A force, held
A force on its own changes nothing until it lasts. Multiply it by how long it acts and you get the impulse: , read aloud J equals F delta-t — is the Greek letter delta, said “delta”, and it always means “the change in”, so is the length of the contact in seconds. is the impulse and is the average force in newtons — average, because the real force during a bat's swing or a bumper's crush spikes and collapses in a shape nobody wants to integrate at 8 a.m.
Now look at impulse's unit: , which is — momentum's unit exactly. That is not a coincidence, it is the next lesson's headline: an impulse IS a delivery of momentum. And it is why airbags exist. The momentum your body has to lose in a crash is fixed by your mass and the car's speed; the only thing an engineer can buy you is . Stretch the stop from 5 ms to 100 ms and the same arrives with one-twentieth the force. Bend your knees when you land — you have been solving this equation since you were a toddler.