PEIRASTES v1 · PSE-I
SPRING·FRICTION LAB
Can the spring launch the block? · PSE-I Core 5
Energy ledger · Break-free test · The meaning of a negative answer
Projects
No launchSet the parameters and press Launch.

Energy ledger (over Δx)

1.0 J
Spring PE
½kΔx²
2.9 J
Friction toll
μₖmgΔx
Spring's peak push  kΔx
20 N
Max static friction  μₛmg
29 N
Launch speed²  v²
−0.39 m²/s²
Max speed  v
Coast distance  d

Parameters

Try this: the defaults (k=200, m=10) can't launch — the spring's push (20 N) loses to friction (≈29 N). Slide k up toward ~2000 and watch v² flip positive and the block fly. That negative v² wasn't an error — it was the physics saying "this never moves."