问题 选择题

设地球的半径为R0,质量为m的卫星在距地面2R0高处做匀速圆周运动,地面的重力加速度为g,则下列说法正确的是(  )

A.卫星的线速度为

gR0
2

B.卫星的角速度为

g
8R0

C.卫星的加速度为

g
2

D.卫星的周期为2π

2
7R0
g

答案

A、研究卫星绕地球做匀速圆周运动,根据万有引力提供向心力,列出等式:

GmM
r2
=m
v2
r

解得:v=

GM
r
其中r=3R0

忽略地球自转的影响,根据万有引力等于重力列出等式:

GmM
R20
=mg,

解得:GM=gR02

由①②得:卫星的速度大小v=

gR0
3
,故A错误

B、卫星的角速度ω=

v
r
=
g
27R0
,故B错误

C、根据圆周运动知识得:a=

v2
r
=
g
9
,故C错误

D、卫星的周期T=

2πr
v
=2π
2
7R0
g
,故D正确

故选D.

选择题
完形填空
完形填空。
     The family had just moved. The young woman was feeling a little    1  . It was Mother's
Day - and she was 800 miles away from her parents.
     She had called them that morning, and her mother had   2 how colorful their backyard
was   3  spring had arrived. Later, she told her husband how she   4  those lilacs (丁香) in
her parents' yard. "I know where we can find some," he said. "Get the   5  and come on."
So off they went.
     Some time later, they stopped at a hill and there were lilacs all round. The young woman
rushed up to the nearest   6 and buried her face in the flowers. Carefully, she    7 some. Finally,
they returned to their car for the   8  home. The woman sat smiling, surrounded by her   9   .
      When they were near home, she shouted "Stop," got off quickly and   10  to a nearby nursing
home. She went to the end of the porch (门廊), where a(n)   11  patient was sitting in her wheelchair,
and put the flowers into her lap. The two   12  , breaking into laughter now and then. Later the
young woman turned and ran back to her   13  . As the car pulled away, the woman in the wheelchai
  14  with a smile, and held the lilacs   15  .
     "Mom," the kids asked, " 16 did you give her our flowers?" "It is Mother's Day, and she seems
so   17  while I have all of you. And anyone would be   18  by flowers."
     This pleased the kids, but not the husband. The next day he   19  some young lilacs around their
yard.
     I was the husband. Now, every May, our yard is full of lilacs. Every Mother's Day our kids 
 20 purple lilacs. And every year I remember that smile of the lonely old woman. And that has
become a forever touching memory of my life.
( ) 1. A. moved
( ) 2. A. learned
( ) 3. A. now that
( ) 4. A. missed
( ) 5. A. cars
( ) 6. A. bush
( ) 7. A. bought
( ) 8. A. break
( ) 9. A. friends
( )10. A. looked
( )11. A. loving
( )12. A. hesitated
( )13. A. family
( )14. A. nodded
( )15. A. sadly
( )16. A. why  
( )17. A. quiet
( )18. A. calmed
( )19. A. picked
( )20. A. find
B. worried
B. imagined
B. so that
B. grew
B. kids
B. hill
B. picked
B. holiday
B. patients
B. pointed
B. elderly
B. waited
B. mother
B. waved
B. politely
B. when
B. confused
B. troubled
B. dried
B. gather
C. angry    
C. mentioned
C. as if
C. watered
C. clothes
C. yard  
C. set  
C. trip  
C. flowers
C. drove
C. serious
C. sat   
C. path  
C. left  
C. quickly
C. how  
C. alone
C. disappointed
C. planted
C. receive
D. blue      
D. realized  
D. even if    
D. showed    
D. lilacs    
D. door      
D. raised    
D. dinner    
D. parents    
D. hurried    
D. young      
D. chatted    
D. school    
D. cried      
D. tightly    
D. where      
D. patient    
D. cheered    
D. hid        
D. sell