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One-Dimensional Collisions

This average force is the constant force delivering

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Unformatted text preview: rce described in Figure 1. This average force is the constant force delivering the same impulse to the object in the time interval Δt as the actual time-varying force. We can then write the impulse-momentum theorem as ∆ ∆ (9) 2.2 Conservation of Momentum When two bodies interact with one another in the absence of any net external influence, or force, the loss in the momentum of one body equals the gain in momentum of the second body. Or, stating this differently, the total change in momentum of the two bodies is zero. We can, therefore, think of a collision as the process in which momentum is transferred from one body to another, with no change in the total momentum of the system. Thus, if p1 is the momentum of body 1 and p2 is the momentum of body 2, the one body interacting with the other in the absence of net external forces, the total momentum of the system, is constant. In other words: If no net external force acts on a system of particles, the total linear momentum of the system cannot change. This result is called the law of con...
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