问题 计算题

在绝缘水平面上放置一质量为m=2.0×10-3 kg的带电滑块A,电量为q=1.0×10-7 C。在A的左边L=1.2 m处放置一个不带电的滑块B,质量为M=6.0×10-3 kg,滑块B距左边竖直绝缘墙壁s=0.6 m,如图所示,在水平面上方空间加一方向水平向左的匀强电场,电场强度为E=4.0×105 N/C,A由静止开始向左滑动并与B发生碰撞,设碰撞的过程极短,碰撞后两滑块结合在一起共同运动并与墙壁相碰撞,在与墙壁发生碰撞时没有机械能损失,两滑块始终没有分开,两滑块的体积大小可以忽略不计。已知A、B与地面的动摩擦因数均为μ=0.5。(取g=10 m/s2

(1)求A与B碰撞前的速度;

(2)计算滑块A从开始运动到最后静止所用的时间;

(3)试通过计算,在坐标图中作出滑块A从开始运动到最后静止的速度时间图象。

答案

解:(1)A从静止到与B碰撞前,由动能定理有:

解得:VA=6 m/s

(2)A从加速到碰撞前,由牛顿第二定律得:qEL-μmAg=mAaA

解得:aA=1.5 m/s2

即得:

A、B碰撞过程极短,由动量守恒定律得:mAVA=(mA+mB)v1

解得v1=1.5 m/s

碰后,由于qE=μ(mA+mB)g

故A、B一起向左做匀速直线运动,运动时间为:

然后A、B一起与墙碰撞,由于碰撞无机械能损失,故获得等大反向速度,反向运动过程中做匀减速运动,由牛顿第二定律可得:qE+μ(mA+mB)g=(mA+mB)a

解得:a=10 m/s2

所以减速到0的时间:

之后由qE=μ(mA+mB)g受力平衡,保持静止,故从A由静止开始运动到最后静止经历的时间为:

t=t1+t2+t3=0.95 s

(3)A运动的速度一时间图象如图所示

判断题
单项选择题

In the two decades between 1910 and 1930, over ten percent of the Black population of the United States left the South, where the majority of the Black population had been located, and migrated to northern states, with the largest number moving, it is claimed, between 1916 and 1918. It has been frequently assumed, but not proved, that most of the migrants in what has come to be called the Great Migration came from rural areas and were motivated by two concurrent factors: the collapse of cotton industry following boll weevil infestation, which began in 1898, and increased demand in the North for labor following the cessation of European immigration caused by the outbreak of the First World War in 1914. This assumption has led to the conclusion that the migrants’ subsequent lack of economic mobility in the North is tied to rural background, a background that implies unfamiliarity with urban living and a lack of industrial skills.

But the question of who actually left the South has never been investigated in detail. Although numerous investigations document a flight from rural southern areas to southern cities prior to the Great Migration, no one has considered whether the same migrants then moved on to northern cities. In 1910 over 600,000 Black workers, or ten percent of the Black work force reported themselves to be engaged in "manufacturing and mechanical pursuits", the federal census category roughly including the entire industrial sector. The Great Migration could easily have been made up entirely of this group and their families. It is perhaps surprising to argue that an employed population could be tempted to move, but an explanation lies in the labor conditions then prevalent in the South.

About thirty-five percent of the urban Black population in the South was engaged in skilled trades. Some were from the old artisan class of slavery--blacksmiths, masons, carpenters--which had a monopoly of certain trades, but they were gradually being pushed out by competition, mechanization, and obsolescence. The remaining sixty-five percent, more recently urbanized, worked in newly developed industries--tobacco, lumber, coal and iron manufacture, and railroads. Wages in the South, however, were low, and Black workers were aware, through labor recruiters and the Black press, that they could earn more even as unskilled workers in the North than they could as artisans in the South. After the boll weevil infestation, urban Black workers faced competition from the continuing influx of both Black and White rural workers, who were driven to undercut the wages formerly paid for industrial jobs. Thus, a move north would be seen as advantageous to a group that was already urbanized and steadily employed, and the easy conclusion tying their subsequent economic problems in the North to their rural backgrounds comes into question.

It can be inferred from the text that the "easy conclusion" mentioned in the last sentence is based on the assumption that()

A. people who migrate from rural areas to large cities usually do so for economic reasons

B. most people who leave rural areas to work in cities return to rural areas as soon as it is financially possible for them to do so

C. people with rural backgrounds are less likely to succeed economically in cities than those with urban backgrounds

D. most people who were once skilled workers are not willing to work as unskilled workers