Complete science reading
Virtual rather than physical collision tests
Real high-force impacts are hazardous and unnecessary for this course. We study a prescribed momentum change for a hypothetical object at low classroom numbers, then compare its mean force across different times. Students must not collide carts, drop weights onto padding, test protective gear on people or use these formulas as injury risk predictions.
A controlled matched trial
A 2 kg object goes from +3 m/s to −1 m/s, yielding Δp=2(−1−3)=−8 N·s. If this prescribed change happens in 0.20 s, the mean force is −40 N; at 0.80 s, mean force is −10 N. Mass, initial speed, final speed and total impulse are identical: only duration changes.
Add a force-profile comparison
For −8 N·s over 0.80 s, the equivalent rectangular pulse has force −10 N, while a symmetric triangular pulse has mean −10 N and peak −20 N. The toy force profile is independent of any actual collision material. State the waveform choice when discussing peak rather than assuming the mean equals maximum.
Scientific integrity and engineering criteria
A real engineering assessment would also require actual contact-force measurements, multiple axes, pulse duration definition, body deformation and relevant safety standards. In this virtual lesson we can prove impulse equality for chosen conditions, but cannot validate an actual padding system. Document model assumptions and a safer method of collecting future measured evidence.