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Conservation of Momentum Situations
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<=
=>
Two objects push apart from each other.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
Something is thrown, launched, or shot.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A person starts walking on a boat.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
How a rocket moves.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
Two objects collide and do not stick together.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A head on collision when both objects are moving independently afterwards.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A rear end collision when the objects do not stick together.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A projectile is shot through a moving object.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
Two objects collide and stick together.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A headon collision when the objects attach during the collision.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A rear end collision in which the objects get tangled up together.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A projectile hits and sticks into an object.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A moving object splits apart.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A moving object explodes.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
Two moving people holding onto each other push off and move apart.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A person throws a ball while moving.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A running football player catches the football.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
Two moving objects collide, stick, and stop.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A moving object is pushed by a force and speeds up.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A moving object is slowed down by a force.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
A projectile is shot through a nonmoving target.
?
0 = p
1a
+ p
2a
?
p
1b
+ p
2b
= p
1a
+ p
2a
?
p
1b
+ p
2b
= p
a1+2
?
p
b1+2...
= p
1a
+ p
2a
...
?
p
1b
+ p
2b
= 0
?
p
1b
± I = p
1a
OK
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