题目内容
质量为0.1g的小球带5×10-4C电量的负电荷,套在一根足够长的绝缘杆上,杆与水平方向成370角,球与杆间的摩擦系数μ=0.40,置于B=0.5T的匀强磁场中,磁场方向垂直纸面向里,如图所示,求小球由静止开始下滑的最大加速度和最大速度.(磁场范围足够大,g取10 m/s2)
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解:以带电小球为研究对象,分析受力如图所示.
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(1)开始时刻,
,
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方向斜向下,小球沿杆向下做加速运动
, 为最大加速度.
(2)小球下滑具有速度
后,则受洛仑兹力如图所示,FN增大Fμ增大
小球做加速度越来越小的变加速运动.当速度
增大到一定值
时,
,
速度就达最大,以后就做匀速直线运动.
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(1)开始时刻,
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方向斜向下,小球沿杆向下做加速运动
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(2)小球下滑具有速度
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小球做加速度越来越小的变加速运动.当速度
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速度就达最大,以后就做匀速直线运动.
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略
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