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如图甲所示为一对间距为d且竖直固定放置的平行光滑金属导轨.在导轨下端接有一阻值为R的定值电阻,导轨上方放着一质量为m、长度为L的金属棒PQ(已知L>d).导轨下部处于垂直导轨平面向外的匀强磁场中,磁场上边界距导轨下端为h,磁感应强度随时间变化情况如图乙所示.金属棒PQ从t=0以前某时刻自由释放,t0时刻进入磁场并恰好开始做匀速直线运动,金属棒PQ与金属导轨的电阻不计,棒在下落过程中始终与导轨接触良好,求:

     

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同类题1

阅读下文,回答相关问题。

                                                                                                                                  后母的三巴掌
        从六岁至今,跟后母一起生活了30年,烙在我骨血里磨不掉的是后母印在我屁股上的三巴掌。
        第一巴掌是我8岁那年夏天,我同伙伴从卖甜瓜的老头儿筐里偷了一只甜瓜,跑回家躲在街门后头吃。
        “哪来的?”后母看出不对劲儿了。
        “偷的。”我还觉得挺得意,挺能耐。
        “啪!”后母二话没说,把我拽过去照准屁股就是一巴掌,又响又干脆。疼得我腿肚儿直转筋,咧开嘴半天没哭出音来。
         “做贼!与老鼠一个祖宗!恨死人!把瓜扔了!不许吃!给,给老头儿送钱去!”后母那严酷的表情是我从没见过的,我怕极了,不敢哭,接过两毛钱扔了瓜咧着嘴给卖瓜的送钱去。
        从此,别人多稀罕的东西都没动过我的心。
        第二巴掌是我10岁那年。
        要过年了,父亲交给后母一沓钱说:“准备过年,再给二小买几袋奶粉,别光喝炒面糊糊了。”
        二小是我刚出生的弟弟,后母没奶水,老喂他炒面糊糊。
        我看见后母将钱压在席底下。
       “阿巧”,前邻居二奶奶一大清早叫开我家门,喘着粗气在院子里跟后母说话,“章媳妇要生孩子生不出来得送医院,你手头有钱不?”“有。”我听见后母只说了一个字便往屋里跑。我赶紧把席底下的钱换了地方。“嗯?”后母揭开席一怔。“兴许是他爹又换了地方了,你先送人上医院,我去找他爹,随后给你送去,200块整。”
        二奶奶小跑走了。我神秘兮兮地把钱给后母看:“过年呢,不借给她。”
        后母二话没说,一把把我从被窝里薅出来,照准屁股“啪”就是一巴掌,疼得我直蹦高,她却夺过钱跑出去了。
        “小孩子家家的,不学理性,谁还能没个病灾的,等自己陷在坑里就找不着道儿了。”后母回来后并不哄我,还瞪着眼训我。
        父亲知道了,说“该把屁股打碎。”
       从此,“帮”字在我的理解里有了深刻而特殊的含义。
        第三巴掌是我14岁那年。
        我考上了县里的重点初中,但吃住自理家里负担不了。
        “我不上了,帮娘喂猪吧。借人求人多难。”我吃饭时说。后母二话没说,把我揪起来照准屁股“啪”就是一巴掌。疼得直钻心,但我没哭,因为我稍懂人事了,知道听后母巴掌后的教训才重要。
        “一指头年纪,还没见事就先低头!抬起来!不念书,大了能中屁用!我去求人借,还用你费心!再有这想法眼睛抠出来喂猪!”我哭了,不是因为屁股疼,而是在我理解后母一片心血之后感动得哭了。我在内心发誓:“等我会写文章时,一定先写后母。”

同类题3

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    A ground-based system that uses much stronger signals than GPS can find your location in cities and indoors. It is a new positioning system that could compete with GPS to make sure you never lose your directions again.

    Instead of satellites, Locata uses ground-based equipment to send a radio signal over a localized area that is a million times stronger on arrival than GPS. It can work indoors as well as outdoors, and the makers claim that the receivers can be shrunk(缩小) to fit inside a regular cell phone. Even the US armies, which invented GPS technology, signed a file last month agreeing to a test of Locata at the White Sands Missile Range in New Mexico.

    “This is one of the most important technology developments for the future of the positioning industry,” says Nunzio Gambale, CEO and co-founder of the firm Locata, based in Griffith, Australia.

    As for the Locata's correctness, Christopher Morin of the US Air Force tested it recently at White Sands, and it worked to within 18cm along any axis(轴). Morin said it should be possible to get the exactitude down to 5cm.

    The tests were performed in an open desert where GPS also worked beautifully, but its signal was weak—like a car headlight from 20,000 kilometers away—and easily cut off by solid objects(实心的物体). Locata's signal was far stronger, though not guaranteed to work in a complex urban environment, said David, speaker of the UK' s General Lighthouse Authorities.

    Locata's technology will face competition in the race to transform indoor navigation. But it could shine in specific areas, Gambale said. Robots with Locata could easily navigate inside buildings without the complex optical(视觉的) systems they need at the moment. And the process that handles correct location data could not only guide you around a mall, railway station or airport, but also take you to the exact shelf in a shop for the product you want. It would be small and cheap enough for smart phones and it should be available within five years—a similar path to the one GPS took on its way towards the world, he said.