问题 选择题

如图所示,天文学家观测到某行星和地球在同一轨道平面内绕太阳做同向匀速圆周运动,且行星的轨道半径比地球的轨道半径小,已知地球的运转周期为T.地球和太阳中心的连线与地球和行星的连线所夹的角叫做地球对该行星的观察视角(简称视角).已知该行星的最大视角为θ,当行星处于最大视角处时,是地球上的天文爱好者观察该行星的最佳时期.则此时行星绕太阳转动的角速度ω与地球绕太阳转动的角速度ω的比值ω∶ω为(   )

 

A.

B.

C.

D.

答案

答案:C

题目分析:设行星的轨道半径为r′,运行周期为T′,当行星处于最大视角处时,地球和行星的连线应与行星轨道相切.由几何关系可知:,根据开普勒第三定律,还知道,故联立可得,故选C

点评:向心力的公式选取要根据题目提供的已知物理量或要求解的物理量选取应用.物理问题经常要结合数学几何关系解决.

单项选择题
单项选择题

Many in the Middle East have difficulty in adjusting themselves to the new situation created by the departure of the imperial powers. For the first time in almost 200 years, the rulers and people of the Middle East have to accept the final responsibility for their own affairs, to make their own mistakes and to accept the consequences. This is difficult to internalize, even to perceive, after so long a period. For the entire lifetimes of those who formulate and conduct policy at the present time and of their predecessors for many generations, vital decisions were made elsewhere, ultimate control lay elsewhere, and the principal task of statesmanship and diplomacy was as far as possible to avoid or reduce the dangers of this situation and to exploit such opportunities as it might from time to time offer. It is very difficult to forsake the habits not just of a lifetime but of a whole era of history. The difficulty is much greater when alien cultural, social and economic preeminence continues and even increases, despite the ending of alien political and military domination.

Military and to a growing extent political intervention by the West has indeed ended, but the impact of its science and culture, its technology, amenities and institutions remains and even increases. As in other parts of the non-Western world, this impact has been and will be enormous. In these circumstances, it is natural that Middle Easterners should continue to assume—and proceed on the assumption—that real responsibility and decision still lie elsewhere. In its crudest form, this belief leads to wild and strange conspiracy theories directed against those whom they regard as their enemies—Israel, and more generally the Jews, the United States, and more generally the West. No theory is too absurd to be asserted or too preposterous to be widely and instantly believed. Even among more responsible statesmen and analysts, a similar belief in alien power, albeit in a less crude form, often seems to guide both analysis and policy. Some even go so far as to invite outside intervention, presumable in the belief that only outside powers have the capacity to make and enforce decisions. A case in point is the constant appeal to the United States to involve itself in the Arab Israel conflict, oddly coupled with the repeated accusation of "American imperialism. "

This state of mind is likely to continue for some time, with appeals for support or even intervention to the United States, to Russia and even to the European Union. In time, no doubt, Middle Eastern governments and people will learn how to use this window of opportunity to the best advantage—that is, of course, if the window remains open long enough.

The author implied in the passage that()

A. it takes time for the Middle Easterners to adjust themselves to the new situation

B.the world will be more peaceful if each country learns to care about its own business

C. most of the unrest in the Middle East is attributable to Israel’s aggressive policies

D. the Western powers should stop interfering with other countries’ affairs