg * m/s

Momentum Equation

mv

Relationship between impulse and movement

J = Δp

what is impulse

the change/slope of momentum

impulse is caused by

external forces

Relationship between a constant force and impulse

J = (mΔv) = FΔt

Units for impulse

N*S

relationship between impulse and a nonconstant force

J = ∫F dt

Work is the area under (integral)

force vs. position graph

work is dependent on

displacement and force

Work/energy principal eq CALC

ΔK=W=∫F dx

impulse/momentum principal eq CALC

Δp = J = ∫F dt

Force and momentum relationship nonconstant momentum CALC

F = dp/dt

force and constant momentum eq

F = Δp/Δt

Conservation of momentum 1D

pi=pf

when momentum is conserved for an isolated system, all interactions for an isolated system are

internal

for momentum to be conserved, then

all objects are in the system

elastic collision

Momentum and KE is conserved

equations for elastic collision

1/2mv²1i + 1/2mv²2i = 1/2mv²1f + 1/2mv²2f

P1i + P2i = P1f + P2f

head on elastic collision

objects move alone same straight line before and after collision

use this eq instead of KEi=KEf for head on elastic collision

v1i-v2i=v1f-v2f

equation of inelastic and perfectly inelastic eq

m1v1i + m2v2i = (m1 + m2)vf

what are collisions

objects that come togehther/interact

in a inelastic eq, since you can’t use KEi=KEf, use

defintion for KE=1/2mv² to find velocity

Impulse is the area under (integral)

force. vs. time graph