A wooden block slides up a rough incline and then immediately slides the same…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A wooden block slides 3.0 m3.0\,\text{m} up a rough 30∘30^{\circ} incline and then immediately slides the same distance back down to its starting point. Let WgW_{g}, WNW_{N}, and WfricW_{\text{fric}} represent the total work done by gravity, the normal force, and kinetic friction, respectively, over the complete up-and-down trip. Which of the following correctly ranks the magnitudes of these works? (a) ∣Wg∣>∣Wfric∣>∣WN∣=0|W_{g}| > |W_{\text{fric}}| > |W_{N}| = 0 (b) ∣Wfric∣>∣Wg∣=∣WN∣=0|W_{\text{fric}}| > |W_{g}| = |W_{N}| = 0 (c) ∣Wg∣=∣Wfric∣>∣WN∣=0|W_{g}| = |W_{\text{fric}}| > |W_{N}| = 0 (d) ∣Wg∣=∣WN∣=∣Wfric∣=0|W_{g}| = |W_{N}| = |W_{\text{fric}}| = 0

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