An optical trap pulls the bead back toward center with a force equal to stiffness times displacement, so the restoring arrow always points opposite the displacement. With stiffness 2 N/m and displacement 3 m, the force magnitude is 2 times 3 = 6 N exactly for the stated toy force ledger; real traps need stiffness calibration, drag and thermal noise handling, bead-size effects, alignment, and measurement uncertainty.

A calibrated trap produces a restoring force with checked magnitude. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Trap stiffness turns displacement into force

Use stiffness 2 newtons per metre with displacement 3 metres.

2⋅32\cdot3
Trap force ledgerMeasured bead displacement and calibrated stiffness set restoring force.trapbeaddisplacementforce

The restoring force points back

The force magnitude is 6 newtons, and the arrow points back toward the trap center.

2⋅3=62\cdot3=6
Trap force ledgerMeasured bead displacement and calibrated stiffness set restoring force.trapbeaddisplacementforce