Glossary · Physics simulation

Newton (unit)

Also called N, force, impulse

The SI unit of force. One newton accelerates one kilogram by one metre per second, every second. A 77 kg person weighs about 755 N.

A newton (N) is the force that gives a mass of 1 kg an acceleration of 1 m/s²:

1 N=1 kg⋅m/s21\ \text{N} = 1\ \text{kg} \cdot \text{m/s}^2

Gravity on Earth pulls with g≈9.81g \approx 9.81 N on each kilogram. So a mass mm weighs F=mgF = m g:

77 kg×9.81 m/s2≈755 N77\ \text{kg} \times 9.81\ \text{m/s}^2 \approx 755\ \text{N}

Some forces for scale

forceroughly
10 Nholding a 1 kg bag of sugar
50 Na firm poke
600 Nthe weight of a 61 kg person
860 Nthe weight of an 88 kg person: more than the fighter’s own weight

Impulse

How much a shove moves a body depends not only on its force but on how long it lasts. Force times time is the impulse, and it equals the change in momentum:

J=F Δt=m ΔvJ = F\,\Delta t = m\,\Delta v

A brief 860 N shove for 0.15 s has an impulse of about 130 N·s. On a 77 kg body that’s a change in speed of about 1.7 m/s.

In this project

Shove forces are given in newtons. They range from 30 N up to a top force set by the curriculum, Fmax⁡=80+520⋅levelF_{\max} = 80 + 520 \cdot \text{level}: 600 N at level 1.0 and 860 N at level 1.5 (see push recovery).

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