如图所示,水平绝缘光滑轨道AB的B端与处于竖直平面内的四分之一圆弧形粗糙绝缘轨道BC平滑连接,圆弧的半径R=0.40m.在轨道所在空间存在水平向右的匀强电场,电场强度E=1.0×104  N/C.现有一质量m=0.10kg的带电体(可视为质点)放在水平轨道上与B端距离s=1.0m的位置,由于受到电场力的作用带电体由静止开始运动,当运动到圆弧形轨道的C端时,速度恰好为零.已知带电体所带电荷q=8.0×105C,取g=10m/s2,求:                                

(1)带电体在水平轨道上运动的加速度大小及运动到B端时的速度大小;                                       

(2)带电体运动到圆弧形轨道的B端时对圆弧轨道的压力大小;                                              

(3)带电体沿圆弧形轨道运动过程中,电场力和摩擦力对带电体所做的功各是多少.                                           

                                                                                           

                                                                                                                                        


如图所示为两组平行板金属板,一组竖直放置,一组水平放置,今有一质量为m的电量为e的电子静止在竖直放置的平行金属板的A点,经电压U0加速后通过B点进入两板间距为d、电压为U的水平放置的平行金属板间,若电子从两块水平平行板的正中间射入,且最后电子刚好能从右侧的两块平行金属板穿出,A、B分别为两块竖直板的中点,求:                                                                                                                                           

(1)电子通过B点时的速度大小;                                                                                 

(2)右侧平行金属板的长度;                                                                                        

(3)电子穿出右侧平行金属板时的动能和速度方向.                                                         

                                                                               

                                                                                                                                        


如图,一个质量为0.6kg                                        的小球以某一初速度从P点水平抛出,恰好从光滑圆弧ABC的A点的切线方向进入圆弧(不计空气阻力,进入圆弧时无机械能损失).已知圆弧的半径R=0.3m,θ=60°,小球到达A点时的速度                                                                             v=4m/s.取g=10m/s2,求:                          

(1)小球做平抛运动的初速度v0;                                                                                 

(2)P点与A点的高度差;                                                                                            

(3)小球到达圆弧最高点C时对轨道的压力.                                                                

                                                                                                 

                                                                                                                                        


如图所示,在海滨游乐场里有一种滑沙运动.某人坐在滑板上从斜坡的高处A点由静止开始滑下,滑到斜坡底端B点后,沿水平的滑道再滑行一段距离到C点停下来.若人和滑板的总质量m=60kg,滑板与斜坡滑道和水平滑道间的动摩擦因数均为μ=0.50,斜坡的倾角θ=37°(sin37°=0.6,cos37°=0.8),斜坡与水平滑道间是平滑连接的,整个运动过程中空气阻力忽略不计,重力加速度g取10m/s2.求:                                                                                

(1)人从斜坡上滑下的加速度为多大?                                                                          

(2)若AB的长度为25m,人滑到B处时速度为多大?                                                       

(3)若AB的长度为25m,求BC的长度为多少?                                                           

                                                                                          

                                                                                                                                        


在“验证机械能守恒定律”的实验中,某同学操作规范,用220V,50Hz的打点计时器打出的纸带如下图所示,A点为打下的第一个点,0、1、2、3、4、5、6为连续的点,现测得S1、S2、S3、S4、S5、S6分别为4.03cm、4.42cm、4.80cm、5.18cm、5.57cm、5.95cm.                                                                                                           

                                            

(1)在“验证机械能守恒定律”的实验中,下列叙述正确的是                                                

A.安装打点计时器时,两纸带限位孔应在同一竖直线上                                                     

B.实验时,在松开纸带让重物下落的同时,应立即接通电源                                              

C.若纸带上开头打出的几点模糊不清,也可设法用后面清晰的点进行验证                                       

D.测量重物下落高度必须从起始点算起                                                                          

(2)若重锤质量为1kg,g取9.8m/s2,打第5号计数点时,重锤运动的瞬时速度大小为     m/s,重锤的动能为                                                                                      J.已知第五号点离A点距离为44.10cm,则重锤下落过程中重力势能减少了                                                                                        J.(结果均保留三位有效数字).验证结果是重锤增加的动能略小于它减少的重力势能,其主要原因是                               

                                                                                                                                        


一小组用如图所示装置测定滑块与斜面间的动摩擦因数.斜面下端固定一光电门,上端由静止释放一带有遮光条的滑块,滑块沿斜面加速通过光电门.                                                                                          

(1)要测量木板与斜面间的动摩擦因数,除了已知当地重力加速度g及遮光条宽度d、遮光时间t,还应测量的物理量是下列选项中的                                                                                 ;                                  

A.滑块的长度L                                                                                                              

B.斜面的倾角θ                                                                                                              

C.滑块的质量m                                                                                                             

D.释放滑块时遮光条到光电门间的距离x                                                                       

(2)用上述物理量表示滑块与斜面间动摩擦因数μ=                            .                            

                                                                                            

                                                                                                                                        

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