苦海无边123 发表于 2023-9-15 13:33:14

苦海无边123 发表于 2023-9-15 09:57
关于使用能量守恒的办法来评估的,我举个例子:
假如小车在被碰撞的时候,一开始是不动的,直到弹簧的弹 ...


另外说一下能量守恒的问题:
弹簧接触i小车→弹簧开始受压,小车加速度a逐渐增大→小车和大车速度相同,达到V,此时弹簧压缩到最大,小车加速度a最大→弹簧开始恢复,推动小车继续加速,但是此时的小车加速度a开始减小→最终弹簧恢复原长,小车加速度降低为0,小车速度达到最大值Vmax,Vmax大于大车速度V。
结合上面的情况,弹簧压缩到最大时的弹性势能,应该是等于小车速度比大车速度多出来的这部分动能,即:
1/2*K*X²=1/2*M*(Vmax-V)²

上面这个公式变量太多,用不起来。

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

苦海无边123 发表于 2023-9-15 13:56:17

用积分的话,主要就说对加速度a积分得到V,再对V积分得到行程L。但是最后换算不出来,我感觉思路是对的,就说生疏了。

pacelife 发表于 2023-9-15 16:41:50

我的解法,借助了数学软件:








大白小白 发表于 2023-9-15 18:30:05

shentu 发表于 2023-9-15 10:29
碰撞不减速不满足能量守恒定律。
在错误的假设前,是不可能得到答案的。。。。
积啥分呀,高中物理就够了 ...

可惜高中物理没入门

大白小白 发表于 2023-9-15 18:30:28

pacelife 发表于 2023-9-15 16:41
我的解法,借助了数学软件:

大佬,为什么搞这么复杂呢?

大白小白 发表于 2023-9-15 18:32:26

苦海无边123 发表于 2023-9-15 13:33
另外说一下能量守恒的问题:
弹簧接触i小车→弹簧开始受压,小车加速度a逐渐增大→小车和大车速度相同 ...

在这个题的框架假设里,能量压根就"不守恒"。

LatersM 发表于 2023-9-15 19:02:37

各位算了这么久结果是不是((mv^2)/k))开平方,最终小车速度是2V。

rshg 发表于 2023-9-15 20:10:24

数学软件,使用厉害。一直想学用。

喂我袋盐 发表于 2023-9-16 21:29:14

苦海无边123 发表于 2023-9-15 13:33
另外说一下能量守恒的问题:
弹簧接触i小车→弹簧开始受压,小车加速度a逐渐增大→小车和大车速度相同 ...

高中物理,基本白学了。

喂我袋盐 发表于 2023-9-16 21:30:04

LatersM 发表于 2023-9-15 19:02
各位算了这么久结果是不是((mv^2)/k))开平方,最终小车速度是2V。

何以证明,最终小车速度=2V?
页: 1 [2] 3
查看完整版本: 今天在实际应用过程中,遇到一个很有趣的问题,我简化一下,各位高工可以帮忙看看