问题 计算题

水龙头开口竖直向下,直径为1cm,安装在离接水盆75cm高处,现打开水龙头,水沿竖直方向流下,仔细观察将会发现连续的水流柱的直径在流下的过程中是不断减小的,现测得水在水龙头出口处的速度大小为1m/s,求水流柱落到接水盆中时的直径。(g取10m/s2

答案

解:水流下落达到稳定时,在任一段时间内,流过任一水柱截面的水的体积是一定的,即各处流量相等。由于水在下落过程中的速度不断变大,所以横截面积不断变小如图所示

自由落体:vt2-v02=2gh

流量相等:

代入数值可得:r=0.5cm

单项选择题 A1型题
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     Anorexia nervosa is an eating disorder that I struggled with for most of my middle school years and a
part of my high school years.
     At Riverview,   1   was usually a nightmare (噩梦) for me. As I   2   the dining hall, all the eyes would
be fixed upon my bony figure. I would take my place at a table full of friends and   3   to enjoy a "normal"
lunch. The   4   was that I would not always eat lunch, and that greatly   5   my friends. They would watch
to make sure that I was eating properly, almost   6   food into my mouth.
     And then, I transferred to Madison High School. I decided not to tell anyone at that school about my
eating disorder since I had almost   7   by that time. Strangely, I stopped fearing lunch when I started at
Madison. No one knew that I had an eating disorder,   8   they did not care what I ate. This   9   a huge
amount of stress from my life. It was still hard for me to eat in front of others, which is   10   for an
anorexic, but I was able to put some of my   11 aside.
     I was thankful for the students at Riverview, but they knew me only as an anorexic. My friends cared
about my health, but they   12   to care about me as a person. Truthfully, all I wanted was for them to
   13   me and not to fix on my eating disorder.
     The students at Madison took the time to know who I   14   was. They had no idea that I had been
an anorexic, so that a particular label (标签) did not   15   their opinions of me. I was finally   16   for my
talents and achievements, not my failures. I was honored as a good student. I was no longer afraid to
show my true   17  .
     My days as an anorexic taught me many lessons that I would never   18  . They taught me about life
and how to be a better friend. I learned about the joy of   19   tasks such as eating lunch. I appreciated
the people who helped me to see that there is more   20   life than having an eating disorder.
( ) 1.  A. learning  
( ) 2.  A. left       
( ) 3.  A. try        
( ) 4.  A. purpose    
( ) 5.  A. surprised  
( ) 6.  A. allowing   
( ) 7.  A. succeeded  
( ) 8.  A. but       
( ) 9.  A. lifted    
( )10. A. serious    
( )11. A. fears       
( )12. A. refused    
( )13. A. select      
( )14. A. really      
( )15. A. express    
( )16. A. determined  
( )17. A. responsibility
( )18. A. forget     
( )19. A. tough      
( )20. A. during      
B. exercise        
B. cleaned        
B. offer           
B. attempt         
B. worried        
B. forcing          
B. lost           
B. unless         
B. created         
B. unbelievable    
B. desires        
B. failed         
B. forgive        
B. probably        
B. color          
B. identified      
B. personality     
B. review          
B. complex        
B. to             
C. lunchtime  
C. crossed      
C. remember    
C. problem      
C. puzzled    
C. providing  
C. recovered  
C. so         
C. caused    
C. relevant    
C. beliefs    
C. pretended  
C. love      
C. eventually  
C. share      
C. envied    
C. appreciation
C. skip       
C. specific   
C. of         
D. homework    
D. entered      
D. stop        
D. excuse      
D. bored        
D. dropping    
D. quit        
D. though      
D. developed    
D. common      
D. doubts      
D. promised    
D. affect      
D. merely      
D. confirm      
D. recognized  
D. ambition    
D. draw        
D. routine      
D. through