如图所示,水平桌面上有一轻弹簧,左端固定在A点,自然状态时其右端位于B点.水平桌面右侧有一竖直放置的光滑轨道MNP,其形状为半径R=0.8m的圆环剪去了左上角135°的圆弧,MN为其竖直直径,P点到桌面的竖直距离也是R.用质量m1=0.4kg的物块将弹簧缓慢压缩到C点,释放后弹簧恢复原长时物块恰停止在B点.用同种材料、质量为m2=0.2kg的物块将弹簧缓慢压缩到C点释放,物块过B点后其位移与时间的关系为x=6t﹣2t2,物块飞离桌面后由P点沿切线落入圆轨道.g=10m/s2,求:                                                                                                  

                                            

(1)BP间的水平距离.                                                                                           

(2)判断m2能否沿圆轨道到达M点.                                                                     

(3)释放后m2运动过程中克服摩擦力做的功.                                                        

                                                                                                                                 


用自由落体运动验证机械能守恒定律的实验:                                                           

                                              

(1)为进行该实验,备有下列器材可供选择:铁架台、打点计时器、复写纸片、纸带、低压交流电源、重锤、导线、开关.要完成实验还缺少的器材是                                                .                                  

(2)若实验中所用重物的质量m=1kg,打点时间间隔为0.02s,打出的纸带如图1所示,O、A、B、C、D为相邻的几点,测得OA=0.18cm、OB=0.76cm、OC=1.71cm、OD=3.04cm,查出当地的重力加速度g=9.80m/s2,则重物在B点时的动能EkB=                                                                                                J.从开始下落到B点的过程中,重物的重力势能减少量是                                                                                             J.(计算结果保留三位小数)        

(3)根据纸带算出相关各点的速度v,量出下落的距离h,以v2/2为纵轴,以h为横轴画出的图线应是图2中的           ,图象的斜率代表的物理量是                                                      .              

                                                                                                                                 


某同学采用半径R=25cm的圆弧轨道做平抛运动实验,其部分实验装置示意图如图甲所示.实验中,通过调整使出口末端B的切线水平后,让小球从圆弧顶端的A点由静止释放.图乙是小球做平抛运动的闪光照片,照片中的每个正方形小格的边长代表的实际长度为4.85cm.己知闪光频率是10Hz.则根据上述的信息可知:                                

①小球到达轨道最低点B时的速度大小vB=                            m/s,小球在D点时的竖直速度大小vDy=      m/s,当地的重力加速度g=                                                            m/s2;(取三位有效数字).

②小球在圆弧槽轨道上是否受到了摩擦力:                              (填“受到”、“未受到”或“条件不足,无法确定”).                                                                                                                

                                                                        

                                                                                                                                 

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