题目内容


甲 乙两车同时同地同向运动,甲车初速度为30m/s,以加速度大小为a1匀减速刹车,乙车初速度为10m/s,以加速度a2匀加速运动,经过10s两车速度相等.在乙车追上甲车之前两车之间最大距离为x.则(  )                                                                                                                          

    A. a1越大x越大     B. a2越大x越大

    C. x一定等于100m      D.     x一定等于50m

                                                                                                                                     

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如图示,小物块每次都从倾角为30°的长为40米的光滑斜面顶点O由静止释放,斜面和光滑水平面AB之间由一小段长度不计的光滑弧面连接.物块由B点滑上水平传送带BC后又滑向倾斜传送带DE.CD间由长度不计的光滑曲面连接.传送带粗糙,物块和倾斜传送带DE间滑动摩擦因数为0.5.传送带DE倾角为37°.当传送带都静止时,物块最高能滑到F点速度减为零.DF间距离为5米.求:                                                                                      

(1)传送带都静止时小物块由O点释放运动到B点和C点速度大小分别是多少?                                                                                                                                      

(2)试分析开动两传送带能否使从O点静止释放的物块在倾斜传送带DE上滑动 的最大高度低于F点?若能,应该怎样开动两传送带?                                                                                                           

(3)应该怎样开动两传送带才能使从O点静止释放的物块在DE上上升的距离最大,其最大距离是多少?(设DE传送带足够长)                                                                                                                       

(4)如果传送带DE长度只有55米,传送带BC的速度满足(3)条件.可以调节DE传送带的速度,那么DE传送带匀速运行最大速度不能超过多少,才能使从O点静止释放的物块不会冲出DE传送带.                                                            

                                                                                                                                     

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