The bridge
Two lessons, one equation: — the impulse-momentum theorem, read aloud F delta-t equals delta p. On the left, a force in newtons held for a time in seconds. On the right, , the change in momentum in , which is : the mass in kilograms times the velocity it gained or lost, where is the velocity before and the velocity after. Something brought to rest loses all of it, so in size.
Work it in that order — momentum change first, force second — and the physics reads itself: . Same , a longer stop, a smaller force. One warning that costs more marks than any concept here: contact times arrive in milliseconds, and milli means a thousandth — . Feed the raw 20 into the division and your force comes out a thousand times too gentle, which is exactly the direction that makes a dangerous design look safe. Estimate the order of magnitude first, every time; the estimate catches the slip before the marker does.