PHYS 101 Lecture Notes - Lecture 18: Inelastic Collision

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PHYS 101: Physics for the Life Sciences Lecture 18:
Momentum and Collisions
Recall:
V1f=[m1m2]
[m1+m2]V1i+[2m2]
[m1+m2]V2i
V2f=[m2m1]
[m1+m2]V2i+[2m1]
[m1+m2]V1i
If m1 = m2 then
V1f=V2i
and
V2f=V1i
Example:
A car of mass 1800 kg is stopped at a traffic light, the car is struck from behind by a 900
kg car, they become entangled(locked together). The 900 kg car was travelling at 20 m/s
before the collision. Calculate the velocity of the entangled cars after the collision. Note:
this is a perfectly inelastic collision.
Pi=m1V1i+m2V2i
Pi=(900)(20)+(1800)(0)
Pi=18000
Pf=(m1+m2)Vf
Pf=(900+1800)Vf
Pf=2700 Vf
18000=2700 Vf
Vf=6.67 m/s
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