A wooden crate is pushed along a rough horizontal warehouse floor

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A wooden crate is pushed along a rough horizontal warehouse floor, then brought back to its starting point along the same straight-line path. During both legs of the trip, a constant kinetic-friction force of magnitude FfF_f acts opposite the direction of motion. (a) Describe two essential characteristics that distinguish conservative forces from nonconservative forces, using precise physics terminology. (b) For the closed round-trip described, state whether the total work done by the kinetic-friction force is positive, negative, or zero. Explain your reasoning without making a numerical calculation. (c) Using your answers to parts (a) and (b), justify why it is impossible to define a position-dependent potential-energy function Ufriction(x)U_{\text{friction}}(x) for kinetic friction that is analogous to gravitational or elastic potential energy.

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