问题 问答题

如图所示,光滑的水平面上有一个质量为M=2m的凸型滑块,它的一个侧面是与水平面相切的光滑曲面,滑块的高度为h=0.3m.质量为m的小球,以水平速度v0在水平面上迎着光滑曲面冲向滑块.试分析计算v0应满足什么条件小球才能越过滑块.(取g=1Om/S2

答案

设小球越过滑块最高点的速度为v1,此时滑块的速度为v2,根据动量守恒得:

mv0=mv1+2mv2

此过程系统机械能守恒,根据机械能守恒得:

1
2
mv02=
1
2
mv12+
1
2
2mv22+mgh

小球要越过滑块,应有v1>v2,至少也要有v1=v2,设v1=v2=v,上述两式变为

mv0=(m+2m)v

1
2
mv02
1
2
(m+2m)v2+mgh

  解得v0>3m/s

答:小球要越过滑块,初速度应满足v0>3m/s.

完形填空
完形填空
     When describing people, we often use the three common words: men, women, children. ___1_ of us
agree that boys and girls should have __2__ rights. But in almost every society in the __3__, girls are
treated less well than boys. __4__, people paid little attention to differences __5__ boys and girls and the
ways in _6__ they were treated. However, recent research __7__ that girls receive less attention than
boys in matter __8__ as schooling, health, jobs and earnings. __9__ girls were valued and treated as well
as boys, there would be _10__ another 100 million women in the world.
     In___11_ countries of the world, girls live with families __12__ whom they work as servants. They
_13___ twelve hours a day, often receive no__14__, have no bedroom of their own and are not __15__
to run away. Why doe this happen? The __16__ is that poor families who live in the country __17__ not
be able to have enough food for all their children. So girls are ___18___ to families in towns to work
__19__ servants. In Haiti there are 109,000 children, __20__ girls, aged 5-18 who live with rich families
and work for nothing.
( )1.  A. None  
( )2.  A. different
( )3.  A. world    
( )4.  A. In fact
( )5.  A. both    
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( )12.  A. with    
( )13.  A. work    
( )14.  A. help  
( )15.  A. advised
( )16.  A. reason  
( )17.  A. can    
( )18.  A. fed    
( )19.  A. on      
( )20.  A. sent    
B. Few      
B. safe      
B. family    
B. In all    
B. between  
B. what    
B. imagines  
B. such      
B. Even if  
B. at most  
B. any    
B. for    
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B. hope    
B. forbidden
B. fact    
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B. devoted  
B. as        
B. seldom 
C. Most    
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C. town    
C. In the end
C. from    
C. which      
C. improves  
C. the same  
C. Unless    
C. at least  
C. all      
C. by        
C. spend      
C. attention  
C. able      
C. question  
C. must      
C. sent      
C. with      
C. hardly    
D. Every one  
D. equal      
D. country    
D. In the past
D. about      
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D. proves      
D. so          
D. When        
D. at once    
D. many        
D. from        
D. need        
D. money      
D. free        
D. problem    
D. should      
D. fit        
D. for        
D. surely      
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