题目内容
随着中国首艘航母“辽宁号”的下水,同学们对舰载机的起降产生了浓厚的兴趣. 从而编制了一道题目,请你阅读后求解.
(1)假设质量为
的舰载机关闭发动机后在水平地面跑道上降落,触地瞬间的速度为
,在跑道上滑行的
图像见图.求舰载机滑行的最大距离和滑行时受到的阻力大小(忽略空气阻力);
(2)为了让上述关闭发动机的舰载机在有限长度的航母甲板上降落停下来,甲板上设置了阻拦索让飞机减速.图为该舰载机勾住阻拦索后某一时刻的情景,此时加速度大小为(1)中的4倍,阻拦索夹角
.舰载机所受甲板阻力与(1)中阻力相同,求此时阻拦索承受的拉力的大小.(忽略空气阻力,阻拦索认为水平)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/2014082500163464020504.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250016346712475.jpg)
(1)假设质量为
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634562337.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634577323.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634593352.png)
(2)为了让上述关闭发动机的舰载机在有限长度的航母甲板上降落停下来,甲板上设置了阻拦索让飞机减速.图为该舰载机勾住阻拦索后某一时刻的情景,此时加速度大小为(1)中的4倍,阻拦索夹角
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634609377.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/2014082500163464020504.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250016346712475.jpg)
(1)v0t0/2 ;mv0/t0(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634687955.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634687955.png)
试题分析:(1)舰载机滑行的最大距离,根据
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634593352.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634718619.png)
根据
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634593352.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634749550.png)
根据牛顿第二定律知:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634765795.png)
(2)对舰载机受力分析知:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634780869.png)
由题意知:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634749550.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634811665.png)
得
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001634687955.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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