问题 计算题

(18分)如图(a)所示,“”型木块放在光滑水平地面上,木块水平表面AB粗糙,光滑表面BC且与水平面夹角为θ=37°.木块右侧与竖直墙壁之间连接着一个力传感器,当力传感器受压时,其示数为正值;当力传感器被拉时,其示数为负值.一个可视为质点的滑块从C点由静止开始下滑,运动过程中,传感器记录到的力和时间的关系如图(b)所示.已知sin37°=0.6,cos37°=0.8,g取10m/s2.求:

(18分)如图(a)所示,“”型木块放在光滑水平地面上,木块水平表面AB粗糙,光滑表面BC且与水平面夹角为θ=37°.木块右侧与竖直墙壁之间连接着一个力传感器,当力传感器受压时,其示数为正值;当力传感器被拉时,其示数为负值.一个可视为质点的滑块从C点由静止开始下滑,运动过程中,传感器记录到的力和时间的关系如图(b)所示.已知sin37°=0.6,cos37°=0.8,g取10m/s2.求:

   

(1)斜面BC的长度;

(2)滑块的质量;

(3)运动过程中滑块克服摩擦力做的功

答案

解:①分析滑块受力,由牛顿第二定律得:

得:a1=gsinθ=6m/s2

通过图像可知滑块在斜面上运动时间为:t1=1s…

由运动学公式得:

②滑块对斜面的压力为:N1/=mgcosθ…

木板对传感器的压力为:F1=N1/sinθ…

由图像可知:

F1=12N…

解得:m=2.5kg…

(说明:如果从系统考虑,答案正确得满分)

③滑块滑到B点的速度为:v1=a1t1=6m/s…

由图像可知:f1=5N,t2=2s……2分

……1分

W=fs2=40J…

阅读理解

阅读理解。

     Once the colors of the world argued with each other. All thought that they were the best and (1)______

(important). 

     Green said,"Clearly I am the most important. I am the sign of life and hope. I'm the color of grass, trees

and leaves. Without me, all animals would die."

     Yellow laughed: "You are all so serious. I bring happiness and warmth into the world. Every time people

look at a yellow sunflower, they start to smile. Without me, there would be no fun."

     Orange shouted:"I am the color of (2)______ (healthy) and strength. I have the most important vitamins

(维生素). Think of carrots, vegetables and oranges.

     When I appear in the sky, everyone is shocked at my beauty and nobody gives another thought to any

of you." Red couldn't stand it any longer,"I am the color of danger and bravery. I'm willing to fight for a cause.

I bring fire into the blood."

    Their voices became louder and louder. The thunder got angry and the rain started to pour. When they

became calm, the rain said to the colors,"You are all foolish. Don't you know that each of you is unique

(独一无二)? If you don't agree with me, just follow me." They did as the rain told them and together made

the most beautiful rainbow (彩虹).

1. 用(1)、(2)两处括号中所给词的适当形式填空。

    (1) All thought that they were the best and _______________ (important).

   (2) I'm the color of _______________ (healthy) and warmth.

2. Red couldn't stand it any longer. (同义句转化,每空一词)

    Red could _______________ _____________ stand it.

3. 根据短文内容回答问题。

    According to the passage, how many colors took part in the argument? 

    __________________________________________________________

4. 将划线句子翻译成汉语。 

    __________________________________________________________

5. What's the main idea of this passage? (不超过10个单词) 

    __________________________________________________________

单项选择题