问题 计算题

如图所示,一条长为L的细线,上端固定,将它置于一充满匀强电场的空间中,场强大小为E,方向水平向右。已知当细线向右偏离竖直方向的偏角为θ时,带电小球处于平衡状态。求:

⑴小球带电量为多少?

⑵如果使细线向右与竖直方向的偏角由θ增大为β,且自由释放小球,则β为多大时,才能使细线达到竖直位置时,小球的速度又刚好为零?

⑶如果将小球向左方拉成水平,此时线被拉直,自由释放小球后,经多长时间细线又被拉直?

答案

(1)(2)β=2θ (3)

题目分析:

(1)小球平衡状态 Eq=mgtanθ,解得

(2)对整个过程由动能定理 mgL(1-cosβ)-EqLsin β="0" ,解得 tanβ/2=tanθ,解得:β=2θ

(3)自由释放后小球作匀加速直线运动到细线又被拉直过程中, 因为 s = 2Lsinθ 

  

根据

完形填空
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     Learning Chinese may seem difficult to foreigners outside China. However, Daisy Raffan, an   1   girl in
Britain, hopes to bring the   2   to the young people.
     Daisy has   3   an online learning website to teach the language to as   4   people as possible, all over the
world.
     With China's fast development in the world, Daisy thinks   5   important for people to learn the language
sooner rather than later. 
     Daisy has been learning Putonghua   6   the age of five. Two years ago,   7   she decided to pass on what
she had learned, she   8   the idea for the website, kidschineseclub.com.
     She said: "People are afraid to learn Putonghua. One of the main reasons is that they think it's an   9   
language to learn, but I have had fun   10   it. And I hope what I have done is easy and fun."
     Her   11   offers a series of lessons, which are videos of Daisy teaching a group of students on topics from
greetings and numbers to Chinese culture. 
     Daisy's website has   12   the support of several important persons-the teenager says she has received a
letter praising (赞扬) her work from Gordon Brown,   13   is the British Prime Minister (首相).
     She said: "I wrote to him and told him what I was doing and got a letter  14  . He said that what I was doing
was a really good idea. I thought it was amazing. I was excited that   15   was supporting what we're doing."
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