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⚡ CONSERVATIVE FORCE FIELD

GRAVITATIONAL FIELD · NET WORK = ZERO FOR CLOSED PATH · ENERGY CONSERVATION

GRAVITATIONAL FIELD SIMULATION
▸ CURRENT STATE
READY
HEIGHT (m)
0.00
VELOCITY (m/s)
0.00
DISPLACEMENT (m)
0.00
ANGLE (°)
0.0°
▸ ENERGY MONITOR (J)
KINETIC ENERGY 0.00 J
POTENTIAL ENERGY 0.00 J
TOTAL ENERGY 0.00 J
⚡ LAUNCH: Ball is given initial KE = 0.00 J (v₀ = 0.00 m/s) at ground level so it can clear all hills. At start: PE = 0, KE = Etotal.
▸ WORK DONE BY GRAVITY
-Wmax W = 0.00 J +Wmax
Going UP a hill → gravity opposes → NEGATIVE work (slider left)
Coming DOWN a hill → gravity aids → POSITIVE work (slider right)
Full loop start→end: same height → NET WORK = 0
▸ ENERGY vs TIME
For a conservative force, the work done depends only on the start & end points — not the path taken. ∮ F⃗ · dr⃗ = 0 For a complete round trip, net work = 0, and total mechanical energy is conserved.
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