问题 选择题

倾角为37°的光滑斜面上固定一个槽,劲度系数k=20N/m、原长l0=0.6m的轻弹簧下端与轻杆相连,开始时杆在槽外的长度l=0.3m,且杆可在槽内移动,杆与槽间的滑动摩擦力大小f=6N,杆与槽之间的最大静摩擦力等于滑动摩擦力。质量m=1kg的小车从距弹簧上端L=0.6m处由静止释放沿斜面向下运动。已知弹性势能,式中x为弹簧的形变量。(g=10m/s2,sin37°=0.6)。关于杆的运动情况,下列说法正确的是( )

A.杆始终保持静止

B.杆从开始运动到完全进入槽内所用时间小于0.1s

C.杆从开始运动到完全进入槽内所用时间等于0. 1s

D.杆从开始运动到完全进入槽内所用时间大于0.1s

答案

答案:C

题目分析:假设杆不动,小车下滑压缩弹簧最大时,由能量守恒定律可知:,解得:,所以弹簧的弹力,即杆在槽内发生移动.将小车和杆及弹簧看成一整体,当弹簧和杆整体受到的力等于静摩擦力的时候,轻杆开始滑动,由解得:,当弹簧的压缩量为0.3m的时候,弹簧的弹力和小车重力在斜面上的分力相等,此时整个系统开始做匀速运动设此速度为v,从小车开始运动到做匀速运动,由能量守恒定律得:,代入数据求得:v=3m/s,所以杆从开始运动到完全进入槽内所用时间为:,故选项C正确.考点:

阅读理解

A man who failed to return more than 700 children’s books to five different libraries in the county was put into prison. Yesterday he was set free after a book publisher agreed to post his bond (担保金) of $1,000. The publisher said, “There’s a story here. This is a man who loves books. He just can’t let go of them. He hasn’t stolen a single book. So what’s the crime? We think that Mr. Brush has a story to tell. We plan to publish his story.”

When asked why he didn’t return the books, Mr. Brush said, “Well, how could I? They became family to me. I was afraid to return them, because I knew that kids or dogs would get hold of these books and chew them up, throw them around, rip the pages, spill soda on them, get jam and jelly on them, and drown them in the toilet.”

He continued, “Books are people, too! They talk to you, they take care of you, and they enrich you with wisdom and humor and love. A book is my guest in my home. How could I kick it out? I repaired torn pages. I dusted them with a soft clean cloth. I turned their pages so they could breathe and get some fresh air.

“Every week I reorganized them on their shelves so they could meet new friends. My books were HAPPY books. You could tell just by looking at them. Now they’re all back in the library, on the lower shelves, on the floors, at the mercy of all those runny-nosed kids. I can hear them calling me! I need to rescue them. Excuse me. I have to go now.”

小题1:Why was the man put into prison?

A.Because the book publisher persuaded the police to do so.

B.Because he stole 700 children's books from the five different libraries.

C.Because he refused to return the books that he had borrowed.

D.Because he wanted to publish his story.小题2:How did the man treat books?

A.He treated them as real people.

B.He treated them as his own children.

C.He treated them as his furniture.

D.He treated them as his job.小题3:From the passage we can learn that the man is _____.

A.a thief

B.crazy about books

C.a writer

D.unfortunate小题4:What might happen after the man was set free?

A.He might stop borrowing books.

B.He might start a library of his own.

C.He might return all his books

D.He might go on borrowing books from libraries.

单项选择题