The Pressure Point
P = F/A — sharp knives and wide straps
What this lesson covers
Why it matters
A woman in stilettos dents a wooden floor an elephant walks over safely. Force isn't the whole story — it matters how much floor each newton gets.
The idea in plain words
Force per area. Tap the terms.
P = F ÷ A
A 30 kg school bag (g = 10): strap 3 cm wide vs 1 cm. Compare shoulder pressure.
Wide strap: one-third the pressure, three times the comfort
- pascal (N/m²): P — pressure — how concentrated the push is
- sharp design: small A — knives, needles, nails — cut and pierce by concentration
- broad design: large A — wide straps, foundations, tank tracks, camel feet — comfort by spreading
- Same F = 300 N; area triples with the wide strap
- P falls to one-third
Predict first
Same person, boots vs snowshoes. On snow, the snowshoes…
P = F/A. The weight is fixed; the AREA is your choice — and pressure obeys the ratio.
- spread the same force over more area — less pressure, no sinking — correct
- press harder — they're bigger
- make the person lighter
What you do
Slide from stiletto to snowshoe: punch through the snow, then float on it — same 600 N throughout.
Check yourself
Nails are pointed so that…
Concentration is penetration — the whole hammer blow lands on a pinpoint.
Tanks and bulldozers use wide tracks instead of wheels to…
Tonnes spread over metres of track — the machine 'snowshoes' across mud.
Pressure is measured in…
1 Pa = 1 N spread over 1 m² — a whisper of a unit; real life uses kPa.
- a small tip area turns your hammer force into enormous pressure — correct
- they look sharp
- they weigh less
- lower the ground pressure and avoid sinking in soft soil — correct
- go faster
- carry more fuel
- pascal — correct
- newton
- joule