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Part of JME-03 — Work, Energy & Power

Conservative vs Non-Conservative Forces

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Conservative forces (gravity, spring, electrostatic) have path-independent work, zero work in closed loops, and allow PE to be defined. F = -dU/dx links force to PE.

Non-conservative forces (friction, air resistance) have path-dependent work, non-zero work in loops, and dissipate energy. No PE function exists for them.

When only conservative forces act: E_mech = KE + PE = constant. When non-conservative forces also act: delta_E_mech = W_nc (energy is lost to heat/sound).

Identifying force type is crucial for choosing the right approach: energy conservation (conservative only) or the generalized work-energy theorem (any forces).

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