问题 选择题

一个初动能为E的小物块从斜面底端冲上足够长的斜面,返回斜面底端时速度大小为v,该过程物体克服摩擦力做功为

E
2
.若小物块冲上斜面的初动能变为2E,则(  )

A.返回斜面底端时动能为

3E
4

B.返回斜面底端时动能为

3E
2

C.返回斜面底端时速度大小为2v

D.返回斜面底端时速度大小为

2v

答案

以初动能为E冲上斜面并返回的整个过程中运用动能定理得:

1
2
mV2-E=-
E
2

设以初动能为E冲上斜面的初速度为V0,则以初动能为2E冲上斜面时,初速度为

2
V0,加速度相同,根据2ax=V2-V02可知第二次冲上斜面的位移是第一次的两倍,所以上升过程中克服摩擦力做功是第一次的两倍,整个上升返回过程中克服摩擦力做功是第一次的两倍,即为E.

以初动能为2E冲上斜面并返回的整个过程中运用动能定理得:

1
2
mV′2-2E=-E  ②

所以返回斜面底端时的动能为E,A错误,B错误;

由①②得:V′=

2
V,C错误,D正确.

故选D.

判断题
完形填空
完形填空
     A large cat arrived at a farm where many mice lived.None of them dared go outside for fear of
being   1   by the cat.
     The mice decided to hold a   2   to find a way of stopping themselves from being in_3_.One day,
when the cat was out, mice of all ages   4   into the meeting room.
     "Let's build a big trap, "one mouse  5  .When this idea was  6  , another said, "What about
poisoning (毒死) her?"But  7   knew where to buy the poison.One young mouse, whose mother had
become the cat's food,   8   said, "Let's cut her teeth, so she can do no more harm."But the meeting
did not accept his  9  .
     At last, one mouse,   10   than the rest, jumped onto a table.Waving a bell, he called for  11  , "Be
quiet!We'll tie this bell to the cat's tail, so we'll always know   12   she is!We'll have  13    to escape,
and the slower and weaker mice will hear her coming and be able to  14  !" Hearing the words, everyone
got  15   and they congratulated him on his good idea.
     "We'll tie it so tightly (紧紧地) that it will never  16  !"
     "She'll never be able to walk 17   again!Why, the other day, she suddenly appeared right in front
of me!Just imagine..."
     However, the wise mouse said, "We must  18    who is going to tie it on her tail." There was not a
sound in the room.Nobody was  19   enough to put the plan into action.The meeting ended without any
decision being made.
     It's often very  20   to have bright ideas, but putting them into practice is a more difficult matter.
( )1. A. trained    
( )2. A. party      
( )3. A. return      
( )4. A. rushed      
( )5. A. questioned  
( )6. A. supported  
( )7. A. everybody  
( )8. A. angrily    
( )9. A. present    
( )10. A. younger    
( )11. A. pleasure  
( )12. A. where      
( )13. A. experience
( )14. A. shout      
( )15. A. worried    
( )16. A. drop off  
( )17. A. gladly    
( )18. A. believe    
( )19. A. honest    
( )20. A. easy      
B. taught      
B. test        
B. danger      
B. swam        
B. explained  
B. discussed  
B. nobody      
B. happily    
B. reason      
B. longer      
B. silence    
B. what        
B. power      
B. watch      
B. excited    
B. turn up    
B. quickly    
B. learn      
B. brave      
B. difficult  
C. caught      
C. game        
C. fact        
C. flew        
C. suggested  
C. accepted    
C. somebody    
C. carefully  
C. idea        
C. stronger    
C. help        
C. how        
C. time        
C. stay        
C. surprised  
C. get up      
C. quietly    
C. imagine    
C. rich        
C. strange    
D. invited      
D. meeting      
D. need        
D. stepped      
D. answered    
D. refused      
D. anybody      
D. slowly      
D. excuse      
D. wiser        
D. information  
D. who          
D. space        
D. hide        
D. tired        
D. put off      
D. directly    
D. decide      
D. old          
D. important