问题 问答题

如图所示,一质量为的滑块静止在水平台面右端点,另一质量为的滑块从与点相距点以初速度以向右运动,至处与发生弹性正碰。碰后沿原路返回至台面处静止,经时间落到地面上点。已知两滑块均能看成质点,且点离处的水平距离为与台面间的动摩擦因数为,重力加速度为,求:

(1)水平台面离地面的高度;

(2)处的初速度的大小;

(3)点离初始位置的距离。

答案

(1)(2)(3)

(1)设水平台面离地面的高度为

因为碰撞后,做平抛运动,其竖直方向遵守自由落体规律,所以有:

      ①  解得     (4分)

(2)设碰撞前后瞬间速率分别为,碰后的瞬时速率为

因为发生弹性碰撞,所以有:

       ②                   (2分)

   ③                   (2分)

且     

碰后,做平抛运动:

              ④                      (1分)

由④式求得,代入③④求解得:

(方向向左)                        (1分)

因为碰前做匀减速运动,其加速度大小为,所以有:

      ⑤

代入数据求解得:                               (2分)

(3)碰后,向左做匀减速运动,至处静止,设其位移为

           ⑥                          (2分)

代入数据求解得:

所以点离初始位置的距离为:

       ⑦                           (2分)

多项选择题 案例分析题
阅读理解

    When a close friend dies, it often forces you to consider your own death. The more you have in common with the friend, the more his death will make you wonder about your own. Sometimes you will naturally say to yourself, "It could just as easily have been me." Such a death has a way of reminding us how fragile life is, and it may cause you to reassess(重新评价) the direction of your own life.

Jack's story is a good example. A successful businessman making a lot of money, Jack didn't spend as much time with his family as he wanted. His job required him to work long hours. But three years ago one of his best friends, a man who worked in the same office, had a heart attack. He died while celebrating his daughter's eighteenth birthday in a restaurant. He was only fifty years old.

Not long after his friend's death, Jack started to have a chest pain. Finally he had a good physical check-up. He received a clean bill of health. But the chest pain continued. He kept thinking of the death of his friend. Jack thought about how much his friend missed in life and he saw how hard it was for his friend's family to manage after he passed away.

Jack realized that he didn't want to end up his life that way. He talked his feelings over with his wife and children, and decided to change his way of life. The family moved to a small town where he started a simple life. Now he is running a small art gallery(画廊). He is relaxed, and says he has never been so happy in his life, and he has got no more chest pain.

63. Your close friend's death is __________________ to you.

A. a warning           B. common            C. a direction of life     D. an example

64. The underlined sentence in the third paragraph means "________________".

A. The doctor didn't write a word on his bill

B. The doctor didn't want Jack to pay for the bill

C. The doctor didn't find anything wrong with him

D. The doctor didn't want to treat his pain

65. His friend's death made Jack ________________.

A. lose much interest in life

B. realize that he missed the friend very much

C. doubt his way of life

D. ill for some time

66. While living in the small town Jack ________________.

A. earns less money    B. gets more time 

C. has a happier life    D. does all these mentioned above