问题 计算题

如图所示,甲为操场上一质量不计的竖直滑竿,滑竿上端固定,下端悬空,为了研究学生沿竿下滑的情况,在竿的顶部装有一拉力传感器,可显示竿的顶端所受拉力的大小。现有一学生手握滑竿,从竿的上端由静止开始下滑,下滑5s后这个学生的下滑速度为零,并用手紧握住滑竿保持静止不动。以这个学生开始下滑时刻为计时起点,传感器显示的力随时间变化的情况如图乙所示。求:

(1)该学生下滑过程中的最大速度;

(2)5s内该学生下滑的距离。

答案

解:(1)因为杆顶端所受拉力大小与杆对这名学生拉力的大小相等,所以传感器显示的力大小即为杆对这名学生的拉力

由图像可知,0~1s内,杆对学生的拉力F1=380N;第5s后,杆内学生的拉力F3=500N,此时学生处于静止状态。设学生在0~1s内的加速度为a,取向下为正方向,由牛顿第二定律知

在0~1s内:

第5s后:

由①②可解得:a=2.4m/s2

可知,这名学生在下滑的第1秒内做匀加速直线运动。而由图像可知,第1~5s内,杆对学生的拉力F2>mg,加速度方向竖直向上,学生做匀减速直线运动,所以

第1s末,这名学生达到最大速度=2.4m/s

(2)设这名学生第1s内加速下滑的距离为x1,第1~5s内减速下滑的距离为x2,则有

所以5s内该学生下滑的距离=6.0m

阅读理解

None of our early ancestors could digest milk as adults because their bodies never had to ----milk drinking simply wasn’t an option. As people began to extract milk from animals, though, some people developed the ability to keep drinking it throughout their lives.

Scientists now know of a milk-related mutation ( 变异) in our genes -- the chemical instructions for life that we carry in almost every cell in our bodies. People who have a mutated form of one particular gene can drink milk just fine. People without the mutation tend to get sick from milk.

To figure out where, and possibly why, milk drinking started, some scientists have been looking at who has the milk-digesting mutation today. Patterns are striking.

Most adults in Northern and Central Europe are able to digest milk -- and they do. Cheese and butter and other dairy products are popular in countries such as Sweden, Denmark, Germany and England. Because European settlers dominated North America, most people here can handle milk just fine, as well. That may explain why ice cream is such a popular dessert in the United States.

In much of Africa, Asia and South America, on the other hand, people tend to avoid dairy products because they lead to diarrhea (腹泻) and other stomach problems. (That’s why you won’t typically find cheese on the menu at a Chinese, Japanese or Ethiopian restaurant.) Native

Americans are also unable to digest milk.

Based on these genetic patterns, scientists have long thought that- milk drinking started inNorthern Europe, where dairy is an institution and the milk-digesting mutation is everywhere.

A recent study painted a different picture. With a computer medal, Thomas and colleagues looked at the spread of the milk-drinking mutation, farming and other related factor. Working backward, the scientists concluded that the first milk-thinkers lived in Central Europe around what’s now Hungary about 7,500 years ago. The practice didn't start farther north, as scientists had thought before.

66. Which of the following is the proper order of events according to the passage?

a. Their children were able to digest milk as adults.

b. They got sick from the milk.

c. Some people got a mutation in their genes.

d. Some people tried drinking milk from animals.

e. Some people started to drink milk from animals on a regular basis.

A. c→d→b→e→a   B. d→e→b→c→a  C. d →b→e→c→a   D. e→d→b→c→a

67. Most people in the USA can digest milk because __________.

A. they have strong stomachs              B. their ancestors were Europeans

C. that’s where milk drinking stinted       D. farmers raise a lot of cows there

68. Which of the following is LEAST likely to appear on the menu in a Japanese restaurant?

A. Butter.          B. Vinegar.          C. Fish.               D. Beef.

69. Which of the following is the author most likely to agree with?

A. Milk drinking first started in Northern Europe.

B. Milk drinking first started in Central Europe.

C. North American Indians were able to digest milk.

D. Dairy products are very popular in North Korea.

70. The main focus of the scientists' research was ______________.

A. mutation of human genes               B. development of the human stomach

C. why milk drinking started              D. where milk drinking first started

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