A boy of mass m is standing initially at rest relative to the moving walkway inclined at the angle θ and moving with a constant speed u. He decides to accelerate his progress and starts to walk from point A with a steadily increasing speed and reaches point B with a speed v_r relative to the walkway. During his acceleration he generates a constant average force F tangent to the walkway between his shoes and the walkway surface. Write the work-energy equations for the motion between A and B for his absolute motion and his relative motion and explain the meaning of the term muv_r. If the boy weighs 150 lb and if u = 2 ft/sec, s = 30 ft, and θ = 10°, calculate the power P_rel developed by the boy as he reaches the speed of 2.5 ft/sec relative to the walkway.

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и B А