问题 计算题

如图所示,水平面上紧靠放置着等厚的长木板B、C(未粘连),它们的质量均为M=2kg。在B木板的左端放置着质量为m=1kg的木块A(可视为质点)。A与B、C间的动摩擦因数均为μ1=0.4,B、C与水平面间的动摩擦因数均为μ2=0.1,滑动摩擦力等于最大静摩擦力。开始整个系统处于静止,现对A施加水平向右的恒定拉力F=6N,测得A在B、C上各滑行了1s后,从C的右端离开木板。求:⑴木板B、C的长度lB、lC;⑵若在木块A滑上C板的瞬间撤去拉力F,木块A从开始运动到再次静止经历的总时间t(此问答案保留3位有效数字)。

答案

(1) (2)

题目分析:(1)A在B的上表面滑行过程,A受滑动摩擦力方向向左,根据作用力反作用力,B受A的摩擦力方向向右,而B要运动必须和C一起运动,B和C与地面之间最大静摩擦力

由于,所以A在B上表面滑行时,BC保持静止不动。

分析A的运动,在B表面运行1s时间内,位移即为B的长度得到

A滑上C即离开B的速度

A滑上C的表面后受摩擦力向左,同样C受到摩擦力向右,大小仍是

而C受摩擦力向右,C受到地面的最大静摩擦力

由于,所以C的运动为匀加速

经过1秒钟,A的位移

C的位移

所以C的长度

(2)A滑上C的表面后受摩擦力向左,同样C受到摩擦力向右,大小仍是

而C受摩擦力向右,C受到地面的最大静摩擦力

由于,所以C的运动为匀加速

而A撤去拉力后,受摩擦力左右,A的加速度

此过程A减速,C加速,当二者速度相等时一起做匀减速运动

从滑上C到二者速度相等,假设时间,则有得到此时共同速度,匀减速到0需要时间

木块A从开始运动到再次静止经历的总时间

阅读理解

阅读理解

       John likes chocolates very much, but his mother doesn't give him. They are bad for his teeth, she

thinks. But John has a very nice grandfather. The old man loves his grandson very much. And sometimes

he buys John some chocolates. Then his mother lets him eat them, because she wants to make the old

man happy.

       On Sunday evening, it is John's seventh birthday. He says, "Please, God(上帝), make them give me

a big box of chocolates for my birthday,"His mother says, " God can't hear you. Don't shout(喊)."                " I know, "says the clever boy with a smile(微笑). " But my grandfather is in the next room, and he

can!"

1. John's mother thinks________.      

A. John's teeth are bad          

B. chocolates are good for her teeth

C. chocolates are bad for John's teeth  

D. John likes cakes

2. Why does John's mother let him eat chocolates sometimes?

A. Because John wants to eat them.  

B. Because John's father buys some chocolates for him.

C. Because she is happy.    

D. Because she wants to make John's grandpa happy.

3. Why does John shout? Because he wants to make _________hear him. 

A. his grandpa        

B. his grandma      

C. his mother      

D. his father

 4. Which one is right?   

A. The grandfather is bad.      

B. John studies hard in his school.

C. John is clever.            

D. John's mother doesn't love him.

5. What day is John's seventh birthday?       

A. Saturday      

B. Friday    

C. Tuesday          

D. Sunday

单项选择题