An external force is required to change the momentum of a body, but action and reaction forces acting within do not affect any change in the momentum of the body
If no external force acts on a body, its momentum will not change
Momentum conservation
The total momentum before a collision is equal to the total momentum after a collision
The momentum gained by one object in a collision is of equal magnitude but opposite direction to the momentum gained by the other object
Solving conservation of momentum problems
1. Write the equation for conservation of momentum
2. Substitute the given values
3. Solve for the unknown
Sample problems on conservation of momentum
Collision of two trucks
Collision of two identical balls
Two ice skaters pushing off
The velocity of the blue ball after collision is 0.5 m/s
The momentum of the boy-girl system is conserved
There is no change in the momentum of the system before and after the push off
The mass of the girl is 46 kilograms
Lighter skateboarder
65 kg
Heavier skateboarder
85 kg
Lighter skateboarder velocity
3.2 m/s
The momentum of an isolated system is always conserved no matter what kind of force is acting inside the system
If the velocity of a single particle is zero, its momentum must be zero
Rockets work on the principle of conservation of momentum
The total momentum before a collision is equal to the total momentum after a collision