The Conservation Theorem for the Linear Momentum of a Particle statesthat linear momentum, p, is conserved if the total force F, is zero. The change is -V.Įnergy Conservation Theorem for a Particle: If forces acting on a particleare conservative, then the total energy of the particle, T + V, is conserved. This quantity is potential energy.Work is now V1 − V2. To express workin a way that is independent of the path taken, a change in a quantity thatdepends on only the end points is needed. The capacity to do work that a body or system has by viture of is positionis called its potential energy. If friction is present, a system is non-conservative. Independence of W12 on the particular path implies that thework done around a closed ciruit is zero:∮ In most cases, mass is constant and work simplifies to:ĢThe work is the change in kinetic energy.Ī force is considered conservative if the work is the same for any physicallypossible path.
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