3 - momentum and collisions Flashcards
momentum
mass * velocity
in kgms^-1
impulse
Force*time = change in momentum
I = Ft = mv- mu
measured in Ns
contact and impulse
at the time of contact for which the collision force acts the same for both balls - impulse is the same but in opposite directions
(total I = 0)
conservation of linear momentum
total momentum before collisions = total momentum after
combining masses
when objects move of together or coalesce they combine into one object (masses add)
modelling collisions assumptions
- spheres are smooth
- impulse acts along the line of centres
- non of the spheres are spinning
perfectly elastic collision
no KE is lost from the system
total KE will remain the same
perfectly in elastic collision
spheres coalesce
momentum is conserved
maximum KE is lost
neither elastic or in elastic
momentum is conserved and some KE is lost but they don’t coalesce
coefficient of restitution
speed of separation/ speed of approach = e
v2 - v1/ u1 - u2 = e
0<= e<= 1
depends of the material properties of the object
if e = 1
there is no loss of KE
perfectly elastic collision
if e = 0
maximum loss of KE
inelastic collision
for collisions between moving and fixed objects
-v1/ u1 = e
v = -eu