问题 选择题

现在,人造地球卫星发挥着越来越重要的作用.2014年3月8日凌晨,飞往北京的马航MH370航班起飞后与地面失去联系,机上有我们154名中国人.我国西安卫星测控中心启动卫星测控应急预案,紧急调动海洋、风云、高分、遥感等4个型号、近10颗卫星为地面搜救行动提供技术支持.假设某颗圆周运动卫星A轨道在赤道平面内,距离地面的高度为地球半径的2.5倍,取同步卫星B离地面高度为地球半径的6倍,则(  )

A.卫星A的线速度大于第一宇宙速度

B.卫星A的向心加速度是地球表面重力加速度的

4
49

C.同步卫星B的向心加速度为地球表面赤道上物体随地球自转向心加速度的

1
49

D.卫星B的周期小于卫星A的周期

答案

A、第一宇宙速度是近地卫星运行速度同时也是围绕地球做圆周运动的最大速度,故A错误;

B、在地球表面有:mg=G

mM
R2
可得g=
GM
R2
,卫星A的轨道RA=3.5R,万有引力提供向心力有G
mM
(3.5R)2
=ma
得其向心加速度a=
GM
(3.5R)2
=
4
49
GM
R2
=
4
49
g
,故B正确;

C、同步卫星与地球自转角速度相同,根据a=rω2知,向心加速度与轨道半径成正比,故C错误;

D、根据万有引力提供圆周运动向心力知G

mM
r2
=mr(
T
)2得周期T=
4π2r3
GM
知半径大的B卫星周期大,故D错误.

故选:B.

单项选择题 A型题
单项选择题

In 1957 a doctor in Singapore noticed that hospitals were treating an unusual number of influenza-like cases. Influenza is sometimes called “flu” or a “bad cold”. He took samples from the throats of patients in his hospital and was able to find the virus of this influenza.

There are three main types of the influenza virus. The most important of these are types A and B, each of them having several sub-groups. With the instruments at the hospital the doctor recognized that the outbreak was due to a virus group A, but he did not know the sub-group. He reported the outbreak to the World Health Organization in Geneva. W. H.O. published the important news alongside reports of a similar outbreak in Hong Kong, where about 15%—20% of the population had become ill.

As soon as the London doctors received the package of throat samples, they began the standard tests. They found that by reproducing itself at very high speed, the virus had multiplied more than a million times within two days. Continuing their careful tests, the doctors checked the effect of drugs used against all the known sub-groups of virus type A. None of them gave any protection. This then, was something new: a new influenza virus against which the people of the world had no ready help whatsoever. Having isolated the virus they were working with, the two doctors now dropped it into the noses of some specially selected animals, which contact influenza in the same way as human beings do. In a short time the usual signs of the disease appeared. These experiments revealed that the new virus spread easily, but that it was not a killer. Scientists, like the general public, called it simply “Asian” flu.

The first discovery of the virus, however, was made in China before the disease had appeared in other countries. Various reports showed that the influenza outbreak started in China, probably in February of 1957. By the middle of March it had spread all over China. The virus was found by Chinese doctors early in March. But China was not a member of the World Health Organization and therefore did not report outbreaks of disease to it. Not until two months later, when travelers carried the virus into Hong Kong, from where it spread to Singapore, did the news of the outbreak reach the rest of the world. By this time it was started on its way around the world.

Thereafter, WHO’s Weekly Reports described the steady spread of this virus outbreak, which within four months swept through every continent.

W. H. O, reported the influenza because()

A. a doctor found its virus and reported to it

B. many people in Hong Kong suffered from it

C. it spread widely in Singapore for the first time

D. the doctor belonged to that organization