如图所示,ABC为一固定的半圆形轨道,轨道半径R=0.4m,A、C两点在同一水平面上.现从A点正上方h=2m的地方以v0=4m/s的初速度竖直向下抛出一质量m=2kg的小球(可视为质点),小球刚好从A点进入半圆轨道.不计空气阻力,重力加速度g取10m/s2.                                                                                                         

(1)若轨道光滑,求小球下落到最低点B时的速度大小;                                                         

(2)若轨道光滑,求小球相对C点上升的最大高度;                                                         

(3)实际发现小球从C点飞出后相对C点上升的最大高度为h′=2.5m,求小球在半圆轨道上克服摩擦力所做的功.                                                                                                                                            

                                                                                                

                                                                                                                                        

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