问题 问答题

长为L的细线一端固定于O点,如图所示,另一端拴一质量为m的小球.把小球拉至最高点A,以水平速度v0抛出.求当v0=

gL
2
时,球运动到最低点C时细线的拉力大小.

答案

由于v0=

gL
2
,小于小球做圆周运动通过最高点时的最小速度
gL
,故小球做平抛运动,设小球运动到如图所示的B点时细线绷紧,此时细线与竖直方向的夹角为θ,由平抛运动规律有:Lsinθ=v0t;

L(1-cosθ)=

1
2
gt2

解得:θ=90°,说明B与O在同一直线上,vBx=

gL
2
,由于细线瞬时绷紧,使小球水平速度突然变为零,所以此绷紧过程有机械能损失,然后小球以
2gL
的速度从B点开始做圆周运动到C点,由机械能守恒有:

1
2
mvBy2+mgL=
1
2
mvC2

在最低点C有:T-mg=

m
v2C
L

解得小球在最低点C时绳的拉力T=5mg.

完形填空
完形填空。
      A professor (教授) told his students to go into the city slums (贫民窟) to study the life of 200
boys. He asked them to  1  reports about each boy's life and future. Every one of the students wrote,
"He doesn't have any hope. "
    Twenty-five years  2 , another professor read about the earlier study. He told his students to  3  
what had happened to the boys. They tried very hard and found that 176 of the boys had become
successful   4   doctors, teachers and scientists.
    The professor was very  5  and decided to study further. Luckily, all the men were living near the
place and was able to ask each one,"What made you   6 ?"Each one answered,'There was a teacher. "
    The teacher was  7   living there so the professor found her and asked the old woman  8  she had
used to pull those boys  9  the slum, and change them into successful people.
    The teacher's  10  began to shine and said with a sweet smile. "It's really very easy.I loved those
boys. "
( )1. A. read    
( )2. A. later    
( )3. A. search  
( )4. A. for      
( )5. A. glad    
( )6. A. wonderful
( )7. A. already  
( )8. A. what    
( )9. A. out      
( )10. A. face    
B. study    
B. after    
B. find out  
B. With      
B. angry    
B. successful
B. yet      
B. who      
B. into      
B. eyes      
C. write    
C. ago      
C. look for  
C. as        
C. surprised
C. rich      
C. even      
C. which    
C. away      
C. hair      
D. take    
D. before  
D. see    
D. like                    
D. worried
D. popular
D. still  
D. when    
D. out of  
D. mouth  
单项选择题