The formula Δp/Δt = −ΔEP/Δs incorporates a negative sign to indicate the relationship between changes in kinetic energy (ΔKE) and potential energy (ΔPE). This relationship is grounded in the principle of energy conservation, where a loss in potential energy corresponds to an equal gain in kinetic energy, expressed as ΔKE + ΔPE = 0. The force magnitude is derived from the rate of change of kinetic energy with respect to distance, leading to the formulation |F| = -ΔPE/Δs.
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If energy is conserved, there is no overall change in energy. So, when potential energy is lost, the same amount of kinetic energy is gained and vice versa: ΔKE + ΔPE = 0 or ΔKE = - ΔPE.S1CkFiSh said:Why is there a minus sign in the formula Δp/Δt = −ΔEP/Δs? Is it because the objects are accelerated toward or away from a higher potential, or is it something else? If anyone could help me, thank you!