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.                                                            

                                                                                                                                     


质量M=4kg的小车內有一跨过定滑轮的轻绳两端连接小物块m1和m2.如图示,m1=1kg,m2=2kg.m1和固定在小车上的水平轻质弹簧连接.m2由细线OA悬在竖直车壁上的O点.车在水平向右的拉力F作用下在光滑水平面向右做匀加速直线运动.整个装置相对静止.绳AB段水平,BC段竖直.绳OA和竖直方向夹角为45°.弹簧压缩量为10厘米.不计一切摩擦不计定滑轮质量.(g=10m/s2)求:                                                                                  

(1)小车加速度;                                                                                                       

(2)弹簧劲度系数k;                                                                                                 

(3)拉力F大小.                                                                                                       

                                                                          

                                                                                                                                     


某同学在“研究匀变速直线运动”的实验中,用打点计时器记录了被小车拖动的纸带的运动情况,在纸带上确定出A、B、C、D、E、F、G共7个计数点,其相邻点间的距离如图1所示,每两个相邻的计数点之间的时间间隔为0.10s.                                                                                                                                        

                                                                                                                                                

(1)根据纸带上各个计数点间的距离,计算打下B、C、D、E、F五个点时小车的瞬时速度,并将各个速度值填在下面的横线上:(要求保留三位有效数字)                                                                              

vB=                                                                                 m/s,vC=          m/s,vD=        m/s,vE=              m/s,vF=                                                                m/s;

(2)以A点为计时零点,将B、C、D、E、F各个时刻的瞬时速度标在如图2所示的坐标纸上,并画出小车的瞬时速度随时间变化的关系图线;                                                                                                  

(3)根据第(2)问中在画出的v﹣t图线,求出小车运动的加速度为         m/s2.(保留两位有效数字)                                                                                                                                 


如图1示,用A、B两弹簧测力计拉橡皮条,使其伸长到O点(α+β<                                                                                                                                     

(1)现保持A的读数不变,而使夹角减小,适当调整弹簧测力计B的拉力大小和方向,可使O点保持不变,这时B的示数FB和夹角β的变化应是                                                                                                 

A.FB一定变大,夹角β一定变大                          B.FB一定不变    夹角β一定变大                                                   

C.FB一定变小                                                      夹角β一定变小   D.FB变大、不变、变小均有可能   夹角β变小                                                                                                                      

(2)如图2所示是甲和乙两位同学在做以上实验时得到的结果,其中哪一个比较符合实验事实?                                                                                                                                               

                                                                                                                                     

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