问题 多选题

如图所示,带正电物体A在固定的绝缘斜面上下滑,若在斜面上方所在空间加一个竖直向下的匀强电场,且电场强度E随时间t均匀增加,则下列说法正确的是(  )

A.若A在无电场时是匀速运动的,则加了电场后仍为匀速运动

B.若A在无电场时是匀速运动的,则加了电场后A物将变加速下滑

C.若A在无电场时是匀加速下滑,则加了电场后仍匀加速下滑

D.若A在无电场时是匀加速下滑,则加了电场后将变加速下滑,加速度逐渐增大

答案

不加电场时,对物体受力分析,受重力、支持力和摩擦力,如图

假设动摩擦因素为μ,根据牛顿第二定律,运用正交分解法,得到

mgsinθ-μmgcosθ=ma

解得

a=gsinθ-μgcosθ    ①

加电场后多受一个电场力qE,再次对物体受力分析,如图

根据牛顿第二定律,运用正交分解法,得到

(mg+qE)sinθ-μ(mg+qE)cosθ=ma′

解得

a′=(gsinθ-μgcosθ)+

qE(sinθ-μcosθ)
m
  ②

当不加电场物体匀速下滑时,由①式得到μ=tanθ,代入②式得到a′=0,即物体依然匀速,故A正确,B错误;

当不加电场物体匀加速时,由①式得到a>0,由于电场强度随时间均匀增加,由②式可以得到加速度随时间均匀增加,故C错误,D正确;

故选A、D.

阅读理解

阅读理解。

     The fiddler crab (蟹) is a living clock. It indicates the time of day by the colour of its skin, which is dark

by day and pale by night. The crab's changing colour follows a regular twenty-four hour plan that exactly

matches the daily rhythm of the sun.

     Does the crab actually keep time, or does its skin simply answer to the sun's rays, changing colour

according to the amount of light which strikes it? To find out, biologists kept crabs in a dark room for two

months. Even without daylight, the crab's skin colour continued to change exactly on time.

     This characteristic probably developed gradually in answer to the daily rising and setting of the sun, to help

protect the crab from sunlight and enemies. After millions of years it has become completely controlled inside

the living body of the crab.

     The biologists noticed that once each day the colour of the fiddler crab is especially dark, and that each day

this happens fifty minutes later than on the day before. From this they discovered that each crab follows not

only the rhythm of the sun but also that of the tides (潮水). The crab's period of greatest darkening is exactly

the time of low tide on the beach where it was caught!

1. The crab's changing colour _____. [ ]

A. tells the crab what time it is

B. protects the crab from the sunlight and enemies

C. keeps the crab warm

D. is of no real use

2. When the fiddler crabs were kept in the dark, they _____. [ ]

A. did not change colour

B. changed colour more quickly

C. changed colour more slowly

D. changed colour on the same timetable

3. The crab's colour-changing ability was probably developed _____. [ ]

A. in the process of evolution (进化)

B. over millions of years

C. by the work of biologists

D. both A and B

4. The best title for this selection would be _____. [ ]

A. The Sun and the Tides

B. Discoveries in Biology

C. A scientific Study

D. A Living Clock

判断题