BeginnerTopic 31 of 106Engineering Mechanics
Impulse and momentum
Impulse equals change of momentum; useful for impacts.
In depth
Linear momentum p=mv; impulse J=∫F dt=Δp. A longer impact time reduces average force, explaining airbags and crumple zones. Momentum is conserved for a system with no external impulse.
Key points
- Vector quantity
- Impulse = area under F-t graph
- Rocket thrust follows from momentum change
ExampleA 0.15 kg ball changing speed by 40 m/s in 5 ms experiences 1200 N average force.
Impulse and momentum handle short, large forces such as impacts, where the force history is hard to know but its integral is easy to measure.
What is Impulse and momentum?
Impulse equals change of momentum; useful for impacts.
Why is it important to understand impulse and momentum?
Impulse and momentum handle short, large forces such as impacts, where the force history is hard to know but its integral is easy to measure.
Why does a padded surface reduce injury?
A longer contact time reduces the average force for the same change in momentum, because impulse is the force times the time.
What is the difference between momentum and impulse?
Momentum is mass times velocity. Impulse is the change in momentum, equal to the time integral of the force.
How is Impulse and momentum used in practice?
Typical applications include estimating the average force of a golf ball hitting a club, designing a bumper that absorbs the momentum of a moving cart and computing the thrust from a rocket that expels mass at speed.
What should I learn before Impulse and momentum?
Study "Power" first (topic 30 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Impulse and momentum?
Vector quantity. Impulse = area under F-t graph. Rocket thrust follows from momentum change.
Can you give an example of Impulse and momentum?
A 0.15 kg ball changing speed by 40 m/s in 5 ms experiences 1200 N average force.
What comes after Impulse and momentum?
The next topic is "Collisions", which builds directly on this one.
How difficult is Impulse and momentum?
It is classed as Beginner in Engineering Mechanics (topic 31 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.