13. (a) Isolated. The only external influence on the systemis the normal force from the slide, but this force isalways perpendicular to its displacement so it performsno work on the system. (b) No, the slide is frictionless.= mgh (d) E = }mgh + şmv+ gmu2.(c) Esystem(e) Eyxtem8gh(g) = h(1 - cos' 0) (h) If frietion is5.vi-(F)(1) v%=present, mechanical energy of the system would not be con-served, so the child's kinetic energy at all points after leav-ing the top of the waterslide would be reduced when com-pared with the frictionless case. Consequently, her launchspeed and maximum height would be reduced as well, A child of mass m starts from rest and slides without fric-1 tion from a height h along a slide next to a pool (Fig. P8.13).She is launched from a height h/5 into the air over the pool.We wish to find the maximum height she reaches above thewater in her projectile motion. (a) Is the child-Earth systemisolated or nonisolated? Why? (b) Is therea nonconservativeforce acting within the system? (c) Define the configurationof the system when the child is at the water level as havingzero gravitational potential energy. Express the total energyof the system when the child is at the top of the waterslide.(d) Express the total energy of the system when the child isat the launching point. (e) Express the total energy of thesystem when the child is at the highest point in hertile motion. (1) From parts (c) and (d), determine her initialprojec-I.Figure P8.13

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