如图所示,两平行金属导轨间的距离L=0.40m,金属导轨所在的平面与水平面夹角θ=37°,在导轨所在平面内,分布着磁感应强度B=0.50T、方向垂直于导轨所在平面的匀强磁场.金属导轨的一端接有电动势E=4.5V、内阻r=0.50Ω的直流电源.现把一个质量m=0.040kg的导体棒ab放在金属导轨上,导体棒恰好静止.导体棒与金属导轨垂直、且接触良好,导体棒与金属导轨接触的两点间的电阻R0=2.5Ω,金属导轨电阻不计,g取10m/s2.已知sin37°=0.60,cos37°=0.80,求:                                                                                                                                   

(1)通过导体棒的电流;                                                                                           

(2)导体棒受到的安培力大小以及方向;                                                                   

(3)导体棒受到的摩擦力大小与方向.                                                                      

                                                                                           

                                                                                                                                    


某同学设计了一个用打点计时器探究碰撞过程中不变量的实验:在小车A的前端粘有橡皮泥,推动小车A使之做匀速运动.然后与原来静止在前方的小车B相碰并粘合成一体,继续做匀速运动,他设计的具体装置如图所示.在小车A后连着纸带,电磁打点计时器电源频率为50Hz,长木板下垫着小木片用以平衡摩擦力.                                 

                           

(1)若已得到打点纸带如图所示,并将测得的各计数点间距离标在图上,A点是运动起始的第一点,则应选         段来计算A的碰前速度,应选                                                                 段来计算A和B碰后的共同速度(以上两格填“AB”或“BC”或“CD”或“DE”).                                                                         

                                   

(2)已测得小车A的质量m1=0.40kg,小车B的质量m2=0.20kg,由以上测量结果可得:碰前mAvA+mBvB=    kg•m/s;碰后mAvA,+mBvB,=                                                          kg•m/s.并比较碰撞前后两个小车质量与速度的乘积之和是否相等                                                                                     .(计算结果保留三位有效数字)

                                                                                                                                    

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